A) No, because your bag has 8 marbles, and each time you take it out, you put it back in. So there is a chance that you can pick the same marble again, and not pick up a red marble that's already in the bag.
b) No, because you could still keep on picking up the same marble over and over again.
c) There is no absolutely certain number of times.
Step-by-step explanation: Notice that the two equations in this problem have the same slope of -1/4 but different y-intercepts.
When lines have the same slopes, they are parallel.
Parallel lines never meet/intersect so there is no solution.
The equation of the line will be y = -3.9, and the height after rounding off will be -4.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:

The horizontal line can be defined as:
y = a
Where a is the constant.
Here a = -3.9
y = -3.9
The height = -3.9 ≈ -4
Thus, the equation of the line will be y = -3.9, and the height after rounding off will be -4.
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Equation #1: x+y=40
Equation #2: 7x+4y=193
Monica bought 11 red bricks.
Step-by-step explanation:
Given,
Cost of one red brick = $7
Cost of one gray brick = $4
Total spent on bricks = $193
Total bricks bought = 40
Let,
x represents the number of red bricks bought.
y represents the number of gray bricks bought.
What is the system that models this situation?
Equation #1: x+y=40
Equation #2: 7x+4y=193
How many red bricks did Monica purchase?
Multiplying Eqn 1 by 4

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 3

Monica bought 11 red bricks.
Keywords: linear equation, elimination method
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