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Aman left one-half of her property to his daughter, one-third to his son and donated the rest to an educational institute. If th

shutvik [7]

Answer:

Rs 600,000

Step-by-step explanation:

Let the original amount be X

Amount given to daughter = (1/2) X = X/2

Amount given to son = (1/3) X = X/3

donation = Rs 100,000

Total amount = Amount Given to Daughter + Amount given to Son + Donation

X = X/2 + X/3 + 100,000 (solve for X)

X = (5/6)X + 100,000

X - (5/6)X = 100,000

(1/6)X = 100,000

X = (6) (100,000)

x = Rs 600,000

6 0

4 years ago

Write an expression to represent the length is 6 feet longer than the width

Ivenika [448]

Step-by-step explanation:

Let l be the length of the room, and w be the width.

If the length is 6 feet longer than twice the width, then we can say l = 2w+6

Knowing that the formula for the perimeter of a rectangle is P = 2l+2w, and knowing that P=144 ft, we can say that 2L + 2w= 144 ft.

To find the dimensions, we plug our value for l into our perimeter equation

This gives us the following equation: 144= 2(2w+6) + 2w, which simplifies to 144=4w+12+2w, which further simplifies to 144= 6w+12

To get w on one side of the equation, we subtract 12 from each side, which gives us 132=6w

Dividing each side by 6, we determine that w= 22 ft.

Plugging this value back into our first equation we see that l= 2(22)+6

So l= 50 ft.

So, the dimensions of the room are as follows: length is 50 ft., width is 22 ft.

5 0

3 years ago

Read 2 more answers

Free 100coins. (just giving back because this community is awesome)

mote1985 [20]

Answer:

TYSM!! Have a awesome day

-

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Teagan is dividing 6 by 11. If she continues the process, what will keep repeating in the quotient? The sequence 05 Only the dig

Oksi-84 [34.3K]

Answer:

Teagan is dividing 6 by 11. If she continues the process, what will keep repeating in the quotient?

The sequence 05

Only the digit 5

The sequence 54

Only the digit 4

The sequence 54 is the final answer.

Step-by-step explanation:

Given:

A a fraction 6/11 which Teagan is dividing we have to find the repeating quotient.

Here the divisor is 11 and the dividend is 6.

Lets say that the quotient is "q" .

And we know that:

⇒ Dividend / divisor = quotient

Or

In mixed fraction.

⇒ Dividend / divisor = quotient + (remainder/ divisor)

Finding the values of "q".

⇒ $\frac{Dividend}{divisor} = quotient$

⇒ $\frac{6}{11} = 0.5454....$

Explanation:

To divide $6$ with $11$ we have to take a decimal in quotient which allows us to have a zero in each step in the quotient.
After putting zero the dividend will become $60$ and then we can apply $11\times 5 = 55$ ... $5$ in the quotient and $55$ in the numerator.
In third step we will subtract $55$ with $60$ that will give us $5$ putting a zero with it it will be now $50$ ,and the closet multiple of $11$ is $11\times 4=44$ , $4$ with the quotient and and $50-44=06$ will continue to be divided.
The fraction is a rational numbers as the decimals occurring are repeating decimals in the quotient.