| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 40,000 seats in a stadium are filled, how many home fans are in attendance?
| 32,250 | |
| 24,000 | |
| 30,000 | |
| 31,500 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
40,000 fans x \( \frac{3}{4} \) = \( \frac{120000}{4} \) = 30,000 fans.
Bob loaned April $1,000 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,010 | |
| $1,090 | |
| $1,080 | |
| $1,070 |
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 $1,000
i = 0.07 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $70A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Monty buys two shirts, each with a regular price of $41, how much will he pay for both shirts?
| $69.70 | |
| $28.70 | |
| $12.30 | |
| $49.20 |
By buying two shirts, Monty will save $41 x \( \frac{30}{100} \) = \( \frac{$41 x 30}{100} \) = \( \frac{$1230}{100} \) = $12.30 on the second shirt.
So, his total cost will be
$41.00 + ($41.00 - $12.30)
$41.00 + $28.70
$69.70
If \( \left|z - 8\right| \) + 3 = 4, which of these is a possible value for z?
| -21 | |
| 5 | |
| 7 | |
| -2 |
First, solve for \( \left|z - 8\right| \):
\( \left|z - 8\right| \) + 3 = 4
\( \left|z - 8\right| \) = 4 - 3
\( \left|z - 8\right| \) = 1
The value inside the absolute value brackets can be either positive or negative so (z - 8) must equal + 1 or -1 for \( \left|z - 8\right| \) to equal 1:
| z - 8 = 1 z = 1 + 8 z = 9 | z - 8 = -1 z = -1 + 8 z = 7 |
So, z = 7 or z = 9.
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?
| 1\(\frac{1}{4}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 1\(\frac{1}{2}\) cups | |
| 2\(\frac{1}{8}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{17}{8} \) cups
2\(\frac{1}{8}\) cups