00:01
So the first problem says that if we subtract one half from a number and multiply the resultant by one half, you get one -eighth.
00:10
So to solve this problem, let's do what it says.
00:13
It says number minus one -half times one -half equals one -eighth.
00:20
So now we can simply solve for x.
00:22
To do that, we can multiply both sides by two to get rid of this one -half.
00:28
That would give us x minus one -half equals one -fourth.
00:35
Now we can add one half to both sides.
00:40
So you can see that x equals three -fourths.
00:45
It's the first answer for the second answer.
00:50
We see that a pool, the perimeter of a rectangular swimming pool is 154 meters.
00:55
And we know that its length is two meters more than twice of its breadth.
01:00
So to find what this length of the breadth is, is we can draw a picture.
01:06
The breadth, let's call the breadth x.
01:08
Let's call the width.
01:11
We want to know we have that the width is two times the breadth plus two.
01:21
So that can be what the length of this pull is.
01:26
And now to solve it, we know that the perimeter is 154 total meters.
01:33
So now we can just plug these four values, four sides, into the equation for the perimeter.
01:39
So we have 2x plus 2x plus 2x plus 2 times 2, and this equals 154.
01:57
So now we simplify this.
01:59
We see 2x plus 4x plus 4 equals 154.
02:06
So we see 6x plus 4 equals 154.
02:10
We subtract 4 from either sides, 6x equals 150.
02:15
50 and then we divide by 6 and we see x equals 25 so onto the third problem we have an isosceles triangle which means at least two sides are the same length let's say these two are the same they're both x and we know that the base is four -thirds centimeters and then we know that the total perimeter is 62 over 15 so we know the three sides we know the base and we know that two of the sides are the same so we can solve by plugging this into the perimeter equation, which again is the addition of all the sides will equal the perimeter.
02:58
So we see that four thirds plus two x for the two equivalent sides of the top equals 62 divided by 15.
03:09
And now we need to get the least common denominator for this four thirds...