Answer:
They are only equal on day 0, both having 10 population.
Step-by-step explanation:
Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:
Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:
To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:
Divide both sides by 10
Since both exponents have the same base we can set the exponents equal to eachother and solve for x:
Multiply both sides by 3 to isolate x on the left side
Multiply both sides by 4 to remove fraction
Subtract 3x to isolate x on the left side
Plug x into one of our original equations
Solve
He needs to play 23 more times. 785 / 35 = 23
He will have extra points but it will be enough to get the prize.
1 km=0.621mi
xkm=106 mi
x=106/0.621=170.66
b is the answer
Decibel is directly proportional to number of cars passing the point. That is,
69 db ----- 139 cars
x db ----- 17 cars
x = number of cars passing the point per minute on a weekend.
Then,
x= (69*17)/139 = 8.43 db ≈ 8 db
A quotient of 3 with 28 as a remainder means that 43 fits inside our number 3 times, and you have 28 more units as a remainder.
So, our number is
To write another division problem that has a quotient of 3 and a remainder of 28, we simply choose another number to substitute 43 in the expression above. For example, if we choose 100, the expression becomes
Which means that 328 has quotient of 3 with 28 as a remainder when divided by 100.
