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ZanzabumX [31]
3 years ago
7

What's 86/8 in a mixed number

Mathematics
1 answer:
dsp733 years ago
3 0

Answer:

10 6/8 or 10 3/4

Step-by-step explanation:

Calculate out how many times the denominator goes into the numerator. To do that, divide 86 by 8 and keep only what is to the left of the decimal point:

86 / 8 = 10.7500 = 10

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

86 - (8 x 10) = 6

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

10 6/8

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 2, which is the greatest common factor, to get the final answer. 86/8 as a Mixed Number is:

10 3/4

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So choose one of your points to be (x1, y1). Let's choose (4, -2). That means x1 = 4 and y1 = -2.
The other point would then be (x2, y2). So x2 = 24 and y2 = -17.

Now put these values in to the equation:
Slope = \frac{-17-(-2)}{24-4} =  \frac{-15}{20}  =  \frac{-3}{4}

The slope is -3/4.

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1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. m = -\frac{23350}{13}

c. y = -\frac{23350}{13}x + 23350

Step-by-step explanation:

Given

Years = 13

Total\ depreciation = \$23350

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

m = \frac{23350}{13}

Because it is depreciation, it means the slope represents a deduction.

So,

m = -\frac{23350}{13}

Solving (c): The straight line equation

The general format of an equation is:

y = mx + b

Where

m = slope

b = y\ intercept

In (a), we have that:

y\ intercept = 23350

In (b), we have that:

Slope\ (m) = -\frac{23350}{13}

Substitute these values in y = mx + b

y = -\frac{23350}{13}x + 23350

<em>Hence, the depreciation equation is: </em>y = -\frac{23350}{13}x + 23350<em></em>

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3 years ago
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