| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Roger buys two shirts, each with a regular price of $26, how much money will he save?
| $5.20 | |
| $7.80 | |
| 58 | |
| $1.30 |
By buying two shirts, Roger will save $26 x \( \frac{30}{100} \) = \( \frac{$26 x 30}{100} \) = \( \frac{$780}{100} \) = $7.80 on the second shirt.
Convert 3,130,000 to scientific notation.
| 3.13 x 106 | |
| 3.13 x 107 | |
| 3.13 x 10-6 | |
| 3.13 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
3,130,000 in scientific notation is 3.13 x 106
A bread recipe calls for 3\(\frac{3}{8}\) cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?
| 2\(\frac{1}{2}\) cups | |
| 3 cups | |
| 1 cups | |
| 2 cups |
The amount of flour you need is (3\(\frac{3}{8}\) - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{27}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{24}{8} \) cups
3 cups
What is \( \frac{15\sqrt{10}}{3\sqrt{2}} \)?
| 5 \( \sqrt{\frac{1}{5}} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{5}} \) | |
| 5 \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{15\sqrt{10}}{3\sqrt{2}} \)
\( \frac{15}{3} \) \( \sqrt{\frac{10}{2}} \)
5 \( \sqrt{5} \)
On average, the center for a basketball team hits 45% of his shots while a guard on the same team hits 65% 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?
| 36 | |
| 38 | |
| 18 | |
| 20 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{65}{100} \) = \( \frac{65 x 15}{100} \) = \( \frac{975}{100} \) = 9 shots
The center makes 45% 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 = \( \frac{9}{\frac{45}{100}} \) = 9 x \( \frac{100}{45} \) = \( \frac{9 x 100}{45} \) = \( \frac{900}{45} \) = 20 shots
to make the same number of shots as the guard and thus score the same number of points.