Answer:
He spent 52.5 minutes reading.
Step-by-step explanation:
The equation from the word problem is 2(x+5)+25=140. Distribute 2 to the parentheses and get 2x+10+25=140. Combine like terms to get 2x+35=140. Subtract 35 from both sides and get 2x=105. Divide both sides by 2 and your final answer is x=52.5
You have to divide both the numerator and the denominator and you get 1/3 and thats the simplest form
The number = y
2y + 1/3 = 2/3 - 3y
(add 3y to both sides)
5y + 1/3 = 2/3
(subtract 1/3 from both sides to isolate y)
5y = 1/3
(divide by 5)
y = 1/15
Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
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<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
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<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
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And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
Answer:
the answer is option : 17
