| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
How many hours does it take a car to travel 80 miles at an average speed of 40 miles per hour?
| 6 hours | |
| 9 hours | |
| 4 hours | |
| 2 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{80mi}{40mph} \)
2 hours
a(b + c) = ab + ac defines which of the following?
commutative property for division |
|
commutative property for multiplication |
|
distributive property for division |
|
distributive property for multiplication |
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.
Simplify \( \frac{28}{52} \).
| \( \frac{7}{13} \) | |
| \( \frac{2}{3} \) | |
| \( \frac{5}{14} \) | |
| \( \frac{3}{7} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{52} \) = \( \frac{\frac{28}{4}}{\frac{52}{4}} \) = \( \frac{7}{13} \)
If there were a total of 300 raffle tickets sold and you bought 9 tickets, what's the probability that you'll win the raffle?
| 12% | |
| 2% | |
| 4% | |
| 3% |
You have 9 out of the total of 300 raffle tickets sold so you have a (\( \frac{9}{300} \)) x 100 = \( \frac{9 \times 100}{300} \) = \( \frac{900}{300} \) = 3% chance to win the raffle.
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have \(\frac{1}{8}\) cup, how much more flour is needed?
| 3\(\frac{1}{8}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2\(\frac{1}{2}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{1}{8} \)) cups
\( \frac{25}{8} \) cups
3\(\frac{1}{8}\) cups