On monday five students make up a rumor. on each of the next two days, every student that knows the rumor tells five other students. write a power to represent the number of students that know the rumor at the end of day on wednesday. the find the number of students

5¹ + 5² + 5³, 130 students

Step-by-step explanation:

  Monday:         1          1           1           1            1        =      5   ⇒ 5¹

+ Tuesday:      1(5)     1(5)       1(5)       1(5)         1(5)     = + 25   ⇒ 5²

+ Wednesday:5(5)    5(5)      5(5)      5(5)        5(5)     = +125   ⇒ 5³

                                                                                          130

Extra Credit:   How many students will know the rumor on Thursday?            5¹ + 5² + 5³ + 5⁴

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