What is 14 7/12 minus 5 1/4 simplified

Mathematics

1 answer:

Snezhnost [94]3 years ago

6 0

Answer:

9 1/3

Step-by-step explanation:

To evaluate 14 7/12 minus 5 1/4, recognize that the LCD here is 12 and that 5 1/4 must therefore be changed to 5 3/12.

Subtracting 5 3/12 from 14 7/12 yields 9 4/12, which, after reduction, is

9 1/3

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Given a rectangle with an area of 20 square units, if the width is x units and the length is x + 1 units, what is the difference

ollegr [7]

Answer: 1unit.

Step-by-step explanation:

Area of the rectangle

A = length × width

Since the area = 20 and the width is x and the length is x + 1.

We now substitute for the values in the above formula and solve for x

20 = x × x + 1

20 = x( x + 1 ), we now open

20 = x² + x , then re arrange.

x² + x - 20 = 0, this is a quadratic equation.we solve for x using quadratic means

Here, I am going to solve using factorization by grouping

x² + x - 20 = 0

x² + 5x - 4x - 20 = 0

x( x + 5 ) - 4( x + 5 ) = 0

( x + 5 )( x - 4 ). = 0

Therefore, the solution for x will be

x = -5 or 4, but x can not be -5 ( negative), so x = 4.

Now the difference between width and the length can easily be calculated from the above,

Width = 4 (x) , and length = 5 (4 + 1),

Now difference will be

5 - 4 = 1unit.

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Answer:

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20 POINTS!!! PLEASE HELP

Katena32 [7]

The logarithm of 10 to base 10 is 1

<h3>How to determine the logarithm?</h3>

The given parameters are:

Base = 10

Number = 10

So, the expression is:

$\log_{10}10$