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Define x :
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Let the smallest number be x.
First number = x
Second Number = x + 1
Third Number = x + 2
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Construct equation :
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x(x+2) - (x+1) = 7(x+2) + 1
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Solve x :
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x(x + 2) - (x + 1) = 7(x + 2) + 1
x² + 2x - x - 1 = 7x + 14 + 1
x²- 6x - 16 = 0
<span>(x+2)(x-8) = 0
</span>x = -2 or x = 8
Since x is a positive integer, it cannot be negative.
⇒x = 8
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Answer: The three numbers are 8, 9 and 10.
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Answer:
r = 12
Step-by-step explanation:
108 = 9r | Given expression
12 = r | Divide both sides by 9. 108 becomes 12 and 9r becomes r.
Answer:
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Step-by-step explanation:
Answer:
a. 150
b. y=150x+1200
Step-by-step explanation:
a. 1350-1200=150
b. if he opened it in 2005 he started his tutoring fee at 1200 that makes 1200 the y intercept
