The answer would be 43.7 because 430 divided by 10 is 43 and the extra 7 would be .7
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Hope this helps!
Step-by-step explanation:
Answer: After 7 years the population will be one-half the initial amount.
Step-by-step explanation:
Given: Initial population = 500,000
The population declines according to the equation:
, where P is the population in t years later.
One-half the initial amount = 0.5 x 500,000
= 250,000
Put P(t)=250,000, we get
Hence, After 7 years the population will be one-half the initial amount.
The answer to this is x = 5.
Answer:
First mechanic: 20 hours
Second mechanic: 15 hours
Step-by-step explanation:
First we create two equations where:
x - hours of first mechanic
y - hours of second mechanic
x+y=35
115x+45y=2975
Then, we multiply both sides of the first equation by 45, and then subtract it from the second equation:
45x+45y=1575
|115x+45y=2975
-|45x+45y = 1575
70x = 1400
x=20 hours
Now we know for how many hours the first mechanic worked. Now we just need to subtract that from the combined total to find the second mechanic's hours:
35-20=15 hours
