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3 years ago

Evaluate 3/7r + 5/8s when r = 14 and s = 8.

Mathematics

1 answer:

Ahat [919]3 years ago

6 0

In this question, plug in 14 for r and 8 for s, which will look like 3/98 + 5/64. Solve, and you will get 0.109 = 0.11.

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

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3 years ago

What is the midpoint between A and B?

andreyandreev [35.5K]

Answer:

The answer is B.)

Step-by-step explanation:

I counted the units!

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A computer that originally cost $850 is on sale for 15%off. What is the sale price of the computer show your work

Yakvenalex [24]

If it is on sale for 15%, then you are paying 85% (100-15) of the original price.

To find 85% of 850, you do 850*.85 to get $722.50

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3 years ago

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Michelle has a $100. She wants to purchase paper pins ($20) and file covers ($20) and paper weights. each paper weight costs $10

MatroZZZ [7]

$1000 - ($20 + $20) = $60
$60 / $10 = 6 paper weights

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lisov135 [29]

Hope this helps.

If not, go to: https://www.mathportal.org/calculators/financial-calculators/simple-interest-calculator.php

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3 years ago