| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
A bread recipe calls for 2\(\frac{5}{8}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
| 1 cups | |
| 1\(\frac{1}{2}\) cups | |
| 1\(\frac{7}{8}\) cups | |
| 1\(\frac{3}{8}\) cups |
The amount of flour you need is (2\(\frac{5}{8}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{21}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{8}{8} \) cups
1 cups
What is the distance in miles of a trip that takes 7 hours at an average speed of 55 miles per hour?
| 70 miles | |
| 480 miles | |
| 200 miles | |
| 385 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 = \( 55mph \times 7h \)
385 miles
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 46 | |
| 43 | |
| 50 | |
| 53 |
The equation for this sequence is:
an = an-1 + 3(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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
a = 7 or a = -7 |
|
a = 7 |
|
none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
9 members of a bridal party need transported to a wedding reception but there are only 2 2-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 5 | |
| 3 | |
| 7 |
There are 2 2-passenger taxis available so that's 2 x 2 = 4 total seats. There are 9 people needing transportation leaving 9 - 4 = 5 who will have to find other transportation.