Answer:
84.5%
Step-by-step explanation:
1400 - 1182 = 218 You are less 218 lbs. of food.
218 ÷ 1400 = 15.5% You are less 15.5% lbs. of food.
100% - 15.5% = 84.5% You have 84.5% lbs if food left.
Answer:
1)0.5825
6.99/12=0.5825
2)0.6
3.00/5=0.6
Step-by-step explanation:
Answer:
13y + 12 + x
Step-by-step explanation:
So your problem is 12y + 4 + x - 7y + 8 + 8y.
What you want to do first is line the variables up, so line the y's up, and then line the number without the variables, and then the x can go at the end.
So now you should have 12y - 7y + 8y + 4 + 8 + x
After that, you want to subtract 7y from 12y which gets you 5y.
So now it should look like 5y + 8y + 4 + 8 + x
After that, add 8y and 5y together to get 13y
13y + 4 + 8 +x
Add the 4 and the 8
13y + 12 + x
And that should be your answer
Answer:
264 with a remainder of 4
Step-by-step explanation:
We have two widths of the same length plus one length
Let the width be
![w](https://tex.z-dn.net/?f=w)
and the length be
![l](https://tex.z-dn.net/?f=l)
Perimeter = 2×width + 2×length
![380 = 2(w+l)](https://tex.z-dn.net/?f=380%20%3D%202%28w%2Bl%29)
![190 = w+l](https://tex.z-dn.net/?f=190%20%3D%20w%2Bl)
(equation 1)
The cost is $5 per foot on the width and $25 per foot on the length
Total cost = (5 × 2 × width) + (25 × length)
![3625 = 10w + 25l](https://tex.z-dn.net/?f=3625%20%3D%2010w%20%2B%2025l)
(equation 2)
We have two variables that we need to solve, so we will need to use the simultaneous equations method (either elimination or substitution)
Since equation 1 is given
![190 = w + l](https://tex.z-dn.net/?f=190%20%3D%20w%20%2B%20l)
, we can rearrange the equation to make
![l](https://tex.z-dn.net/?f=l)
the subject
![l=190-w](https://tex.z-dn.net/?f=l%3D190-w)
then substitute this into equation 2
![3625 = 10w + 25l](https://tex.z-dn.net/?f=3625%20%3D%2010w%20%2B%2025l)
![3625=10w + 25(190-w)](https://tex.z-dn.net/?f=3625%3D10w%20%2B%2025%28190-w%29)
![3625=10w+4750-25w](https://tex.z-dn.net/?f=3625%3D10w%2B4750-25w)
![3625=-15w+4750](https://tex.z-dn.net/?f=3625%3D-15w%2B4750)
![15w = 4750 - 3625](https://tex.z-dn.net/?f=15w%20%3D%204750%20-%203625)
![15w = 1125](https://tex.z-dn.net/?f=15w%20%3D%201125)
![w = 1125/15](https://tex.z-dn.net/?f=w%20%3D%201125%2F15)
![w = 75](https://tex.z-dn.net/?f=w%20%3D%2075)
Substitute w = 75 back into 190 = w + l
190 = 75 + l
l = 190 - 75
l = 115
Answer:
Length = 115 feet
Width = 75 feet