| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.82 |
| Score | 0% | 76% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Charlie buys two shirts, each with a regular price of $47, how much money will he save?
| $7.05 | |
| $16.45 | |
| $21.15 | |
| $9.40 |
By buying two shirts, Charlie will save $47 x \( \frac{15}{100} \) = \( \frac{$47 x 15}{100} \) = \( \frac{$705}{100} \) = $7.05 on the second shirt.
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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integer |
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improper fraction |
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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.
How many hours does it take a car to travel 405 miles at an average speed of 45 miles per hour?
| 9 hours | |
| 3 hours | |
| 5 hours | |
| 8 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{405mi}{45mph} \)
9 hours
Simplify \( \frac{32}{60} \).
| \( \frac{8}{17} \) | |
| \( \frac{8}{15} \) | |
| \( \frac{1}{3} \) | |
| \( \frac{4}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{32}{60} \) = \( \frac{\frac{32}{4}}{\frac{60}{4}} \) = \( \frac{8}{15} \)
Bob loaned Christine $1,100 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,199 | |
| $1,122 | |
| $1,133 | |
| $1,177 |
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 $1,100
i = 0.03 x $1,100
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,100 + $33