Answer:
when two things are said to be in inverse proportion , the two things are connected to each other in a particular way that if one thing increases its quantity the other will decrease .
For example : More the number of workers the less time needed to finish the work.
hope this helps you .
Answer:
A direct and inverse proportion is used to show how the quantities and amount are related to each other. For example, if we say, a is proportional to b, then it is represented as 'a∝b' and if we say, a is inversely proportional to b, then it is denoted as 'a∝1/b'.
What is the direct proportion?
Direct proportion is the relationship between two variables whose ratio is equal to a constant value.
Example
The term direct proportion means that two (or more) quantities increase or decrease in the same ratio. For example, in the purple paint mixture, the ratio of blue to red of 4:3. This does not necessarily mean we every mixture would have 4 red and 3 blue cans.
Formula
In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.
What is the indirect proportion?
Inverse proportion occurs when one value increases and the other decreases.
Example
More workers on a job would reduce the time to complete the task. They are inversely proportional.
Formula
The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.
A(3) =
(Simplify your answer.)
A(5) =
(Simplify your answer.)
A(10) =
(Simplify your answer.)
B) 10 gallons of the 12% and 10 gallons of the 7%
C) 8 gallons of the 12% and 12 gallons of the 7%
D) 2 gallons of the 12% ad 18 gallons of the 7%
Answer: 12 gallon of 12% sugar and 8 gallon of 7% sugar.
Step-by-step explanation:
Let we use x gallon of 12% of sugar mixture and y gallon of 7% of sugar mixture.
Thus, According to the question,
The resultant mixture having quantity 20 gallon,
Therefore, x + y = 20 ------(1)
Also, Sugar in x gallon mixture + sugar in y gallon mixture = sugar in resultant mixture.
Again according to the question,
Resultant mixture has 10% of sugar.
Therefore, 12% of sugar in x gallon + 7% sugar in y gallon = 10% sugar in 20 gallon
0.12 x + 0.07 y = 0.2
12 x + 7 y = 200 --------(2)
7× equation (1),
We get, 7x + 7y = 140 -----(3)
Equation(1) - equation (3)
5 x = 60
x = 12
By putting the value of x in equation (1),
12 + y = 20
⇒ y = 8
Thus, He will add 12 gallon of 12% sugar mixture and 8 gallon of 7% sugar mixture for obtaining 20 gallon of 10% sugar mixture.
Therefore, First Option is correct.
Givendecimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q
Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.
The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.
Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,
0.1212121212.....
As the given decimals 0.5 and 0.3 have terminatingdecimal expansion therefore they are rational numbers.
The rational form of 0.5 and 0.3 are
0.5 = 5/10 = 1/2
∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime
0.3 = 3/10
∴ 0.3 is written as p/q with p= 3 and q =10≠0 , p and q are coprime
Therefore, 0.5 and 0.3 are rational numbers.
Also, Learn more about rational numbers from the link below:
#SPJ2
Answer:
Yes they are rational numbers
Step-by-step explanation: