| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.44 |
| Score | 0% | 49% |
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 55% 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?
| 22 | |
| 16 | |
| 20 | |
| 38 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{55}{100} \) = \( \frac{55 x 15}{100} \) = \( \frac{825}{100} \) = 8 shots
The center makes 50% 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 = \( \frac{8}{\frac{50}{100}} \) = 8 x \( \frac{100}{50} \) = \( \frac{8 x 100}{50} \) = \( \frac{800}{50} \) = 16 shots
to make the same number of shots as the guard and thus score the same number of points.
Solve 4 + (4 + 3) ÷ 3 x 2 - 42
| \(\frac{5}{8}\) | |
| 1 | |
| -7\(\frac{1}{3}\) | |
| 1\(\frac{2}{3}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (4 + 3) ÷ 3 x 2 - 42
P: 4 + (7) ÷ 3 x 2 - 42
E: 4 + 7 ÷ 3 x 2 - 16
MD: 4 + \( \frac{7}{3} \) x 2 - 16
MD: 4 + \( \frac{14}{3} \) - 16
AS: \( \frac{12}{3} \) + \( \frac{14}{3} \) - 16
AS: \( \frac{26}{3} \) - 16
AS: \( \frac{26 - 48}{3} \)
\( \frac{-22}{3} \)
-7\(\frac{1}{3}\)
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 5 | |
| 7 | |
| 8 | |
| 4 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Damon buys two shirts, each with a regular price of $49, how much will he pay for both shirts?
| $83.30 | |
| $61.25 | |
| $14.70 | |
| $56.35 |
By buying two shirts, Damon will save $49 x \( \frac{30}{100} \) = \( \frac{$49 x 30}{100} \) = \( \frac{$1470}{100} \) = $14.70 on the second shirt.
So, his total cost will be
$49.00 + ($49.00 - $14.70)
$49.00 + $34.30
$83.30
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 17 small cakes per hour. The kitchen is available for 4 hours and 29 large cakes and 120 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 | |
| 11 | |
| 9 | |
| 4 |
If a single cook can bake 4 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 4 x 4 = 16 large cakes during that time. 29 large cakes are needed for the party so \( \frac{29}{16} \) = 1\(\frac{13}{16}\) 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 4 hours, a single cook can bake 17 x 4 = 68 small cakes during that time. 120 small cakes are needed for the party so \( \frac{120}{68} \) = 1\(\frac{13}{17}\) 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 2 + 2 = 4 cooks.