| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Monty buys two shirts, each with a regular price of $39, how much money will he save?
| $11.70 | |
| $3.90 | |
| $1.95 | |
| $19.50 |
By buying two shirts, Monty will save $39 x \( \frac{50}{100} \) = \( \frac{$39 x 50}{100} \) = \( \frac{$1950}{100} \) = $19.50 on the second shirt.
What is \( \frac{-1c^9}{8c^4} \)?
| -\(\frac{1}{8}\)c\(\frac{4}{9}\) | |
| -8c5 | |
| -\(\frac{1}{8}\)c5 | |
| -\(\frac{1}{8}\)c-5 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-c^9}{8c^4} \)
\( \frac{-1}{8} \) c(9 - 4)
-\(\frac{1}{8}\)c5
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?
| 3:2 | |
| 49:2 | |
| 5:8 | |
| 7:6 |
The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 61 | |
| 66 | |
| 67 | |
| 52 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
Solve 4 + (5 + 5) ÷ 2 x 4 - 22
| 20 | |
| \(\frac{3}{4}\) | |
| 1\(\frac{1}{3}\) | |
| 2 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (5 + 5) ÷ 2 x 4 - 22
P: 4 + (10) ÷ 2 x 4 - 22
E: 4 + 10 ÷ 2 x 4 - 4
MD: 4 + \( \frac{10}{2} \) x 4 - 4
MD: 4 + \( \frac{40}{2} \) - 4
AS: \( \frac{8}{2} \) + \( \frac{40}{2} \) - 4
AS: \( \frac{48}{2} \) - 4
AS: \( \frac{48 - 8}{2} \)
\( \frac{40}{2} \)
20