| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 11 small cakes per hour. The kitchen is available for 3 hours and 23 large cakes and 410 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?
| 12 | |
| 9 | |
| 8 | |
| 15 |
If a single cook can bake 5 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 5 x 3 = 15 large cakes during that time. 23 large cakes are needed for the party so \( \frac{23}{15} \) = 1\(\frac{8}{15}\) cooks are needed to bake the required number of large cakes.
If a single cook can bake 11 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 11 x 3 = 33 small cakes during that time. 410 small cakes are needed for the party so \( \frac{410}{33} \) = 12\(\frac{14}{33}\) 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 2 + 13 = 15 cooks.
The total water usage for a city is 5,000 gallons each day. Of that total, 18% is for personal use and 31% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 7,200 | |
| 650 | |
| 700 | |
| 9,000 |
31% of the water consumption is industrial use and 18% is personal use so (31% - 18%) = 13% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{13}{100} \) x 5,000 gallons = 650 gallons.
Convert a-2 to remove the negative exponent.
| \( \frac{1}{a^2} \) | |
| \( \frac{-2}{-a} \) | |
| \( \frac{2}{a} \) | |
| \( \frac{-1}{a^{-2}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of the following statements about exponents is false?
b1 = 1 |
|
b0 = 1 |
|
all of these are false |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
How many 7-passenger vans will it take to drive all 69 members of the football team to an away game?
| 7 vans | |
| 10 vans | |
| 6 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{69}{7} \) = 9\(\frac{6}{7}\)
So, it will take 9 full vans and one partially full van to transport the entire team making a total of 10 vans.