| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Bob buys two shirts, each with a regular price of $14, how much will he pay for both shirts?
| $27.30 | |
| $19.60 | |
| $20.30 | |
| $0.70 |
By buying two shirts, Bob will save $14 x \( \frac{5}{100} \) = \( \frac{$14 x 5}{100} \) = \( \frac{$70}{100} \) = $0.70 on the second shirt.
So, his total cost will be
$14.00 + ($14.00 - $0.70)
$14.00 + $13.30
$27.30
Solve 5 + (3 + 3) ÷ 4 x 2 - 52
| 2\(\frac{1}{2}\) | |
| 1 | |
| -17 | |
| \(\frac{6}{7}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (3 + 3) ÷ 4 x 2 - 52
P: 5 + (6) ÷ 4 x 2 - 52
E: 5 + 6 ÷ 4 x 2 - 25
MD: 5 + \( \frac{6}{4} \) x 2 - 25
MD: 5 + \( \frac{12}{4} \) - 25
AS: \( \frac{20}{4} \) + \( \frac{12}{4} \) - 25
AS: \( \frac{32}{4} \) - 25
AS: \( \frac{32 - 100}{4} \)
\( \frac{-68}{4} \)
-17
A triathlon course includes a 300m swim, a 40.8km bike ride, and a 5.9km run. What is the total length of the race course?
| 43.3km | |
| 56.3km | |
| 47km | |
| 63.1km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 40.8km + 5.9km
total distance = 47km
What is -5z3 + 8z3?
| 3z3 | |
| 13z3 | |
| 13z-3 | |
| 3z9 |
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:
-5z3 + 8z3
(-5 + 8)z3
3z3
Simplify \( \frac{24}{60} \).
| \( \frac{2}{5} \) | |
| \( \frac{2}{3} \) | |
| \( \frac{1}{2} \) | |
| \( \frac{5}{16} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{24}{60} \) = \( \frac{\frac{24}{12}}{\frac{60}{12}} \) = \( \frac{2}{5} \)