| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
What is (c2)4?
| c6 | |
| c8 | |
| c-2 | |
| c2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c2)4A circular logo is enlarged to fit the lid of a jar. The new diameter is 55% larger than the original. By what percentage has the area of the logo increased?
| 27\(\frac{1}{2}\)% | |
| 37\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 15% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 55% the radius (and, consequently, the total area) increases by \( \frac{55\text{%}}{2} \) = 27\(\frac{1}{2}\)%
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Damon buys two shirts, each with a regular price of $43, how much will he pay for both shirts?
| $77.40 | |
| $55.90 | |
| $62.35 | |
| $34.40 |
By buying two shirts, Damon will save $43 x \( \frac{20}{100} \) = \( \frac{$43 x 20}{100} \) = \( \frac{$860}{100} \) = $8.60 on the second shirt.
So, his total cost will be
$43.00 + ($43.00 - $8.60)
$43.00 + $34.40
$77.40
The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common factor |
|
absolute value |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
The total water usage for a city is 25,000 gallons each day. Of that total, 26% is for personal use and 47% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 13,950 | |
| 5,250 | |
| 9,450 | |
| 9,600 |
47% of the water consumption is industrial use and 26% is personal use so (47% - 26%) = 21% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{21}{100} \) x 25,000 gallons = 5,250 gallons.