3/4 of the students in a classroom are girls. if there are ten boys in the class, how many total students are there?

40 students total

Step-by-step explanation:

Let s represent the total number of students.  Then (3/4)s are girls and (1/4)s are boys.  Using the info on boys, (1/4)s = 10.  Thus, s = 40 (students).

Check:  Is (1/4)(40) = 10?  Yes.

             Is (3/4)(40) = 30?  Yes

             Is 10+30 = 40 (students)?  Yes

594 square inches

step-by-step explanation:

vote !

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.