The factors of 44 are: 1, 2, 4, 11, 22, 44
The factors of 66 are: 1, 2, 3, 6, 11, 22, 33, 66
Then the greatest common factor is 22.
Answer:
<h2>
The eleventh term of the sequence is 64</h2>
Step-by-step explanation:
The sequence given is an arithmetic sequence
14, 19, 24, …………., 264
The nth term of an arithmetic sequence is given as;
Tn = a+(n-1)d where;
a is the first term = 14
d is the common difference = 19-14=24-19 = 5
n is the number of terms = 11(since we are to look for the eleventh term of the sequence)
substituting the given values in the formula given;
T11 = 14+(11-1)*5
T11 = 14+10(5)
T11 = 14+50
T11 = 64
The eleventh term of the sequence is 64
Answer:
10x^2-11x-6
Step-by-step explanation:
To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.
Step by step, you would:
5x * 2x = 10x^2
5x * -3 = -15x
2 * 2x = 4x
2 * -3 = -6
In an equation, it would expand to 10x^2-15x+4x-6
To simplify, you add like terms (constants and those with the same variable). In this case, you would add together all the terms ending in x.
-15x+4x=-11x
Now, you have added like terms together, so your simplified answer is 10x^2-11x-6.
Answer: The required two number will be 247 and 248.
Step-by-step explanation:
Since we have given that
Number of people at the Cineplex on last Saturday=1486
Number of theaters are there=6
Number of people in each theatres is given by
So it must lie between 247 and 248.
As the number of people in each theatre is 247.66 so , it may be between 247 and 248.
So, the required two number will be 247 and 248.
