How do you reduce fractions?1. 4/12=

2. 8/14=

3. 6/8=

4. 3/6=

5. 5/15=

Answers

Answer 1

Answer: 4/12=1/3
8/14=4/7
6/8=3/4
3/6=1/2
5/15=1/3

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Which quadratic equation has solutions x=8 and x=−1?

Answers

There are two ways you can do this

$<B>Using the formula</B>$

${x}^(2) - (sum \: of \: roots)x + poduct \: of \: roots = 0$

${x}^(2) - (8+-1)x + - 1 * 8 = 0$

${x}^(2) - 7x - 8 = 0$

$<B>Working backwards</B>$

$x = 8 \: or \: x = - 1$
$\Rightarrow x-8=0 \: or \: x+1=0$

$\Rightarrow (x-8)(x + 1)=0$
$\Rightarrow {x}^(2) + x -8x - 8 = 0$
$\Rightarrow {x}^(2) - 7x - 8 = 0$

Final answer:

The quadratic equation which has solutions x=8 and x=-1 is x² - 7x - 8 = 0.

Explanation:

To find the quadratic equation with solutions x=8 and x=-1, we can use the property that in a quadratic equation ax²+bx+c=0, the sum of the roots is equal to -b/a, and the product of the roots is equal to c/a.

As we know the solutions here are x=8 and x=-1, therefore: sum of roots = 8 + (-1) = 7. product of roots = 8 * -1 = -8. Assuming 'a' as 1 (for simplicity), our quadratic equation would be x² - 7x - 8 = 0. So this is the quadratic equation that has solutions x=8 and x=-1.

Learn more about Quadratic Equation here:

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When do you need to use two number lines to compare two fractions

Answers

You would use 2 number lines to compare fractions because if you were trying to see which fraction was larger than you would use a number line.

To see which one is bigger when comparing it

Maria read 3,356 pages in july and read 2,349 pages in August how many more pages did she read in july than in August?

Answers

3,356 - 2,349 = 1,007

So she read 1,007 more pages in July than in August

1,007 is the answer to your subtraction prob.

Which options could be the next step in simplifying this expression?5 • (2 + 4)

Choose exactly two answers that are correct.

A.
(5 • 2) + 4 (use the associative property)

B.
5 • 2 + 4 (use the distributive property)

C.
5 • 6 (use order of operations)

D.
5 • 2 + 5 • 4 (use the distributive property)

Answers

C and D
5·(2+4) is 30, because u need to add parenthesis first. 2+4 is 6
6·5 is 30.
C is 5·6 and that is 30
D is 5·2 which is 10, then 5·4 which is 20. 10+ 20 is 30.
:)

nicole ordered a volleyball for 9.75 a net 29.99 and knee pads for 15.00. Nicole's mother said she will pay for the order on her credit card if Nicole gave her the money Nicole gave her mother $40 her mother also applied the money that she owed Nicole for babysitting Nicole's mother then gave her back $5.26 how much did Nicole's mother owe her for babysitting

Answers

To solve a kind of question like this and to have a better understanding while solving it. It is pertinent to list out the parameters given:

List of Items bought by Nicole:

Volleyball = $9.75
Net = $29.99
Knee pads = $15.00

If Nicole gave her mother the money $40 for babysitting, and:

Her mother paid back $5.26 out of it.

Then, the total amount of money Nicole's mother owed Nicole can be calculated by adding the items Nicole bought with the amount her mother paid her back, then we will subtract the total amount from the money Nicole gave her mother for babysitting.

Mathematically, we have:

= $(9.75 + 29.99 + 15+ 5.26) - $(40)

= $60 - $40

= $20

Therefore, we can conclude that the amount of Money Nicole's mother owed Nicole for babysitting is $20

Learn more about arithmetic operations here:

brainly.com/question/15385899?referrer=searchResults

To figure this out just add:

9.75 + 29.99 + 15 + 5.26 = $60 Since this is $20 more than Nicole gave her mom that means she made $20 baby sitting. There's your answer!

Maria's favorite candy bar has 230 calories.The nutrition label states that 7/8 of the calories come from fat.How many calories in the candy bar come from fat?