| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Roger buys two shirts, each with a regular price of $34, how much money will he save?
| $11.90 | |
| $10.20 | |
| $17.00 | |
| $13.60 |
By buying two shirts, Roger will save $34 x \( \frac{40}{100} \) = \( \frac{$34 x 40}{100} \) = \( \frac{$1360}{100} \) = $13.60 on the second shirt.
Which of these numbers is a factor of 48?
| 8 | |
| 30 | |
| 6 | |
| 7 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 11 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 280 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 11 | |
| 6 | |
| 9 | |
| 13 |
If a single cook can bake 5 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 5 x 3 = 15 large cakes during that time. 20 large cakes are needed for the party so \( \frac{20}{15} \) = 1\(\frac{1}{3}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 11 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 11 x 3 = 33 small cakes during that time. 280 small cakes are needed for the party so \( \frac{280}{33} \) = 8\(\frac{16}{33}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 2 + 9 = 11 cooks.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for multiplication |
|
distributive property for division |
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distributive property for multiplication |
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commutative property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
A machine in a factory has an error rate of 4 parts per 100. The machine normally runs 24 hours a day and produces 9 parts per hour. Yesterday the machine was shut down for 3 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 181.4 | |
| 122.2 | |
| 100.8 | |
| 152 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{4}{100} \) x 9 = \( \frac{4 \times 9}{100} \) = \( \frac{36}{100} \) = 0.36 errors per hour
So, in an average hour, the machine will produce 9 - 0.36 = 8.64 error free parts.
The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 8.64 = 181.4 error free parts were produced yesterday.