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3 years ago

Ram is 9 years older than Hari. Three years ago, he was two times as old as Hari was. Find their present age.

Mathematics

1 answer:

True [87]3 years ago

4 0

Answer:

Ram: 21, Hari: 12

Step-by-step explanation:

To solve the problem, we can use the following notation. We call:

$r$ = Ram's age at present

$h$ = Hari's age at present

We know that:

- Ram is 9 years older than Hari --> mathematically, this can be written as

$r=h+9$

- Three years ago, Ram was two times as old as Hari was --> mathematically, this can be written as

$r-3=2(h-3)$

where (r-3) is Ram's age 3 years ago, while (h-3) is Hari's age 3 years ago

Substituting eq.(1) into eq.(2), we find:

$(h+9)-3=2(h-3)\\h+9-3=2h-6\\h+6=2h-6\\h=12$

So, Hari's age is 12; therefore, Ram's age is

$r=12+9=21$

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Answer: Hello mate!

A direct variation implies that, if y is the dependent variable that varies with the variable x; then: y = k*x where k is a real number.

An inverse variation has the form y = k/x where also k is a real number.

them, if we define s as the hours that Bob spends studying, and b as the hours that he spends playing baseball, then the equation that represents the score is:

Score(s,b) = k*s/b

we know that if s = 6, and b = 7, then the score is 72; with this information, we could obtain the value of the constant k.

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2 years ago

The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers

gizmo_the_mogwai [7]

Yes. The situation is defined by a linear function.

<u>Solution:</u>

Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.

Is this situation defined by a linear function?

Yes, the above given situation is defined by a linear function.

Now, let us see the linear equation for above situation

Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"

Then, total salary is given as,

Total salary = $ 30 bonus + number of hours worked $\times$ cost per hour

$\rightarrow \mathrm{y}=30+\mathrm{x} \times \mathrm{c}\\\\ \rightarrow \mathrm{y}=\mathrm{c} \mathrm{x}+30$

Above equation is a linear equation as "c" is constant ( cost per hour )

Hence, the given situation can be defined by linear function.

5 0

3 years ago

A set of five distinct positive integers has a mean of $1000$ and a median of $100$. What is the largest possible integer that c

mixer [17]

Answer:

e = 4796

Step-by-step explanation:

given,

mean of five distinct positive number = 1000

median of the number = 100

100 is median means two number will be less than 100 and two number will be greater than 100.

let five number be

a , b, c, d, e

'e' should be the largest number

As 100 is median so 'c' = 100.

'a' and 'b' should be as small as possible and d should be the number nearest to 100.

As all the number are distinct so the least number be equal to 1 and 2

now d will be equal to 101 (nearest to 100)

now,

sum of the five number = 5 x 1000 = 5000

a + b + c + d + e = 5000

1 + 2 + 100 + 101 + e = 5000

e = 5000 - 204

e = 4796

hence, the largest number will be equal to e = 4796

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2 years ago

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Veronika [31]

Answer:

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2 years ago

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777dan777 [17]

Answer:

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Step-by-step explanation:

I attached an Image you can visualize it clearly

P.S I ain't that good at drawing though :P

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2 years ago