| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
If a car travels 400 miles in 8 hours, what is the average speed?
| 45 mph | |
| 50 mph | |
| 20 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Which of the following statements about exponents is false?
b1 = b |
|
all of these are false |
|
b0 = 1 |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Ezra buys two shirts, each with a regular price of $30, how much money will he save?
| $15.00 | |
| $3.00 | |
| $1.50 | |
| $4.50 |
By buying two shirts, Ezra will save $30 x \( \frac{5}{100} \) = \( \frac{$30 x 5}{100} \) = \( \frac{$150}{100} \) = $1.50 on the second shirt.
A tiger in a zoo has consumed 35 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 65 pounds?
| 3 | |
| 9 | |
| 11 | |
| 6 |
If the tiger has consumed 35 pounds of food in 7 days that's \( \frac{35}{7} \) = 5 pounds of food per day. The tiger needs to consume 65 - 35 = 30 more pounds of food to reach 65 pounds total. At 5 pounds of food per day that's \( \frac{30}{5} \) = 6 more days.
What is 8y4 x 4y5?
| 32y20 | |
| 32y5 | |
| 32y9 | |
| 32y |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
8y4 x 4y5
(8 x 4)y(4 + 5)
32y9