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rleiphart1
20.03.2022 •
Mathematics
Use the information to answer the question.
Three vertices of a square are shown on the grid.
y
6
1
.
o
1
2
3
4
What are the coordinates of the missing vertex? Enter the answer in the boxes.
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Ответ:
i think the answer would be 90 cents for each brownie
Step-by-step explanation:
This can be solved as a system of 2 linear equations.
x = price of a brownie
y = price of a cookie
Since $5.70 bought 3 brownies and 5 cookies, our first equation is:
3x + 5y = 5.70
Since $4.50 bought 1 brownie and 6 cookies, our second equation is:
x + 6y = 4.50
So just solve the following system for x and y:
3x + 5y = 5.7
x + 6y = 4.5
Get x = 4.5 - 6y from the bottom equation and substitute for x in the top equation:
3(4.5 - 6y) + 5y = 5.7
Solve for y:
13.5 - 18y + 5y = 5.7
-13y = -7.8
y = 7.8/13 = 0.6 = price of cookie = $0.60
Now substitute this value of y into either equation and get x. From the bottom equation,
x + 6(0.60) = 4.50
Solve for x:
x = 0.9 = price of brownie = $0.90