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Thepotemich [5.8K]
4 years ago
15

Carmen likes to make her own trail mix. Her recipe calls for 8 cups of peanuts and 2 cups of chocalate chips. She discovers that

she only has 4 cups of peanuts in her cupboard. How many cups of chocalate chips does she need for this amount of peanuts? What is the ratio of peanuts to chocalate chips in the original recipe? Use counters to model the ratio. draw your model​
Mathematics
1 answer:
Angelina_Jolie [31]4 years ago
7 0

Answer:

She will need only 1 cup of chocolate chips.

Ratio: 1 cup of chocolate chips for every 4 cups of peanuts

Step-by-step explanation:

the original recipe calls for 8 cups of peanuts and 2 cups of chocolate chips, but carmen only has half the amount of peanuts needed for the recipe. since the ratio is 1 cup of chocolate chips for ever 4 cups of peanuts, she will only need 1 cup of chocolate since the recipe has been split on half by the lack of peanuts.

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For a business meeting, Jenna is making copies of her presentation. The more people
Fantom [35]

Answer:

Independent: The people who attend.

Dependent: The copies she has to make.

Step-by-step explanation:

She will make a certain amount of copies depending of how many people attend.

3 0
3 years ago
What is the answer to this ? PLEASE HELP I HAVE 3 minutes
inn [45]

Answer:

(2, 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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 2x

x = -y + 6

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                     y = 2(-y + 6)
  2. Distribute 2:                         y = -2y + 12
  3. Isolate <em>y</em> terms:                    3y = 12
  4. Isolate <em>y</em>:                               y = 4

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define equation:                    x = -y + 6
  2. Substitute in <em>y</em>:                       x = -4 + 6
  3. Add:                                        x = 2
3 0
3 years ago
Need help with all And have to show work
kari74 [83]
Altho' I can easily guess what you're supposed to do here, I must point out that you haven't included the instructions for this problem.

I'll help you by example.  Let's look at the first problem:

"Evaluate  6(z-1) at z-4."

Due to "order of operations" rules, we must do the work inside the parentheses FIRST.  Replace the z inside (z-1) with "-4".  We obtain

6(-4-1) = 6(-5) = -30 (answer.)

Your turn.  Try the next one.  If it's unclear, as questions.
8 0
4 years ago
To find g(x + 7), what do you substitute for x in the function g(x) = 4x - 2?
AlexFokin [52]

Answer: x+7

Step-by-step explanation:

g(x) = 4x - 2

g(x+7)=4(x+7)-2

Substitute (x+7)

8 0
2 years ago
PLEASE HELP AND SHOW ALL STEPS
Alja [10]

Combining the like terms, the simplified polynomials are given as follows:

a) 4x² - 14x + 17

b) -5x² - 20x + 8

<h3>How are polynomials simplified?</h3>

Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.

Item a:

4(x - 2)(x + 1) - 5(2x - 5)

Applying the distributive property:

4(x² - x - 2) - 10x + 25

4x² - 4x - 8 - 10x + 25

Combining the like terms:

4x² - 4x - 10x - 8 + 25

4x² - 14x + 17

Item b:

-5(x + 2)² + 28

-5(x² + 4x + 4) + 28

-5x² - 20x - 20 + 28

-5x² - 20x + 8

More can be learned about the simplification of polynomials at brainly.com/question/24450834

#SPJ1

4 0
2 years ago
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