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2 years ago

Find a common denominator for the pair of fractions 3/4 and 1/3 then write equivalent fractions with the common denominator.

Mathematics

2 answers:

andrew11 [14]2 years ago

8 0

Answer:

common denominator = 12

3 x 3 9/12

4 x 3

1 x 4 4/12

3 x 4

so 9/12 and 4/12

Margaret [11]2 years ago

3 0

Answer:

Common denominator: 12; Equivalent fractions: 9/12, 4/12

Step-by-step explanation:

The two denominators in question are:

3/4: 4

1/3: 3

In order to find the common denominator, find the LEAST COMMON MULTIPLE of these two numbers, which is in this case, 12.

4, 8, 12

3, 6, 9, 12

Now that we know the common denominator is 12, we can make equivalent fractions, which are fractions with different denominators that have the same value when simplified.

For 3/4, you multiplied the denominator, 4, by 3 to get to your common denominator (12). So multiply the numerator, 3, by 3 in order to get your equivalent fraction. 3 * 3 = 9. Meaning your equivalent fraction will be 9/12.

For 1/3, repeat the same steps. You multiplied the denominator, 3, by 4 to get the common denominator (12), so you must do the same to the numerator, 1, to get the equivalent fraction. 1 * 4 = 4. Meaning this equivalent fraction will be 4/12

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Answer:

1) When x is 1, y is 4, and vice versa

2) When x is -6, y is 42, and when x is 7, y is 114

3) When x is -2, y is 2, and when x is 8, y is 42

Step-by-step explanation:

$y=x^2-6x+9$

$y+x=5$ which can be rearranged as $y=5-x$ .

Substituting this lone y into the first equation, you get:

$5-x=x^2-6x+9$

Move everything to one side:

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Let's use elimination this time and subtract the first equation from the second:

$0=x^2-x-42$

Factor:

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Let's set the two equations equal to each other through substitution:

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2 years ago

Amount $100,000

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Answer:

1) Repaid for the loan = $239,511.60

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000

Rate 7%

Payments 360 - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60

2) What percentage will be repaid for this loan?

$\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100$

$\text{Percentage}=\frac{139511.60}{239511.60}\times100$

$\text{Percentage}=0.582\times100$

$\text{Percentage}=58.2\%$

3) What will be the average amount per payment for interest?

$\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}$

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$\text{Average amount}=387.53$

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