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AURORKA [14]
2 years ago
10

By the distributive law 3 ✖ 2 + 3 ✖ 4 =

Mathematics
1 answer:
olga2289 [7]2 years ago
7 0
I think it would be 2, 9 x 8
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The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased b
masha68 [24]

Answer:

The fraction is \frac{4}{6}

Option (B) is correct.

3n-2d=0  and 4n+8=3d+6

Step-by-step explanation:

Let n denotes numerator and d denotes denominator of the fraction.

Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.

That is \frac{n}{d}=\frac{2}{3}

Cross multiply , we get,

3n=2d

Or, 3n-2d=0   ........(1)

Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4

That is \frac{n+2}{d+2}=\frac{3}{4}

Cross multiply , We get,

4{n+2}={3}{d+2}

4n+8=3d+6  .........(2)

3d-4n=2  .......(3)

Thus, from (1) and (2) , option (B) follows.

Solving equation (1) and (3) to get the original fraction using elimination method,

3n - 2d = 0    ............(1)

and 3d - 4n = 2       .........(3)

Multiply equation (1) by 3 , we get ,

9n - 6d = 0  ..........(4)

Multiply equation (3) by 2 , we get ,

-8n + 6d = 4 ..........(5)

Adding (4) and  (5) , we get,

9n - 6d -8n + 6d = 4 + 0

⇒ n = 4

Put n = 4 in (1), we get

3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0  ⇒  12 = 2d ⇒ d = 6

so, the numerator is 4 and  the denominator is 6.

Thus, the fraction is \frac{4}{6}


6 0
3 years ago
I need an answer right now
amm1812

Answer:

Step-by-step explanation:

(1x/4 + 1/7) + (3x/8 - 1/3) = x/4 + 3x/8 + 1/7 - 1/3

                                      = x*2/4*2 + 3x/8 + 1*3/7*3 - 1*7/3*7

                                      = 2x/8 + 3x/8 + 3/21 - 7/21

                                      = (2x+3x)/8 + (3-7) /21

                                      = 5x/8 + (-4)/21

                                       = 5x/8 - 4/21

8 0
3 years ago
If f(x) = 2x ^ 2 - 5 and g(x) = x ^ 2 - 4x - 8 find (f - g)(x)
choli [55]

Answer:  (f-g)(x) is equivalent to f(x) - g(x)

So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3

Hope this helps.

5 0
2 years ago
Joe has 16 pounds of fertilizer for his three gardens. He uses 8/3 of the fertilizer in his first garden and 1/4 of the fertiliz
Natasha2012 [34]

Answer:

3/8

Step-by-step explanation:

3 0
3 years ago
What is the solution to the equation P over 9= 72?
Fed [463]
P / 9 = 72

Multiply both sidess by 9

P / 9 (9) = 72 (9)

p = 648

4 0
3 years ago
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