| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
How many hours does it take a car to travel 180 miles at an average speed of 60 miles per hour?
| 3 hours | |
| 6 hours | |
| 7 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 = \( \frac{180mi}{60mph} \)
3 hours
What is 9\( \sqrt{6} \) x 8\( \sqrt{5} \)?
| 17\( \sqrt{5} \) | |
| 17\( \sqrt{6} \) | |
| 17\( \sqrt{30} \) | |
| 72\( \sqrt{30} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
9\( \sqrt{6} \) x 8\( \sqrt{5} \)
(9 x 8)\( \sqrt{6 \times 5} \)
72\( \sqrt{30} \)
Which of the following statements about exponents is false?
b1 = 1 |
|
all of these are false |
|
b0 = 1 |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Ezra buys two shirts, each with a regular price of $31, how much will he pay for both shirts?
| $58.90 | |
| $34.10 | |
| $27.90 | |
| $3.10 |
By buying two shirts, Ezra will save $31 x \( \frac{10}{100} \) = \( \frac{$31 x 10}{100} \) = \( \frac{$310}{100} \) = $3.10 on the second shirt.
So, his total cost will be
$31.00 + ($31.00 - $3.10)
$31.00 + $27.90
$58.90
Solve for \( \frac{4!}{2!} \)
| 120 | |
| 6720 | |
| 12 | |
| 8 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{4!}{2!} \)
\( \frac{4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{4 \times 3}{1} \)
\( 4 \times 3 \)
12