| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 31,000 seats in a stadium are filled, how many home fans are in attendance?
| 29,250 | |
| 36,800 | |
| 37,600 | |
| 20,667 |
A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:
31,000 fans x \( \frac{2}{3} \) = \( \frac{62000}{3} \) = 20,667 fans.
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 62 | |
| 58 | |
| 60 | |
| 61 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
Bob loaned Latoya $1,000 at an annual interest rate of 6%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,050 | |
| $1,060 | |
| $1,010 | |
| $1,030 |
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 $1,000
i = 0.06 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $60A bread recipe calls for 2\(\frac{3}{4}\) cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?
| 1\(\frac{5}{8}\) cups | |
| 2\(\frac{1}{4}\) cups | |
| 3\(\frac{5}{8}\) cups | |
| 2 cups |
The amount of flour you need is (2\(\frac{3}{4}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{22}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups
What is the distance in miles of a trip that takes 2 hours at an average speed of 75 miles per hour?
| 400 miles | |
| 125 miles | |
| 120 miles | |
| 150 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 = \( 75mph \times 2h \)
150 miles