In September, the total enrollment of a school was 1.200
students. Of these students, 20% of them were boys. In
October, some more boys enrolled in the school and the
percent of students that are boys changed to 25% How many
boys enrolled in the school in October?

80 boys

Step-by-step explanation:

The number of boys that enrolled in September is 1200*20%. 20%=.2 so 1200*.2=240 boys enrolled. Then you can write an equation for the boys that enrolled in October. = 25%. 25% is the same thing as 25/100 which simplifies down to 1/4. Once you cross multiply, you get 4*(240+x)=1200+x. Expanding the left side gives you 960+4x=1200+x. Subtracting 960 from both sides gives you 4x=240+x. Subtracting x from both sides gives you 3x=240. Dividing both sides by 3 gives you the answer x=80.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .