| 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 50% off." If Damon buys two shirts, each with a regular price of $38, how much money will he save?
| $19.00 | |
| $7.60 | |
| $13.30 | |
| $9.50 |
By buying two shirts, Damon will save $38 x \( \frac{50}{100} \) = \( \frac{$38 x 50}{100} \) = \( \frac{$1900}{100} \) = $19.00 on the second shirt.
If a car travels 20 miles in 1 hour, what is the average speed?
| 30 mph | |
| 20 mph | |
| 35 mph | |
| 40 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Charlie buys two shirts, each with a regular price of $20, how much will he pay for both shirts?
| $35.00 | |
| $22.00 | |
| $21.00 | |
| $15.00 |
By buying two shirts, Charlie will save $20 x \( \frac{25}{100} \) = \( \frac{$20 x 25}{100} \) = \( \frac{$500}{100} \) = $5.00 on the second shirt.
So, his total cost will be
$20.00 + ($20.00 - $5.00)
$20.00 + $15.00
$35.00
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for multiplication |
|
commutative property for multiplication |
|
distributive property for division |
|
commutative property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
Charlie loaned Charlie $600 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $49 | |
| $42 | |
| $6 | |
| $16 |
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 $600
i = 0.01 x $600
i = $6