First is to get the given data that we might be able to use for computation.
H = 8 inches
Area = 96
B1 = B1
B2 = B1+6
Next is to know the area of a trapezoid
Area = H x (B1 + B2)/2
96 = 8 x (B1 + B1 + 6) / 2
96 = 8 x (2B1 + 6) /2
96 = 4 x (2B1 + 6)
14 = 2B1 + 6
2B1 = 8
B1 = 4
B2 = 10
Answer:
T=14
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
(2/3)n - 6 = 2
Add 6 to both sides.
(2/3)n = 8
Divide by 2/3.
n = 9 / (2/3)
n = 27/2, or 13.5
f(g(x) ) = -2(3x²+5x+14) +10
= -3x²-10x- 28+10
= -3x²-10x -18
Answer:
112.5 mL
Step-by-step explanation:
Let x represent the amount of grape juice to add. Then the total amount of grape juice in the mix is ...
0.15(1800) +x = 0.20(1800+x)
270 +x = 360 + 0.2x . . . . . . eliminate parentheses
0.8x = 90 . . . . . . . . . . . . . . . subtract 270+0.2x
x = 90/0.8 = 112.5 . . . . . . . . divide by the coefficient of x
112 mL of grape juice should be added to make a mix that is 20% grape juice.