| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 44,000 seats in a stadium are filled, how many home fans are in attendance?
| 34,400 | |
| 28,500 | |
| 36,667 | |
| 34,167 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
44,000 fans x \( \frac{5}{6} \) = \( \frac{220000}{6} \) = 36,667 fans.
A machine in a factory has an error rate of 4 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday the machine was shut down for 7 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 88.4 | |
| 178.6 | |
| 72.8 | |
| 130.6 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{4}{100} \) x 8 = \( \frac{4 \times 8}{100} \) = \( \frac{32}{100} \) = 0.32 errors per hour
So, in an average hour, the machine will produce 8 - 0.32 = 7.68 error free parts.
The machine ran for 24 - 7 = 17 hours yesterday so you would expect that 17 x 7.68 = 130.6 error free parts were produced yesterday.
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 $21, how much money will he save?
| $8.40 | |
| $3.15 | |
| $5.25 | |
| $2.10 |
By buying two shirts, Damon will save $21 x \( \frac{25}{100} \) = \( \frac{$21 x 25}{100} \) = \( \frac{$525}{100} \) = $5.25 on the second shirt.
Simplify \( \sqrt{75} \)
| 6\( \sqrt{6} \) | |
| 7\( \sqrt{6} \) | |
| 5\( \sqrt{3} \) | |
| 8\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)
Charlie 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?
| $1,080 | |
| $1,090 | |
| $1,070 | |
| $1,030 |
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 + $70