| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
A bread recipe calls for 3\(\frac{5}{8}\) cups of flour. If you only have 1 cup, how much more flour is needed?
| \(\frac{5}{8}\) cups | |
| 2 cups | |
| 1\(\frac{1}{8}\) cups | |
| 2\(\frac{5}{8}\) cups |
The amount of flour you need is (3\(\frac{5}{8}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{29}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{21}{8} \) cups
2\(\frac{5}{8}\) cups
What is (x3)5?
| x15 | |
| 3x5 | |
| x-2 | |
| x8 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x3)5\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
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distributive property for multiplication |
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commutative 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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
How many 8-passenger vans will it take to drive all 75 members of the football team to an away game?
| 3 vans | |
| 9 vans | |
| 10 vans | |
| 5 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{75}{8} \) = 9\(\frac{3}{8}\)
So, it will take 9 full vans and one partially full van to transport the entire team making a total of 10 vans.
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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least common factor |
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least common multiple |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.