Suppose the number of hours boys B and the number of hours girls G take to complete their homework is modeled by B = 2n + 5 and G = 3n – 1, where n is the number of students. Write a function the models the total number T of hours it takes boys and girls to complete their homework for n students. PLEASE HELP MEEE

T =5n+4

Step-by-step explanation:

We are to derive the total number T of hours taken by n students.

Total number of Hours,

T=Number of hours taken by boys+Number of hours taken by Girls

T=B+G

T=(2n + 5) + (3n – 1)

Next, we simplify by collecting like terms

T=2n + 5 + 3n – 1

 =2n+ 3n+ 5-1

T =5n+4

The total number of hours taken by n students is modeled by  T =5n+4

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: