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2 years ago

London has a collection of 260 coins. How many coins represent 25% of her collection?

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

8 0

Answer:

65 coins

Step-by-step explanation:

Set this problem up with a porportion.

$\frac{?}{260} \frac{25}{100}$

After that, cross multiple and divide.

25 times 260. Then divide by 100. That is then your answer.

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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

5 0

3 years ago

Bianca uses 1/3 of clay to make 4 bowls. She uses the same amount of clay for each bowl. How much clay does Bianca use for each

kkurt [141]

Answer:

1/12clay each bowl

Step-by-step explanation:

Since we know she used 1/3, simply divide 1/3 by 4 to get your answer.

1/3 / 4/1

1/3 * 1/4

1/12

8 0

2 years ago

PLEASE HELP ME ASAP ?!? :(

kherson [118]

Answer:

141 but i am prolly wrong

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

3 ( 8m+5) = 4 (6m+7)-13

Kitty [74]

Answer:

infinite solutions

Step-by-step explanation:

Given

3(8m + 5) = 4(6m + 7) - 13 ← distribute parenthesis on both sides

24m + 15 = 24m + 28 - 13 , that is

24m + 15 = 24m + 15

Since both sides are equal then any real value of x makes the equation true.

Thus there are an infinite number of solutions

8 0

3 years ago

Yolanda makes wooden boxes for a craft fair. she makes 100 boxes like the one shown and she wants to paint all the outside faces

Masteriza [31]

Honestly... i don't even know

5 0

3 years ago

Read 2 more answers