Answer:
6/x = 3/28.
Step-by-step explanation:
Both fractions are inverted.
Taking the reciprocals:
1 /x/6 = 6/x and
1 / 28/3 = 3/28.
First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
Answer:
£152.
Step-by-step explanation:
We have been given that a bottle contains 255 coins. 1/3 of the coins are £1.00.
Let us find 1/3 of 255 to find the number of £1 coins.

This means we have £85.
We are also told that 110 of the coins are 50 p coins.


Let us figure out number of 20 p coins by subtracting the number of £1 coins and 50 p coins from 255.





Now let us find total value of the coins contained in the bottle by adding the values of £1 coins, 50 p coins and 20 p coins.


Therefore, the total value of the coins contained in the bottle is £152.
Answer:
<em>Answer: 1/4</em>
Step-by-step explanation:
<u>Algebraic Operations</u>
The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.
It's required to determine the ratio of the width to the length, that is:

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

Now note we have the exact same expression up and down, thus simplifying:

Answer: 1/4
50 as 1 in the ratio
50:200
50 as 4 in the ratio
50:12.5
hope this helps