| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
Find the average of the following numbers: 13, 9, 13, 9.
| 16 | |
| 6 | |
| 11 | |
| 8 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{13 + 9 + 13 + 9}{4} \) = \( \frac{44}{4} \) = 11
What is \( \frac{7}{6} \) - \( \frac{6}{14} \)?
| \(\frac{31}{42}\) | |
| 2 \( \frac{1}{42} \) | |
| 1 \( \frac{4}{13} \) | |
| 1 \( \frac{6}{12} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{7 x 7}{6 x 7} \) - \( \frac{6 x 3}{14 x 3} \)
\( \frac{49}{42} \) - \( \frac{18}{42} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{49 - 18}{42} \) = \( \frac{31}{42} \) = \(\frac{31}{42}\)
A tiger in a zoo has consumed 64 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 112 pounds?
| 14 | |
| 6 | |
| 13 | |
| 7 |
If the tiger has consumed 64 pounds of food in 8 days that's \( \frac{64}{8} \) = 8 pounds of food per day. The tiger needs to consume 112 - 64 = 48 more pounds of food to reach 112 pounds total. At 8 pounds of food per day that's \( \frac{48}{8} \) = 6 more days.
Bob loaned April $900 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?
| $963 | |
| $981 | |
| $909 | |
| $972 |
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 = 0.07 x $900
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $900 + $63Which of the following is a mixed number?
\({7 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.