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Vadim26 [7]
2 years ago
13

Joshua went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each f

rozen dinner has 400 mg of sodium. Joshua purchased a total of 10 cans of soup and frozen dinners which collectively contain 2400 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
You can express the equation with any letter
Mathematics
1 answer:
Y_Kistochka [10]2 years ago
5 0

Answer:

c + f = 10

200c + 400f = 2400

Step-by-step explanation:

Let's say c is the number of cans of soup and f is the number of frozen dinners.

The total number of items is 10:

c + f = 10

The total amount of sodium is 2400 mg.  Each can of soup has 200 mg, and each frozen dinner has 400 mg.

200c + 400f = 2400

The problem doesn't ask you to solve the system, but I'll solve it anyway.  We can use substitution or elimination.  But first, simplify the second equation by dividing both sides by 200.

c + 2f = 12

Using elimination, subtract the first equation.

f = 2

Plug into either equation to find c:

c = 8

There are 8 cans of soup and 2 frozen dinners.

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3 0
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Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's profit 3 days later. Write a fun
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Complete Question

Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit.

Let p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x) represent Pizza Supreme's profit (in dollars) x days after June 1.

Suppose Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

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Answer:

The function formula for p using the function s is p(x) = 1.9s(x)

Step-by-step explanation:

Given

p(x) = Primo Pizza's profit (in dollars) x days after June 1.

s(x) = Pizza Supreme's profit (in dollars) x days after June 1.

It is given that Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

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So, p(x) = 1.9s(x)

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Answer:

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6 0
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Answer:

\boxed{(-1, 0)}

Step-by-step explanation:

x² + 2x - 3 + y²  = 5

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