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klemol [59]
3 years ago
9

Leslie is a costume designer for the local children's theater company. Yesterday, she sewed 3 female costumes and 4 male costume

s, which used 73 meters of fabric. Today, she sewed 4 female costumes and 2 male costumes, which used a total of 74 meters. How many meters of fabric does each type of costume require?
Each female costume requires ________ meters of fabric, and every male costume requires _____ meters.

Mathematics
1 answer:
____ [38]3 years ago
3 0
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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t
nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

m_ {1} * m_ {2} = - 1

The given line is:

5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3

So we have:

m_ {1} = \frac {5} {2}

We find m_ {2}:m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}

So, a line perpendicular to the one given is of the form:

y = - \frac {2} {5} x + b

We substitute the given point to find "b":

-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2

Finally we have:

y = - \frac {2} {5} x-2

In point-slope form we have:

y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)

ANswer:

y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)

3 0
3 years ago
Read 2 more answers
What is this, x-8 all over 3=3
inysia [295]
You mean (x-8)/3 = 3 ...right?

You would multiply both sides by 3.
Then, add 8 to both sides.

x=17
5 0
3 years ago
The sum of two numbers is 64 and their differences in 10. Find the numbers
uranmaximum [27]

Answer:

37 and 27

Step-by-step explanation:

Lets say that the two numbers are x and y. We get the equations x + y = 64 and x - y = 10. We can then add these two equations together to get, 2x = 74. Then we divide by two on both sides and get x = 37. We then plug this value back into the second equation and get that 37 - y = 10. We can simplify this and we get that y = 27. So our two numbers are 37 and 27.

4 0
3 years ago
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24 students of 30 is what percent
____ [38]
The answer is 80 percent
5 0
3 years ago
Paul worked as a library volunteer for 8 ¼ hours. Harry worked for 3 ½ hours. How much longer did Paul work than Harry?
stiks02 [169]

Answer:

4 3/4

Step-by-step explanation:

= (8 - 3) + (1/4 - 1/2)

= 5 + 1/4 - (1 x 2 over 2 x 2)

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= 5 and (1/2 over 4)

= 5 + -1/4

= 4 3/4

8 0
3 years ago
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