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For this case we can propose a rule of three:
bottle ------------>
minutes
x --------------------------------------> 1 minute
Where the variable "x" represents the number of bottles that can be filled in 1 minute.
Thus, William can fill of a water bottle in 1 minute.
Answer:
William can fill of a water bottle in 1 minute.
The expression (3a + 2b)^7 is a binomial expression;
The coefficient of the fourth term is 15120
<h3>How to determine the coefficient fourth term?</h3>The equation is given as:
(3a + 2b)^7
The above expression is a binomial expression;
Assume the expression is:
(x + y)^n
The equation of the expansion is:
When the expression is expanded, the parameters of the fourth term are
n = 7
r = 4
x = 3a
y = 2b
So, we have:
(3a + 2b)^7 = 7C4 * (3a)^(7-4) * (2b)^4
Evaluate each factor
(3a + 2b)^7 = 35 * (3a)^3 * (2b)^4
Evaluate the powers
(3a + 2b)^7 = 35 * 27a^3 * 16b^4
Evaluate the product
(3a + 2b)^7 = 15120a^3b^4
The coefficient of the above expression is 15120
Hence, the coefficient of the fourth term is 15120
Read more about binomial expressions at: