Sam and carlos are bowling with plastic pins in sam's living room. remarkably, sam knocks down 8 pins on every bowl, and carlos knocks down 9 pins on every bowl. at the end of the day, sam and carlos have knocked down the same total number of pins. what is the least number of total pins that sam and carlos could have each knocked down?

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

by definition, an arc subtended by a central angle of some given measure has the same measure. so .