| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Which of these numbers is a factor of 64?
| 8 | |
| 1 | |
| 27 | |
| 59 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
Solve 3 + (3 + 3) ÷ 5 x 4 - 32
| \(\frac{4}{5}\) | |
| 1\(\frac{1}{3}\) | |
| \(\frac{5}{7}\) | |
| -1\(\frac{1}{5}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (3 + 3) ÷ 5 x 4 - 32
P: 3 + (6) ÷ 5 x 4 - 32
E: 3 + 6 ÷ 5 x 4 - 9
MD: 3 + \( \frac{6}{5} \) x 4 - 9
MD: 3 + \( \frac{24}{5} \) - 9
AS: \( \frac{15}{5} \) + \( \frac{24}{5} \) - 9
AS: \( \frac{39}{5} \) - 9
AS: \( \frac{39 - 45}{5} \)
\( \frac{-6}{5} \)
-1\(\frac{1}{5}\)
What is \( \frac{9x^8}{1x^4} \)?
| \(\frac{1}{9}\)x4 | |
| 9x-4 | |
| 9x4 | |
| \(\frac{1}{9}\)x-4 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{9x^8}{x^4} \)
\( \frac{9}{1} \) x(8 - 4)
9x4
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Monty buys two shirts, each with a regular price of $34, how much will he pay for both shirts?
| $1.70 | |
| $49.30 | |
| $66.30 | |
| $51.00 |
By buying two shirts, Monty will save $34 x \( \frac{5}{100} \) = \( \frac{$34 x 5}{100} \) = \( \frac{$170}{100} \) = $1.70 on the second shirt.
So, his total cost will be
$34.00 + ($34.00 - $1.70)
$34.00 + $32.30
$66.30
What is the distance in miles of a trip that takes 4 hours at an average speed of 20 miles per hour?
| 315 miles | |
| 90 miles | |
| 80 miles | |
| 600 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 20mph \times 4h \)
80 miles