| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 54 | |
| 48 | |
| 52 | |
| 46 |
The equation for this sequence is:
an = an-1 + 9
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 + 9
a6 = 37 + 9
a6 = 46
Which of the following statements about exponents is false?
b1 = b |
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b0 = 1 |
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all of these are false |
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b1 = 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).
The total water usage for a city is 20,000 gallons each day. Of that total, 13% is for personal use and 39% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,800 | |
| 11,550 | |
| 10,000 | |
| 5,200 |
39% of the water consumption is industrial use and 13% is personal use so (39% - 13%) = 26% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{26}{100} \) x 20,000 gallons = 5,200 gallons.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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integer |
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fraction |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 25:2 | |
| 1:4 | |
| 7:1 | |
| 1:8 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.