Simplify each expression 6x + 2x

Answer:

C) C/13

Step-by-step explanation:

The circumference of a circle is given by the formula

C = pi * d  where c = circumference and d is the diameter

The diameter is 13

C = pi *13

Divide each side by 13

C/13 = d

The diameter is C/13

Circumference of the circle is the length of the boundary of the circle. The expression best represents the value of pi is C/13.

Given-

The circumference of the given circle is C centimetres.

Diameter of the given circle is 13 centimetres.

Circumference of the circle

Circumference of the circle is the length of the boundary of the circle.

We know that the circumference of the circle is given by,

Here r is the radius of the circle. Radius is the twice the diameter of the circle of the circle. That is,

put the value in the parameter of the circle we get.

The value of circumference is C cm and diameter is 13 cm. Put these values to solve it further,

Rewrite the equation for the pi, we get,

Hence, the expression best represents the value of pi is C/13.

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The coordinates of the image of point (2 , -4) after reflection across

the x-axis is (2 , 4)

Step-by-step explanation:

Let us revise the reflection of a point

1. If point (x , y) reflected across the x-axis, then its image is (x , -y)

2. If point (x , y) reflected across the y-axis, then its image is (-x , y)

3. If point (x , y) reflected across the line y = x, then its image is (y , x)

4. If point (x , y) reflected across the line y = -x, then its image is (-y , -x)

∵ Point (2, -4) is reflected across the x-axis

∵ Point (x , y) reflected across the x-axis, then its image is (x , -y)

- Chang the sign of the y-coordinate of the point to find its image

∵ The y-coordinate of the point is -4

∴ The y-coordinate of the image is 4

∴ The image of the point (2 , -4) is (2 , 4) after reflection across the

   x-axis

The coordinates of the image of point (2 , -4) after reflection across

the x-axis is (2 , 4)

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Final answer:

Beatrice has $144.50 in savings and Anne has $173.40 in savings.

Explanation:

To solve this problem, let's assume Beatrice has x dollars in savings. Since Anne has $28.90 more savings than Beatrice, Anne's savings can be represented as (x + 28.90) dollars.

We are also given that 3/5 of Beatrice's savings is the same as 1/2 of Anne's savings. We can write this as:

(3/5)x = (1/2)(x + 28.90)

To solve the equation, we can cross multiply and simplify:

2(3/5)x = x + 28.90

6/5x = x + 28.90

6x = 5x + (5 * 28.90)

6x - 5x = 144.50

x = 144.50

Therefore, Beatrice has $144.50 in savings and Anne has (144.50 + 28.90) = $173.40 in savings.

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Answer:

You can find the rate of change by dividing the difference in the principal owed by the difference in the number of months.

18,900 – 22,275 / 12 – 3 = -375

The average payment is $375 per month.

Answer:

107

Step-by-step explanation:

multiply 19 times 6 minus 7 because Felipe ate 7

Final answer:

The marching band has 107 pizza slices left after Felipe ate 7 slices from a total of 114 slices obtained from 19 pizzas.

Explanation:

This math problem requires to determine the number of pizza slices left after Felipe ate some. To start, we multiply the total number of pizzas (19) by the number of slices each pizza has (6). This gives us a total of 114 slices. Felipe ate 7 slices. Subtracting these from the total, we get 107 slices left for the rest of the band.

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