Answer:
Step-by-step explanation:
Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,
As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,
It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).
Cross products,
Simplify,
Inverse operations,
Answer: -3y2 - -3y-5 also could be written as -3y2 +3y-5
Step-by-step explanation: Just combine like terms!!!
Answer:
Step-by-step explanation:
x=20
Reorder the terms:
(2 + 5x) = 3(x + 14)
Remove parenthesis around (2 + 5x)
2 + 5x = 3(x + 14)
Reorder the terms:
2 + 5x = 3(14 + x)
2 + 5x = (14 * 3 + x * 3)
2 + 5x = (42 + 3x)
Solving
2 + 5x = 42 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 5x + -3x = 42 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2 + 2x = 42 + 3x + -3x
Combine like terms: 3x + -3x = 0
2 + 2x = 42 + 0
2 + 2x = 42
Add '-2' to each side of the equation.
2 + -2 + 2x = 42 + -2
Combine like terms: 2 + -2 = 0
0 + 2x = 42 + -2
2x = 42 + -2
Combine like terms: 42 + -2 = 40
2x = 40
Divide each side by '2'.
x = 20
Simplifying
x = 20
35.625
How many times does 8 go into 285?
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