Answer:
These two equations are equivalent because the order of operations states you work from the right to the left and do the multiplication first. Because we do the multiplication first, we get the same answer as the other equation because the parentheses are also done first, meaning these equations both get the same answer.
Step-by-step explanation:
1.
He fills 5/6 lb per bag.
If he fills up 6 bags, he will use 6 * 5/6 lb = 5 lb.
Since he gets peanuts in 2-lb bags, he'd use 2 1/2 2-lb bags.
If he fills double that amount, 10 5/6-lb bags, he will use 10 lb of peanuts which is exactly 5 2-lb bags.
Answer: He should buy 5 2-lb bags.
2.
Each board has length x.
He cuts 3/5 of the length.
Each leftover piece is 2/5 of the length, or 2/5 x.
When he puts together several of the leftover pieces, he has 4 times the length of the original board, or 4x.
4x/(2/5 x) = 4x * 5/2 x = 10x
He has cut 10 boards.
Answer:
The new price = $718. 8
Step-by-step explanation:
Original Price = $599
Given that the increase is 20%.
i.e.
Thus,
The amount of 20% Percentage increase = 20/100 × 599
= 0.2 × 599
= $119.8
Therefore,
New price = Original price + 20% increase amount
= 599 + 119.8
= $718. 8
Therefore, the new price = $718. 8
Answer:
- 5/6
- 1/3
Step-by-step explanation:
Answer:
43°
Step-by-step explanation:
The first thing you should do is make the equation. We should know that the sum of all the angles is 180. So it should look like this...

Combine like terms:

Subtract the 137 on both sides:

That's it the value of v is 43°.