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damaskus [11]
3 years ago
12

$14 meal; 20% tip please help me on this it is mathematics

Mathematics
2 answers:
Ivanshal [37]3 years ago
5 0

First, convert the 20% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
Second, you need to find out what 20% of your $14 meal cost is.This is always done by multiplying 0.20 by $14.00, or

0.20 x $14.00=$2.80.
So, the amount of tip you are going to leave is $2.80.

This makes the total cost of your meal (to write on your charge slip or other payment)

$14.00 + $2.80 = $16.80.

Quick tip calculation for 15% tips:

If you're leaving the standard 15% tip, here's a quick and easy way to calculate it in your head, at the table in the restaurant, without embarassing yourself by scribbling all over the back of a receipt or getting out a calculator:
15% is 10% + 5% (or 0.15 = 0.1 + 0.05, dividing each percent by 100). Thinking about it this way is useful for two reasons. First, it's easy to multiply any number by 0.1; just move the decimal point left one digit. For example, 75.00 x 0.1 = 7.50, or 346.43 x 0.1 = 34.64 (close enough). Second, 5% is exactly half of 10%. So here's how this quick and easy method works:
Take the total cost of your meal, $14.00 and multiply it by 0.1 by sliding the decimal to the left one digit to get $1.40 (you can do this in your head at the table). $1.40 is 10% of your meal cost. But the proper tip to leave is 15% (you need to throw in another 5%).

The additional 5% is just half of the 10% amount. What is half of $1.40? About $0.70. (Finding half of a number is also something you can do in your head at the table.) So, the total tip to leave is the 10% amount PLUS the 5% amount (for a 15% tip) or $1.40 + $0.70 = $2.10 .

The general rule here is:

Find the number that results from sliding the decimal point of the meal's cost left one digit,
and add on another half of this number.

That's your tip!
Anastasy [175]3 years ago
3 0
The tip would be $2.80 because it is 20% of the $14 meal
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Solve the following triangle. Given A=51 degrees b=40 c=45
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Answer:

a=36.87\ units

B=57.47^o

C=71.53^o

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

a^2=b^2+c^2-2(b)(c)cos(A)

substitute the given values

a^2=40^2+45^2-2(40)(45)cos(51^o)

a^2=1,359.4466

a=36.87\ units

step 2

Find the measure of angle B

Applying the law of sines

\frac{a}{sin(A)} =\frac{b}{sin(B)}

substitute the given values

\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}

sin(B)=\frac{sin(51^o)}{36.87}{40}

B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

51^o+57.47^o+C=180^o

108.47^o+C=180^o

C=180^o-108.47^o=71.53^o

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