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natta225 [31]
2 years ago
5

When Margo makes cheese ravioli, she uses both ricotta and mozzarella cheeses to make the filling. She often varies the proporti

ons of the cheeses that she uses, but the number of ounces of ricotta cheese, r, is always more than 3 times the number of ounces of mozzarella cheese, m. For one batch of ravioli that Margo makes, she spends less than $8 on the cheeses. The ricotta cheese costs $0.24 per ounce, and the mozzarella cheese costs $0.15 per ounce. For which of the following systems of inequalities do the positive solutions represent all possible combinations of numbers of ounces of ricotta and mozzarella cheeses that Margo could have used?
Mathematics
1 answer:
Natalka [10]2 years ago
6 0

Answer:

what is cheese ravioli tell Martha to go to the grocery store and get some chef Boyardee ravioli

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  • If a single point satisfies the equations of two lines, the point is on both lines, so the lines will intersect at that point.
  • This means that each point where the two lines touch is a solution to the system of equations
  • This means that if you substitute the x and y values of the point for x and y in the equations, both equations will be true

<h2>Explanation:</h2>

You haven't given any option. However, I have tried to complete this question according to what we know about system of linear equations. Suppose you have the following system of two linear equations in two variables:

(1) \ y=3+2x \\ \\ (2) \ y=x

The fist equation is the blue one and the second equation is the red one. Both have been plotted in the first figure below. As you can see, (-3, -3) is the point of intersection and lies on both lines. So this point is a solution of the system of equation and we can also say that it touches both lines. On the other hand, if you substitute the x and y values of the point for x and y in the equations, both equations will be true, that is:

-3=3+2(-2) \therefore -3=-3 \ True! \\ \\ (2) \ -3=-3 \ True!

Also, you can have a system with infinitely many solutions as the following:

(1) \ y+2x=4\\ \\ (2) \ 2y+4x=8

Here, every point that is solution of the first equation is solution of the second one. That is because both equations are basically the same. If we divide eq (2) by 2, then we get eq (1).

<h2>Learn more:</h2>

System of linear equations in real life problems: brainly.com/question/10412788

#LearnWithBrainly

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2 years ago
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Peyton is 28 years old

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Matt is 4 years old 
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A newspaper vendor sells three papers to 135 customers, the papers are the daily times, the observer and the new Nigeria. 70 cus
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Answer:

3 customers brought all the three papers.

Step-by-step explanation:

Let, D, O and N represents the three newspapers.

D = The daily times

O = The observer

N = The new Nigeria.

According to the given information,

n(D\cup O\cup N)=135, n(D)=70,n(O)=60,n(N)=50

n(D\cap O)=17, n(O\cap N)=15, n(D\cap N)=16

We know that,

n(A\cup B\cup C) = n(A) + n(B) + n(C)-n(A\cap B)-n(B\cap C)-n(C\cap A) + n(A\cap B\cap C)

Using this formula, we get

n(D\cup O\cup N) = n(D)+n(O) + n(N)-n(D\cap O)-n(O\cap N)-n(N\cap D) + n(D\cap O\cap N)

135 =70+60+50-17-15-16 +n(D\cap O\cap N)

135 =132+n(D\cap O\cap N)

135 -132=n(D\cap O\cap N)

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Therefore, 3 customers brought all the three papers.

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Two number cubes are rolled to determine how a token moves on a game board. The sides of
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Answer:

D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.

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The result of a product is odd only when the two numbers are odds.

There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.

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Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1

Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5

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