| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Ezra buys two shirts, each with a regular price of $34, how much money will he save?
| $1.70 | |
| $6.80 | |
| $3.40 | |
| $15.30 |
By buying two shirts, Ezra will save $34 x \( \frac{45}{100} \) = \( \frac{$34 x 45}{100} \) = \( \frac{$1530}{100} \) = $15.30 on the second shirt.
What is (z3)2?
| 2z3 | |
| z6 | |
| z-1 | |
| z5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z3)2Solve 5 + (4 + 2) ÷ 5 x 2 - 22
| 1\(\frac{1}{4}\) | |
| 3\(\frac{2}{5}\) | |
| 2 | |
| \(\frac{2}{7}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (4 + 2) ÷ 5 x 2 - 22
P: 5 + (6) ÷ 5 x 2 - 22
E: 5 + 6 ÷ 5 x 2 - 4
MD: 5 + \( \frac{6}{5} \) x 2 - 4
MD: 5 + \( \frac{12}{5} \) - 4
AS: \( \frac{25}{5} \) + \( \frac{12}{5} \) - 4
AS: \( \frac{37}{5} \) - 4
AS: \( \frac{37 - 20}{5} \)
\( \frac{17}{5} \)
3\(\frac{2}{5}\)
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 20 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?
| 27 | |
| 44 | |
| 38 | |
| 24 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{60}{100} \) = \( \frac{60 x 20}{100} \) = \( \frac{1200}{100} \) = 12 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 = \( \frac{12}{\frac{45}{100}} \) = 12 x \( \frac{100}{45} \) = \( \frac{12 x 100}{45} \) = \( \frac{1200}{45} \) = 27 shots
to make the same number of shots as the guard and thus score the same number of points.
How many hours does it take a car to travel 55 miles at an average speed of 55 miles per hour?
| 1 hour | |
| 2 hours | |
| 4 hours | |
| 5 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{55mi}{55mph} \)
1 hour