Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:
Then, the first step is to find the Constant of proportionality "k".
Knowing that:
We can substitute values into the equation:
Now, solving for "k", we get:
Therefore, we can write the following equation that represents that proportional relationship:
3f + 2g = 30 . . .(1)
f + 2g = 26 . . . .(2)
(1) - (2) => 2f = 4 => f = 4/2 = 2
From (2), 2 + 2g = 26 => 2g = 26 - 2 = 24 => g = 24/2 = 12
Therefore, f = 2 and g = 12
No it’s not a jelly or a jam
Answer:
Current price index number = 455
Step-by-step explanation:
Given:
Current cost of gasoline = $2.58 per gallon
1975 price of gasoline = 56.7 Cents = 56.7 / 100 = $0.567 per gallon
Find:
Current price index number = ?
Computation:
Current price index number = (Current cost / Reference cost) 100
Current price index number = ($2.58 / $0.567)100
Current price index number = (4.55)100
Current price index number = 455
Answer:
Step-by-step explanation:
Hello There!
Once again we need to isolate the variable using inverse operations
to get rid of the -8.2 we add 8.2 to each side
-8.2+8.2 cancels out
-9.7+8.2=-1.5
now we have
-1.2z>-1.5
now we wan to get rid of the -1.2
to do so we want to divide each side by -1.2
Remember we have to flip the inequality sign because we're dividing by a negative number
we're left with
z<1.25
