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Natali5045456 [20]
3 years ago
12

What is the total cost for a $20 haircut with a 15% tip

Mathematics
2 answers:
Ymorist [56]3 years ago
6 0

Answer:

$23

Step-by-step explanation:

vitfil [10]3 years ago
3 0
So you are going to pay $20 and then a 15% tip on top of the 20.

And the 15% tip is 15% of $20.

To do less work, you can basically do 115% of 20 to find out the total cost instead of doing 15% of 20 and then adding that to 20.

Saying that x is the final price to pay, and converting the percents to fractions we get:

\sf{\frac{115}{100}\times 20=x}

Simplify that:

\sf{\frac{115}{5} = x}

And simplifying that further, you get the final answer as:

\huge{\boxed{\bf{x=23}}}

So you have to pay $23 after the tip :)
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PLEASE HELP WILL MARK BRAINLIEST
Sholpan [36]

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

or

b > 3\frac{2}{15}\\\\

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality 2 \frac{3}{5} < b - \frac{8}{15}\\\\ is the same as \frac{13}{5} < b - \frac{8}{15}\\\\

---------------------

Let's multiply both sides by 15 to clear out the fractions

\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\

---------------------

Now isolate the variable b

39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

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