There are 900 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 respiratory care program?
A. 162
B. 171
C. 378
D. 189
we use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.
If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.
Find the value of x by cross-products
Divide both sides of the equation by 100%
Thus, 171 students out of 900 students will enroll for a respiratory care program.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: There are 900 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 Radiologic Technology program?
A. 162
B. 171
C. 378
D. 189
Answer Explanation
We use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.
If we let x represent the number of students enrolled in the Radiologic Technology program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.
\(\frac{x}{21\%}\ =\ \frac{900}{100\%} \)
Find the value of x by cross-products
\(x\ *\ 100\%\ =\ 900\ students * 21\%\)
Divide both sides of the equation by 100%
\(x= \frac{900\ students\ *\ 21\%}{100\%}\ =\ 189\ students\)
Thus, 189 students out of 900 students will enroll for a respiratory care program.
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Q #2: Which of the following is the mean of the test scores listed below? 90, 87, 74, 84, 93, 78
A. 87
B. 78
C. 90
D. 84
Answer Explanation
The mean of a data set is the total scores divided by the number of tests.
Total test scores =90+87+74+ 84+93+76=504
Number of tests =6 Mean test score =506/6=84
The mean test score is 84
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Q #3: Simplify the expression above. Which of the following is correct?
A. 33
B. 44
C. 25
D. 12
Answer Explanation
Let's simplify the expression step by step:
Step 1: Inside the square brackets, perform the operation within parentheses first:
([4(3+6?5)]=[4(3+30)] )
Step 2: Continue simplifying inside the square brackets:
([4(3+30)]=[4ast33])
Step 3: Calculate the value inside the square brackets:
([4ast33]=132)
Step 4: Now, deal with the denominator:
((20÷5)=4)
Step 5: Finally, divide the result from step 3 by the result from step 4:
(132/4=33)
So, the simplified expression is 33.
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Q #4: Soft Drinks: Orange Two 24-packs for $20, One 24-pack for $15 Root Beer: One 24-pack for $18 Cream Soda: One 12-pack for $10 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 5 packs of cream Soda
B. 3 packs of Orange
C. 2 packs of Root Beer and 1 pack of Cream Soda
D. 2 packs of Orange and 1 pack of Cream Soda
Answer Explanation
To find the cheapest option, we find the amount the consume will spend for each option given:
2 packs of Orange and 1 pack of Cream Soda will cost $20 + $10= $30 (Choice D)
3 Packs of Orange will cost $20+$15 = $35 (Choice B)
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($18) + $10 = $46 (Choice C)
5 packs of cream Soda will cost 5($10)=$50 (Choice A)
Hence Choice D - 2 packs of Orange and 1 pack of Cream Soda is the correct answer. -
Q #5: A recipe calls for 4 teaspoons of vanilla. 1 teaspoon equals approximately 4.98 mL. Which of the following is the correct amount of vanilla in mL?
A. 5.35 mL
B. 50.7 mL
C. 19.92 mL
D. 12.25 mL
Answer Explanation
We need to find the mL in 4 teaspoons from the given information.
If we let x represent the amount of vanilla in mL, and set a proportion equation with number of teaspoons as numerator and mL as denominator, then:
Find the value of x by cross-products
Therefore, 4 teaspoons equal 19.92 mL.
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Q #6: A macaroni and cheese recipe calls for 4/7 cup of flour for every 2 1/5 cup of milk. To make a bigger batch, the chef uses 4 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 15 1/5 cups
B. 15 2/5
C. 12 8/15 cups
D. 15 cups
Answer Explanation
To find the required number of cups of milk, we need to set up a proportion equation. If we let x be the required number of cups and cups of flour as numerator and cups of milk in denominator, then the result proportion becomes:
We cannot multiply mixed fractions with any number, so we change 2 1/5 into an improper fraction as
The proportion equation becomes
Cross-multiply to solve for x
As a mixed fraction, 77/5 becomes 15 2/5. Therefore, to make a bigger batch, the chef needs 15 2/5 cups of milk.
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Q #7: A circle has an area of 36\pi in2. Which of the following is the circumference of the circle in terms of pi ( \pi)?
A. 3 \pi in
B. 6 \pi in
C. 12 \pi in
D. 24 \pi in
Answer Explanation
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Q #8: The length of a rectangular room is 2 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A=x(x+2)
B. A=2x+2(x+2)
C. A=2x(x+2)
D. A=2x
Answer Explanation
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Q #9: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 6 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)
A. 15 feet
B. 12.6 feet
C. 18.3 feet
D. 9.2 feet
Answer Explanation
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Q #10: Which of the following is the value of x in the equation below. (|2x - 4| - 10 = 2)
A. x=4 or x=-8
B. x=-4 or x=8
C. x=-2 or x=1
D. x=-3 or x=5
Answer Explanation
Explanation:
We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.
Add 10 to both sides of the equation
Next, we apply the absolute rule:
If
, a>0, then u=a or u=-aIn this case a=12, which is greater 0. Then, the first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -4 or 8.
