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inysia [295]
3 years ago
5

-5x+y=6 -3x+6y=-12 Solving systems of equations by substitution

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

if you isolate y in the top equation to get y=5x+6 then you can substiture y for 5x+6 in the bottom equation because thats what y equals

as of now you have -3x+6(5x+6)=-12 but if you use the distrubite property you would get -3x+30x+36=-12

then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get x=\frac{-48}{27} or x≈1.8

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What does 4(m-2)=2(m-9) equal
marshall27 [118]

Answer:

m = -5

Step-by-step explanation:

Simplify both sides of the equation.

4(m−2)=2(m−9)

(4)(m)+(4)(−2)=(2)(m)+(2)(−9)(Distribute)

4m+−8=2m+−18

4m−8=2m−18

Subtract 2m from both sides.

4m−8−2m=2m−18−2m

2m−8=−18

Add 8 to both sides.

2m−8+8=−18+8

2m=−10

Divide both sides by 2.

2m/2 = -10/2

m = -5

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3 years ago
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Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bak
Rina8888 [55]

Answer:

$406

Step-by-step explanation:

Step one:

given data

Cakes and More baked 1,450 chocolate chip cookies

The bakery sold them in boxes of 25 cookies each

The number of boxes will be

1450/25

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Step two:

The cost per box is $7

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4 0
3 years ago
In a survey, four out of five people surveyed preferred creamy over chunky peanut butter. 120 people are shopping at the grocery
elixir [45]

Answer: Around 96 people would prefer creamy peanut butter.

Step-by-step explanation:

In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.

Then the relative frequency is:

4/5 = 0.8 prefer creamy peanut butter.

And we can assume that:

1/5 = 0.2 prefer chunky peanut butter.

We also could multiply these numbers by 100% to obtain the percentage forms:

0.8*100% = 80%

0.2*100% = 20%

Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.

Then we can expect that the number of people that prefers creamy peanut butter is:

N = (80%/100%)*120 = 0.8*120 = 96

Around 96 people would prefer creamy peanut butter.

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3 years ago
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igomit [66]

Step-by-step explanation:

48 us the correct answer

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3 years ago
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