| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
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.
If all of a roofing company's 10 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 9 complete crews out on jobs?
| 7 | |
| 13 | |
| 8 | |
| 1 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 10 workers at the company now and that's enough to staff 5 crews so there are \( \frac{10}{5} \) = 2 workers on a crew. 9 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 9 x 2 = 18 total workers to staff the crews during the busy season. The company already employs 10 workers so they need to add 18 - 10 = 8 new staff for the busy season.
Which of the following statements about exponents is false?
b0 = 1 |
|
all of these are false |
|
b1 = b |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Solve 4 + (3 + 4) ÷ 5 x 4 - 52
| 1\(\frac{1}{4}\) | |
| 1\(\frac{1}{2}\) | |
| 2 | |
| -15\(\frac{2}{5}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (3 + 4) ÷ 5 x 4 - 52
P: 4 + (7) ÷ 5 x 4 - 52
E: 4 + 7 ÷ 5 x 4 - 25
MD: 4 + \( \frac{7}{5} \) x 4 - 25
MD: 4 + \( \frac{28}{5} \) - 25
AS: \( \frac{20}{5} \) + \( \frac{28}{5} \) - 25
AS: \( \frac{48}{5} \) - 25
AS: \( \frac{48 - 125}{5} \)
\( \frac{-77}{5} \)
-15\(\frac{2}{5}\)
Which of the following is an improper fraction?
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
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.