When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
10x-25y+18-25x+10y-3
-15x-15y+15
-10x+25y+18+25x-10y+3
35x-35y+21

Answers

Answer 1

Answer:

35x-35y+21

Step-by-step explanation:

You would have to combine the like terms together to get 35x-35y+21.

Answer 2

By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5

How to simplify an algebraic expression

In this question we must simplify an algebraic expression by applying the following list of properties:

Commutative propertyAssociative propertyModulative propertyDistributive propertyExistence of additive inverseExistence of multiplicative inverse

Now we proceed to simplify the expression given in the statement:

0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12)     Given

10 · x - 25 · y + 18 + 25 · x - 10 · y + 3     Distributive and associative properties/Definition of multiplication

35 · x - 35 · y + 21     Result

By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910 #SPJ5


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Answers

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Step-by-step explanation:

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x
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B.
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Answers

Answer:

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Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

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