Answer:
Step-by-step explanation:
<u>This is a sum of the first n terms of an AP:</u>
<u>The true sum is between 92 and 145:</u>
- 92 < n(n + 1)/2 < 145
- 184 < n(n + 1) < 290
- 184 < n² + n < 290
- 185 < (n + 1/2)² < 291
- √185 < n + 1/2 < √291
- 14 ≤ n < 17
<u>Let n = 14</u>
<u>Let n = 15</u>
<u>Let n = 16</u>
Answer: 1/2 indefinite
Step-by-step explanation:
Uhhh I think it'd be C and... probably A or D. I'm not 100% sure, but if I was taking the test, that is what I would choose.
Answer:
That equation is using associative property : )
Step-by-step explanation:
In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=". The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English, any equality is an equation.
Answer:
32 weeks.
Step-by-step explanation:
Let w represent number of weeks.
We have been given that the new plan will have the office recycling 1 kilogram of paper each week. So kilograms of paper recycled in w weeks would be 
.
We are also told that Toby's office had already recycled 7 kilograms. So total kilogram of paper recycled in w weeks would be 
.
Since Toby's office has to recycle a total of 39 kilograms of paper, so we will equate 39 with paper recycled in w weeks as:
Therefore, it will take 32 weeks for Toby's office to recycle a total of 39 kilograms of paper.
