| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.99 |
| Score | 0% | 80% |
What is the next number in this sequence: 1, 5, 9, 13, 17, __________ ?
| 12 | |
| 21 | |
| 22 | |
| 15 |
The equation for this sequence is:
an = an-1 + 4
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 + 4
a6 = 17 + 4
a6 = 21
What is (y5)2?
| y10 | |
| y7 | |
| 2y5 | |
| y3 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y5)2What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 31 | |
| 32 | |
| 33 | |
| 27 |
The equation for this sequence is:
an = an-1 + 2(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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
How many 9-passenger vans will it take to drive all 45 members of the football team to an away game?
| 5 vans | |
| 3 vans | |
| 9 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{45}{9} \) = 5
Simplify \( \frac{28}{80} \).
| \( \frac{5}{12} \) | |
| \( \frac{2}{5} \) | |
| \( \frac{7}{20} \) | |
| \( \frac{5}{19} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{80} \) = \( \frac{\frac{28}{4}}{\frac{80}{4}} \) = \( \frac{7}{20} \)