| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Which of the following is not an integer?
1 |
|
-1 |
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0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
A tiger in a zoo has consumed 120 pounds of food in 10 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 156 pounds?
| 5 | |
| 2 | |
| 3 | |
| 12 |
If the tiger has consumed 120 pounds of food in 10 days that's \( \frac{120}{10} \) = 12 pounds of food per day. The tiger needs to consume 156 - 120 = 36 more pounds of food to reach 156 pounds total. At 12 pounds of food per day that's \( \frac{36}{12} \) = 3 more days.
a(b + c) = ab + ac defines which of the following?
distributive property for division |
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commutative property for division |
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commutative property for multiplication |
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distributive property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
If the ratio of home fans to visiting fans in a crowd is 2:1 and all 34,000 seats in a stadium are filled, how many home fans are in attendance?
| 22,667 | |
| 33,600 | |
| 29,600 | |
| 36,000 |
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:
34,000 fans x \( \frac{2}{3} \) = \( \frac{68000}{3} \) = 22,667 fans.
Which of these numbers is a factor of 48?
| 49 | |
| 14 | |
| 4 | |
| 43 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.