| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 46 | |
| 41 | |
| 52 | |
| 37 |
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
A factor is a positive __________ that divides evenly into a given number.
integer |
|
improper fraction |
|
mixed number |
|
fraction |
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.
Solve 5 + (5 + 3) ÷ 3 x 3 - 42
| \(\frac{4}{7}\) | |
| \(\frac{2}{9}\) | |
| 1 | |
| -3 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (5 + 3) ÷ 3 x 3 - 42
P: 5 + (8) ÷ 3 x 3 - 42
E: 5 + 8 ÷ 3 x 3 - 16
MD: 5 + \( \frac{8}{3} \) x 3 - 16
MD: 5 + \( \frac{24}{3} \) - 16
AS: \( \frac{15}{3} \) + \( \frac{24}{3} \) - 16
AS: \( \frac{39}{3} \) - 16
AS: \( \frac{39 - 48}{3} \)
\( \frac{-9}{3} \)
-3
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 46,000 seats in a stadium are filled, how many home fans are in attendance?
| 32,000 | |
| 24,000 | |
| 36,800 | |
| 28,500 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
46,000 fans x \( \frac{4}{5} \) = \( \frac{184000}{5} \) = 36,800 fans.
What is \( \frac{2c^9}{4c^4} \)?
| \(\frac{1}{2}\)c13 | |
| \(\frac{1}{2}\)c5 | |
| \(\frac{1}{2}\)c\(\frac{4}{9}\) | |
| \(\frac{1}{2}\)c2\(\frac{1}{4}\) |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{2c^9}{4c^4} \)
\( \frac{2}{4} \) c(9 - 4)
\(\frac{1}{2}\)c5