| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
How many hours does it take a car to travel 120 miles at an average speed of 15 miles per hour?
| 1 hour | |
| 2 hours | |
| 3 hours | |
| 8 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 = \( \frac{120mi}{15mph} \)
8 hours
What is 9\( \sqrt{4} \) x 8\( \sqrt{6} \)?
| 17\( \sqrt{24} \) | |
| 17\( \sqrt{4} \) | |
| 144\( \sqrt{6} \) | |
| 17\( \sqrt{6} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
9\( \sqrt{4} \) x 8\( \sqrt{6} \)
(9 x 8)\( \sqrt{4 \times 6} \)
72\( \sqrt{24} \)
Now we need to simplify the radical:
72\( \sqrt{24} \)
72\( \sqrt{6 \times 4} \)
72\( \sqrt{6 \times 2^2} \)
(72)(2)\( \sqrt{6} \)
144\( \sqrt{6} \)
Bob loaned Frank $500 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $70 | |
| $35 | |
| $49 | |
| $3 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $500
i = 0.07 x $500
i = $35
How many 1 gallon cans worth of fuel would you need to pour into an empty 6 gallon tank to fill it exactly halfway?
| 3 | |
| 6 | |
| 8 | |
| 2 |
To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3
On average, the center for a basketball team hits 40% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 25 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?
| 28 | |
| 46 | |
| 41 | |
| 24 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{45}{100} \) = \( \frac{45 x 25}{100} \) = \( \frac{1125}{100} \) = 11 shots
The center makes 40% 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 = \( \frac{11}{\frac{40}{100}} \) = 11 x \( \frac{100}{40} \) = \( \frac{11 x 100}{40} \) = \( \frac{1100}{40} \) = 28 shots
to make the same number of shots as the guard and thus score the same number of points.