| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
What is the distance in miles of a trip that takes 7 hours at an average speed of 65 miles per hour?
| 325 miles | |
| 140 miles | |
| 75 miles | |
| 455 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 = \( 65mph \times 7h \)
455 miles
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
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 $11, how much will he pay for both shirts?
| $21.45 | |
| $15.95 | |
| $16.50 | |
| $10.45 |
By buying two shirts, Monty will save $11 x \( \frac{5}{100} \) = \( \frac{$11 x 5}{100} \) = \( \frac{$55}{100} \) = $0.55 on the second shirt.
So, his total cost will be
$11.00 + ($11.00 - $0.55)
$11.00 + $10.45
$21.45
Which of the following is not a prime number?
7 |
|
2 |
|
5 |
|
9 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
What is \( \frac{4}{7} \) ÷ \( \frac{1}{7} \)?
| \(\frac{1}{9}\) | |
| \(\frac{4}{49}\) | |
| \(\frac{1}{18}\) | |
| 4 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{7} \) ÷ \( \frac{1}{7} \) = \( \frac{4}{7} \) x \( \frac{7}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{7} \) x \( \frac{7}{1} \) = \( \frac{4 x 7}{7 x 1} \) = \( \frac{28}{7} \) = 4