Question

9. A bucket of water is pulled up out of a well using a rope. Fig. 8.1 shows the rope winding
on to a cylinder as the handle is turned.
axle
rope
0.12m
axle
handle
0.40 m
cylinder
bucket
Fig. 8.1
The empty bucket has a mass of 1.0kg.
(a) Complete the sentences that describe mass by filling in the gaps. [2 Marks]
The mass of a body is a measure of the amount of ......
........ in
the body. It resists a change in the state of .............
..... of the
body.​

Answer 1

Answer:

QUESTION

The numerator of a fraction is less than the denominator. If three is added to the numerator, the fraction becomes equal to 2/3 find the original fraction

GIVEN

The numerator of a fraction is less than the denominator

If 3 is added to the numerator, the fraction becomes 2/3

To find out:-

The original fraction

Let

The numerator be x-6

Let the denominator be X

So, the fraction of the number here becomes

X-6/X -------------------------- ( EQUATION 1)

Now in the question

3 is added to the numerator, and then the fraction becomes 2/3

So, let's find out the value of X

=》X-6+3/x = 2/3

=》X-3/X =2/3

=》3X-9= 2X

Now, X Value come in R.H.S ( Right hand side) and the value of - 9 becomes +9 as if it is going on L.H.S ( Left hand side)

=》3x-2x = 9

=》X = 9

Now by putting X that is 9 in equation 1

We will get,

=》9 - 6/9

=》3 / 9

Now making their value to lowest term we will get