Tremaine scored 54 three-point goals, 84 two-point field goals, and 106 free throws in 23 games. How many points did he score on average per game

18.96

Step-by-step explanation:

From the question, Tremaine scored 54 three-point goals, 84 two-point field goals, and 106 free throws. The total point scored will be:

=(54 × 3) + (84 × 2) + (106 × 1)

= 162 + 168 + 106

= 436 points

The number of points scored on average per game will then be:

= 436 / 23

= 18.96 points per game

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