Which one of the following expressions is equivalent to 6c?

Which One Of The Following Expressions Is Equivalent To 6c?

Answers

Answer 1
it would be the third one since it is adding c 6 times
Answer 2

Answer:

The expression that is equivalent to 6c is:

2 x 3 x c

3 x 2 x c

(2 x 3) x c

(3 x 2) x c

6 x c

All of these expressions represent the product of 6 and c, which is the same as multiplying 6 and c together. Therefore, they are equivalent to 6c.

Step-by-step explanation:


Related Questions

Solve for x please

Choices are...
10
5
25
90

Answers

Answer:

x = 10

Step-by-step explanation:

Angle form is = 90°

therefore

5x + 25 + x + 5 = 90

6x + 30 = 90

6x = 90-30

6x = 60

6x/6 = 60/6

x = 10

the value of r-squared always falls between ________ and ________, inclusive.

Answers

The value of r-squared always falls between 0 and 1, inclusive, as it represents the proportion of the variation in the dependent variable that is explained by the independent variable(s).

The value of R-squared, also known as the coefficient of determination, is a measure of the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a linear regression model.

The value of R-squared ranges from 0 to 1, with 0 indicating that the model does not explain any of the variance in the dependent variable, and 1 indicating that the model explains all of the variance in the dependent variable. Thus, the value of R-squared always falls between 0 and 1, inclusive. A higher value of R-squared indicates a better fit of the model to the data.

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The value of r-squared, also known as the coefficient of determination, always falls between 0 and 1, inclusive.

R-squared is a statistical measure that represents the proportion of the variance in the dependent variable that is

explained by the independent variable(s).

It ranges from 0 to 1, where 0 indicates that the independent variable(s) does not explain any of the variation in the

dependent variable, and 1 indicates that the independent variable(s) explain all of the variation in the dependent

variable.

An R-squared value of 1 is therefore a perfect fit of the model to the data.

therefore, The value of R-squared always falls between 0 and 1, inclusive.

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A=P(1+r/n)^nt Find how long it takes for $1400 to double if it is invested at 7% interest compounded monthly. Use the formula A = P to solve the compound interest problem. TE The money will double in value in approximately years. (Do not round until the final answer. Then round to the nearest tenth as needed.)​

Answers

It will take 10 years to double the amount.

Given that, the amount $1400 to double if it is invested at 7% interest compounded monthly, we need to calculate the time,

[tex]A = P(1+r/n)^{nt}[/tex]

[tex]2800 = 1400(1+0.0058)^{12t}[/tex]

[tex]2= (1.0058)^{12t[/tex]

㏒ 2 = 12t ㏒ (1.0058)

0.03 = 12t (0.0025)

12t = 120

t = 10

Hence, it will take 10 years to double the amount.

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A composite figure is shown.

A five-sided figure with two parallel sides. The shorter one is 16 feet. The height of the figure is 22 feet. The portion from the vertex to the perpendicular height is 6 feet. The portion from a point to a vertical line created by two vertices is 6 feet.

Which of the following represents the total area of the figure?

968 ft2

616 ft2

484 ft2.

352ft2

Answers

Area of figure is 484ft².

Define area of rectangle and triangle

The area of a rectangle is the amount of space that is enclosed by its sides. It is calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is:

Area = length x width

where "length" refers to the longer side of the rectangle, and "width" refers to the shorter side.

The formula for the area of a triangle is:

Area = (base x height) / 2

where "base" refers to the length of the side of the triangle that is parallel to the ground, and "height" refers to the length of a line that is perpendicular to the base and connects the base to the opposite vertex.

Area of figure=Area of 1st triangular part+ Area of rectangular part+ Area of 2nd triangle

=1/2× 22× 8 + 16 ×22 + 1/2 ×4×22

=88+352+44

=484ft².

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14. An airplane flew 2,800 miles from Los Angeles to New York. The airplane flies at approximately 500
mi/hr. How many hours did it take the plane to reach New York?

Answers

Answer:

Speed= 500ml/hr

total distance= 2800 m

total time = d/t

2800/500= 5.6hrs

Step-by-step explanation:

determine the failure rate for a 100-hr test of 11 samples, where 3 items failed at 35, 64 and 72 hrs., respectively.

Answers

The failure rate for the 100-hour test with 11 samples is 2.73%. It can be expressed as the proportion of failed samples over the total time of the test and the number of samples.

How to determine the failure rate?

To determine the failure rate for a 100-hr test of 11 samples, where 3 items failed at 35, 64, and 72 hours, respectively, we can use the following formula:

Failure rate = (Number of failures / Total time of the test) * (1 / Number of samples)

Number of failures = 3

Total time of the test = 100 hours

Number of samples = 11

So, the failure rate would be:

Failure rate = (3 / 100) * (1 / 11) = 0.0273 or 2.73%

Therefore, the failure rate for this 100-hour test with 11 samples is 2.73%.

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a kite flying in the air has a 94- string attached to it, and the string is pulled taut. the angle of elevation of the kite is . find the height of the kite. round your answer to the nearest tenth.

Answers

The height of the kite is approximately 68.4 ft.

To solve the problem, we can use trigonometry. We know that the string is the hypotenuse of a right triangle, with the height of the kite as one of the legs. The angle of elevation, which is the angle between the string and the ground, is also given. We can use the tangent function to find the height of the kite:

tan(46°) = height / 94

Solving for height, we get:

height = 94 * tan(46°)

Using a calculator, we get:

height ≈ 68.4 ft

Therefore, the height of the kite is approximately 68.4 ft.

We use the given angle of elevation and the length of the string to set up a right triangle with the height of the kite as one of the legs. Then, we use the tangent function to relate the angle to the height of the kite. Finally, we solve for the height using a calculator and round to the nearest tenth as requested.

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Complete Question:

A kite flying in the air has a 94-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 46 °. Find the height of the kite. Round your answer to the nearest tenth.

identify the following equations as increasing linear, decreasing linear, positive quadratic, negative quadratic, exponential growth, or exponential decay.
(please help )

Answers

The types of equations in the question based on the values of the base, the slope and leading coefficients of the equations are;

11. Exponential growth

12. Exponential growth

13. Decreasing linear

14. Positive quadratic

15. Increasing linear

16. Exponential growth

17. Exponential decay

18. Exponential decay'

19. Positive quadratic

20. Linear increasing

21. Exponential growth

22. Negative quadratic

23. Negative quadratic

24. Exponential decay

What is an equation?

An equation is a statement that indicates that of two expressions are equivalent, by joining them with an '=' sign.

11. The exponential equation is; y = (5/2)ˣ

The growth or decay factor, which is the base is; (5/2) > 1, therefore, the equation is an exponential growth equation

12. The exponential equation is; y = (1/4) × 3ˣ

3 > 1, therefore the equation is an exponential growth function

13. The equation y = -2·x -10 is a linear equation with a negative slope of -2, indicating that the value of y is decreasing as x increases, therefore, the equation is decreasing linear

14. The equation, y = 2·x² + 5·x - 7, which is a quadratic equation

The leading coefficient, 2, is positive, therefore, the equation is a positive quadratic equation

15. The equation y = 4·x - 3 has a positive slope, of 4, therefore, it is an increasing linear equation

16. The exponential equation (2/5)·9ˣ, with 9 > 1, is an exponential growth equation

17. The equation  3·(1/4)ˣ, with (1/4) < 1, is an exponential decay equation

18. The equation 2·(0.1)ˣ, with 0.1 < 1, is an exponential decay equation

19. The equation y = (x + 2)² is a quadratic equation

(x + 2)² = x² + 4·x + 4

The leading coefficient is 1, therefore, the equation is a positive quadratic equation

20. The linear equation 4·x + y = 7 with a positive slope of +4 indicates that the y-value of the function is increasing as the x-value of the equation is increasing, therefore, the function is an increasing linear equation

21. The exponential equation, y = 2·5ˣ, with 5 > 1, and 2 > 0, is an exponential growth equation.

22. The equation y = -(x - 3)² is a quadratic equation. The minus sign in front of the expression (x - 3) indicates that the leading coefficient, obtained by expansion, is negative

y = -(x - 3)² = -(x² - 6·x + 9) = -x² + 6·x - 9

The leading coefficient is -1, therefore the equation negative quadratic

23. The equation, y = -6·x² -5·x + 4, with a leading coefficient of -6 is a negative quadratic equation

24. The exponential equation, y = (1/7)·(3/8)ˣ, with (1/7) > 0 and (3/8) < 1 is an exponential decay equation

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A European derivative instrument on IBM has the following payoff structure at the maturity date in 3 years:
a) ST if ST < 120
b) 120 + 2 * (ST – 120) if 120 < = ST <= 160
c) 200 if 160 <= ST <= 200
d) ST if 200 <= ST where ST is the price at the maturity date.
The spot price is 154 and the volatility is 25%. The risk-free interest rate is 4% and we consider a 6-step binomial tree.
(a) Use Excel to draw this payoff pattern for the following price interval [0 , 300] with a step of 10. (2 marks)
(b) Based on the graph in (a), explain briefly how the premium of this derivative security should compare to IBM spot price. (2 marks)
(c) Price this contract using a 6-step binomial tree and confirm your findings in (b). Show all details and only state if arbitrage opportunity is available or not. (3 marks)

Answers

The price of the European derivative instrument on IBM is approximately $212.80.

Based on the graph, we can see that the payoff of the derivative instrument is capped at 200, regardless of the price of IBM at the maturity date.

Therefore, the premium of this derivative security should be lower than the spot price of IBM, as the potential upside is limited.

To price the derivative instrument using a binomial tree, we first need to calculate the up and down factors:

u = e(σ * √Δt) = e(0.25 * √(3/6)) = 1.35914

d = 1/u = 0.73516

where σ is the volatility, Δt is the time step, and u and d are the up and down factors, respectively.

Next, we calculate the risk-neutral probability of an up move:

p = (e(r * Δt) - d) / (u - d) = (e(0.04 * 3/6) - 0.73516) / (1.35914 - 0.73516)

= 0.57348

Expected payoff at node (2, 1) = 200

Expected payoff at node (2, 2) = 44.16

Expected payoff at node (2, 3) = 44.16

Expected payoff at node (3, 1) = 57.76

Expected payoff at node (3, 2) = 57.76

Expected payoff at node (3, 3) = 32.04

Expected payoff at node (4, 1) = 75.68

Expected payoff at node (4, 2) = 44.16

Expected payoff at node (4, 3) = 32.04

Expected payoff at node (5, 1) = 108.36

Expected payoff at node (5, 2) = 57.76

Expected payoff at node (6, 1) = 158.28

Where r is the risk-free interest rate and p is the risk-neutral probability of an up move.

The expected payoff at each node can be calculated using the risk-neutral probabilities and the corresponding payoffs:

At node 5, the expected payoff is:

0.4575 * 0 + 0.5425 * (120 + 2 * (1.25 * 154 – 120)) = 212.80

At node 4, the expected payoff is:

0.4278 * 0 + 0.5722 * (120 + 2 * (1.25 * 136 – 120)) = 199.13

At node 3, the expected payoff is:

0.4008 * 0 + 0.5992 * (120 + 2 * (1.25 * 120 – 120)) = 185.58

At node 2, the expected payoff is:

0.3766 * 0 + 0.6234 * (120 + 2 * (1.25 * 105 – 120)) = 172.98

At node 1, the expected payoff is:

0.3549 * 0 + 0.6451 * (120 + 2 * (1.25 * 92 – 120)) = 161.27

At node 0, the expected payoff is:

0.3354 * 0 + 0.6646 * (1.25 * 80) = 83.07

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4. A bag of candy has 22 twix, 14 reeces, and 16 hersheys. Give a reduced ratio of non-twix to ALL candy.

Answers

Answer: 30/52 or 58%

Step-by-step explanation:

The non-Twix candies to all candies is 30 pieces of non-Twix to 52 total candies. This is a ratio of 30:52 or 58%. I hope this helps you. <3

Answer: 15 non-twix to 26 total candy

Step-by-step explanation:

non twix: 14+16=30

all candy: 22+14+16=52

30:52

simplify

15:26

Ron must spend less than $400 on a rental car. Part A create an inequality that models the amount of money ,x, in dollars Ron can spend on the rental car​

Answers

Answer Let x represent cost of a rental car

x < $400

So cost is less than $400

6) Practice: Using Visual Cues Label each part of the diagram. Then use your labels to complete the sentences. Square Root Notation √6 1. The expression √ means "the of b". 2. The exponent 1 symbol (√) stands for the 3. The number or expression under the radical symbol is called the​

Answers

1. The expression √b means "the square root of b".

2. The radical symbol (√) stands for the exponent 1/2.

3. The number or expression under the radical symbol is called the radicand.

What is radicand?

A radicand is the number or expression underneath a radical symbol (√). It is the number or expression that is being operated on by the root. The square root of the radicand is the result of the operation.

The expression √6 represents the square root of 6. This is the value of x that, when multiplied with itself, results in 6.

The square root of 6 is equal to 2.44948974, which is the positive solution to the equation x² = 6.

The radical symbol (√) indicates that the expression is a root and the number or expression under the radical symbol is called the radicand, which is 6 in this case.

The exponent of the radical symbol is 1/2, which implies that the expression is a square root.

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please help!

If r=0.5 m, A = ???

(Use the r key.)

Answers

The area of a circle of radius of 0.5 meters is 0.785 square meters.

How to find the area of the circle?

Remember that for a circle of radius r, the area is:

A = pi*r²

Where pi = 3.14

Here we know that r = 0.5m, then we can input that in the formula for the area that is above, we will get.

A = 3.14*(0.5m)²

A = 3.14*0.25 m²

A = 0.785  m²

That is the area of the circle.

Complete question: Let's say that r is the radius of a circle and A is its area, then: If r=0.5 m, A = ?

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Find the value of ‘x’
x =

Answers

The value of x, in the image given is calculated by applying the intersecting chords theorem, which is: x = 16.

What is the Intersecting Chords Theorem?

The Intersecting Chords Theorem, also known as the Ptolemy's Theorem, states that in a circle, if two chords intersect, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

In mathematical terms, if two chords, AB and CD, intersect at point E inside a circle, then:

AE × EB = CE × ED

Applying the theorem, we have:

5(x) = (x - 6)8

5x = 8x - 48

5x - 8x = -48

-3x = -48

x = 16

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Show that cosh2x−sinh2x=1 � � � ℎ 2 � − � � � ℎ 2 � = 1 Differentiate with respect to x � e3xx2+1 � 3 � � 2 + 1 y=secx � = sec ⁡ � y=tanx2 � = tan ⁡ � 2 Differentiate with respect to x � y=ln(x+sinx) � = ln ⁡ ( � + sin ⁡ � ) y=cosxx2 � = cos ⁡ � � 2 Find dydx � � � � given siny+x2y3−cosx=2y sin ⁡ � + � 2 � 3 − cos ⁡ � = 2 � Differentiate from first principles y=cosx � = cos ⁡ � x3+2x2+3x+4 � 3 + 2 � 2 + 3 � + 4 Find d2ydx2 � 2 � � � 2 Given 3x3−6x2+2x−1 3 � 3 − 6 � 2 + 2 � − 1

Answers

We can conclude that cosh2x−sinh2x=1.

What is equation?

An equation is a mathematical statement that states that two expressions are equal. It is typically written as a comparison between two expressions and consists of an equal sign (=). Equations are used to solve mathematical problems, to understand the relationships between different quantities, and to describe the behavior of a physical system. In addition, equations are used to calculate various quantities, such as the area of a circle or the speed of an object.

To show that cosh2x−sinh2x=1, we can use the identities for cosh2x and sinh2x. The identity for cosh2x is cosh2x=2cosh2x−1 and the identity for sinh2x is sinh2x=2sinh2x−1.

Substituting these identities into the equation cosh2x−sinh2x=1 yields 2cosh2x−1−2sinh2x−1=1. Simplifying this equation yields cosh2x−sinh2x=1, as required. Thus, we can conclude that cosh2x−sinh2x=1.

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Simplifying this equation yields [tex]\cosh^2x-sinh^2x=1[/tex], as required. Thus, we can conclude that [tex]\cosh^2x-sinh^2x=1[/tex].

What is equation?

An equation is a mathematical statement that states that two expressions are equal. It is typically written as a comparison between two expressions and consists of an equal sign (=). Equations are used to solve mathematical problems, to understand the relationships between different quantities, and to describe the behavior of a physical system. In addition, equations are used to calculate various quantities, such as the area of a circle or the speed of an object.

We will show that [tex]\cosh^2x-sinh^2x=1[/tex].

Let us consider the expression [tex]\cosh^2x-sinh^2x.[/tex]

Then, [tex]\cosh^2x=(e^2x+e^{-2}x)/2[/tex] and [tex]sinh^2x=(e^2x+e^{-2}x)/2[/tex]

Substituting, we get [tex]\cosh^2x -\sinh^2x=(e^2x+e^{-2}x)/2\ -(e^2x+e^{-2}x)/2[/tex]

Simplifying, we have [tex]\cosh^2x -\sinh^2x=e^2x+e^{-2}x-e^2x+e^{-2}x[/tex]

[tex]=2e^{-2}x\\\\=2(e^{-2}x)\\\\=2[/tex]

Hence, [tex]cosh^2x-sinh^2x=1[/tex]

Therefore, we have shown that [tex]cosh^2x-sinh^2x=1[/tex]

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The correct form of question is Show that cosh2x−sinh2x=1 .

Which of the following ratios is in proportion to the ratio 3:4? (choose any that work)
5:6
12:14
12:16
6:7
4:5
6:8

Answers

Answer: 12:16

Step-by-step explanation: If you simply the ratio by dividing each side by 4 you are left with 3:4

Answer: 12:16,6:8

Step-by-step explanation:

simplify

12:16=3:4

6:8=3:4

Joanna rented a bike for Friday and Saturday. The cost of renting a bike on the weekdays is $7. She used a coupon and paid half the amount on Friday. The amount she paid on Saturday was $4 less than twice the regular cost of renting a bike on weekdays.

How much did she spend on renting the bike?
A.
$13.50
B.
$32.00
C.
$21.50
D.
$24.00

Answers

The solution is A, which is $13.50 as a two-day bike rental normally costs $7 each day multiplied by two days for a total of $14.

what is amount ?

The term "amount" designates a sum or number, typically expressed in terms of monetary value or a tangible good. It can also be used to describe the whole amount of anything, such as the total time that is spent on a work or the total amount of rain that falls in a specific location. "Amount" is frequently used synonymously with "amount" or "total."

given

A two-day bike rental normally costs $7 each day multiplied by two days for a total of $14.

Joanna paid $7/2 ($3.50) on Friday thanks to a voucher she utilised to pay half the price.

The normal Saturday bike rental fee should be "x." Then, according to the issue, Joanna paid $4 less than double what renting a bike normally costs during the workweek. As a result, she spent $10 on Saturday (2($7) - $4).

As a result, she spent the following sum overall to rent the bike:

$3.50 + $10 = $13.50

The solution is A, which is $13.50 as a two-day bike rental normally costs $7 each day multiplied by two days for a total of $14.

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3(x + y) = y
If (x, y) is a solution to the equation above and
y = 0, what is the ratio * ?

Answers

The answer to this question is x:0

Which equation could be solved using this application of the quadratic formula?
-(12) ± √(12)²-4(2)(-9)
2(2)
O 12x² - 4x + 13 = 4
12x² - 4x + 4 = 13
2x² + 12x + 13 = 4
2x² + 12x + 4 = 13
x =

Answers

An equation that could be solved using this application of the quadratic formula include the following: D. 2x² + 12x + 4 = 13.

What is a quadratic equation?

In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical equation:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

For the given quadratic equation 2x² + 12x + 4 = 13, we have:

2x² + 12x + 4 = 13

2x² + 12x + 4 - 13 = 0

2x² + 12x - 9 = 0

By substituting, we have;

[tex]x = \frac{-(12)\; \pm \;\sqrt{(12)^2 - 4(2)(-9)}}{2(2)}[/tex]

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Keyana puts beads at the ends of her braids. On a single braid, she places 7 beads that are
each 1.03 centimeters long. Then she adds a final bead that is 0.9 centimeter long. The
expression below can be used to find the total length of the beads on one of Keyana's braids.
7 x 1.03 +0.9
What is the total length of the beads on one braid?
A 7.3 centimeters
B.8.11 centimeters
C.9.19 centimeters
D: 10.0 centimeters

Answers

The total length of the beads on one braid is 8.11 centimeters

What is the length?

Keyana places 7 beads on one braid, and each bead is 1.03 centimeters long. So, the total length of these 7 beads would be 7 multiplied by 1.03, which is equal to 7.21 centimeters.

To find the total length of the beads on one braid, we need to evaluate the expression:

7 x 1.03 + 0.9

Multiplying 7 by 1.03 gives us:

7 x 1.03 = 7.21

Then, adding 0.9 gives us:

7.21 + 0.9 = 8.11

Therefore, the total length of the beads on one braid is 8.11 centimeters.

So, the correct answer is B.8.11 centimeters.

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a client is receiving an iv solution of 2 grams of medication diluted in 100 ml of normal saline over a one hour time period. how many mg of medication is the client receiving per minute? (enter numeric value only. if rounding is required, round to the nearest whole number.)

Answers

The client will be receiving 1.67 ml of medication in one minute and it will have 0.334 g of medication per minute.

Here 2g  of medication is diluted with 100 ml of normal saline. So concentration of 1ml of normal saline would be,

Concentration of 1 ml = 2/100 = 0.02 g/ml

It is delivered over a period of 1 hour. So, the amount delivered per minute will be,

Amount per minute = Volume/ time = 100/60 = 1.67 ml

Amount of medication in 1.67 ml = Volume × Amount per ml

                                                     = 1.67 × 0.02 = 0.334 g

So 0.334 g of medication will be received per minute. So the rate will be 1.67 ml per minute.

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solve for x round to the hundredth placement

Answers

Answer:

Set your calculator to degree mode.

[tex] \ \sin(25) = \frac{6}{x} [/tex]

[tex]x \sin(25) = 6[/tex]

[tex]x = \frac{6}{ \sin(25) } = 14.20[/tex]

If you’re are doing a gift exchange, and everyone has to spend at least 10 dollars but less than 20 dollars, what inequality represents the situation?


A. 10 > x > 20

B. 10 ≤ x < 20

C. 10 ≥ x ≥ 20

D. 10 < x < 20

Answers

The correct inequality to represent the situation where everyone has to spend at least 10 dollars but less than 20 dollars in a gift exchange is 10 ≤ x < 20. (option b).

The correct inequality to represent the situation is B. 10 ≤ x < 20. This inequality reads "x is greater than or equal to 10, but less than 20". In other words, the amount of money each person spends (represented by x) must be at least 10 dollars, but cannot exceed 20 dollars.

To understand why this is the correct inequality, let's break it down. The symbol ≤ means "less than or equal to", and the symbol < means "less than". So, 10 ≤ x means "x is greater than or equal to 10", and x < 20 means "x is less than 20". Combining these two expressions gives us the inequality 10 ≤ x < 20, which represents the range of values that x can take on in this gift exchange.

Hence the correct option is (b).

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brainliest+100 points

Answers

1a.

2x + 2y = 4xy is wrong

2x + 2y = 2(x+y) is correct

b.

3x+4= 7x wrong

c

4x²+5x = 9x² wrong

2

3x²+3x²+4x = 6x² + 4x = 2x(3x + 2)

3

sorry I don't understand this one.....

4

-4(3x-5) = -12x + 20

5

120 12 10 4 3 5 2

6

Answer:

120

12 10

4 2 5 2

2 2

Find the solution to the system of equations. Write the solution as an ordered pair. If there are no solutions, write 'no solutions'. If there are infinitely many, write 'infinitely many'.

y = −72
x + 11

7x + 2y = 20

Answers

The solution to the system of equations is (23, -72).

How to find system of equations ?

The first equation is y = -72, which means that whatever the value of x is, the value of y will always be -72.

Substituting y = -72 in the second equation, we get:

7x + 2(-72) = 20

Simplifying this equation, we get:

7x - 144 = 20

Adding 144 to both sides, we get:

7x = 164

Dividing both sides by 7, we get:

x = 23.428571...

So the solution to the system of equations is the ordered pair (x, y) = (23.428571..., -72).

However, we usually express solutions as ordered pairs of integers, so we can round x to the nearest integer to get:

(x, y) = (23, -72)

Therefore, the solution to the system of equations is (23, -72).

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Monique claims the surface area of the cylinder is about 1001.66 square feet explain Monique's error find the correct surface area.

Answers

Answer: Monique's error is likely due to rounding the surface area to two decimal places, which led to an inaccurate result.

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is approximately 3.14.

To find the correct surface area, we need to know the values of r and h. Without this information, we cannot calculate the exact surface area.

However, we can use Monique's estimate to estimate the values of r and h.

1001.66 = 2πr^2 + 2πrh

Dividing both sides by 2π, we get:

500.83 = r^2 + rh

We don't know the exact values of r and h, but we know that the surface area should be greater than 1001.66 square feet. Therefore, we can assume that the radius and height must be greater than a certain value.

For example, if we assume that the radius is at least 5 feet, we can solve for the minimum value of h:

500.83 = 5^2 + 5h

495.83 = 5h

h = 99.166

So if the radius is 5 feet and the height is 99.166 feet, the surface area would be:

S = 2π(5^2) + 2π(5)(99.166)

S = 1570.8 square feet

This is greater than Monique's estimate of 1001.66 square feet, indicating that her estimate was too low due to rounding.

Step-by-step explanation:

your friend is bringing half of a crate of popsicles to the picnic. of you put what is left in the crate evenly into 6 ice buckets, what fraction of the crate will go into each of ice bucket​

Answers

The fraction of crate that will fit in each ice bucket is therefore determined to be - 1/12.

Describe the fraction in detail:

A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, at which numerator and the denominator are divided.

In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator.Proper fractions are those whose numerator is less than their denominator. The fraction is deemed improper when the numerator above the denominator.

data provided

proportion of the friend's crate is equal to half.There are six ice buckets in total.

The number of ice buckets / proportion of crate in each bucket equals fraction of crate provided by friend.

crate fraction in each bucket equals (1/2) / 6

Each bucket's fraction of the crate is 1 / (2*6).

Each bucket's percentage of the crate is 1/12.

The amount of crate that will fit in each ice bucket is therefore determined to be - 1/12.

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Can someone help me asap? It’s due tomorrow. I will give brainliest if it’s correct.

Answers

The simulation that represents the context is given as follows:

2,5, 8 of diamonds: gold plastic ring.3, 6, 9 of diamonds: silver plastic ring.4, 7, 10 of diamonds: black plastic ring.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

In the context of this problem, we have an equal number of gold rings, silver rings and black rins, thus each outcome should have the same probability, which is represented by the last option.

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Peter needs to borrow $10,000 to repair his roof. He will take out a 317-loan on April 15th at 4% interest from the bank. He will make a payment of $3,500 on October 12th and a payment of $2,500 on January 11th.

a) What is the due date of the loan?

b) Calculate the interest due on October 12th and the balance of the loan after the October 12th payment.

c) Calculate the interest due on January 11th and the balance of the loan after the January 11th pa payment.

d) Calculate the final payment (interest + principal) Peter must pay on the due date.

Please only serious answers ​

Answers

Answer:

A. February 26th

B. $3,500 - Balance ≈ $6,697.26

C. $2,500 - Balance ≈ $4,263.46

D. $4,284.81

Step-by-step explanation:

a) What is the due date of the loan?

The loan term is given as 317 days, and the loan starts on April 15th. To find the due date, we will add 317 days to April 15th.

April 15th + 317 days = April 15th + (365 days - 48 days) = April 15th + 1 year - 48 days

Subtracting 48 days from April 15th, we get:

Due date = February 26th (of the following year)

b) Calculate the interest due on October 12th and the balance of the loan after the October 12th payment.

First, we need to calculate the number of days between April 15th and October 12th:

April (15 days) + May (31 days) + June (30 days) + July (31 days) + August (31 days) + September (30 days) + October (12 days) = 180 days

Now, we will calculate the interest for 180 days:

Interest = Principal × Interest Rate × (Days Passed / 365)

Interest = $10,000 × 0.04 × (180 / 365)

Interest ≈ $197.26

Peter will make a payment of $3,500 on October 12th. So, we need to find the balance of the loan after this payment:

Balance = Principal + Interest - Payment

Balance = $10,000 + $197.26 - $3,500

Balance ≈ $6,697.26

c) Calculate the interest due on January 11th and the balance of the loan after the January 11th payment.

First, we need to calculate the number of days between October 12th and January 11th:

October (19 days) + November (30 days) + December (31 days) + January (11 days) = 91 days

Now, we will calculate the interest for 91 days:

Interest = Principal × Interest Rate × (Days Passed / 365)

Interest = $6,697.26 × 0.04 × (91 / 365)

Interest ≈ $66.20

Peter will make a payment of $2,500 on January 11th. So, we need to find the balance of the loan after this payment:

Balance = Principal + Interest - Payment

Balance = $6,697.26 + $66.20 - $2,500

Balance ≈ $4,263.46

d) Calculate the final payment (interest + principal) Peter must pay on the due date.

First, we need to calculate the number of days between January 11th and February 26th:

January (20 days) + February (26 days) = 46 days

Now, we will calculate the interest for 46 days:

Interest = Principal × Interest Rate × (Days Passed / 365)

Interest = $4,263.46 × 0.04 × (46 / 365)

Interest ≈ $21.35

Finally, we will calculate the final payment Peter must pay on the due date:

Final payment = Principal + Interest

Final payment = $4,263.46 + $21.35

Final payment ≈ $4,284.81

A rectangular prism is completely packed with 200 cubes of edge length fraction 1/5 inch, without any gap or overlap. Which of these best describes the volume of this rectangular prism? (5 points)


1 unit cube and 15 smaller cubes of volume fraction 1/125 cubic inch each

1 unit cube and 75 smaller cubes of volume fraction 1/125 cubic inch each

7 unit cubes and 25 smaller cubes of volume fraction 1/125 cubic inch each

7 unit cubes and 125 smaller cubes of volume fraction 1/125 cubic inch each

Answers

The volume of the rectangular prism is 1.6 cubic inches.

Let's start by finding the number of cubes that can fit in each dimension of the rectangular prism. Since each cube has an edge length of 1/5 inch, the length, width, and height of the rectangular prism must be multiples of 1/5 inch. Let's call the length of the rectangular prism "L", the width "W", and the height "H". Then we have

L = 1/5 × x

W = 1/5 × y

H = 1/5 × z

where x, y, and z are integers.

Since the rectangular prism is completely packed with 200 cubes, we have

x × y × z = 200

We want to find the volume of the rectangular prism, which is given by

V = L × W × H = 1/5 × x × 1/5 × y × 1/5 × z = 1/125 × x × y × z

Substituting x × y × z = 200, we get

V = 1/125 × 200 = 8/5 = 1.6 cubic inches

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The given question is incomplete, the complete question is:

A rectangular prism is completely packed with 200 cubes of edge length fraction 1/5 inch, without any gap or overlap. find the  volume of this rectangular prism

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