Solve the equation showing ALL steps, and check for extraneous solutions.

2|2 - 4x| = 2x + 6

28 quarts are equivalent to 7 gallons

The table represents a proportional relationship or proportional linear function

A proportional linear function is represented as

y = kx

Where

k represents the proportionality constant

y represents the number of quarts

x represents the number of gallons

When x = 14 and y = 56, we have:

56 = 14k

Divide by 14

k = 4

Substitute k = 4 in y = kx

y = 4x

When x = 7, we have

y = 4 * 7

Evaluate

y = 28

Hence, 28 quarts are equivalent to 7 gallons

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Answer: B': (-3, 4)

C': (-3, 0)

D': (-2, 0)

E': (-2, 4)

Step-by-step explanation:

270 degrees counterclockwise=

(360-270) degrees clockwise=90 degrees clockwise

In a 90 degree clockwise rotation about the origin for this rectangle, the x and y coordinates of the rectangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening over the x-axis, where the y-values will be changing signs while the x-values will still have the same signs.

B: (-4, -3) ==> (-3, -4) ==> B': (-3, 4)

C: (0, -3) ==> C': (-3, 0)

D: (0, -2) ==> D': (-2, 0)

E: (-4, -2) ==> (-2, -4) ==> E': (-2, 4)

The inequality represents the number of rides that Connor can afford is 1.50x+5≤22 and he can ride 11 rides

The amount Connor had when he went to the fair = $22

The cost of a hotdog and coke = $5

The cost of each ride = $1.50

Consider then number of rides he ride as x

Then, the equation of the inequality is

1.50x+5≤ 22

Solve the inequality

1.50x+5≤ 22

1.50x ≤ 17

x ≤ 11.33

He can afford 11 rides with the money he has

Hence, the inequality represents the number of rides that Connor can afford is 1.50x+5≤22 and he can ride 11 rides

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Answer:

a: 8960

b: I suck at proportions even though im in hs. srry i cant answer that.

c: 177.1875, if you have to round than 177.

d: im so srry lol

Step-by-step explanation:

Answer:

14+15=29 or 14x15=210

Step-by-step explanation:

.

Answer:

17

Step-by-step explanation:

Answer:

The common difference equals: 6

The sum of the sequence equals: 176

The explicit formula of this sequence is:  a_n=1+(n-1)*6

The recursive formula of this sequence is: a_n=a_((n-1))+6

1,7,13,19,25,31,37,43,49,55,61...

Step-by-step explanation:

nice :0

Answer:

A. A reflection over the line x = 6

Step-by-step explanation:

You can see in the picture if you follow the line every edge has the same

Number x=6

Answer:

10.6

Step-by-step explanation:

Answer:

10.6

Step-by-step explanation:

90.97 divided by 8.6 = 10.57790697

rounded to the nearest tenth = 10.6

The solution of the rational inequality are-

A rational inequality is one that includes a rational expression.

1. (3x - 1)/(x + 4) ≤ 2

Solving the equation.

3x - 1 ≤ 2(x + 4)

3x - 1 ≤ 2x + 8

Placing the constants and the variable on different side.

3x - 2x ≤ 8 + 1

x ≤ 9

Thus, the value of 'x' is less than equal to 9.

2.  2x/(x + 1) > 1

Simplifying;

2x > x + 1

Placing the constants and the variable on different side.

2x - x > 1

x > 1

In this, the value of the x is less than 1.

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Answer:

C

Step-by-step explanation:

We can go through the process of elimination to solve the question.

A is incorrect because they are only running for a minute and the variation between time and heart rate cannot be measured.

B is incorrect because there are too many variables to account for and they are both running for the same amount of time.

D is incorrect because there are too many variables to account for and it is not a fair test as he is running at many different speeds (you can only change the independent variable which is the time).

Hence, C is the answer. It is a fair test as he is running at different speeds and keeping everything else the same.

Answer:

1,300,266,000

Step-by-step explanation:

Billion - 1

Hundred Million - 3

Ten Million - 0

Million - 0

Hundred Thousand - 2

Ten thousand - 6

Thousand - 6

Hundred - 0

Tens - 0

Unit - 0

Answer:

1576

Step-by-step explanation:

The arithmetic sequence goes up by 16 each term. So if you are trying to find the 98th term, multiply 16 by 98. This results in the number 1568. Now because the arithmetic sequence starts at 8, simply add 8 to the number, and the answer is 1576

The area of the rectangle = 338 square units

The co-ordinate plane has two axes X and Y.

The points in the co-ordinate plane is given as U(4, -6) to V(-8, -11).

i.e., (x₁, y₁) = (4, -6) and (x₂, y₂) = (-8, -11)

The distance between these points are considered as a side of a rectangle.

Distance between U(4, -6) and V(-8, -11) =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                                               = [tex]\sqrt{(-8-4)^2+(-11--6)^2}[/tex]

                                                               = [tex]\sqrt{(-12)^2+(-5)^2}[/tex]

                                                               = √169

                                                               = 13 units

So the length of one side of rectangle, l = 13 units

Let 'w' be the width of the rectangle.

Also perimeter of the rectangle = 78 units

⇒  2(l +w) = 78

⇒ l +w = 39

⇒ w = 39 -l

⇒ w = 39 - 13

⇒ w = 26 units

Area of the rectangle = length x width

                                    = l x w

                                    = 13 x 26

                                    = 338 square units

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Answer:

Step-by-step explanation:

First you need to know how much is the sales tax

Then add the sales tax to the value of the vaccum cleaner

Answer

Answer: a) 5

Step-by-step explanation:

Answer:

A:5

Step-by-step explanation:

I say 5 times because you said '1 green cube and 2 whites' it is very possible you can get green 5 times but 10, 15, and 20 times seems a bit lucky is maybe the word i'm looking for but overall i say 5 because 5 is possible. Virtual smile ; )

I really hope i helped

Step-by-step explanation:

By writing an exponential equation, we can conclude that the initial deposit is of $606.22

Here we know that we have an annual rate of 6%, so if you deposit an initial amount of A, the amount of money that the account has after t years is:

M(t) = A*(1 + 6%/100%)^t = A*(1.06)^t

Now, you know that after 8 years you earn (in interest) $360, then we can write:

M(8) - A = 360

A*(1.06)^8 - A = 360

Now we can solve that equation for A.

A*( (1.06)^8 - 1) = 360

A =  360/( (1.06)^8 - 1) = 606.22

The initial deposit is of $606.22

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Can you do a Step-by-step explanation:

The given statement about when next they visit the restaurant that the meals will be free is an example of; inductive reasoning.

Inductive reasoning is a type of reasoning that involves forming general theories from specific observations. Observing something happen repeatedly and concluding that it will happen again in the same way is an example of inductive reasoning.

Deductive reasoning is a type of reasoning that involves forming specific conclusions from general premises. An example is; Everyone in this class is an English major; Jesse is in this class; therefore, Jesse is an English major.

Now, from the given question, it was observed that Every Tuesday that Yolanda's family has visited a specific local restaurant, the Nids meals have been free. Now, using that to conclude that when next he visits the restaurant that the meals will be free is an example of inductive reasoning.

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Answer: 1/6

Step-by-step explanation:I hope i have helped u have a wonderful day or night!

The distance between the two points is approximately 19.18 units

The length of the line segment connecting any two points is referred to as their distance. In coordinate geometry, the distance formula is usedto calculate the distance between two points.

In 1731, the distance formula itself was first made public. Pythagorean distance is another name for Euclidean distance. The Pythagoras is used to derive the distance formula.

If two point are given as A [tex](x_1,y_1)[/tex] and B [tex](x_2,y_2)[/tex] then the distance between the two points or the length of AB is calculated using the formula:

[tex]AB = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

The co ordinates of the two points are given as [tex](5\sqrt{3},7\sqrt5 )[/tex] and [tex](-\sqrt{3},-\sqrt{5} )[/tex].

Therefore distance between the points will be given by:

[tex]=\sqrt{(5\sqrt{3} - \sqrt{3} )^2 + (7\sqrt{5} -(-\sqrt{5} )^2}\\=\sqrt{(4\sqrt{3})^2+(8\sqrt{5})^2 }\\=\sqrt{48+320}\\=\sqrt{368}\\\approx19.18[/tex]

The distance between the two points is approximately 19.18 units.

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The total mile Kaili ran during her training was 54.151 miles

From the question, we are to calculate the total miles Kaili ran during her training

From the given information,

" For the first five days of her training plan, she will need to walk 5.431 miles each day"

That is,

She ran 5 × 5.431 miles

5 × 5.431 miles = 27.155 miles

Also, from the information,

"For the next four days she will to increase her mileage and walk 6.749 per day"

That is,

She ran 4 × 6.749 miles

4 × 6.749 miles = 26.996 miles

Thus,

The total mile Kaili ran = 27.155 miles + 26.996 miles

The total mile Kaili ran = 54.151 miles

Hence, the total mile Kaili ran during her training was 54.151 miles

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The percentage of customers will spend less than $3.00 on concessions is which is option (d).

It is given that mean is $4.11 , standard deviation is $1.37 and value is $3.00

Putting above values in equation (1) , we get

[tex]z=\frac{3-4.11}{1.37} \\\\z=-0.810[/tex]

P(x<3) = 0.20891

Percentage will be 209. %

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We get the perimeter 8 √ 5 units as and the area as 10 units² .

We are given that a square has side lengths that measure 2√5 units.

We know that, the perimeter of square is:

P = 4 × side units

P = 4 × 2 √ 5 units

P = 8 √ 5 units

We also know that the area of square is:

A = side²

A = ( 2 √ 5 units ) ²

A = 2 × 5 units²

A = 10 units²

Therefore, we get the perimeter 8 √ 5 units as and the area as 10 units² .

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Your question was incomplete. Please find the content below.

A square has side lengths that measure 2√5 units. Find perimeter and area.

The company must sell 400 radios to break even, i.e, when the revenue function and cost function is same.

The sum of the units sold times the price per unit is the revenue. Multiply the output level by the pricing function to get the revenue function.

The cost function is the total cost of production of the item which includes the cost of raw materials, labor, transport and establishment costs.

The cost function and the revenue function is given as:

Cost function is C(x) =5000 + 7.5x

And the revenue function is R(x) = 20x

a)In the break even point cost will be equal to revenue

so, C(x)=R(x)

or,5000+7.5x=20x

or,12.5x=5000

or, x=5000÷12.5

or, x=400

The number of radios produced to break even is 400.

(b)When the company breaks even then x=400

∴R(200)=200×20=8000

So the amount of money is dollars that is coming in or going out is given by 8000.

(c)We know that the profit=Revenue - cost

So the required profit function is given by:

p(x)=R(x)-C(x)

or, p(x)=20x-5000-7.5x

or,p(x)=12.5x-5000

(d)The company sells 500 radios

Therefore profit will be given by

p(500)=12.5×500-5000

or,p(500)=6250-5000

or, p(500)=1250

So on selling 500 radios the company will earn $1875.

Disclaimer: The revenue and cost function of the equation are  

C(x) =5000 + 7.5x and  R(x) = 20x .

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The quotient of x³ - 64/x - 4 is (x² + 4x + 16).

The quotient of x⁴ − 256/x − 4 is (x³ + 4x² + 16x + 64).

The quotient of x⁵ - a⁵ /x - a is (x⁴ + ax³ + a²x² + a³x + a⁴).

What is Division method?

Division method is used to distributing a group of things into equal parts.

We have to given that;

The quotient of x² − 16/ x − 4 is x + 4.

Now, We have compute each quotient as;

The quotient of x³ - 64/x - 4 is;

[tex]\frac{x^{3} - 64}{x-4} = \frac{x^{3} - 4^{3} }{x-4} = \frac{(x-4) (x^{2} +4x+16)}{(x-4)} = (x^{2} +4x+16)[/tex]

Hence, The quotient of x³ - 64/x - 4 is (x² + 4x + 16).

And, The quotient of x⁴ − 256/x − 4 is;

[tex]\frac{x^4-4^4}{x-4} = \frac{((x^2)^2-(4^2)^2)}{(x-4)} = \frac{(x^{2} -4^4) (x^{2} + 4^2)}{(x-4)} = \frac{(x-4)(x+4)(x^{2} +4^2)}{(x-4)} = (x+4)(x^{2} + 16)[/tex]

[tex](x+4)(x^{2} + 16) = x^{3} + 4x^{2} +16x + 64[/tex]

Hence, The quotient of x⁴ − 256/x − 4 is (x³ + 4x² + 16x + 64).

The quotient of x⁵ - a⁵ /x - a is;

      _______

x - a )   x⁵ - a⁵   ( x⁴ + ax³ + a²x² + a³x + a⁴

         x⁵ - ax⁴

      -      +

    -------------------

            ax⁴ - a⁵

            ax⁴ - a²x³

         -        +

         -------------------

                 a²x³ - a⁵

                a²x³ - a³x²

              -         +

               -----------------

                        a³x² - a⁵

                        a³x² - a⁴ x

                      -        +

                   --------------------------

                           a⁴ x  - a⁵

                           a⁴ x  - a⁵

                          -        +  

                     -----------------------

                                 0

Hence, The quotient of x⁵ - a⁵ /x - a is (x⁴ + ax³ + a²x² + a³x + a⁴).

Therefore, The quotient of x³ - 64/x - 4 is (x² + 4x + 16).

The quotient of x⁴ − 256/x − 4 is (x³ + 4x² + 16x + 64).

The quotient of x⁵ - a⁵ /x - a is (x⁴ + ax³ + a²x² + a³x + a⁴).

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Answer:

8 pools

Step-by-step explanation:

5 ÷ 3/5

5 x 5/3 = 35/3 = 8 1/3

Answer:x=60 y=61

Step-by-step explanation:

lmk if you want an explanation