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3 years ago

Females

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

Answer:

17716715178173174789098

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A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.

skad [1K]

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

GIVEN :-

A man is 5 times as old as his son. (In Present)
4 years ago , the man was 13 times as old as his son

TO FIND :-

The present ages of the man & his son.

SOLUTION :-

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

$=> 5x - 4 = 13(x - 4)$

Now , solve the equation.

Open the brackets in R.H.S.

$=> 5x - 4 = 13x - 52$

Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

$=> 13x - 5x = 52 - 4$

$=> 8x = 48$

Divide both the sides by 8

$=> \frac{8x}{8} = \frac{48}{8}$

$=> x = 6$

CONCLUSION :-

Age of son = 6 years

Age of man = 5×6 = 30 years

8 0

2 years ago

Passes through the points (−4, 2) and (12, 6)?

svlad2 [7]

I'll assume you need to find the equation of the line that passes through those points.

Answer:

$\displaystyle y-2=\frac{1}{4}(x+4)$

Step-by-step explanation:

Equation of a Line:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The given points are (-4,2) and (12,6), thus:

$\displaystyle y-2=\frac{6-2}{12+4}(x+4)$

Operating:

$\displaystyle y-2=\frac{4}{16}(x+4)$

Simplifying, the equation in point-slope form is:

$\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}$

3 0

2 years ago

Match each system of equations with its number of solutions

igor_vitrenko [27]

Can you put a picture because I can’t se anything

6 0

2 years ago

Find the equation of the line passing through point (-1, -2) and having slope 1/5. Show work.

STatiana [176]

Answer:

Y=1/5x+ -2

Step-by-step explanation:

Hope this helps

6 0

2 years ago

Pls help DUE TODAY (13points)

Brut [27]

Answer:

42 ft²

Step-by-step explanation:

Rectangle Area: L * W

$\bf A=(8ft)(6ft)$

$\bf 48 \; ft^2$

$\bf A= (3ft)(2ft)$

$\bf 6\;ft^2$

$\bf 48ft^2-6ft^2$

$\boxed{\bf 42\; ft^2}$

8 0

2 years ago

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