| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Ezra buys two shirts, each with a regular price of $42, how much money will he save?
| $21.00 | |
| $14.70 | |
| $10.50 | |
| $2.10 |
By buying two shirts, Ezra will save $42 x \( \frac{50}{100} \) = \( \frac{$42 x 50}{100} \) = \( \frac{$2100}{100} \) = $21.00 on the second shirt.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for multiplication |
|
distributive property for multiplication |
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commutative property for division |
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distributive 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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
The total water usage for a city is 50,000 gallons each day. Of that total, 28% is for personal use and 50% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 3,750 | |
| 6,600 | |
| 1,350 | |
| 11,000 |
50% of the water consumption is industrial use and 28% is personal use so (50% - 28%) = 22% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{22}{100} \) x 50,000 gallons = 11,000 gallons.
In a class of 22 students, 9 are taking German and 9 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 16 | |
| 14 | |
| 6 | |
| 18 |
The number of students taking German or Spanish is 9 + 9 = 18. Of that group of 18, 2 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 18 - 2 = 16 who are taking at least one language. 22 - 16 = 6 students who are not taking either language.
What is the greatest common factor of 64 and 48?
| 16 | |
| 47 | |
| 25 | |
| 6 |
The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 5 factors [1, 2, 4, 8, 16] making 16 the greatest factor 64 and 48 have in common.