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3 years ago

2x+3y=15 x+y=6 find values for x and y

Mathematics

1 answer:

MatroZZZ [7]3 years ago

8 0

Answer:

(x, y) = (3, 3)

Step-by-step explanation:

Subtract double the second equation from the first.

(2x +3y) -2(x +y) = (15) -2(6)

y = 3 . . . . . . . . simplify

Use the second equation to find x.

x = 6 -y = 6 -3 = 3

The values of x and y are both 3.

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Write as a decimal<br> A) 407 tenths <br> B) 209 hundredths

castortr0y [4]

Answer:- A) 407 tenths =40.7

B) 209 hundredths=2.09

Explanation:-

We know that one tenth $=\frac{1}{10}$ and one hundredth $=\frac{1}{100}$

A) 407 tenths

$=\frac{407}{10}=40.7$

Thus decimal form of 407 tenths is 40.7.

B) 209 hundredths

$=\frac{209}{100}=2.09$

Thus decimal form of 209 hundredth is 2.09.

4 0

3 years ago

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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

So, the number of days taken by 1 men alone and 1 boy alone are 35 days and 70 days respectively.

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4 years ago

7/9 converted to a decimal

bulgar [2K]

0.77777778 is the answer

8 0

4 years ago

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If each of the 8 sides of an octagon is 25 centimeters long, then the perimeter of the octagon is how many meters?

zepelin [54]

200 because 25 x 8 = 200 because perimeter is the outside it =)

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3 years ago

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Find the angle of slope of the line perpendicular to the line joining (-3,5) and (4,-1)

Naya [18.7K]

Answer:

7/6

Step-by-step explanation:

the original line has a slope of -6/7, so the line perpendicular is 7/6. we swap the numerator and denominator, and if the starting slope is positive, the perpendicular slope would be negative, and the other way around.

3 0

2 years ago