Answer:the length of the rectangle is 28
The width of the rectangle is 16
Step-by-step explanation:
The given equations are set up to determine the dimensions of a rectangle. L represents the length of the rectangle. W represents the width of the rectangle. Let us label
2L + 2W = 88 as equation 1.
We would substitute L = W + 12 into equation 1, it becomes
2(W + 12) + 2W = 88
2W + 24 + 2W = 88
4W + 24 = 88
4W = 88 - 24 = 64
W = 64/4 = 16
Substituting W = 16 into L = W + 12, it becomes
L = 16 + 12 = 28
Answer:
102 gallons of 55% antifreeze
68 gallons of 80% antifreeze
Step-by-step explanation:
55% antifreeze: x
80% antifreeze: y
x + y = 170 ===> -.55(x + y = 170) ===> -.55x - .55y = -93.5
.55x + .80y = .65(170) ===> .55x + .80y = 110.5
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add the two equations to eliminate a variable: 0.25y = 17
divide by 0.25 to isolate y: y = 68
substitution to find x:
x + y = 170
x + 68 = 170
x = 102
Y = 3/4x - 5/2...subtract 3/4x from both sides
-3/4x + y = -5/2....multiply both sides by -4
3x - 4y = 10 <===
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x + 4y = 12....subtract x from both sides
4y = -x + 12...divide both sides by 4
y = 1/4x + 3 <==
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y = 1/2x.....this will be going thru the origin (0,0)....so start at (0,0)...and since it has a slope of 1/2, go up 1 space and to the right 2 spaces...plot that point...then up 1 and to the right 2...plot that point...keep doing this....and then just connect ur plotted points and u will have ur line
Answer: If p = a number is negative and q = the additive inverse is positive, the original statement is p → q
Step-by-step explanation: if the statement said if the statement was a number is not a negative and the additive inverse is positive, it would not have been the same.
hope this helped! please mark me brainiest.
