Solution:
we are given that
The difference of two numbers is equal to 0.6.
Let the numbers be x and y so we can write
Their quotient is also 0.6.
so we can write
Now solve these two equations together we get
Hence the numbers are -1.5 and -0.9
We will investigate how to determine the constant of proportionality for specific relationship between two variables.
We are given the respect proportionality between two variables ( x and y ) on a cartesian coordinate plane as such:
We are to determine the constant of proportionality ( k ) for the relationship expressed between the two variables.
A general proportional relation between ( x ) and ( y ) is expressed as follows:
Where,
We will use the given data point ( x , y ) and the general expression for direct proportions to determine the value of the constant of proportionality ( k ) as follows:
We plugged in the respective quantities of the variables ( x ) and ( y ) and evaluated for the constant of proportionality ( k ):
Answer:
15 hours
Step-by-step explanation:
To solve this you start by setting up the proportion: = . This is because we want to know if 3 hours is 20 percent, then how much is 100 percent.
Next we cross multiply to get 300 = 20x
Now we can divide both sides by 20 to get 15.
To check the work we can multiply 15 by .2 and we get 3, so we know it's correct.
Answer:
Answer: H x 8 = P
Explanation: Every hour Lucy gets paid $8 so if she works for 1 hour she gets $8 and for 2 hours of work she gets paid $16. It's just multiplying by 8.
The quotient is 1.13333333333.