| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
How many 7-passenger vans will it take to drive all 94 members of the football team to an away game?
| 7 vans | |
| 14 vans | |
| 4 vans | |
| 3 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{94}{7} \) = 13\(\frac{3}{7}\)
So, it will take 13 full vans and one partially full van to transport the entire team making a total of 14 vans.
What is \( \frac{14\sqrt{35}}{2\sqrt{5}} \)?
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{7} \) | |
| 7 \( \sqrt{\frac{1}{7}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{35}}{2\sqrt{5}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{35}{5}} \)
7 \( \sqrt{7} \)
If \( \left|y - 4\right| \) + 5 = -3, which of these is a possible value for y?
| -14 | |
| -1 | |
| 7 | |
| 12 |
First, solve for \( \left|y - 4\right| \):
\( \left|y - 4\right| \) + 5 = -3
\( \left|y - 4\right| \) = -3 - 5
\( \left|y - 4\right| \) = -8
The value inside the absolute value brackets can be either positive or negative so (y - 4) must equal - 8 or --8 for \( \left|y - 4\right| \) to equal -8:
| y - 4 = -8 y = -8 + 4 y = -4 | y - 4 = 8 y = 8 + 4 y = 12 |
So, y = 12 or y = -4.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Damon buys two shirts, each with a regular price of $16, how much will he pay for both shirts?
| $12.80 | |
| $28.80 | |
| $20.80 | |
| $20.00 |
By buying two shirts, Damon will save $16 x \( \frac{20}{100} \) = \( \frac{$16 x 20}{100} \) = \( \frac{$320}{100} \) = $3.20 on the second shirt.
So, his total cost will be
$16.00 + ($16.00 - $3.20)
$16.00 + $12.80
$28.80
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 9:2 | |
| 5:8 | |
| 1:8 | |
| 5:2 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. 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 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.