What is the simplest form for 20/100
2 answers:
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Given
A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.
One cubic foot holds 0.804 bushels
Find out bushels of wheat can be stored.
To proof
Formula
where r is the radius and h represent the height.
As given in the question
diameter = 15 feet 3 inches
height = 24 feet 4 inches
First convert inches into feet
I inches = 0.083 feet
15 feet 3 inches = 15 + 3 × 0.083
= 15.25 feet
Diameter = 15.25 feet
24 feet 4 inches = 24 + 4 ×0.083
= 24.33 feet
Height = 24.33 feet
Radius = 7.63 feet
Put all the value in the above formula.
we get
Volume of the cylinder = 3.14× 7.63× 7.63× 24.33
= 4447.55 foot³ ( approx)
As given
One cubic foot holds 0.804 bushels
Total bushels of wheat can be stored = 4447.55×0.804
= 3575.83 ( approx)
Total bhushels of wheat stored are 3575.83 ( approx).
Hence proved
Answer:
The metal worker should use 20 kilograms of the metal alloy that is 30% copper and 80 kilograms of the metal alloy that is 55% copper.
Step-by-step explanation:
Let us assume that x kg of 30% copper alloy and y kg of 55% copper alloy are mixed to form 100 kg of 50% copper alloy.
So, we can write x + y = 100 ......... (1)
⇒30x + 30y = 3000 .......... (2)
Again we can write,
⇒ 30x + 55y = 50 × 100 = 5000 .......... (3)
Now, from equations (2) and (3) we can write
55y - 30y = 2000
⇒ 25y = 2000
⇒ y = 80 Kg.
So, from equation (1), we get,
x = 100 - y = 100 - 80 = 20 Kg. (Answer)