3x+2y=0 solve for system of linear equations by substitution

Mathematics

1 answer:

noname [10]3 years ago

4 0

Answer:

x=-2y/3

Step-by-step explanation:

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If an item is marked up 15% and the new cost is 155.25 what was the original price

Dmitry [639]

(1-0.15)=0.85
0.85 (155.25)=131.962
estimated answer
131.962 is about $132.00

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3 years ago

A food distributor conducts regular surveys of consumer spending on its products. The average weekly household spending (in doll

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Step-by-step explanation:

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3 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

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Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

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3 years ago

Miranda needs to buy a bottle of honey. She notices that she can pay $4 for a

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Answer:

The better one is $6 for 24 oz bottle

Step-by-step explanation:

If it cost 4 dollars for a 12 oz bottle and that would cost 1 dollar per 3 oz but for the 6 dollar for a 24 oz bottle it would be 1 dollar per 4 oz so 6 dollars for a 24 oz bottle is better!

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3 years ago

admissions to a carnival is $5 and each game at the carnival costs 0.85 you have $15 to spend on admissions and games what is th

prisoha [69]

You have $15 and admission is $5, so you know have $10 before doing any games. If you wanted to play 12 games, you would need $10.20, which you do not have. But, if you wanted to play 11 games, then you would need $9.35, which is just under $10.

So the maximum amount of games that you could play would be 11 games.

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4 years ago