The radius of a cylinder is increased by a factor of 5. the height is not changed. what is the effect of the increase on the volume of the cylinder? a) the volume of the cylinder increases by a factor of 5. b) the volume of the cylinder increases by a factor of 25. c) the volume of the cylinder increases by a factor of 15. d) the volume of the cylinder increases by a factor of 10.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x