The numeric constant of variation is 100
Step-by-step explanation:
Direct proportion means that increase in one variable cause increase in other variable
Here,
It is given that
y varies directly as x
y∝x
when the proportionality symbol is removed a proportionality constant is introduced
Given that
y = 100 when x = 4
Putting the values
The numeric constant of variation is 100
Keywords: Proportion variation
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Answer:
I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
Step-by-step explanation:
Since I have one type of nut that sells for $ 4.50 / lb and another type of nut that sells for $ 8.00 / lb, and I would like to have 28 lbs of a nut mixture that sells for $ 7.80 / lb, to determine how much of each nut will I need to obtain the desired mixture, the following calculation must be performed:
8 x 0.95 + 4.5 x 0.05 = 7.825
8 x 0.94 + 4.5 x 0.06 = 7.79
0.94 x 28 = 26.32
26.4 x 8 + 1.6 x 4.5 = 218.4
218.4 / 28 = 7.8
Thus, I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
#1 4/5x + 2/3x = 1 -4/15
22/15x = 11/15
x = 1/2
and can u explain what u mean by #2 and #3??
Answer:
5 degrees colder
Step-by-step explanation:
You take the starting point then subract the ending point and you get your answer. But in order to know if its colder or warmer is to know that the higher the number, the hotter, and the lower the number, the colder.
Answer:
therefore the solution of the system of equations is (x,y) = (4,2)
the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"
Step-by-step explanation:
i) x + 2 = 6 
x = 4
ii) x - y = 2 4 - y = 2 , therefore y = 4 - 2 , therefore y = 2
iii) therefore the solution of the system of equations is (x,y) = (4,2)
iv) the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"
