| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
What is the distance in miles of a trip that takes 3 hours at an average speed of 75 miles per hour?
| 150 miles | |
| 315 miles | |
| 225 miles | |
| 30 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 = \( 75mph \times 3h \)
225 miles
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
mixed number |
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improper fraction |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({2 \over 5} \) |
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.
Convert 6,892,000 to scientific notation.
| 0.689 x 107 | |
| 6.892 x 10-5 | |
| 6.892 x 10-6 | |
| 6.892 x 106 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
6,892,000 in scientific notation is 6.892 x 106
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Frank buys two shirts, each with a regular price of $19, how much will he pay for both shirts?
| $36.10 | |
| $1.90 | |
| $17.10 | |
| $28.50 |
By buying two shirts, Frank will save $19 x \( \frac{10}{100} \) = \( \frac{$19 x 10}{100} \) = \( \frac{$190}{100} \) = $1.90 on the second shirt.
So, his total cost will be
$19.00 + ($19.00 - $1.90)
$19.00 + $17.10
$36.10