There are 800 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the nursing program?

168
144
336
152
Correct Answer : C
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.
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Related Questions
Correct Answer is A
Explanation
To estimate the total amount, round each price to the nearest dollar:
- Hat: $19.49 → $19 (since 0.49 rounds down)
- Shirt: $21.49 → $21 (since 0.49 rounds down)
- Shoes: $59.99 → $60 (since 0.99 rounds up)
Now, add the rounded values:
19+21+60=10019 + 21 + 60 = 10019+21+60=100
Correct Answer is D
Explanation
The final price of the stock on Thursday can be found by finding the price on the previous day taking into account the price changes as follows.
The price of the stock on Monday was $33.65
On Tuesday the price of the stock went up by $1.23 from Monday’s price. Then, Tuesday’s price was $(33.65+1.23)=$34.88
The price of the stock on Wednesday decreased by $0.97 from Tuesday’s price. The price on Wednesday became $(34.88-0.97)=$33.91
Thursday’s price increased by $2.75 from Wednesday’s price, which was $(33.91+2.75)=$36.66
Therefore, the final price of the stock on Thursday was $36.66.
Correct Answer is B
Explanation
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.
Correct Answer is D
Explanation
The range of a data set is calculated as:
Range=MaximumValue−MinimumValue
From the given bar graph:
- The minimum number of goals scored is 0.
- The maximum number of goals scored is 5.
Thus, the range is:
5−0=5
Correct Answer is C
Explanation
 We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.

We find the value of x by cross-multiplication

The value of x is 110 lb.
Correct Answer is D
Explanation
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
- Identify the minimum value: 12
- Subtract the minimum from the maximum: 92−12=80
Thus, the range of this data set is 80.
Correct Answer is D
Explanation
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.
Correct Answer is A
Explanation
percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.

The decimal form of 58.7% is 0.587.
Correct Answer is C
Explanation
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.
Correct Answer is A
Explanation
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.
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