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OverLord2011 [107]
4 years ago
8

1. The ages of Sonal and Manoj are in the ratio of 7:5. Ten years hence, the ratio of their ages will be 9:7. Find the present a

ge ​
Mathematics
1 answer:
sesenic [268]4 years ago
4 0

Answer:

Ratio of present ages of Sonal and Manoj = 7:5

Let us consider the ages of Sonal and Manoj to be 7x yrs. and 5x yrs. respectively.

After 10 years, ratio of their ages = 9:7

A/q,  7x+10/5x+10 = 9/7

or     9 (5x+10) = 7 (7x+10)

or     45x + 90 = 49x + 70

or      49x - 45x = 90 - 70

or      4x = 20

or       x  =  20/4  =  5 .

Therefore, present age of Sonal = 7x yrs. = 7 x 5 yrs. = 35 yrs.

                    present age of Manoj = 5x yrs. = 5 x 5 yrs. = 25 yrs.              

Step-by-step explanation:

You helped me before so thank you

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Inverse laplace transform of H(s) = 1/(s+4)^2
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Answer:

Inverse Laplace of \frac{1}{(S+4)^2} will be te^{-4t}

Step-by-step explanation:

We have to find the inverse Laplace transform of H(S)=\frac{1}{(S+4)^2}

We know that of \frac{1}{s+4} is e^{-4t}

As in H(s) there is square of s+4

So i inverse Laplace there will be multiplication of t

So the inverse Laplace of \frac{1}{(s+4)^2}  will be te^{-4t}

L^{-1}\frac{1}{(S+4)^2}=te^{-4t}

4 0
4 years ago
An amusement park sells child and adult tickets at a ratio of 3:1. On Saturday, they sold 63 adult tickets. How many child ticke
nalin [4]

Answer:

The number of child tickets sold by the amusement park is 189.

Step-by-step explanation:

Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:

3:1 = C:A .................... (1)

Where;

C = ?

A = 63

Substituting for the value into equation (1), we have:

3:1 = C:63

This can be converted to solve for C as follows:

3 / (3 + 1) = C / (C + 63)

3 / 4 = C / (C + 63)

0.75 = C / (C + 63)

0.75(C + 63) = C

0.75C + (0.75 * 63) = C

0.75C + 47.25 = C

47.25 = C - 0.75C

47.25 = 0.25C

C = 47.25 / 0.25

C = 189

Therefore, the number of child tickets sold by the amusement park is 189.

4 0
3 years ago
Show answer in lowest terms. 3 1 /4 - 1 3/16=
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3 - 1 = 2
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4 0
3 years ago
Write the product using exponents.<br><br> 2⋅2⋅2⋅n⋅n<br> Using exponents, the product is ?
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3 0
3 years ago
Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centim
Mandarinka [93]

The lower bound of the measurement is 65.5 millimetres.

A centimetre equals 10 millimetres, a measure is expressed by the <em>measured</em> magnitude plus uncertainty, the latter one represents the grade of precision of the measure instrument. That is to say:

y = x + \epsilon (1)

Where:

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The lower bound of the measurement is 65.5 millimeters.

We kindly invite to check this question on measurements: brainly.com/question/4205362

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