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makvit [3.9K]
3 years ago
5

Karen has 3 pieces of ribbon that are each 2 3/4 yd long. She also has a piece of lace that is 3 1/5 yd long. Karen needs to cut

the lace into 4 pieces that are all the same length to finish a sewing project. How long should each piece of lace be? A. 1 4/5 yd B. 1 1/4 yd C. 11/12 yd D. 4/5 yd
Mathematics
2 answers:
Temka [501]3 years ago
7 0
The first sentence is filler information that can be ignored, as the question involves lace, not ribbon.

Convert the mixed fraction into an improper fraction.

3 \frac{1}{5}

3 * 5 = 15

15 + 1 = 16

The fraction is now \frac{16}{5}.

Divide the fraction by 4, as you want to get 4 equally long pieces.

\frac{16}{5} /  \frac{4}{1}  =  \frac{16}{20}

You get \frac{16}{20}, which can be simplified to \frac{4}{5}. 

The answer is D.


Gemiola [76]3 years ago
6 0
D) 4/5

Because the lace is 3.2 ydlong, so 3.2÷4=4/5
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C is the correct answer
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How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?
shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

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Volume of Mixture A is x=90 ml

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Hey can you please help me posted picture of question
Naddika [18.5K]
The correct answer is option D

The solution is shown below:

x^{2} +16 \\  \\ 
= x^{2} +(4)^{2} \\  \\ 
= x^{2} -(-1)(4)^{2}   \\  \\ 
= x^{2} -i^{2} (4)^{2} \\  \\ 
= x^{2} -(4i)^{2} \\  \\ 
=(x+4i)(x-4i)

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mr_godi [17]

Answer:

8

Step-by-step explanation:

2+2=4

4*2=8

DONE!!!!!!

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