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Genrish500 [490]
3 years ago
7

A rectangular pan has a length that is 4/3 the width. The total area of the pan is 432 in.2. What is the width of the cake pan?

Mathematics
1 answer:
Maru [420]3 years ago
3 0
<span>the width of the cake pan can be found with the following formula
area = W x L=</span>432 in.2<span>
but L= 4/3W
so we have </span>
area = W x 4/3W=4/3W²=<span>432 in.2, and </span><span>W²=<span>(3/4)x 432 in.2, and W=18 in</span> </span>


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Answer:

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Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

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<em>Additional working out</em>

The equation coefficients are not "nice" multiples of each other, so elimination  and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

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The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

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each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

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