In a sixth grade class at Lincoln Middle School, there are 3 boys for every 4 girls in the class. Fill in the blank: The ratio of boys to girls in the class is .

If there are between 20 and 30 students in the class, what could be the actual number of boys and girls in the class?

The ratio of boys to girls in the class is 3 to 4.

Boy-9 Girl-12 or Boy-12 Girl-16 because they are both between 20 and 30 total students.

Step-by-step explanation:

Boys: 3 6 9 12

Girls: 4 8 12 16

Total: 7 14 21 28

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9