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3 years ago

What is the LCD (Least Common Denominator) of 4 1/6 5 4/7?

1 answer:

4 0

Rewriting it as improper fractions if necessary:
25/6, 39/7

For the denominators (6, 7) the least common multiple (LCM) is 42.

Therefore, the least common denominator (LCD) is 42.

Rewriting the original as equivalent fractions with the LCD:
175/42, 234/42.

Here are the steps to follow:

<span> <span>Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).</span> <span>

Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator</span>

Then add (or subtract) the fractions, as we wish!

Hoped I helped!
</span>

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Setler79 [48]

Answer:

diameter = 3,600 units

Step-by-step explanation:

Let $\pi$ = 3.14

C = 2 $\pi$ r

11,304 = 2(3.14)r

r = 1,800

d = 2r = 2(1,800) = 3,600

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2 years ago

What is the partial fraction decomposition of StartFraction 8 x + 19 Over (x + 8) (x minus 1) EndFraction? StartFraction 3 Over

hoa [83]

The partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

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

The fraction is given as:

$\frac{8x + 19}{(x + 8)(x - 1)}$

Split the fraction as follows:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}$

Take the LCM

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}$

Cancel the common factors

8x + 19 = Ax - A + Bx + 8B

By comparison, we have:

Ax + Bx = 8x

-A + 8B = 19

This gives

A + B = 8

-A + 8B = 19

Add both equations

9B = 27

Divide by 9

B = 3

Substitute B = 3 in A + B = 8

A + 3 = 8

Solve for A

A = 5

So, we have:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Hence, the partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Read more about partial fraction at:

brainly.com/question/12783868

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2 years ago

Will mark brainliest !!

ikadub [295]

Given Fig.is a triangle

Perimeter is simply sum of the all sides of a triangle

1/3x + 7/x^2 + (x+2)/x

=[ x+ 21 + 3x(x+2)]/3x^2

= (x+ 21 + 3x^2 + 6x)/3x^2

= (3x^2 + 7x +21)/3x^2

7 0

3 years ago

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The equation of a line is -6x-2y=-18<br> What is the x-intercept of the line?

Fed [463]

-6x - 2y = -18

-6x - 2(0) = -18

-6x - 0 = -18

-6x = -18

-6 -6

x = 3

hope this helps :)

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2 years ago

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help please! Darren is finding the equation in the form y = m x + b for a trend line that passes through the points (2, 18) and

andrezito [222]

Answer: d) 14

Step-by-step explanation:

Equation of a line passing through (a,b) and (c,d):

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

Equation of a line passing through (2, 18) and (–3, 8):

$(y-18)=\dfrac{8-18}{-3-2}(x-2)\\\\\Rightarrow\ (y-18)=\dfrac{-10}{-5}(x-2)\\\\\Rightarrow\ (y-18)=2(x-2)\\\\\Rightarrow\ y-18=2x-4\\\\\Rightarrow\ y=2x-4+18\\\\\Rightarrow\ y=2x+14$

Comparing resulting equation $y=2x+14$ to $y = m x + b$ , we get value of b= 14.

Hence, correct option is d) 14

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3 years ago

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