| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.70 |
| Score | 0% | 74% |
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 50 | |
| 40 | |
| 38 | |
| 41 |
The equation for this sequence is:
an = an-1 + 8
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 8
a6 = 33 + 8
a6 = 41
What is (c3)3?
| c9 | |
| c0 | |
| 3c3 | |
| c6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c3)3On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 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?
| 50 | |
| 58 | |
| 29 | |
| 39 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots
The center makes 30% 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 = \( \frac{15}{\frac{30}{100}} \) = 15 x \( \frac{100}{30} \) = \( \frac{15 x 100}{30} \) = \( \frac{1500}{30} \) = 50 shots
to make the same number of shots as the guard and thus score the same number of points.
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
|
\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Alex buys two shirts, each with a regular price of $36, how much money will he save?
| $1.80 | |
| $5.40 | |
| $7.20 | |
| $18.00 |
By buying two shirts, Alex will save $36 x \( \frac{15}{100} \) = \( \frac{$36 x 15}{100} \) = \( \frac{$540}{100} \) = $5.40 on the second shirt.