A circle has an area of 64π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
A. 9 π in
B. 16 π in
C. 4 π in
D. 8 π in
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:
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: A child has a bottle full of pennies, nickels, dimes, and quarters. There are six as many quarters as pennies, two times as many as nickels as pennies, and 5 times as many dimes as nickels. How many more dimes does the child have than nickels?
A. 4 times as many
B. 5 times as many
C. 20 times as many
D. 10 times as many
Answer Explanation
In this problem, we need to compare the number of dimes to quarters.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 6p
Number of nickels in the bottle = 2p
Number of dimes in the bottle =5(2p)=10p
Now relating dimes to nickels, we have
Thus, there are 5 times as many dimes as quarters in the box.
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Q #2: Which of the following is the median of the date set below? 9, -7, 1, -4, 3
A. -7
B. 1
C. 3
D. -4
Answer Explanation
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.
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Q #3: Which of the following is the independent variable in the equation below? F(z)=9z+28
A. F
B. 9
C. 28
D. z
Answer Explanation
Given the equation F(z)=9z+28
To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.
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Q #4: Which of the following is the best estimate of the number of centimeters (cm) in 2 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 175 cm
B. 180 cm
C. 136 cm
D. 90 cm
Answer 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.
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Q #5: Soft Drinks Orange Two 24-packs for $15; one 24-pack for $9 Root Beer One 24-pack for $14 Cream Soda One 12-pack for $3 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 2 two-24 packs of Orange and 1 pack of Cream Soda
B. 3 one 24-pack of Orange
C. 2 packs of Root Beer and 1 pack of Cream Soda
D. 5 packs of cream Soda
Answer Explanation
To find the cheapest option, we find the expenditure on each given option.:
2 two-24 packs of Orange and 1 pack of Cream Soda=2($15)+$3=$33
3 one 24-pack of Orange=3($9)=$27
2 packs of Root Beer and 1 pack of Cream Soda=2($14)+$3=$31
5 packs of cream Soda=5($3)=$15
Spending 5 packs of cream soda is the cost-effective option.
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Q #6: A person weighed themselves at 160 lb. Three months later they weighed themselves at 130 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)
A. 20%
B. 13%
C. 19%
D. 29%
Answer Explanation
the percentage change in weight is found by calculating change in weight over original multiplied by 100%.
First, find the change in weight over the 3 months
Change in weight lost= 1860-130=30 lb
Thus
The percent change in weight is 19% to the nearest whole number.
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Q #7: A baker is using a cookie recipe that calls for 3 ¼ cups of flour to yield 64 cookies. How much flour will the baker need to make 130 cookies using the same recipe?
A. 6 77/128 cups
B. 5 5/128 cups
C. 10 1/28 cups
D. 4 81/128 cups
Answer Explanation
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.
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Q #8: A circle has an area of 64π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
A. 9 π in
B. 16 π in
C. 4 π in
D. 8 π in
Answer Explanation
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:
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Q #9: Which of the following is the appropriate unit of measure to express the weight of a knife?
A. Liter
B. Milliliter
C. Gram
D. Kilogram
Answer Explanation
The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.
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Q #10: To determine the cost of a meal, the restaurant considers the quantity of the meal, the number of toppings, and the types of spices. Which of the following is the dependent variable?
A. Size of meal
B. Cost of meals
C. Type of spices
D. Number of toppings
Answer Explanation
A dependent variable changes with any change made in an independent variable. From this case, cost of meals depends on other three options. In other words, the quantity of meal, number of toppings, and types of spices influence the cost of the meal.
