Answer:
x = 1/3
Step-by-step explanation:
8x –3(5x–2)=7–10x
Distribute
8x - 15x +6 = 7-10x
Combine like terms
-7x + 6 = 7- 10x
Add 10x to each side
-7x +10x+ 6 = 7- 10x+10x
3x+6 = 7
Subtract 6 from each side
3x+6-6 =7-6
3x = 1
Divide each side by 3
3x/3 = 1/3
x = 1/3
Step-by-step explanation:
solved in the picture....
Ms. Pacheco = P
Mr. Richards = R
Mr. Edwards = E
P = R + 3
E = 2R
R + E = 81
81 = R + 2R
81 = 3R
81 ÷ 3 = R
R = 27
P = R + 3
P = 27 + 3
P = 30
E = 2R
E = 2×27
E = 54
The answer: " x = 68, y = 72 " .
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Explanation:
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46 + (x - 3) + (y - 3) = 180 .
46 + 1(x - 3) + 1(y-3) = 180 .
46 + 1x - 3 + 1y - 3 = 180 .
46 - 3 - 3 + 1x + 1y = 180 .
40 + x + y = 180 ;
Subtract "40" from EACH SIDE of the equation:
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40 + x + y - 40 = 180 - 40 ;
to get:
x + y = 140 ;
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Now:
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65 = (x - 3) ;
↔ x - 3 = 65 ;
Add "3" to EACH SIDE of the equation;
x - 3 + 3 = 65 + 3 ;
to get:
x = 68 .
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Now:
Since: "x + y = 140" ;
Let us plug in our known value, "68" ; for "x" ;
to solve for "y" ;
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x + y = 140 ;
68 + y = 140 ;
↔ y + 68 = 140 ;
Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
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y + 68 - 68 = 140 = 68 ;
y = 72 .
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So, solve for "x" and "y".
x = 68, y = 72 .
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Given, Customers pay $4 to enter the pumpkin patch.
And also given, customers pay $3 per pound for the pumpkins.
Given, $y be the total cost and there are x pounds of pumpkins.
The cost for pumpkin per pound = $3.
Therefore, the cost for x pound pumpkins = $(3x)
As the total cost includes the payment for entering the patch also,
So the total cost y = 3x + 4
We have got the required equation.
The equation to model the total cost is y = 3x+4.
