Answer:
4 students
Step-by-step explanation:
As shown in the diagram, let U=[The total number of students questioned]

A=[Those who liked peanut butter ]

B=[Those who liked jam ]

x = those who like both peanut butter and jam.
Also 6 liked neither peanut butter nor jam.
From the diagram we can write the mathematical equation as follow and solve for x


We add x and subtract 30 to both sides.


Therefore 4 students like both peanut butter and jam.
Answer:
The dependent variable is A
The independent variable is w
Step-by-step explanation:
Given

Required
Identify the variables
In 
The value of w is independent of the value of A.
In other words:
A derive its own value from w; by multiplying 25 and w.
Take for instance:

The value of A would be:


Hence:
The dependent variable is A
The independent variable is w
Answer:
Put all terms on one side of the equal sign, leaving zero on the other side.
Factor.
Set each factor equal to zero.
Solve each of these equations.
Check by inserting your answer in the original equation.
Answer:
Infinitely many solutions
Step-by-step explanation:
Simplify this
3 (y-2) = 3y-6
3 (y) + 3 ( -2) = 3y-6
3y-6=3y-6
Because these two equations are equal to each other, it is infinitely many solutions.
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Answer: 80 feet.
Step-by-step explanation:
You can calculate the width using two equations and solving for the side lengths.


You can then substitute the L in the first equation for the L in the second equation:


Now, you can factor this equation to solve it:

Your solutions for W are -100 and 80. Considering the width of a rectangle cannot be negative, the only possible solution is 80 feet, which makes your length 100 feet.