| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
| 2\(\frac{1}{4}\) cups | |
| 2\(\frac{1}{8}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 1 cups |
The amount of flour you need is (3\(\frac{1}{4}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups
Which of the following statements about exponents is false?
all of these are false |
|
b0 = 1 |
|
b1 = 1 |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 46,000 seats in a stadium are filled, how many home fans are in attendance?
| 28,000 | |
| 34,500 | |
| 30,750 | |
| 31,200 |
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:
46,000 fans x \( \frac{3}{4} \) = \( \frac{138000}{4} \) = 34,500 fans.
In a class of 26 students, 9 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 8 are taking both courses. How many students are not enrolled in either course?
| 24 | |
| 22 | |
| 19 | |
| 10 |
The number of students taking German or Spanish is 9 + 15 = 24. Of that group of 24, 8 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 24 - 8 = 16 who are taking at least one language. 26 - 16 = 10 students who are not taking either language.
What is the distance in miles of a trip that takes 6 hours at an average speed of 60 miles per hour?
| 210 miles | |
| 360 miles | |
| 75 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 = \( 60mph \times 6h \)
360 miles