| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
Which of these numbers is a factor of 28?
| 16 | |
| 28 | |
| 22 | |
| 19 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.
Simplify \( \frac{40}{76} \).
| \( \frac{5}{12} \) | |
| \( \frac{9}{11} \) | |
| \( \frac{9}{19} \) | |
| \( \frac{10}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{40}{76} \) = \( \frac{\frac{40}{4}}{\frac{76}{4}} \) = \( \frac{10}{19} \)
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 44,000 seats in a stadium are filled, how many home fans are in attendance?
| 38,333 | |
| 21,333 | |
| 33,000 | |
| 25,500 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
44,000 fans x \( \frac{3}{4} \) = \( \frac{132000}{4} \) = 33,000 fans.
Monty loaned Betty $1,300 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,391 | |
| $1,365 | |
| $1,313 | |
| $1,326 |
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 $1,300
i = 0.01 x $1,300
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,300 + $13What is -8x2 - x2?
| -9x-2 | |
| 9x2 | |
| -9x2 | |
| -7x-4 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-8x2 - 1x2
(-8 - 1)x2
-9x2