Answer:
a = 12 years
Step-by-step explanation:
Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.
The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.
Mathematically this means a + a + 6 = 30
2a + 6 = 30
This is the equation needed to get a. To get a , we proceed to solve the equation to completion.
2a = 30 - 6
2a = 24
a = 24/2
a = 12
0.29m+10=0.35m
0.29m-0.29m+10= 0.35m-0.29m
10=0.06 m
Divide by 0.06 for 10 and 0.06
10/0.06= 0.06/0.06 m
m= 166.66666
Answer is m = 166.66666- the number 6 continues
Answer:
y = 16.
Step-by-step explanation:
The ratio of corresponding sides of similar triangles are the same.
The small and large triangles are similar ( - that is corresponding angles are congruent).
So 2/(2+8) = x / 20
2/10 = x/20
10x = 40
x = 4.
Therefore y = 20 -4 = 16.
<span>The answer is: [C]:
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Multiply each side by −8, subtract 35 from each side.
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Explanation:
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Given: You have (-1/8)*(x + 35) = -7
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Note that all the answer choices given start with: "Multiply each side by....";
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Given the choices, multiplying EACH SIDE of the equation by "(-8)" would make sense, since doing would cancel the "(-1/8)" on the "right-hand side" of the equation above to a "1" (i.e "cancel out" that ("-1/8") value); and would result in making the "right side" of the equation above ("-7") a positive integer number.
Then you would be left with: x + 35 = 56 ; so the next step would be to:
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Subtract: "(35)" from each side of the question [hence the answer choice] to isolate "x" on one side of the equation; and to solve for "x".
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