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Elan Coil [88]
3 years ago
15

Hiro and his co-workers had lunch at a restaurant near their work. An 18% tip on their bill was $10.08. How much was the bill, n

ot including the tip?
Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer:

$8.27

Step-by-step explanation:

First we need to find the tip.  We know it was 18% of the total. So...

x (the variable we need to find)         18%

__                                                   =     ___

10.08 (the total bill including tip)        100%

cross multiply

100x = 181.44

--------------------   (divide by 100 to get x by itself)

100

x = 1.81 (The 18% tip that was given)

So now we know how much the tip was, we subtract it from the bill

10.08 - 1.81 = $8.27

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Write an equation of the line that is parallel to -x + y = 5 and passes through the point (2,-5).
trasher [3.6K]

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

so convert the equation -x + y = 5 into slope intercept form by adding x to both sides

(-x + x) + y = 5 + x

0 + y = 5 + x

y = 5 + x

To match the slope intercept formula switch the x and 5 around

y = x + 5

If lines are parallel then they have the same slope (m) but they have different b

This means that the slope of the line will be 1 (in front of the x is an invisible 1 which would be m)

This is what we have so far...

y =  x + b

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(2, -5)

-5 = 1(2) + b

-5 = 2 + b

-7 = b

y = x + (-7)

y = x - 7

Hope this helped!

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55.5 gallons of apple juice on an average day.
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Given f (x) = 2 x + 9<br> f (x) = 15<br> x=
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15 minus 9 equals 6. 6 divided by 2 equals 3.

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What are the possible values of x if (4x - 5)2 = 49? Check all that apply.<br> uw we we
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Answer:

x = - \frac{1}{2}, x = 3

Step-by-step explanation:

Given

(4x - 5)² = 49 ( take the square root of both sides )

4x - 5 = ± \sqrt{49} = ± 7 ( add 5 to both sides )

4x = 5 ± 7, thus

4x = 5 - 7 = - 2 ( divide both sides by 4 )

x = \frac{-2}{4} = - \frac{1}{2}

or

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x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - \frac{1}{2}

left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution

x = 3

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What is the gcf of 56 and 14
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Answer:

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