A.) 160-y=146
B.) Dependent:160 Independent:y
C.)146 Characters.
Answer:
x=4
y=3
Step-by-step explanation:
-0.8x+1.3y=0.7,3.2x−2.5y=5.3
-0.8x+1.3y=0.7
x=−1.25(−1.3y+0.7)
x=1.625y−0.875
3.2(1.625y−0.875)−2.5y=5.3
5.2y−2.8−2.5y=5.3
2.7y−2.8=5.3
2.7y=8.1
y=3
x=1.625×3−0.875
x=<u> </u><u>39-7</u><u> </u>
8
x=4
The height must be 12.8.
We first find the volume of paint in the larger can. The formula for the volume of a cylinder is V=πr²h. Using the radius and height of the large can, we have
V=3.14(8²)(20) = 4019.2
Since he has 1/4 of the can left, he has 4019.2/4 = 1004.8 cm³ of paint.
Using this volume and the dimensions of the smaller can, we work backward to find the height of the paint in the can:
1004.8 = 3.14(5²)h
1004.8 = 78.5h
Divide both sides by 78.5:
1004.8/78.5 = 78.5h/78.5
12.8 = h