| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Monty buys two shirts, each with a regular price of $14, how much will he pay for both shirts?
| $27.30 | |
| $0.70 | |
| $14.70 | |
| $13.30 |
By buying two shirts, Monty will save $14 x \( \frac{5}{100} \) = \( \frac{$14 x 5}{100} \) = \( \frac{$70}{100} \) = $0.70 on the second shirt.
So, his total cost will be
$14.00 + ($14.00 - $0.70)
$14.00 + $13.30
$27.30
Solve for \( \frac{5!}{2!} \)
| 42 | |
| 60 | |
| 56 | |
| 4 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{2!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{5 \times 4 \times 3}{1} \)
\( 5 \times 4 \times 3 \)
60
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Frank buys two shirts, each with a regular price of $16, how much money will he save?
| $4.00 | |
| $6.40 | |
| $2.40 | |
| $0.80 |
By buying two shirts, Frank will save $16 x \( \frac{40}{100} \) = \( \frac{$16 x 40}{100} \) = \( \frac{$640}{100} \) = $6.40 on the second shirt.
Convert 0.0009723 to scientific notation.
| 0.972 x 10-3 | |
| 9.723 x 104 | |
| 9.723 x 10-4 | |
| 9.723 x 105 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0009723 in scientific notation is 9.723 x 10-4
If a car travels 195 miles in 3 hours, what is the average speed?
| 70 mph | |
| 75 mph | |
| 65 mph | |
| 50 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)