| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Damon buys two shirts, each with a regular price of $48, how much money will he save?
| $2.40 | |
| $24.00 | |
| $12.00 | |
| $16.80 |
By buying two shirts, Damon will save $48 x \( \frac{25}{100} \) = \( \frac{$48 x 25}{100} \) = \( \frac{$1200}{100} \) = $12.00 on the second shirt.
Which of the following statements about exponents is false?
b1 = b |
|
b0 = 1 |
|
b1 = 1 |
|
all of these are false |
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 tiger in a zoo has consumed 91 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 130 pounds?
| 10 | |
| 7 | |
| 3 | |
| 1 |
If the tiger has consumed 91 pounds of food in 7 days that's \( \frac{91}{7} \) = 13 pounds of food per day. The tiger needs to consume 130 - 91 = 39 more pounds of food to reach 130 pounds total. At 13 pounds of food per day that's \( \frac{39}{13} \) = 3 more days.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?
| 1:2 | |
| 49:2 | |
| 7:6 | |
| 5:4 |
The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.
If \( \left|z + 5\right| \) + 8 = -8, which of these is a possible value for z?
| -17 | |
| -6 | |
| -21 | |
| -5 |
First, solve for \( \left|z + 5\right| \):
\( \left|z + 5\right| \) + 8 = -8
\( \left|z + 5\right| \) = -8 - 8
\( \left|z + 5\right| \) = -16
The value inside the absolute value brackets can be either positive or negative so (z + 5) must equal - 16 or --16 for \( \left|z + 5\right| \) to equal -16:
| z + 5 = -16 z = -16 - 5 z = -21 | z + 5 = 16 z = 16 - 5 z = 11 |
So, z = 11 or z = -21.