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yaroslaw [1]
2 years ago
10

What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y?

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
8 0

Answer:

7x + 2y + 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3 + 8x - 2y - x + 1 + 4y

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                                                                                    7x + 3 - 2y + 1 + 4y
  2. Combine like terms (y):                                                                                    7x + 2y + 3 + 1
  3. Combine like terms:                                                                                         7x + 2y + 4
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Chamblee High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long s
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Answer:  Choice B) 60 roses and 10 carnations

============================================================

Explanation:

  • r = number of roses
  • c = number of carnations

r and c are positive whole numbers.

r+c = total number of flowers = 50, since 50 orders are made.

The first equation to set up is r+c = 50.

This equation can be solved to get r = 50-c.

------------------

3r = cost of all the roses only, in dollars

1.5c = cost of all the carnations only, in dollars

3r+1.5c = total cost of all the flowers = 195 dollars

3r+1.5c = 195

------------------

Let's apply substitution to solve

3r+1.5c = 195

3(50-c)+1.5c = 195

150-3c+1.5c = 195

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-1.5c = 195-150

-1.5c = 45

c = 45/(-1.5)

c = -30

That's not good. We shouldn't get a negative value.

It turns out that the condition r+c = 50 should be ignored. Notice how none of the answer choices listed have r+c leading to 50.

So we'll only focus on the equation 3r+1.5c = 195

-----------------

If we plugged in r = 100 and c = 100, then we get

3r+1.5c = 195

3(100)+1.5(100) = 195

300+150 = 195

450 = 195

Which is false. So we can rule out choice A

Let's repeat those steps for choice B

3r+1.5c = 195

3(60)+1.5(10) = 195

180 + 15 = 195

195 = 195

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Choices C and D are similar to that of choice A, so they can be ruled out.

8 0
2 years ago
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