| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 61 | |
| 67 | |
| 64 | |
| 60 |
The equation for this sequence is:
an = an-1 + 4(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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
If all of a roofing company's 15 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 8 | |
| 12 | |
| 6 | |
| 11 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 15 workers at the company now and that's enough to staff 5 crews so there are \( \frac{15}{5} \) = 3 workers on a crew. 7 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 7 x 3 = 21 total workers to staff the crews during the busy season. The company already employs 15 workers so they need to add 21 - 15 = 6 new staff for the busy season.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Ezra buys two shirts, each with a regular price of $39, how much will he pay for both shirts?
| $3.90 | |
| $54.60 | |
| $50.70 | |
| $74.10 |
By buying two shirts, Ezra will save $39 x \( \frac{10}{100} \) = \( \frac{$39 x 10}{100} \) = \( \frac{$390}{100} \) = $3.90 on the second shirt.
So, his total cost will be
$39.00 + ($39.00 - $3.90)
$39.00 + $35.10
$74.10
The total water usage for a city is 10,000 gallons each day. Of that total, 10% is for personal use and 32% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,650 | |
| 2,200 | |
| 1,400 | |
| 6,000 |
32% of the water consumption is industrial use and 10% is personal use so (32% - 10%) = 22% more water is used for industrial purposes. 10,000 gallons are consumed daily so industry consumes \( \frac{22}{100} \) x 10,000 gallons = 2,200 gallons.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
|
associative |
|
distributive |
|
commutative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.