In a class of 52 students ,the number of boys is 6/7 of the number of girls. How many are boys? ​

24 boys

Step-by-step explanation:

You can solve this using simultaneous equations.

You know the number of boys plus the number of girls is 52, so b + g = 52.

You also know the number of boys is 6/7 the number of girls, so b = 6/7g

Then you can substitute this into the first equation - 6/7g + g = 52, so 13/7g = 52.

Solving that equation, 52 / 13/7 = 28, so there are 28 girls.

You then work out the number of boys by doing 52- the number of girls, so 52- 28 = 24 boys

Hope this helps, let me know if you have any questions :)

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