| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
What is the distance in miles of a trip that takes 8 hours at an average speed of 15 miles per hour?
| 60 miles | |
| 450 miles | |
| 120 miles | |
| 75 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 = \( 15mph \times 8h \)
120 miles
A bread recipe calls for 2 cups of flour. If you only have 1\(\frac{3}{4}\) cups, how much more flour is needed?
| 1 cups | |
| 2\(\frac{1}{2}\) cups | |
| \(\frac{1}{4}\) cups | |
| 1\(\frac{3}{4}\) cups |
The amount of flour you need is (2 - 1\(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{14}{8} \)) cups
\( \frac{2}{8} \) cups
\(\frac{1}{4}\) cups
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50% larger than the original. By what percentage has the area of the logo increased?
| 25% | |
| 37\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 35% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 50% the radius (and, consequently, the total area) increases by \( \frac{50\text{%}}{2} \) = 25%
Which of the following statements about exponents is false?
b1 = 1 |
|
b1 = b |
|
all of these are false |
|
b0 = 1 |
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).
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Monty buys two shirts, each with a regular price of $42, how much money will he save?
| $4.20 | |
| $14.70 | |
| $16.80 | |
| $12.60 |
By buying two shirts, Monty will save $42 x \( \frac{35}{100} \) = \( \frac{$42 x 35}{100} \) = \( \frac{$1470}{100} \) = $14.70 on the second shirt.