Solve the following inequality X-5 > 25
1. -20

Answer:

25 miles per gallon

Step-by-step explanation:

Because if 2 gallons is 50 miles then one gallon has to be 25 miles per gallon

greatest to smallest :  [tex]= \sqrt[3]{88} ,\sqrt{19} ,\frac{28}{9}[/tex]

Fraction: A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator

Square root: In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = 16

Use this fraction calculator for adding, subtracting, multiplying, and dividing fractions. Answers are fractions in the lowest terms or mixed numbers in reduced form.

Input proper or improper fractions, select the math sign, and click Calculate. This is a fraction calculator with steps shown in the solution.

If you have negative fractions insert a minus sign before the numerator. So if one of your fractions is -6/7, insert -6 in the numerator and 7 in the denominator.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Solution :

[tex]\sqrt[3]{88} \\\sqrt[3]{2.2.2.11} \\2\sqrt[3]{11} \\\sqrt[3]{11} = 2.224\\2.2.224\\4.448 ...(1)\\\\\\\frac{28}{9} = 3.333 ...(2)\\\\ \sqrt{19} = 4.359 ...(3)\\\\Form 1 , 2 & 3 \\\\greatest number to smallest number = 4.448 , 4.359 ,3.333\\= \sqrt[3]{88} ,\sqrt{19} ,\frac{28}{9}[/tex]

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Answer:

For sure, A and C. However, I cannot fully read the last one.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Based on the dimensions of the semicircle and the rectangle, the approximate area that Ysau paints is  514 ft²

First, find the area of the rectangle:

= 24 x 12

= 288 ft²

The area of the semi-circle is the area of a circle divided by two. The radius is half of the longer side of the rectangle:

= 24 / 2

= 12 ft

Area of the semicircle is:

= (22/7 x 12 x 12) / 2

= 226 ft²

The total approximate area is:

= 226 + 288

= 514 ft²

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Answer:

3x-5

Step-by-step explanation:

the probability that a random selected student walks to the school is 19.5%, the correct option is D.

We want to find the probability that a random selected student walks to the school.

To find it, we just need to take the quotient between the number of students that walk to the school and the total number of students.

The number of students that walk to the school is:

42 + 36 = 78

The total number of students is:

85 + 77 + 30 + 47 + 42 + 36 + 44 + 39 = 400

Then the probability is:

P = 78/400 = 0.195

To get this in percentage form, we just multiply by 100%.

0.195*100% = 19.5%

The correct option is D.

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It would take 7 years for  the initial investment of $200 to become $350

Which calculator is appropriate in this case?

The best calculator which addresses the case at hand is a financial calculator, since it is mandatory we make use of calculator to determine the number of years it takes for initial investment of $200 to grow to $350 with 8% interest compounded continuously, bearing in mind that we need to convert the interest rate to a discrete rate

Rd = (e^(Rc) - 1)

Rd=discrete annual rate=unknown

e=exponential value=2.7182818

Rc=continuous rate=8%

Rd=(2.1782818^(8%))-1

Rd=1.083287067-1

Rd=8.3287067%

I/Y=8.3287067=annual interest rate without the % sign

PMT=0(no annual additional investment)

PV=-200(initial investment)

FV=350(future value of investment)

CPT(press compute)

N=7

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You get 1750 points from the 35 correct moves (35 x 50) and you get -432 points from time taken (144 x -3) therefore you end the game with 1318 points.

1318 Points.

Values at one, two and three standard deviations are 77.9, 82.8 and 87.7 respectively. Values at -1, -2 and -3 standard deviations are 68.1, 63.2 and 58.3 respectively.

The average grade given = 73

So, the mean, μ = 73

The standard deviation, σ = 4.9

We need to find the 1,2 and 3 standard deviations and -1, -2 and -3 deviations from the mean.

We use the formula z = μ + nσ to find the values at nth deviations.

When n = 1

z = 73 + 1 x 4.9 = 77.9

When n = 2

z = 73 + 2 x 4.9 = 82.8

When n = 3

z = 73 + 3 x 4.9 = 87.7

When n = -1

z = 73 -1 x 4.9 = 68.1

When n = -2

z = 73 - 2 x 4.9 = 63.2

When n = -3

z = 73 - 3 x 4.9 = 58.3

Hence, these are the required values.

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Answer:

77 degrees

Step-by-step explanation:

180 - 103

The value of x on the line segment is 8

The given parameters are:

AB = 2x + 7

AC = 7x - 3

BC = 4x - 2

The above means that the point B is on the line segment AC

So, we have:

AC = AB  + BC

This gives

2x + 7 + 4x - 2 = 7x - 3

Evaluate the like terms

-x = -8

Divide both sides by -1

x = 8

Hence, the value of x on the line segment is 8

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The coordinates of the image of the vertices of the polygon are A''(x, y) = (1, - 2), B''(x, y) = (2, - 2), C''(x, y) = (0, - 1), D''(x, y) = (- 1, - 2) and E''(x, y) = (- 2, - 1).

Rigid transformations are transformations applied on geometric loci such that Euclidean distances in such constructions are conserved. Translations and dilations are common examples of rigid transformations.

If we know that A(x, y) = (- 6, 0), B(x, y) = (- 3, 0), C(x, y) = (0, - 3), D(x, y) = (- 3, - 6) and E(x, y) = (- 6, - 3), then the coordinates of the image are determined below:

Translation

A'(x, y) = (- 6, 0) + (9, - 6)

A'(x, y) = (3, - 6)

B'(x, y) = (- 3, 0) + (9, - 6)

B'(x, y) = (6, - 6)

C'(x, y) = (0, - 3) + (9, - 6)

C'(x, y) = (9, - 9)

D'(x, y) = (- 3, - 6) + (9, - 6)

D'(x, y) = (6, - 12)

Dilation

A''(x, y) = (1 / 3) · (3, - 6)

A''(x, y) = (1, - 2)

B''(x, y) = (1 / 3) · (6, - 6)

B''(x, y) = (2, - 2)

C''(x, y) = (1 / 3) · (0, - 3)

C''(x, y) = (0, - 1)

D''(x, y) = (1 / 3) · (- 3, - 6)

D''(x, y) = (- 1, - 2)

E''(x, y) = (1 / 3) · (- 6, - 3)

E''(x, y) = (- 2, - 1)

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Answer: 204

Step-by-step explanation:

(14+3)(2 x 6)=

(17)(2 x 6)=

(17)(12)=

17*12=

17*(10+2)=

17*10+17*2=

170+34=204

Answer:204

Step-by-step explanation:

Fraction of members in the club that prefer hot chocolate = [tex]\frac{7}{40}[/tex]

It's Given that :

A sports club has 80 participants.

Senior Members = 25

Junior Members = 18

Adult Members = 80 - (25 + 18) = 80 - 43 = 37

JUNIOR MEMBERS :

Prefers tea = 10

Prefers Coffee = 2

Prefers hot chocolate = 18 - (10 + 2) = 18 - 12 = 6

SENIOR MEMBERS :

Prefers tea = 4

Prefers coffee = 13

Prefers hot chocolate = 25 - (4 + 13) = 25 - 17 = 8

ADULT MEMBERS :

Prefers tea = 28 - (10 + 4) = 28 - 14 = 14

Prefers coffee = 37 - 14 = 23

Prefers hot chocolate = 0 (none)

Calculation of Fraction of members in the club that prefer hot chocolate = 8 + 6 = 14 members out of 80 members

= [tex]\frac{14}{80} = \frac{7}{40}[/tex]

Therefore 7 / 40 of members prefer hot chocolate.

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The additive inverse of the expression -3/w is 3/w.

A number is known as the additive inverse of another, if the sum of the two numbers comes out to be zero. For example- given a number 3, its additive inverse will be -3, as 3 + (-3) = 0. The additive inverse of 0 is 0 itself.

Here, we are given an expression -3/w, such that w ≠ 0

Let us assume that the additive inverse of -3/w is x

Then, the sum of -3/w and x must be equal to zero

⇒ -3/w + x = 0

adding 3/w to both sides

⇒ x = 3/w

Thus, the additive inverse of -3/w is 3/w.

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When Mai-Lin's target heart rate is 153, then her age is 16 years.

From the information, the The American Heart Association suggests a target heart rate of T=0.75(220-a),

where T = person's target heart rate

a = his or her age.

Therefore, when the heart rate is 153, the age will be:

T = 0.75(220 - a)

153 = 165 - 0.75a

0.75a = 165 - 153

0.75a = 12

Divide

a = 12/0.75

a = 16

The person's age is 16 years.

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Answer:

20

Step-by-step explanation:

Answer: a=2√5

Step-by-step explanation:

We have a right-angled isosceles triangle

Hence, a=2√5

The cargo plane flew approximately 1,760 km.

So, according to the information the equation formed will be:

Now, solve the equation for x:

Rounding off: 8

Therefore, the cargo plane flew approximately 1,760 km.

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Total graduated commission earned by Macro on sales of $10,500 with the rate of 6% on the first $6500 and 9% on sales over $6500 is equal to $750.

As given in the question,

Macro earns commission rate of 6% for the first $6500

And 9% on sales over $6500

Out of $10,500

For first $6500 Commission =(6500 × 6)/ 100

                                            = $390

For $ (10,500 - 6,500 = 4000) commission = (4000 × 9)/ 100

                                                                   = $360

Total graduated commission on sales of $10,500 = $( 390 + 360)

                                                                             = $750

Therefore, total graduated commission earned by Macro on sales of $10,500 with the rate of 6% on the first $6500 and 9% on sales over $6500 is equal to $750.

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Answer:

1/8

Step-by-step explanation:

The expression equal to 8 × 10 5 squared is 64 × 10^10

Scientific notation is a mathematical way of expressing numbers that are too large or small to be written in decimal form.

Given the expression;

(8 × 10^ 5)²

expand the bracket

(8)² × (10)^ 5× 2

Find the squares

64 × 10^10

This is expressed as;

64 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

Thus, the expression equal to 8 × 10 5 squared is 64 × 10^10

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Since the graph of g is translated vertically downward by 3 units, the graph of function h is equal to h(x) = 2x² - 10.

In Mathematics, there are different types of transformation and these include the following:

A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.

Since the graph of g is translated vertically downward by 3 units, the graph of function h would be represented by the following expression:

Note: g(x) = 2x² - 7

h(x) = g(x) - 3.

h(x) = 2x² - 7 - 3.

h(x) = 2x² - 10.

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The current time is 08 : 09 pm

The given parameters are

Time = 7 : 40 pm

Minutes added = 89 minutes

The current time is calculated as

Current time = Time + Minutes added

So, we have

Current time = 7 : 40 pm + 89 minutes

Evaluate the sum

Current time = 7 : 129 pm

Rewrite properly as

Current time = 08 : 09 pm

Hence, the current time is 08 : 09 pm

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Answer:

y-coordinate

Step-by-step explanation:

x-intercepts lie on the x-axis. On the x-axis, y=0 while the x value is changing.

Answer: Set the Y equal to zero and solve for x

Step-by-step explanation:

Ava and Wyatt will take 4 days to be on the same page of the book.

X-values must be chosen and entered into the equation in order to graph a function. You will obtain a y-value once those values have been entered into the equation. A single point's coordinates are made up of its x and y values.

From the given question we can get:

A = 10 ₊ 20t

W = 30 ₊ 15t

Graph the each function to get the number of days.

A function can only be graphed if X-values are selected and put into the equation. Once those values are introduced into the equation, a y-value will be produced. The values of x and y are the coordinates of a single point.

Hence we get the number of days as 4. and the graph is attached below.

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Answer:

46, 94

Step-by-step explanation:

hope this works for you :)