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3 years ago

Percents

Mathematics

1 answer:

Nana76 [90]3 years ago

5 0

Answer:

As a percent: 115%

As a decimal: 1.15

As a fraction: $\frac{23}{20}$

Step-by-step explanation:

Percentages

Suppose Michael spends some amount of money on food, and that money is set at 100%. He leaves a 15% tip for the waitress.

Thus, he is really paying 100%+15% = 115% of the original price.

To express a percentage as a decimal, we just divide by 100:

115% = 115/100 = 1.15

The same division should be simplified instead of operated to express the percentage as a fraction:

115% = $\frac{115}{100}$

Simplifying by 5:

115% = $\frac{23}{20}$

Summarizing:

As a percent: 115%

As a decimal: 1.15

As a fraction: $\frac{23}{20}$

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Anna11 [10]

ANSWER

See attachment.

EXPLANATION

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3 years ago

In a sample of 400 customers at a fast-food restaurant, it was

damaskus [11]

If you put them into to proportion
156/400 and then put a variable for the unknown x/1200
1200 divided by 400 = 3
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3 years ago

Solve the following system of equations algebraically: y = x2 - 6x + 9 y = -9x + 19

Ratling [72]

{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      - 19    - 19 *subtract 19 to both sides
-9x    = x² - 6x -10
+9x + 9x *add 9x to both sides
0 = x² + 3x - 10
0 = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0 ; x - 2 = 0
x = -5    ; x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5 x = 2
y = -9(-5) + 19    y = -9(2) + 19
y = 45 + 19 y = -18 + 19
y = 64 y = 1

(-5,64) (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64) (2,1)
64 = (-5)² - 6(-5) + 9 1 = 2² - 6(2) + 9
64 = 25 + 30 + 9 1 = 4 - 12 + 9
64 = 64    1 = 1

y = -9x + 19
64 = -9(-5) + 19 1 = -9(2) + 19
64 = 45 + 19 1 = -18 + 19
64 = 64 1 = 1

{(-5,64), (2,1)}

3 0

3 years ago

What is negative 1 plus 1 3rd equal to

solniwko [45]

Answer:

-2/3(negative two over three)

Step-by-step explanation:

-1+1/3 we cross multiply,which will be-3+1/3 =2/3

dose that make sense???

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3 years ago

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GrogVix [38]

Answer:

50(x) and 10+35(x)

Step-by-step explanation:

Because ypu are multiplying 50 by however many hours and then you are adding 10 to 35 foreveryhour

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3 years ago