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Rashid [163]
2 years ago
7

Temperature rises from 60F to 72F. What is the percent increase​

Mathematics
1 answer:
Vesnalui [34]2 years ago
4 0

Answer:

20%

Step-by-step explanation:

percentage increase is calculated as

\frac{increase}{original} × 100%

increase = 72 - 60 = 12 and original temperature is 60 , then

percentage increase = \frac{12}{60} × 100% = 0.2 × 100% = 20%

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Answer:

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Step-by-step explanation:

Just by analyzing the problem you can match up the answers

Solve the problem in your head and the closest answer to that is the answer

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3 years ago
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The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions
AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

<u>Step-by-step explanation</u>:

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

                             273 = (2x - 5) x

                             273 = 2x^2 - 5x

<u><em>Step 3</em></u><em> :</em>

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

ac = 2\times-273 = -546 and b= -5

Factorizing -546 as -26\times21

The product of -26\times21 = -546

The sum of -26 + 21 = -5

<u><em>Step 5</em></u><em> :</em>

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

<u><em>Step 6</em></u><em> :</em>

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

                                                = 2(10.5) - 5

                                                = 21 - 5

                                    length = 16 meters

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3 years ago
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Jlenok [28]

Answer:

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Step-by-step explanation:

Given equation:

2m²+3=m

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Discriminant of an equation is given as:

D = b²-4ac

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Sever21 [200]

Answer:

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Answer:

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Step-by-step explanation:

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