| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
A factor is a positive __________ that divides evenly into a given number.
fraction |
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mixed number |
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integer |
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improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Alex loaned Latoya $700 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $721 | |
| $756 | |
| $749 | |
| $742 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $700
i = 0.06 x $700
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $700 + $42A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Charlie buys two shirts, each with a regular price of $49, how much will he pay for both shirts?
| $71.05 | |
| $66.15 | |
| $2.45 | |
| $95.55 |
By buying two shirts, Charlie will save $49 x \( \frac{5}{100} \) = \( \frac{$49 x 5}{100} \) = \( \frac{$245}{100} \) = $2.45 on the second shirt.
So, his total cost will be
$49.00 + ($49.00 - $2.45)
$49.00 + $46.55
$95.55
If a mayor is elected with 62% of the votes cast and 81% of a town's 42,000 voters cast a vote, how many votes did the mayor receive?
| 26,195 | |
| 29,938 | |
| 21,092 | |
| 24,154 |
If 81% of the town's 42,000 voters cast ballots the number of votes cast is:
(\( \frac{81}{100} \)) x 42,000 = \( \frac{3,402,000}{100} \) = 34,020
The mayor got 62% of the votes cast which is:
(\( \frac{62}{100} \)) x 34,020 = \( \frac{2,109,240}{100} \) = 21,092 votes.
What is 6c5 - 3c5?
| 3c5 | |
| 9c-10 | |
| -3c5 | |
| -3c-5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
6c5 - 3c5
(6 - 3)c5
3c5