| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 38,000 seats in a stadium are filled, how many home fans are in attendance?
| 37,500 | |
| 32,000 | |
| 35,833 | |
| 30,400 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
38,000 fans x \( \frac{4}{5} \) = \( \frac{152000}{5} \) = 30,400 fans.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
none of these is correct |
|
a = -7 |
|
a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 10 small cakes per hour. The kitchen is available for 2 hours and 24 large cakes and 450 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
| 27 | |
| 7 | |
| 8 | |
| 5 |
If a single cook can bake 3 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 3 x 2 = 6 large cakes during that time. 24 large cakes are needed for the party so \( \frac{24}{6} \) = 4 cooks are needed to bake the required number of large cakes.
If a single cook can bake 10 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 10 x 2 = 20 small cakes during that time. 450 small cakes are needed for the party so \( \frac{450}{20} \) = 22\(\frac{1}{2}\) cooks are needed to bake the required number of small cakes.
Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 4 + 23 = 27 cooks.
What is the distance in miles of a trip that takes 1 hour at an average speed of 15 miles per hour?
| 520 miles | |
| 15 miles | |
| 35 miles | |
| 245 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 15mph \times 1h \)
15 miles
How many 7-passenger vans will it take to drive all 52 members of the football team to an away game?
| 10 vans | |
| 9 vans | |
| 7 vans | |
| 8 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{52}{7} \) = 7\(\frac{3}{7}\)
So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.