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4 years ago

Decide whether the pair of ratios form a proportion 15/12=4.5/3.6

Mathematics

2 answers:

Hitman42 [59]4 years ago

4 0

Answer: Yes they form a proportion. The given equation is a true equation.

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Explanation:

The idea is that if we have

a/b = c/d

then that it is the same as

a*d = b*c

This is known as cross multiplication. We'll use this rule to get

15/12 = 4.5/3.6

15*3.6 = 12*4.5

54 = 54

We got the same value on both sides, meaning that the last equation is true. Consequently, it means the first equation is true as well (all three equations are true).

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You could also use your calculator to see that

15/12 = 1.25

4.5/3.6 = 1.25

showing that 15/12 = 4.5/3.6 is a true equation and the ratios form a proportion.

olga2289 [7]4 years ago

3 0

Answer:

15/12=4.5/3.6 = True

Step-by-step explanation:

Simplify the following: Left-hand

15/12

Hint: | Reduce 15/12 to lowest terms. Start by finding the GCD of 15 and 12.

The gcd of 15 and 12 is 3, so 15/12 = (3×5)/(3×4) = 3/3×5/4 = 5/4:

Answer: 5/4

______________________________

Approximate the following:

4.5/3.6

Hint: | Express 4.5/3.6 in decimal form.

4.5/3.6 = 1.25:

Answer: 1.25 = 5/4

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4 years ago

4 men and 6 boys can finish a piece work in 5 days while 3 men and 4 boys can finish it in 7 days. find the time taken by 1 man

Anon25 [30]

Answer:

Number of days taken by 1 man alone and 1 boy alone are 35 days and 70 days respectively.

Step-by-step explanation:

Let, the work completed by 1 man in 1 day = x and the work completed by 1 boy in 1 day = y.

So, 4 men and 6 boy's 1 day work is $\frac{4}{x}$ and $\frac{6}{y}$

And, 3 men and 4 boy's 1 day work is $\frac{3}{x}$ and $\frac{4}{y}$

Since, 4 men and 6 boys complete the work in 5 days and 3 men and 4 boys complete the work in 7 days.

So, we have,

$\frac{4}{x}+\frac{6}{y}=\frac{1}{5}$

$\frac{3}{x}+\frac{4}{y}=\frac{1}{7}$

Let, $u=\frac{1}{x}$ and $v=\frac{1}{y}$

So, the equations are,

$4u+6v=\frac{1}{5}$ ................(1)

$3u+4v=\frac{1}{7}$ ................(2)

Multiply (1) by 3 and (2) by 4 and subtract the equations, we get,

$2v=\frac{1}{35}$ i.e. $v=\frac{1}{70}$ i.e. $\frac{1}{y}=\frac{1}{70}$ i.e. y = 70.

Substitute value of 'v' in (1) gives,

$4u+\frac{6}{70}=\frac{1}{5}$ i.e. $4u=\frac{-6}{70}+\frac{1}{5}$ i.e. $4u=\frac{8}{70}$ i.e. $u=\frac{8}{70\times 4}$ i.e. $u=\frac{1}{35}$ i.e. $\frac{1}{x}=\frac{1}{35}$ i.e. x = 35