| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
If there were a total of 100 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?
| 19% | |
| 15% | |
| 7% | |
| 16% |
You have 7 out of the total of 100 raffle tickets sold so you have a (\( \frac{7}{100} \)) x 100 = \( \frac{7 \times 100}{100} \) = \( \frac{700}{100} \) = 7% chance to win the raffle.
A tiger in a zoo has consumed 44 pounds of food in 4 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 110 pounds?
| 4 | |
| 8 | |
| 6 | |
| 7 |
If the tiger has consumed 44 pounds of food in 4 days that's \( \frac{44}{4} \) = 11 pounds of food per day. The tiger needs to consume 110 - 44 = 66 more pounds of food to reach 110 pounds total. At 11 pounds of food per day that's \( \frac{66}{11} \) = 6 more days.
Bob loaned April $900 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?
| $945 | |
| $927 | |
| $918 | |
| $981 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $900
i = 0.03 x $900
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $900 + $27What is \( \frac{7b^5}{4b^3} \)?
| 1\(\frac{3}{4}\)b15 | |
| 1\(\frac{3}{4}\)b2 | |
| 1\(\frac{3}{4}\)b\(\frac{3}{5}\) | |
| 1\(\frac{3}{4}\)b8 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{7b^5}{4b^3} \)
\( \frac{7}{4} \) b(5 - 3)
1\(\frac{3}{4}\)b2
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
absolute value |
|
least common factor |
|
greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.