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3 years ago

What is (1/4) / (6/7) Please don’t just tell me the answer, please review the steps.

Mathematics

1 answer:

lbvjy [14]3 years ago

6 0

Answer:

7/24 Is The Answer!

Step-by-step explanation:

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

1/4 Divided by 6/7 = 1/4 ₓ 7/6

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

1/4 times 7/6 = 7/24

The result Is

1/4 divided by 6/7 = 7/24

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Which BEST describes the system of equations? y = 4x + 3 y = 2x − 4 A) Consistent B) Inconsistent C) Consistent and Dependent D)

cestrela7 [59]

Answer:

D) Consistent and Independent

Step-by-step explanation:

The system of equations,

$a_{1} x+b_{1} y+c_{1} =0$ and

$a_{2} x+b_{2} y+c_{2} =0$

is consistent and independent if $\frac{a_{1} }{a_{2}} \neq \frac{b_{1} }{b_{2}}$

The system is consistent and dependent if $\frac{a_{1} }{a_{2}} =\frac{b_{1} }{b_{2}} =\frac{c_{1} }{c_{2}}$

The system is inconsistent if $\frac{a_{1} }{a_{2}} =\frac{b_{1} }{b_{2}} \neq \frac{c_{1} }{c_{2}}$

Now, in the given system

4x - y + 3 = 0 and

2x - y - 4 = 0

$\frac{a_{1} }{a_{2}} =\frac{4}{2} =2$

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

So, $\frac{a_{1} }{a_{2}}\neq \frac{b_{1} }{b_{2}}$

Hence, the given system is consistent and independent.

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Answer:

Step-by-step explanation:

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