The greatest possible number of club members is 7
<em><u>Solution:</u></em>
Given that, local readers’ club has a set of 49 hardback books and a set of 21 paperbacks
Each set can be divided equally among the club members
To find the greatest possible number of club members, we have to find the greatest common factor of 49 and 21
The greatest number that is a factor of two (or more) other numbers.
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
<em><u>Greatest common factor of 49 and 21:</u></em>
The factors of 21 are: 1, 3, 7, 21
The factors of 49 are: 1, 7, 49
Then the greatest common factor is 7
Thus, the greatest possible number of club members is 7
Answer:
<em>The area of Marlien's living room is 420 square ft</em>
Step-by-step explanation:
Before calculating the real dimensions of Marlien's living room, we must find the value of x.
Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.
The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

Simplifying:
-10 + x - 2 = 2
x = 10 + 2 + 2
x = 14
Since x=14 feet, the dimensions of Marlien's living room are
width=x=14 feet
length=2x+2=30 feet
Thus the area is:
A = 14*30 = 420 square ft
The area of Marlien's living room is 420 square ft
Enjoy
200,000 + 80,000 + 3,000 + 900 + 80
Answer:
f = 2 + -15x-1 + x
Step-by-step explanation:
Simplifying
f(x) = x2 + 2x + -15
Multiply f (x)
fx = x2 + 2x + -15
Reorder the terms:
fx = -15 + 2x + x2
Solving
fx = -15 + 2x + x2
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Divide each side by 'x'.
f = -15x-1 + 2 + x
Simplifying
f = -15x-1 + 2 + x
Reorder the terms:
f = 2 + -15x-1 + x
Answer:
Yes, he made a reasonable inference by saying about 25 percent of students choose the science.
Step-by-step explanation:
Given that
Number of students for survey = 50
Number of students who choose science = 12
Now
Percentage of student who choose science = 
Percentage of student who choose science = 
Percentage of student who choose science = 24 %
Now as Mr. Yule said "about 25" percent of students choose the science it can be treated as reasonable approximation.
Now if the number of students in survey become 200, then we can expect 12 out of every 50 students would choose the science. So, in total 48 students would choose the science.
Now lets calculate the percentage of students who choose science.
Percentage of student who choose science = 
Percentage of student who choose science = 
Percentage of student who choose science = 24 %