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cupoosta [38]
2 years ago
11

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

Mathematics
1 answer:
skad [1K]2 years ago
8 0

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

<u>GIVEN :-</u>

  • 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

<u>TO FIND :-</u>

  • The present ages of the man & his son.

<u>SOLUTION :-</u>

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

<u>CONCLUSION :-</u>

Age of son = 6 years

Age of man = 5×6 = 30 years

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HELP!!! Anyone know how to solve I know the answer is (-3) but I don’t know how to get there. Thanks!!
Dima020 [189]

Answer:   v = -3

=========================================

Work Shown:

5 = \sqrt{-2-6v}+1\\\\5-1 = \sqrt{-2-6v}\\\\4 = \sqrt{-2-6v}\\\\4^2 = \left(\sqrt{-2-6v}\right)^2 \ \text{ .... square both sides}\\\\16 = -2-6v\\\\16+2 = -6v\\\\18 = -6v\\\\-6v = 18\\\\v = 18 \div (-6)\\\\v = -3

As you can see, we don't square both sides until the square root portion is fully isolated or on its own side. So it happens after we subtract 1 from both sides.

Technically, you are able to square both sides without first isolating the square root. But that would mean you'd have to use the FOIL rule and things would get a bit messier than they have to be. Not to mention that the square root term wouldn't fully go away (so you'd have to square again later down the line).

------------------

Checking the answer:

Replace every copy of v with -3. Simplify both sides. We should end up with the same number on each side

5 = \sqrt{-2-6v}+1\\\\5 = \sqrt{-2-6(-3)}+1\\\\5 = \sqrt{-2+18}+1\\\\5 = \sqrt{16}+1\\\\5 = 4+1\\\\5 = 5\\\\

The answer is confirmed.

4 0
3 years ago
How many solutions does the system pf equations below have?​
Oliga [24]

Answer:

Your answer is One solution

Hope that this is helpful. Tap the crown button, Like & Follow me

6 0
2 years ago
A store pays $81 for a lawn ornament. The store marks up the price by 10%. What is the amount of the mark-up?
nadya68 [22]
It’s would be 89.10.
5 0
2 years ago
Please help me on this
BabaBlast [244]

Answer:

C. 4 weeks

Step-by-step explanation:

We have the formula

s = 16 \sqrt{7t} + 62

We are looking for the value of t (number of weeks) when s = 150.

So, we isolate t (well, almost isolate, because it would be hard to read)

(\frac{s - 62}{16} )^{2}  = 7t

If we replace s by 150 we get:

7t = (\frac{150 - 62}{16} )^{2} =  (\frac{88}{16} )^{2} =  (5.5 )^{2} = 30.25

We have 7t = 30.25.  If we divide both sides by 7 we get the number of weeks: 4.32... so rounding it down to 4.

4 0
3 years ago
56· 328+162· 44+166· 44−x =0<br> find x<br> the dot is to mutiply
Slav-nsk [51]

Answer:

x = 32800

Step-by-step explanation:

56 × 328 + 162 × 44 + 166 × 44 - x = 0

18368 + 7128 + 7304 − x = 0

32800 - x = 0

-x = -32800

x = 32800

8 0
2 years ago
Read 2 more answers
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