| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
24 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?
| 4 | |
| 2 | |
| 6 | |
| 9 |
There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 24 people needing transportation leaving 24 - 20 = 4 who will have to find other transportation.
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?
| \(\frac{1}{4}\) cups | |
| 1\(\frac{1}{4}\) cups | |
| 1\(\frac{3}{4}\) cups | |
| 1\(\frac{3}{8}\) cups |
The amount of flour you need is (2\(\frac{3}{8}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{10}{8} \) cups
1\(\frac{1}{4}\) cups
If a rectangle is twice as long as it is wide and has a perimeter of 36 meters, what is the area of the rectangle?
| 18 m2 | |
| 98 m2 | |
| 72 m2 | |
| 32 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 36 meters so the equation becomes: 2w + 2h = 36.
Putting these two equations together and solving for width (w):
2w + 2h = 36
w + h = \( \frac{36}{2} \)
w + h = 18
w = 18 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 18 - 2w
3w = 18
w = \( \frac{18}{3} \)
w = 6
Since h = 2w that makes h = (2 x 6) = 12 and the area = h x w = 6 x 12 = 72 m2
How many 15-passenger vans will it take to drive all 88 members of the football team to an away game?
| 7 vans | |
| 9 vans | |
| 3 vans | |
| 6 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{88}{15} \) = 5\(\frac{13}{15}\)
So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.
The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common multiple |
|
greatest common factor |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.