I need some help: A survey of 120 persons was conducted at TCC, and it was found that 97 persons carried a cell phone, 12 persons carried a tablet computer, and 9 carried both a cell phone and a tablet. How many people carried a cell phone or a tablet?

100

Step-by-step explanation:

n(u)=120  total people in survey

n(c)=97     people carrying cell phone

n(t)=12     people carrying tablet

n(c∩t)=9  people carrying both tablet and cell phone

n(c∪t)=?   people carrying cell phone or tablet

now,

n(c∪t)= n(c)+n(t) - n(c∩t)

         = 97+12-9

          =109-9

          =100

there fore the number of people carrying cell phone or tablet = 100

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

8

step-by-step explanation: