The value of y using the substitution method is 6.
There are two given equations:
3x + 4y = 36 equation 1
2x - y = 2 equation 2
In order to use the substitution method, make y the subject of the formula in equation 24
2x - 2 = y
Substitute for y in equation 1
3x + 4(2x -2) = 36
3x + 8x - 8 = 36
Combine similar terms
11x = 36 + 8
11x = 44
Divide both sides by 11
x = 4
Substitute for x in equation 2
2(4) - y = 2
8 - y = 2
y = 6
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9514 1404 393
Answer:
397.76 cm^2
Step-by-step explanation:
The area of the shaded region is the rectangle area less the area of the circle with diameter 8 cm. The area of the rectangle is
A = LW . . . . for length L and width W
The area of the circle is ...
A = π/4d^2 . . . . . for diameter d
Then the shaded area is ...
A = (28 cm)(16 cm) - (π/4)(8 cm)^2 = 448 cm^2 -50.24 cm^2
A = 397.76 cm^2
Answer: There are of flour she would use altogether.
Step-by-step explanation:
Since we have given that
Amount used by her to make the cake =
Amount used to bake the cookies =
So, the number of cups of flour is given by
Hence, there are of flour she would use altogether.
Answer:
Inverse Property of Addition
Step-by-step explanation:
Any problems that will go into the inverse property of addition must equal 0. In this case, the equation above shows two of the same numbers with opposite signs in which that will equal to zero.
Answer:
120 feet by 100 feet
Step-by-step explanation:
6 divided by .5 equals 12. Multiply 12 times 10 to get the length of 120 feet.
5 divided by .5 equals 10. Multiply 10 times 10 to get the width of 100 feet.
I hope this helps! If you need further explanation let me know.