Answer:
Step-by-step explanation:
Given:
To find: points of intersection of the given lines
Solution:
In substitution method, the system of equations is solved by expressing one variable in terms of another, as a result, removing one variable from an equation.
Put 
in the equation 
![2x+8y=7\\2[\frac{1+2y}{5}]+8y=7\\ 2+4y+40y=35\\44y=35-2\\44y=33\\y=\frac{33}{44}\\ =\frac{3}{4}](https://tex.z-dn.net/?f=2x%2B8y%3D7%5C%5C2%5B%5Cfrac%7B1%2B2y%7D%7B5%7D%5D%2B8y%3D7%5C%5C%202%2B4y%2B40y%3D35%5C%5C44y%3D35-2%5C%5C44y%3D33%5C%5Cy%3D%5Cfrac%7B33%7D%7B44%7D%5C%5C%20%3D%5Cfrac%7B3%7D%7B4%7D)
Put 
in the equation
![x=\frac{1+2y}{5}\\=\frac{1}{5}[1+2(\frac{3}{4})]\\=\frac{1}{5}[1+(\frac{3}{2})]\\\\=\frac{1}{5}(\frac{2+3}{2}) \\\\=\frac{1}{5}(\frac{5}{2})\\\\=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%2B2y%7D%7B5%7D%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%5B1%2B2%28%5Cfrac%7B3%7D%7B4%7D%29%5D%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%5B1%2B%28%5Cfrac%7B3%7D%7B2%7D%29%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%28%5Cfrac%7B2%2B3%7D%7B2%7D%29%20%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%28%5Cfrac%7B5%7D%7B2%7D%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore,
Volume=legnth times width times height
convert all to iimporper fractions first for ease
1 and 1/3=1+1/3=3/3+1/3=4/3
1 and 5/8=1+5/8=8/8+5/8=13/8
4 and 1/2=4+1/2=8/2+1/2=9/2
multiply them
volume=(4/3) times (13/8) times (9/2)
volume=(4 times 13 times 9)/(3 times 8 times 2)
volume=468/48
volume=39/4
volume=9 and 3/4 cubic feet
Answer:
The triangle is isosceles.
Step-by-step explanation:
This means that one angle's sine is the same as the other's cosine.
Answer:
22ft
Step-by-step explanation:
Answer:
cost for (not per) 1 sq ft. floor: $84.79
y = total costs
x = sq ft of flooring
y = x4.79 + 80.00
Step-by-step explanation:
i this equation, y = the total cost wile x = square ft. of flooring
to find out the price when we know that 60 sq ft is $287.00 without the instalation fee, all we have to do is divide 287.00 by 60
287 / 60 = 4.79
so we now know how much 1 sq ft. costs, but to implament it into an equation we need to multiply it by the amount of flooring, so we let x be the number of sq ft used
now all we have to do is add the instalation fee, no, we literally add it in the equation at the end, so that it is added after we multiply by sq ft (not before) then after we calculate that, we get the total cost for x sq ft of flooring, or y
hope this answers your question
