If a varies jointly with b and c and a = 2.53 when b=5.5 and c = 0.92. Find the constant of variation.
1 answer:
You might be interested in
Answer: and
Step-by-step explanation:
For this exercise it is important to remember that Whole numbers Set contains the positive numbers and zero with no fractional part and with no decimal part.
Rational numbers are those numbers that can be written as a fraction, in this form:
Where "a" is the numerator and "b" is the denominator. Both are integers.
Then, given the following fraction:
You can express it as a decimal number by dividing the numerator 31 by the denominator 5:
Based on the definition of Whole numbers, you can identify that:
So the given fraction lies between the following Whole numbers:
and
Answer:
First Barn contained = 90 tons
Second barn contained = 30 tons
Step-by-step explanation:
Let us suppose that second barn contains x tons of Hay
Now according to given condition
First Barn Contain = 3 *x = 3x
According to other condition
20 tons removed from first barn i.e. 3x - 20 and 20 tons were added to second barn i.e. x + 20
the amount of hay in second barn which is x + 20 is equal to 5 / 7 of the hay remaining in first barn which is 3x-20
So in mathematical form it could be written as
x + 20 =
To find hay in each barn
We have the equation
x + 20 =
Multiplying both sides of equation by 7
7(x+20)=
7(x+20)=5(3x-20)
7x + 140 = 15 x - 100
adding 100 on both sides gives
7x + 140 + 100 = 15x - 100 + 100
7x + 240 = 15 x
Subtracting 7x from both sides
7x + 240 - 7x = 15 x - 7x
240 = 8x
or
8x = 240
Dividing both sides by 8
8x / 8 = 240 / 8
x = 30 tons
so second barn contained = 30 tons of hay
now
First barn contained = 3 * x
as x = 30
so putting the value
First barn contained = 3 * 30
First Barn contained = 90 tons