| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 60% of his shots. If the guard takes 15 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?
| 18 | |
| 23 | |
| 17 | |
| 20 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{60}{100} \) = \( \frac{60 x 15}{100} \) = \( \frac{900}{100} \) = 9 shots
The center makes 45% 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 = \( \frac{9}{\frac{45}{100}} \) = 9 x \( \frac{100}{45} \) = \( \frac{9 x 100}{45} \) = \( \frac{900}{45} \) = 20 shots
to make the same number of shots as the guard and thus score the same number of points.
Which of the following is not an integer?
-1 |
|
\({1 \over 2}\) |
|
0 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is -8a7 - 8a7?
| 16a-7 | |
| -16a7 | |
| 16a7 | |
| 7 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-8a7 - 8a7
(-8 - 8)a7
-16a7
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 17 small cakes per hour. The kitchen is available for 3 hours and 35 large cakes and 330 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?
| 15 | |
| 13 | |
| 10 | |
| 11 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 3 x 3 = 9 large cakes during that time. 35 large cakes are needed for the party so \( \frac{35}{9} \) = 3\(\frac{8}{9}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 17 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 17 x 3 = 51 small cakes during that time. 330 small cakes are needed for the party so \( \frac{330}{51} \) = 6\(\frac{8}{17}\) 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 4 + 7 = 11 cooks.
The total water usage for a city is 40,000 gallons each day. Of that total, 26% is for personal use and 61% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 10,850 | |
| 14,000 | |
| 6,250 | |
| 10,500 |
61% of the water consumption is industrial use and 26% is personal use so (61% - 26%) = 35% more water is used for industrial purposes. 40,000 gallons are consumed daily so industry consumes \( \frac{35}{100} \) x 40,000 gallons = 14,000 gallons.