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Lorico [155]
3 years ago
15

a sporting goods manufacturer requires 3/8yd of fabric to make a pair of soccer shorts. how many shorts can be made from 9yds of

fabric
Mathematics
1 answer:
Bingel [31]3 years ago
7 0
If 8/8 is 1 yard then you would do 9*8 to get 72 and put that over 8 then divide that by 3/8 to get 576/24. then you would solve that to get 24, so the solution is the manufacturer can produce 24 pairs of shorts with 9 yards of fabric.
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5. Find the value(s) of x so that the line containing the points (2x + 3, x + 2) and (0, 2) is
Dvinal [7]

Answer:

  x = -2 or -9

Step-by-step explanation:

You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).

<h3>Slope</h3>

The slope of a line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the formula, the slopes of the two lines are ...

  m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)

and

  m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)

<h3>Perpendicular lines</h3>

The slopes of perpendicular lines have product of -1:

  \dfrac{x}{2x+3}\cdot\dfrac{2+3x}{6-x}=-1\\\\x(3x+2)=(2x+3)(x-6)\qquad\text{multiply by $(2x+3)(6-x)$}\\\\3x^2+2x=2x^2-9x-18\qquad\text{eliminate parentheses}\\\\x^2+11x+18=0\qquad\text{put in standard form}\\\\(x+2)(x+9)=0\qquad\text{factor}

<h3>Solutions</h3>

The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.

4 0
1 year ago
What is the scale factor from L to S?
MariettaO [177]

Answer: While I don’t have the picture to actually know the answer I will explain how to get it.

Step-by-step explanation:

1. If the shapes are on a grid count the amount of grid squares that are located between each end point of the shape. If it’s not on a grid use a ruler to measure the side lengths. You will need to find out the side amounts for both shapes L and S.

2. From there if the L shape is SMALLER than the S shape, then take the S shape’s sides and divide it by the L shape’s sides, and whatever number you get from each of your division problems will be your scale factor. BUT If the L shape is BIGGER than the S shape then easiest way to find out your scale factor is to take the last scale factor you got and convert it into a fraction. For example, if you got 3 then it would be 1/3. Hope this helped!

8 0
2 years ago
Sibusiso's car consumes petrol at a rate of 7,6 l/100km. The petrol tank in his car holds 65litres. How far can he ride on a ful
Delicious77 [7]

Answer:

6 +67 _^76 + 9 x 2087 - 9012 = 1000

Step-by-step explanation:

98 + 2000 - 76 = 1000

5 0
2 years ago
Point q is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q?
Jet001 [13]

Answer:

<em>(9,-5)</em>

Step-by-step explanation:

When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.

When you go right, the number will increase. The horizontal position is the X axis. 5+4=9

<em>(9,-5)</em>

<u>Hope this helps :-)</u>

4 0
3 years ago
Alexis is knitting a blanket 2 meters long. Every 2 decimeters, she changes the color of the yarn to make stripes. How many stri
IgorC [24]

Answer:

There are 10 stripes in the blanket.

Step-by-step explanation:

We are given the following in the question:

Length of blanket = 2 meters

1 meter = 10 decimeter

Length of blanket in decimeter =

2\times 10 = 20\text{ decimeters}

Change of color = Every 2 decimeters.

Number of stripe =

=\dfrac{\text{Length of blanket}}{\text{Length of change of color of stripe}}\\\\=\dfrac{20}{2} = 10

Thus, there are 10 stripes in the blanket.

3 0
3 years ago
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