56 is 140% of what number

Mathematics

1 answer:

Ann [662]3 years ago

7 0

just remember two things :

* is means =

* of means X

SO ; it says 140 %. that will be 140/100 = 1.4

let that missing number be x.

56 = 1.4x

56 / 1.4 = x

<u>40 = x</u>

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Answer:

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The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re

Elan Coil [88]

Answer:

width: 18 in
length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

W +9 = L

LW = 486

Substituting gives ...

(W+9)W = 486

W^2 +9W -486 = 0 . . . put in standard form

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The width of the rectangle is 18 inches; the length is 27 inches.

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<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.