| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
| 4.5 | |
| 1 | |
| 6.4 | |
| 7.0 |
1
What is \( \sqrt{\frac{25}{36}} \)?
| \(\frac{2}{7}\) | |
| \(\frac{5}{6}\) | |
| \(\frac{5}{9}\) | |
| \(\frac{3}{4}\) |
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:
\( \sqrt{\frac{25}{36}} \)
\( \frac{\sqrt{25}}{\sqrt{36}} \)
\( \frac{\sqrt{5^2}}{\sqrt{6^2}} \)
\(\frac{5}{6}\)
The total water usage for a city is 15,000 gallons each day. Of that total, 32% is for personal use and 66% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 13,200 | |
| 9,300 | |
| 5,100 | |
| 11,600 |
66% of the water consumption is industrial use and 32% is personal use so (66% - 32%) = 34% more water is used for industrial purposes. 15,000 gallons are consumed daily so industry consumes \( \frac{34}{100} \) x 15,000 gallons = 5,100 gallons.
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 24 | |
| 31 | |
| 29 | |
| 27 |
The equation for this sequence is:
an = an-1 + 2(n - 1)
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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
Monty loaned Bob $1,300 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $10 | |
| $42 | |
| $78 | |
| $30 |
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 $1,300
i = 0.06 x $1,300
i = $78