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Explanation A proportion is a set of two equal fractions or ratios. In a proportion, the numerators and denominators of the fractions or ratios are equal to each other. This means that the given answer, which includes both "fractions" and "ratios," is correct.
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2.
If the diameter of a circle is 12m, what is the radius of that circle?
Explanation The diameter is half the radius.
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3.
What is the area of a circle with a circumference of ?
A.
B.
6
C.
D.
36
E.
Correct Answer A.
Explanation If the circumference is 12pi, then the diameter is 12. The radius is 6. Area is pi times the radius squared. THe radius squared is 36. The answer is 36pi.
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4.
Hank just finished his meal at a restaurant and received the $22 bill. He would like to leave a 20% tip to show his appreciation for the great service.Select all equations that would help Hank calculate his total bill including tip.
A.
B.
C.
D.
Correct Answer(s) A. B. C.
Explanation To calculate the total bill including tip, Hank needs to add the tip amount to the original bill amount. Since he wants to leave a 20% tip, he can use the equation: Tip amount = 0.2 * bill amount. Once he calculates the tip amount, he can add it to the original bill amount to get the total bill including tip.
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5.
Sally deposited $85 in her local bank which pays 4% interest. Select the equations that will help Sally calculate her bank balance after one year. Assume she doesn't make any new deposits during the year.
A.
B.
C.
D.
Correct Answer(s) A. B. C.
Explanation The equation that will help Sally calculate her bank balance after one year is B = P(1 + r), where B is the bank balance, P is the initial deposit, and r is the interest rate. In this case, B = 85(1 + 0.04).
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6.
Complete the proportion.8 markers cost $7. What is the cost of 13 markers?
A.
B.
C.
D.
E.
None of these choices.
Correct Answer A.
Explanation The cost of 13 markers can be found by setting up a proportion. We can write the ratio of the cost of 8 markers to the cost of 13 markers as 8/13. Since we know that 8 markers cost $7, we can set up the proportion as 8/13 = 7/x, where x is the unknown cost of 13 markers. To solve for x, we can cross-multiply and find that 8x = 91. Dividing both sides by 8, we find that x = 11.375. Therefore, the cost of 13 markers is $11.375.