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Zepler [3.9K]
1 year ago
15

The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation th

at could be used to find the width, w, of the rectangle.

Mathematics
1 answer:
Ahat [919]1 year ago
5 0

The following equation can be used to calculate the width, w, of the rectangle with the specified area: 2w²- w - 91 = 0.

<h3>What is a Rectangle's Area?</h3>

rectangle area = length width

Multiply the length by the width to obtain the area of a rectangle. The formula is as follows: A = L * W where A is the area, L denotes the length, W denotes the width, and * denotes multiplication. where A denotes area, s denotes side length, and implies multiply.

Given,

Rectangle area = 91 in.

2 w = width

The rectangle's length equals 2w - 1.

Using the area formula, the equation for calculating w would be: (2w - 1)(w) = 91.

2w² - w - 91 = 0

As a result, the equation for determining the width, w, of the rectangle with the specified area is: 2w² - w - 91 = 0.

To know more about area, visit:

brainly.com/question/20693059

#SPJ1

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Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

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Solve for <em>q</em> :

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Step-by-step explanation:

f(x) - g(x)
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Using the values of f(x) and g(x) gives us the equation:
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By distributing the negative sign, the signs on 5/2 and 2 are flipped, making them positive and negative respectively.

Our new equation is:

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Adding up like numbers gives us:

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Simplifying 6/2x => 3x

So our final equation is:

3x - 5
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