| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
| 1\(\frac{7}{8}\) cups | |
| \(\frac{1}{2}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 1\(\frac{1}{2}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups
In a class of 29 students, 11 are taking German and 8 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 29 | |
| 15 | |
| 14 | |
| 26 |
The number of students taking German or Spanish is 11 + 8 = 19. Of that group of 19, 4 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 19 - 4 = 15 who are taking at least one language. 29 - 15 = 14 students who are not taking either language.
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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distributive property for division |
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distributive property for multiplication |
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commutative property for division |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 55% of his shots. If the guard takes 15 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 26 | |
| 16 | |
| 20 | |
| 35 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{55}{100} \) = \( \frac{55 x 15}{100} \) = \( \frac{825}{100} \) = 8 shots
The center makes 50% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{8}{\frac{50}{100}} \) = 8 x \( \frac{100}{50} \) = \( \frac{8 x 100}{50} \) = \( \frac{800}{50} \) = 16 shots
to make the same number of shots as the guard and thus score the same number of points.
If a car travels 150 miles in 3 hours, what is the average speed?
| 40 mph | |
| 50 mph | |
| 45 mph | |
| 20 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)