| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
Simplify \( \sqrt{20} \)
| 2\( \sqrt{5} \) | |
| 4\( \sqrt{10} \) | |
| 9\( \sqrt{5} \) | |
| 7\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{20} \)
\( \sqrt{4 \times 5} \)
\( \sqrt{2^2 \times 5} \)
2\( \sqrt{5} \)
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 49 | |
| 45 | |
| 46 | |
| 52 |
The equation for this sequence is:
an = an-1 + 9
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 9
a6 = 37 + 9
a6 = 46
A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 9 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 199.5 | |
| 149.4 | |
| 180.2 | |
| 127.8 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{9}{100} \) x 9 = \( \frac{9 \times 9}{100} \) = \( \frac{81}{100} \) = 0.81 errors per hour
So, in an average hour, the machine will produce 9 - 0.81 = 8.19 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 8.19 = 180.2 error free parts were produced yesterday.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Bob buys two shirts, each with a regular price of $25, how much money will he save?
| $12.50 | |
| $1.25 | |
| $8.75 | |
| $7.50 |
By buying two shirts, Bob will save $25 x \( \frac{30}{100} \) = \( \frac{$25 x 30}{100} \) = \( \frac{$750}{100} \) = $7.50 on the second shirt.
How many 13-passenger vans will it take to drive all 32 members of the football team to an away game?
| 4 vans | |
| 6 vans | |
| 3 vans | |
| 10 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{32}{13} \) = 2\(\frac{6}{13}\)
So, it will take 2 full vans and one partially full van to transport the entire team making a total of 3 vans.