| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
Bob loaned Monty $1,200 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $72 | |
| $32 | |
| $108 | |
| $20 |
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 $1,200
i = 0.09 x $1,200
i = $108
How many 1 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?
| 7 | |
| 8 | |
| 4 | |
| 4 |
To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:
cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for multiplication |
|
commutative property for division |
|
distributive property for division |
|
distributive property for multiplication |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 35,000 seats in a stadium are filled, how many home fans are in attendance?
| 26,250 | |
| 37,500 | |
| 31,200 | |
| 30,833 |
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:
35,000 fans x \( \frac{3}{4} \) = \( \frac{105000}{4} \) = 26,250 fans.
If a car travels 180 miles in 4 hours, what is the average speed?
| 45 mph | |
| 55 mph | |
| 75 mph | |
| 50 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)