Let the original bill be

, then the final bill after the charges been added are

, where

is the increase in the bill by 0.2 (100%+20% = 120% = 1.2)
The range of the original bill is
200 <

< 800, subtract each term by 25
175 <

< 775, divide each term by

145.83 <

< 645.83
Hence, the range of the original bill is between $145.83 and $645.83
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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:
56.70
Step-by-step explanation:
first determine the tax
45 * 6% = 45*.06 = 2.70
Then determine the tip
45 * 20% = 45*.2 =9
Then add everything together
45+2.70+9 =56.70
Answer:
no
Step-by-step explanation:
38 minus 15
38 - 15
15 less than 38
15 < 38
Answer:
Option A: -12x-8=10 is the correct answer.
Step-by-step explanation:
Given equation is:
-4 (3x+2) = 10
We will distribute the equation by multiplying the terms inside the brackets with -4.
Therefore,
-4*3x + 2*-4 = 10
-12x +(-8) = 10
-12x - 8 = 10
The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.
Hence,
Option A: -12x-8=10 is the correct answer.