Answer: The required constant of proportionality is 10.
Step-by-step explanation: Given that y is directly proportional to x, and y = 150 when x = 15.
We are to find the constant of proportionality.
According to the given information, we can write
![y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~~~~~~~[\textup{where k is the constsnt of propotionality}].](https://tex.z-dn.net/?f=y%5Cpropto%20x%5C%5C%5C%5C%5CRightarrow%20y%3Dkx~~~~~~~~~~~~~~~~%5B%5Ctextup%7Bwhere%20k%20is%20the%20constsnt%20of%20propotionality%7D%5D.)
When y = 150 and x = 15, we get from the above equation that
Thus, the required constant of proportionality is 10.
Answer:
24 units³
Step-by-step explanation:
Formula:
Volume (V) = length (l) × width (w) × height (h)
V=3×4×2=24 units³
Answer:
infinitely many
Step-by-step explanation:
Combine like terms on the right-hand side:
14t-20=14t-20
Add 20
14t=14t
divide by 14
t=t
this means that there are infinitely many solutions
M= 48.16666666666667. You can verify by multiplying it by 54, and comparing it with 51x51 and see if you get same results.
