| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
What is the distance in miles of a trip that takes 7 hours at an average speed of 55 miles per hour?
| 110 miles | |
| 200 miles | |
| 385 miles | |
| 540 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 = \( 55mph \times 7h \)
385 miles
Simplify \( \frac{16}{56} \).
| \( \frac{4}{7} \) | |
| \( \frac{9}{14} \) | |
| \( \frac{5}{16} \) | |
| \( \frac{2}{7} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 4 factors [1, 2, 4, 8] making 8 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{56} \) = \( \frac{\frac{16}{8}}{\frac{56}{8}} \) = \( \frac{2}{7} \)
Convert 6,000,000 to scientific notation.
| 0.6 x 107 | |
| 6.0 x 106 | |
| 6.0 x 105 | |
| 6.0 x 10-6 |
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:
6,000,000 in scientific notation is 6.0 x 106
Solve 2 + (5 + 3) ÷ 5 x 3 - 32
| 1 | |
| \(\frac{1}{3}\) | |
| 1\(\frac{1}{2}\) | |
| -2\(\frac{1}{5}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (5 + 3) ÷ 5 x 3 - 32
P: 2 + (8) ÷ 5 x 3 - 32
E: 2 + 8 ÷ 5 x 3 - 9
MD: 2 + \( \frac{8}{5} \) x 3 - 9
MD: 2 + \( \frac{24}{5} \) - 9
AS: \( \frac{10}{5} \) + \( \frac{24}{5} \) - 9
AS: \( \frac{34}{5} \) - 9
AS: \( \frac{34 - 45}{5} \)
\( \frac{-11}{5} \)
-2\(\frac{1}{5}\)
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({5 \over 7} \) |
|
\({a \over 5} \) |
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.