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3 years ago

Which expression is equivalent to (–3y – x) – (5y – 8x)?

Mathematics

2 answers:

Lorico [155]3 years ago

8 0

I hope this helps.

-8y+7x

olga55 [171]3 years ago

6 0

Answer:

$7x-8y$

Step-by-step explanation:

We have been given an expression $(-3y-x)-(5y-8x)$ . We are supposed to simplify our given expression.

Using distributive property $a(b+c)=ab+ac$ , we will get:

$-3y-x-1*5y-1*-8x$

$-3y-x-5y+8x$

Now, let us combine like terms.

$-x+8x-5y-3y$

$7x-8y$

Therefore, the simplified form of our given expression would be $7x-8y$ .

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Suppose that the last dollar that Victoria receives as income brings her a marginal utility of 10 utils while the last dollar th

GaryK [48]

Answer: A

Suppose that the last dollar that Victoria receives as income

brings her a marginal utility of 10 utils while the last dollar that

Fredrick receives as income brings him a marginal utility of

15 utils. If our goal is to maximize the combined total utility of

Victoria and Fredrick, we should

a. Redistribute income from Victoria to Frederick

b. Redistribute income from Fredrick to Victoria

c. Not engage in any redistribution because the current situation already maximizes total utility

d. None of the above

Step-by-step explanation:

Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.

The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed. In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.

6 0

3 years ago

Ken has a pole that is 26 inches long. He wishes to cut it into two pieces so that one piece will be 8 inches

bazaltina [42]

Answer:

im too immature for this lol...9. the answer is 9 inches

Step-by-step explanation:

9+9=18

18+8=26

4 0

2 years ago

16 - 2t = t + 9 + 4t

Inga [223]

Answer:

t = 1

Step-by-step explanation:

16 - 2t = t + 9 + 4t

=> 16 - 9 = 7t

=> 7 = 7t

=> t = 1

$GeniusUser$

6 0

2 years ago

George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends

MariettaO [177]

For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

<h3>How to get the area of the cover?</h3>

Remember that the area of a circle of radius R is given by the formula:

$A = pi*R^2$

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

$A = 3.14*(11ft)^2 = 379.94 ft^2$

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

$C = 2*pi*R$