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3 years ago

If the ratio of b to a is equal to 6 and the difference of b and a is 12, what is the value of a?

Mathematics

1 answer:

Reil [10]3 years ago

3 0

Answer:

a = 2.4

Step-by-step explanation:

The problem statement tells you ...

b/a = 6

b - a = 12

Using the first equation, we can write an expression for b:

b = 6a . . . . . . . multiply both sides by "a"

This can be substituted into the second equation to find a value for "a":

6a -a = 12

5a = 12

a = 12/5 = 2.4

The value of a is 2.4.

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Answer:

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Step-by-step explanation:

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Verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7

harina [27]

Given:

$a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}$

To verify:

$a(b-c)=ab-ac$ for the given values.

Solution:

We have,

$a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}$

We need to verify $a(b-c)=ab-ac$ .

Taking left hand side, we get

$a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)$

$a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)$

Taking LCM, we get

$a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)$

$a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)$

$a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)$

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$ab-ac=\dfrac{-28-40}{35}$

$ab-ac=\dfrac{-68}{35}$

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$LHS=RHS$

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2 years ago

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Answer:

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Step-by-step explanation:

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