X=number of plates
y=number of cups
4x+5y=25.25
7x+3y=25.50
Add the two equations together:
11x+8y=50.75
11x=50.75-8y
x=
![\frac{50.75-8y}{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7B50.75-8y%7D%7B11%7D%20)
Plug x into the first equation:
4x+5y=25.25
4(
![\frac{50.75-8y}{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7B50.75-8y%7D%7B11%7D%20)
) = 25.25
![\frac{4(50.75-8y)}{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%2850.75-8y%29%7D%7B11%7D%20)
= 25.25
![\frac{203-32y}{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7B203-32y%7D%7B11%7D%20)
= 25.25
203-32y = 277.75
-32y=74.75
32y=-74.45
y=2.34 (rounded to nearest hundredth)
The price of a plate is $2.34
Answer is option b)38.5 sq.units
Given vertices are A(-4,2) ,B(3,2),C(3,-5) and D(-4,-2)
Area of polygon is defined in the image.
If you have any doubts see the image or ask in comments box.
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The answer is 33. Because the factors of 33 are 1,3,11,and 33
Take a clearer picture than I can help you