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Tema [17]
3 years ago
13

A recycling center pays 2 cents per aluminum can and 5 cents per glass bottle. The equation 2x+5y=100 describes the number of ca

ns x and bottles y that you need to earn $1.00. What is the value of each intercept, and what does each represent?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0

Answer:

The x-intercept is 50 and it means to earn $1 using ONLY aluminum cans, you would have to collect 50 of them.

The y-intercept is 20 and it means to earn $1 using ONLY glass bottles, you would have to collect 20 of them.


Step-by-step explanation:

To find x intercept, we set y = 0.

To find y intercept, we set x = 0.


<u>x-intercept:</u>

2x+5y=100\\2x+5(0)=100\\2x=100\\x=50

The x-intercept is 50 and it means to earn $1 using ONLY aluminum cans, you would have to collect 50 of them.


<u>y-intercept:</u>

2x+5y=100\\2(0)+5y=100\\5y=100\\y=20

The y-intercept is 20 and it means to earn $1 using ONLY glass bottles, you would have to collect 20 of them.

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Answer:

The total change in water level over the past 2 years is \displaystyle -4 \frac{1}{6}.

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

Fractions

  • Proper and Improper

Numbers

  • Least Common Multiple (LCM)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Year 1 water change:  \displaystyle -2 \frac{1}{3}

Year 2 water change:  \displaystyle -1 \frac{5}{6}

<u>Step 2: Find Total Water Change</u>

  1. [Set up] Add yearly water changes:                                                                \displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}
  2. [Fractions] Convert to improper:                                                                     \displaystyle \frac{-7}{3} - \frac{11}{6}
  3. [Fraction] Rewrite [LCM]:                                                                                  \displaystyle \frac{-14}{6} - \frac{11}{6}
  4. [Order of Operations] Subtract:                                                                       \displaystyle \frac{-25}{6}
  5. [Fraction] Convert to proper:                                                                           \displaystyle -4 \frac{1}{6}
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Andru [333]

Answer:

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Step-by-step explanation:

5.28/6= .88 dollars per roll

3.40/4=.85 dollars per roll

buying six four packs is a better price

6 0
2 years ago
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