A circle has an area of 64π in2. Which of the following is the circumference of the circle in terms of pi ( π)?

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

Add 10 to both sides of the equation

Next, we apply the absolute rule:

If u=a, a>0, then u=a or u=-a

In this case a=5, which is greater 0.

The first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4/3 or 2.

The number of boxes is found by volume of the room divided by volume of one box.

Number of boxes

The room can hold 125 boxes.

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+8)

Area of the rectangle, A= Length*width=(w+8)*w

A=w(w+8)

Thus, the area of the rectangular room is w(w+8).

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.

Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.

9/26 is equivalent to 9÷26. The value becomes 0.3461538.

Thus, 0.35is the decimal equivalent of 9/26.

we are asked to find the number of cups of flour that will be used to make 130 cookies.

First, we convert 3 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 64, the above equation result to

Thus, the number of cups of flour needed to make 130 cookies is 845/128 cups, which is equal to 6 77/128 cups.

 To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,

Now, we find the value of x by cross-products as follows

Thus, the minimum length required to provide access is 60 feet.

 we use the calculator to determine the positive square root of 20, which is then multiplied by 20.

Using the calculator,

Multiplying the square root above with 5 becomes

The approximate value is 26.9.

The median of a data set is determined by arranging the numbers in ascending orders, and the median is the number the falls in the middle position.

-7, -4, 1, 3, 9

There are five numbers in the data set, and the median falls in the third position from either side. Thus, 1 fall in the third position.

the mean of a data set is the total scores divided by the number of tests.

Total test scores =80+68+74+87+96=405

Number of tests =5

Mean test score =405/5=81

The mean test score is 81.