| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
The total water usage for a city is 5,000 gallons each day. Of that total, 30% is for personal use and 62% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 9,900 | |
| 4,800 | |
| 1,600 | |
| 500 |
62% of the water consumption is industrial use and 30% is personal use so (62% - 30%) = 32% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{32}{100} \) x 5,000 gallons = 1,600 gallons.
What is \( \frac{20\sqrt{35}}{4\sqrt{5}} \)?
| 5 \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{5} \) | |
| 7 \( \sqrt{\frac{1}{5}} \) | |
| \(\frac{1}{5}\) \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{20\sqrt{35}}{4\sqrt{5}} \)
\( \frac{20}{4} \) \( \sqrt{\frac{35}{5}} \)
5 \( \sqrt{7} \)
Solve for \( \frac{5!}{4!} \)
| 336 | |
| 3024 | |
| 5 | |
| \( \frac{1}{210} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{4!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{5}{1} \)
5
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 41 | |
| 49 | |
| 45 | |
| 38 |
The equation for this sequence is:
an = an-1 + 8
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 + 8
a6 = 33 + 8
a6 = 41
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Monty buys two shirts, each with a regular price of $13, how much will he pay for both shirts?
| $1.95 | |
| $24.05 | |
| $18.20 | |
| $14.95 |
By buying two shirts, Monty will save $13 x \( \frac{15}{100} \) = \( \frac{$13 x 15}{100} \) = \( \frac{$195}{100} \) = $1.95 on the second shirt.
So, his total cost will be
$13.00 + ($13.00 - $1.95)
$13.00 + $11.05
$24.05