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KATRIN_1 [288]
3 years ago
9

Angie paid $66.50 for 3.5 yards of fabric. What is the price of 1 yard of fabric?

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0

Answer:

$19

Step-by-step explanation:

First you need to make a equation out of given information and this will be easiest to solve as an equation.

3.5      $66.50

1               x

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

3.5:1=66.50:x

3.5x=66.50/:3.5

x=19

On the right side you put one information(in this case number of yards) and on the left other information(cost) and you make proportion from up to down and solve for x.

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Find the exact distance between the line 6x-y=3 and the point (6,2). Show your work. Explain your answer.
Serggg [28]

Answer:

The distance of point ( 6 , 2 ) from line  6 x - y = 3 is  \frac{31}{\sqrt{37} }  unit .

Step-by-step explanation:

Given as :

The equation of line is 6 x - y = 3

And The points is ( 6 , 2 )

Let The distance between the line and points is d unit

So, The distance of point from the line = \frac{\begin{vmatrix}ax & +b y & + c\end{vmatrix}}{\sqrt{a^{2}+b^{2}}}

Or, d = \frac{\begin{vmatrix}6\times x & +(-1)\times  y & + (-3)\end{vmatrix}}{\sqrt{6^{2}+(-1)^{2}}}

Or, d =  \frac{\begin{vmatrix}6\times 6 & +(-1)\times  2 & + (-3)\end{vmatrix}}{\sqrt{6^{2}+(-1)^{2}}}

Or, d = \frac{36 - 2 - 3}{\sqrt{37} }

∴    d = \frac{31}{\sqrt{37} }  unit

Hence The distance of point ( 6 , 2 ) from line  6 x - y = 3 is  \frac{31}{\sqrt{37} }  unit .   Answer

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Read 2 more answers
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