| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.74 |
| Score | 0% | 55% |
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 40% of his shots. If the guard takes 10 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 11 | |
| 15 | |
| 9 | |
| 13 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{40}{100} \) = \( \frac{40 x 10}{100} \) = \( \frac{400}{100} \) = 4 shots
The center makes 30% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{4}{\frac{30}{100}} \) = 4 x \( \frac{100}{30} \) = \( \frac{4 x 100}{30} \) = \( \frac{400}{30} \) = 13 shots
to make the same number of shots as the guard and thus score the same number of points.
What is -c2 + 4c2?
| 3c2 | |
| -5c-2 | |
| 3c-4 | |
| 5c-2 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-1c2 + 4c2
(-1 + 4)c2
3c2
The total water usage for a city is 45,000 gallons each day. Of that total, 16% is for personal use and 31% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 14,499 | |
| 6,750 | |
| 2,100 | |
| 9,900 |
31% of the water consumption is industrial use and 16% is personal use so (31% - 16%) = 15% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{15}{100} \) x 45,000 gallons = 6,750 gallons.
Which of the following is not a prime number?
7 |
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2 |
|
5 |
|
9 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Cooks are needed to prepare for a large party. Each cook can bake either 2 large cakes or 14 small cakes per hour. The kitchen is available for 4 hours and 36 large cakes and 350 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 12 | |
| 6 | |
| 8 | |
| 15 |
If a single cook can bake 2 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 2 x 4 = 8 large cakes during that time. 36 large cakes are needed for the party so \( \frac{36}{8} \) = 4\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 14 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 14 x 4 = 56 small cakes during that time. 350 small cakes are needed for the party so \( \frac{350}{56} \) = 6\(\frac{1}{4}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 5 + 7 = 12 cooks.