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Kipish [7]
3 years ago
11

Sarah was cutting fabric for a quilt. She cut a strip of fabric that was 19 1/8 inches long into 5 equal pieces. When she was fi

nished cutting, Sarah had a piece that was 2 1/4 inches long. How long was each piece that she cut for the quilt?
please show work!
Mathematics
1 answer:
goldenfox [79]3 years ago
3 0
We need a least common denominator
19 1/8 and 2 1/4 (also = to 2 2/8)
19 1/8-2 2/8= 16 7/8
16 7/8 divided by 5
ANSWER: 3 3/8 in

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A miniature golf course recently provided its customers with 8 golf balls, 2 of which were yellow. What is the experimental prob
bonufazy [111]

Answer:

<h2>There is a 25% chances of receiving a yellow golf ball next time.</h2>

Step-by-step explanation:

Givens

  • There are 8 golf balls in total.
  • There are 2 yellow golf balls out of 8.

The experimental probability refers to the ratio between the number of times an even happens and the total number of cases. So,

P=\frac{2}{8}=0.25

Therefore, there is a 25% chances of receiving a yellow golf ball next time.

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Prove: segment SD = segment PD
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C

Step-by-step explanation:

SD is congruent to PD and both triangles share the same side with each other.

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3 years ago
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Eduardwww [97]

Answer:

x=5/6 and y=8/5

(5/6 , 8/5)

Step-by-step explanation:

You can use the elimination method! The point of this method is to add or subtract one equation from the other, multiplying them by constants if necessary, to cancel out one variable so you can solve for the other. Then, you can plug the value you got for your solution into either equation to solve for the other. I'll demonstrate.

Look at the two equations and the coefficients of both variables. You have 12x and -6x -- 6*2=12, so this is perfect. (You could also eliminate the y because 5*3=15, but I'll show you by eliminating the x instead.)

Here's what that looks like:

(-6x+1y=3)2

-12x+10y=6

So we just multiplied the second equation by 2 on both sides. Let's see how that helps us.

12x+15y=34

-12x+10y=6

If we add the two equations now, x will be canceled out and we can solve for y.

   12x+15y=34

+(-12x+10y=6)

___________

     0x+25y=40

           25y=40

0x=0, so we can get rid of the x. Now, we need to solve for y.

25y=40

y=40/25

You probably know how to simplify fractions, so divide both the numerator and the denominator by 5 to get y=8/5.

Now you can use this value in either equation and solve for x. I'll use the first. (This is called substitution.)

12x+15(8/5)=34

12x+3(8)=34 <-- What I did here is cancel out the 5 in the denominator with 15 to leave 3, because 5*3=15.

12x+24=34

12x=10

x=10/12

x=5/6 (Divide the numerator and denominator by 2.)

You can write your answer as a point, too. (5/6 , 8/5)

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