| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.74 |
| Score | 0% | 75% |
Find the average of the following numbers: 15, 9, 16, 8.
| 17 | |
| 10 | |
| 7 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{15 + 9 + 16 + 8}{4} \) = \( \frac{48}{4} \) = 12
What is the distance in miles of a trip that takes 3 hours at an average speed of 20 miles per hour?
| 600 miles | |
| 50 miles | |
| 520 miles | |
| 60 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 = \( 20mph \times 3h \)
60 miles
What is -8c2 + 2c2?
| -6c-4 | |
| -6c4 | |
| -6c2 | |
| -10c-2 |
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:
-8c2 + 2c2
(-8 + 2)c2
-6c2
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 32 | |
| 36 | |
| 29 | |
| 37 |
The equation for this sequence is:
an = an-1 + 7
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 + 7
a6 = 29 + 7
a6 = 36
A tiger in a zoo has consumed 12 pounds of food in 2 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 54 pounds?
| 7 | |
| 4 | |
| 5 | |
| 6 |
If the tiger has consumed 12 pounds of food in 2 days that's \( \frac{12}{2} \) = 6 pounds of food per day. The tiger needs to consume 54 - 12 = 42 more pounds of food to reach 54 pounds total. At 6 pounds of food per day that's \( \frac{42}{6} \) = 7 more days.