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almond37 [142]
2 years ago
14

James is X years older than Alex. Alex is X years older than Kim. James is twice as old as Kim. Alex is 24. Which of the followi

ng ages is possible for James?
Mathematics
2 answers:
Alex Ar [27]2 years ago
8 0

Answer with explanation:

Let age of Kim = k years

Age of James = 2k years----(1)

Age of Alex = (k+x ) years

Age of James =k+x+x=(k+2 x) years-----(2)

Equating (1) and (2)

2 k= k+2 x

2k-k=2x

k=2 x

And, Alex's age=24

k+x=24----(3)

k-2x=0---(4)

Subtracting 4 from 3, we get

3 x=24

Dividing both sides by , 3 we get

x=8

Putting the value of x in equation 4, we get

k=2*8

k=16

So, James Age =2k years

               =2*16

               =32 years

Option A: 32

GarryVolchara [31]2 years ago
3 0
All of them would be true so I would say the answer would be D. 
hope that helped.
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aalyn [17]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

in this problem we have

the point (5,12) is on the line of direct variation

so

Find the constant of proportionality k

y/x=k-------> substitute ------> k=12/5

the equation is

y=\frac{12}{5}x

Remember that

If a point is on the line of direct variation

then

the point must satisfy the equation of direct variation

we're proceeding to verify each point

<u>case A)</u> point (0,0)

x=0\ y=0

Substitute the value of x and y in the direct variation equation

0=\frac{12}{5}*0

0=0 -------> is true

therefore

the point (0,0) is on the line of direct variation

<u>case B)</u> point (2.5,6)

x=2.5\ y=6

Substitute the value of x and y in the direct variation equation

6=\frac{12}{5}*2.5

6=6 -------> is true

therefore

the point (2.5,6) is on the line of direct variation

<u>case C)</u> point (3,10)

x=3\ y=10

Substitute the value of x and y in the direct variation equation

10=\frac{12}{5}*3

10=7.2 -------> is not  true

therefore

the point (3,10) is not on the line of direct variation

<u>case D)</u> point (7.5,18)

x=7.5\ y=18

Substitute the value of x and y in the direct variation equation

18=\frac{12}{5}*7.5

18=18 -------> is true

therefore

the point (7.5,18) is on the line of direct variation

<u>case E)</u> point (12.5,24)

x=12.5\ y=24

Substitute the value of x and y in the direct variation equation

24=\frac{12}{5}*12.5

18=30 -------> is not true

therefore

the point  (12.5,24) is not on the line of direct variation

<u>case F)</u> point (15,36)

x=15\ y=36

Substitute the value of x and y in the direct variation equation

36=\frac{12}{5}*15

36=36 -------> is true

therefore

the point (15,36) is on the line of direct variation

therefore

<u>the answer is</u>

(0,0)

(2.5,6)

(7.5,18)

(15,36)


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t represents the number of years.

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Answer:

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The latent heat of vaporization of water = 2260.0 J/g

Let The amount of heat required to raise temperature = Q Joule

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Heat = mass × latent heat × change in temperature

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Or, Q =  9,605 × 10³ joule

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