Answer:
x=8g/3(k+d)
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Hope this helps
Answer:
(a) 
(b) 
Step-by-step explanation:
Given
Solving (a): Simplify
Open brackets
Collect Like Terms
Simplify Like Terms
Solving (b): Simplify when a = 2 and b = -1
Hence:
Answer:
the answer is $8.29
Step-by-step explanation:
1.60 marked up by 60% in decimal form is .60
multiply that .60 by 1.60 and you get .64
you add .64 to 1.60 and you get 2.56
you multiply 2.56 by 3 and you get 7.68
you have a 8% sales tax so you multiply 0.08 by 7.68
you will get .61 you add that to 7.68 to get $8.29
Answer:
1. x = 15 in
2. x = 8 m
Step-by-step explanation:
1. Given:
length = 10 in
width = 3 in
height = x in
surface area of the rectangular prism = its volume
Required:
Value of x
Area = 2(wl + hl + hw)
Volume = l*w*h
Therefore:
2(3*10 + x*10 + x*3) = 10*3*x
2(30 + 10x + 3x) = 30x
2(30 + 13x) = 30x
60 + 26x = 30x
Subtract 26x from both sides
60 + 26x - 26x = 30x - 26x
60 = 4x
Divide both sides by 4
60/4 = 4x/4
15 = x
x = 15 in
2. Given:
length = 8 m
width = 4 m
height = x m
surface area of the rectangular prism = its volume
Required:
Value of x
Area = 2(wl + hl + hw)
Volume = l*w*h
Therefore:
2(4*8 + x*8 + x*4) = 8*4*x
2(32 + 8x + 4x) = 32x
2(32 + 12x) = 32x
64 + 24x = 32x
Subtract 24x from both sides
64 + 24x - 24x = 32x - 24x
64 = 8x
Divide both sides by 8
64/8 = 8x/8
8 = x
x = 8 m
