Jose earned 50 points in a video game he lost 40 points,earned 87 points write and evaluate an expression to find his final scor
2 answers:
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By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3
After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
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<u>Answer-</u>
Set of constraints to model the problem are,
<u>Solution-</u>
<em>x = the number of lawns weeded by Gwen,</em>
<em>y = the number of dogs walked by Fabio.</em>
1.
As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,
They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.
The equation for this is,
2.
The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means
y must be less than or equal to 2x.
The equation for this is,
3.
Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.
The equation for this is,