| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.64 |
| Score | 0% | 73% |
What is \( \frac{30\sqrt{40}}{6\sqrt{8}} \)?
| 5 \( \sqrt{\frac{1}{5}} \) | |
| \(\frac{1}{5}\) \( \sqrt{5} \) | |
| 5 \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{5}} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{30\sqrt{40}}{6\sqrt{8}} \)
\( \frac{30}{6} \) \( \sqrt{\frac{40}{8}} \)
5 \( \sqrt{5} \)
What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?
| 31 | |
| 25 | |
| 27 | |
| 32 |
The equation for this sequence is:
an = an-1 + 6
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 + 6
a6 = 25 + 6
a6 = 31
How many 1 gallon cans worth of fuel would you need to pour into an empty 10 gallon tank to fill it exactly halfway?
| 8 | |
| 10 | |
| 3 | |
| 5 |
To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{5 \text{ gallons}}{1 \text{ gallons}} \) = 5
How many 9-passenger vans will it take to drive all 42 members of the football team to an away game?
| 10 vans | |
| 5 vans | |
| 6 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{42}{9} \) = 4\(\frac{2}{3}\)
So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.
What is \( \sqrt{\frac{36}{49}} \)?
| \(\frac{8}{9}\) | |
| 1\(\frac{2}{5}\) | |
| \(\frac{2}{9}\) | |
| \(\frac{6}{7}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{36}{49}} \)
\( \frac{\sqrt{36}}{\sqrt{49}} \)
\( \frac{\sqrt{6^2}}{\sqrt{7^2}} \)
\(\frac{6}{7}\)