| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
What is the distance in miles of a trip that takes 6 hours at an average speed of 50 miles per hour?
| 65 miles | |
| 300 miles | |
| 210 miles | |
| 105 miles |
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 distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 50mph \times 6h \)
300 miles
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 31,000 seats in a stadium are filled, how many home fans are in attendance?
| 29,250 | |
| 33,600 | |
| 25,833 | |
| 36,000 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
31,000 fans x \( \frac{5}{6} \) = \( \frac{155000}{6} \) = 25,833 fans.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Bob buys two shirts, each with a regular price of $15, how much will he pay for both shirts?
| $21.75 | |
| $17.25 | |
| $15.75 | |
| $23.25 |
By buying two shirts, Bob will save $15 x \( \frac{45}{100} \) = \( \frac{$15 x 45}{100} \) = \( \frac{$675}{100} \) = $6.75 on the second shirt.
So, his total cost will be
$15.00 + ($15.00 - $6.75)
$15.00 + $8.25
$23.25
Which of the following is not an integer?
-1 |
|
1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
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.