| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
Monty loaned Alex $1,100 at an annual interest rate of 4%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $44 | |
| $60 | |
| $9 | |
| $24 |
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 $1,100
i = 0.04 x $1,100
i = $44
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({2 \over 5} \) |
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.
How many hours does it take a car to travel 180 miles at an average speed of 60 miles per hour?
| 6 hours | |
| 3 hours | |
| 9 hours | |
| 8 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{180mi}{60mph} \)
3 hours
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common factor |
|
least common multiple |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \frac{9}{5} \) + \( \frac{6}{7} \)?
| \( \frac{7}{15} \) | |
| 2\(\frac{23}{35}\) | |
| 1 \( \frac{7}{35} \) | |
| 2 \( \frac{9}{15} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [35, 70] making 35 the smallest multiple 5 and 7 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{9 x 7}{5 x 7} \) + \( \frac{6 x 5}{7 x 5} \)
\( \frac{63}{35} \) + \( \frac{30}{35} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{63 + 30}{35} \) = \( \frac{93}{35} \) = 2\(\frac{23}{35}\)