Marie placed two orders at the same restaurant last month. In one order, she received 5 trays of lasagna and 3 trays of garlic b
1 answer:
Answer:
L=$24.95 , G=$12.75
Step-by-step explanation:
This problem is a classic system of equations problem. There are several methods of solving these problems, because of the circumstances and values given I think it's best to use the elimination method. The elimination method attempts to cancel out a variable by subtracting one equation from another.
The first statement Marie received an order of 5 trays of lasagna and 3 trays of garlic bread for a total of $163. I'm going to use "L" for lasagna and "G" for garlic bread. Therefore, the equation for the scenario above is:
In the second statement Marie received an order of 4 trays of lasagna and 4 trays of garlic bread and so:
Now we cannot use the elimination method directly because equation 1 and equation 2 do not have any coefficients in common. However, we can eliminate "G" by first multiplying the top equation by 4 and the bottom equation by 3. We are doing this because those are the coefficients of the other equation, and thus will return a common value as such:
Equation 1:
Equation 2:
Now we can subtract equation 2 from equation 1 and eliminate the "G" variable as such:
By solving for L we obtain:
Therefore, one tray of lasagna is $24.95. Now that we know the value of "L" we can use any of our original equations to figure out what "G" is. I'll use the first equation and so:
And so the price of a tray of garlic bread is $12.75. So the answer is the price of lasagna = $24.95 and garlic bread = $12.75
~~~Brainliest Appriciated~~~
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Answer:
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<h2>Question</h2>There is a special relationship between the lengths of the legs of a right triangle and the length of its hypotenuse. This relationship is known as the
<h2>Answer</h2>Pythagorean Theorem.
Step-by-step explanation:
The Pythagorean Theorem states that the square of one leg (a) plus the square of the other leg (b) is equal to the square of the hypotenuse (c). This can be written as +
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Answer:
There is a constant of proportionality between the two purchases and each book costs $4.99 (option B).
Step-by-step explanation:
A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.
In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.
In this case, the constant of proportionality k will relate the number of books bought N and their cost C in the following way:
C=k*N
So k is the price per book.
For the 12 books:
k=4.99
And for the 21 books:
k=4.99
The constant k for the two purchases is the same, thus <u><em>there is a constant of proportionality between the two purchases and each book costs $4.99 (option B). </em></u>