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Citrus2011 [14]
3 years ago
9

A magic carpet is made with three different colors of yarn. The ratio of each color is shown below. 10 parts gold yarn, 7 parts

bronze yarn, and 3 parts silver yarn. The magic carpet is made with total of 150 meters of yarn. How much silver is in the carpet?
Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

Answer: 22.5 yards

Step-by-step explanation:

There are a total of 20 parts yarn. This means that 3/20 of the carpet is silver. So in order to compare this to the 150 meters of total yarn, you would set up this equation:

3/20 = x/150

Next, you cross multiply:

3*150 = 20*x or simplified would be 450 = 20x

Next, you divide both sides by 20 to get x by itself.

450/20 = 22.5, so x is equal to 22.5

This means you have 22.5 yards of silver in the carpet.

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Write an equation in slope-intercept form for the line that satisfies the following condition.
skelet666 [1.2K]

Answer:

The equation of the line we want to write is 4y = -x + 22

Step-by-step explanation:

Here, we want to write the equation of a line

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The standard equation of a straight line is given as:

y = mx + c

where m is the slope and c represents the y-intercept

Now, let’s look at the line y = 4x + 16

The slope of this line is 4

Now, the equation of the line we want to write is perpendicular to this line

When two lines are perpendicular, the product of their slopes = -1

Hence;

m * 4 = -1

m = -1/4

So the slope of the line we want to write is -1/4

Now, using the point-slope form for the new equation;

y-y1/x-x1 = m

From the point given (x1,y1) = (10,3)

Thus;

y-3/x-10 = -1/4

4(y-3) = -1(x - 10)

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The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and
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Answer:

y =  -  \frac{3}{2} x + 1

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

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Given points: (-2, 0) and (0, -3)

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

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y =  -  \frac{3}{2} x + 1

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