We claim that the ratio of the areas is (3/2)^3=27/8, not just for these lengths, but also for every possible set of side-lengths x, y, and z.
To find the volume of the area of the original suitcase, multiply together x, y, and z to get xyz. The modified suitcase will have all these dimensions multiplied by 1 1/2, or 3/2, for a result of 3x/2*3y/x*3z/2=27xyz/8. The ratio is (27xyz/8)/(xyz)=27/8, as desired.
Note that we made no assumptions about the value of x, y, and z throughout the whole solution! Therefore, we can plug ANY side-lengths, including the problem's set (28, 16, 8) into this problem to achieve the same ratio.
Simplifying
5x + 4 = x + 44
Reorder the terms:
4 + 5x = x + 44
Reorder the terms:
4 + 5x = 44 + x
Solving
4 + 5x = 44 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
4 + 5x + -1x = 44 + x + -1x
Combine like terms: 5x + -1x = 4x
4 + 4x = 44 + x + -1x
Combine like terms: x + -1x = 0
4 + 4x = 44 + 0
4 + 4x = 44
Add '-4' to each side of the equation.
4 + -4 + 4x = 44 + -4
Combine like terms: 4 + -4 = 0
0 + 4x = 44 + -4
4x = 44 + -4
Combine like terms: 44 + -4 = 40
4x = 40
Divide each side by '4'.
x = 10
Simplifying
x = 10
Answer:
12
Step-by-step explanation:
If we fill in the blank and solve the equation, both sides will be equal
43 + 29 = 12 + 60
72 = 72
Answer: This is a linear
Step-by-step explanation:
If you graph these out as coordinates on desmos as (0,2) (1,5) (2,10) (3,17) the points form a straight line which is linear as shown.
Answer:
15x + 2x can be written as 17x
