A teacher has asked all the students in the class which days of the week they read after 9 pm. which of the following is the best way to display the percent of number of students for each day of the week?

 we need determine the radius of the circle before we can find the circumference of the circle from the given area.

Let r be the radius of the circle, then

Substituting the value of area

Dividing both sides by pi and taking square root on both sides yields

Now, the radius of the circle is 8 in. and the circumference of the circle is given by the relation:

The perimeter of a shape is the sum of the lengths of all its sides.

Given Trapezoid:

• Top side: 10 cm
• Bottom side: 16 cm
• Left slant side: 5 cm
• Right slant side: 5 cm

Calculate the Perimeter:

10+16+5+5=36cm

we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.

If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.

Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent

We solve the value of x by cross-multiplying the equation above.

Therefore, 336 students will enroll for a nursing program.

The range is a simple measure of statistical dispersion that shows the spread between the highest and lowest values in a data set.

Formula for Range:

Range=MaximumValue−MinimumValue

Example Calculation:

From the given box plot:
Identify the maximum value: 92

1. Identify the minimum value: 12
2. Subtract the minimum from the maximum: 92−12=80

Thus, the range of this data set is 80.

We are asked to determine John’s uncle’s age relating to John’s age.

First, express John’s uncle’s age in terms of John’s age as follows

John’s age=k

John’s uncle’s age, u = 5k-12.

Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.

The initial step is to convert the decimal options to fractions. Then, we find the LCM of the denominators of all fractions, which will be used to compare the values of the given options.

-0. becomes -9/10

-1.7 becomes -17/10

Then, the resulting denominators are 9, 10, and 63. Their LCM of 630 is used to multiply each fraction.

-2/9*630=-140

-9/10*630=-567

-17/10*630=-1071

-4/7*630=-360

From the calculations above, -140 is the greatest value of all the values. Thus, -2/9 is the greatest number.

To estimate the total amount, round each price to the nearest dollar:

1. Hat: $19.49 → $19 (since 0.49 rounds down)
2. Shirt: $21.49 → $21 (since 0.49 rounds down)
3. Shoes: $59.99 → $60 (since 0.99 rounds up)

Now, add the rounded values:

19+21+60=10019 + 21 + 60 = 10019+21+60=100

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.

we convert the given value in yards to the cm by setting up the equation below.

2 yards is equal to 182.88 cm, which is approximately 180 cm.

To determine the correct coordinates of the point shown on the graph, follow these steps:

1. Identify the x-coordinate: Count the number of units the point is to the right or left of the y-axis. The point is at 5 on the x-axis.
2. Identify the y-coordinate: Count the number of units the point is above or below the x-axis. The point is at -8 on the y-axis.
3. The correct coordinates are (5, -8).

Looking at the answer choices:

• A. (5, -8) → Correct
• B. (-5, 8) → Incorrect
• C. (-8, 5) → Incorrect
• D. (8, -5) → Incorrect

Final Answer:

A. (5, -8)