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2 years ago

What is the ratio 28 : 4 in it's simplest form?

Mathematics

2 answers:

nikklg [1K]2 years ago

7 0

Answer:

$7:1$

Step-by-step explanation:

$28:4$

Common highest factor is 4.

Simplify the ratio.

$28 \div 4 : 4 \div 4$

$7:1$

Lisa [10]2 years ago

5 0

Answer:

7:1

Step-by-step explanation:

28:4=

7(4):1(4)=

7:1

Hope this helps!

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Which statement best reflects the solution(s) of the equation?

Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0$

Now, factoring the term:

$x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2$

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ the denominator becomes zero i.e

$\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}$

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2 in the equation,

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$

$\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2$

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

#learnwithBrainly

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3 years ago

Write an expression so that when you divide ¼ by a number the quotient will be greater than 1/4.

SVETLANKA909090 [29]

Hello There!

An example of this would be:
$\frac{6}{1/4}$
6 = $\frac{6}{1}$
$\frac{6}{1} * \frac{4}{1}$
= $\frac{24}{1}$
= 24

Hope This Helps You!
Good Luck :)

- Hannah ❤

8 0

3 years ago

Please help, I only have 1 attempt left to get it right, there is also no need to show your work if you don't want to.

castortr0y [4]

Answer:

1/2 lb

Step-by-step explanation:

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23.5x/4 = 2.95

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