| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
12 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 4 | |
| 7 | |
| 5 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 12 people needing transportation leaving 12 - 8 = 4 who will have to find other transportation.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Monty buys two shirts, each with a regular price of $21, how much will he pay for both shirts?
| $22.05 | |
| $29.40 | |
| $2.10 | |
| $39.90 |
By buying two shirts, Monty will save $21 x \( \frac{10}{100} \) = \( \frac{$21 x 10}{100} \) = \( \frac{$210}{100} \) = $2.10 on the second shirt.
So, his total cost will be
$21.00 + ($21.00 - $2.10)
$21.00 + $18.90
$39.90
A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?
| 30% | |
| 17\(\frac{1}{2}\)% | |
| 32\(\frac{1}{2}\)% | |
| 37\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 75% the radius (and, consequently, the total area) increases by \( \frac{75\text{%}}{2} \) = 37\(\frac{1}{2}\)%
In a class of 19 students, 11 are taking German and 7 are taking Spanish. Of the students studying German or Spanish, 5 are taking both courses. How many students are not enrolled in either course?
| 11 | |
| 19 | |
| 6 | |
| 12 |
The number of students taking German or Spanish is 11 + 7 = 18. Of that group of 18, 5 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 18 - 5 = 13 who are taking at least one language. 19 - 13 = 6 students who are not taking either language.
What is -8b6 + 3b6?
| 11b6 | |
| 11b-6 | |
| -5b6 | |
| -5b12 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-8b6 + 3b6
(-8 + 3)b6
-5b6