Answer: 25 sixth graders
Step-by-step explanation:
Sixth-graders are in a ratio with fifth graders in the band at 5:4 and there are 20 fifth-grade students in the band.
To find the number of 6th graders, use direct proportion and assume the sixth grader number is x:
5 : 4
x : 20
4x = 100
x = 100 / 4
x = 25 sixth graders
Answer:
x = 3 ±sqrt(6)
6(x-3)^2-26 = 10
Add 26 to each side
6(x-3)^2-26+26 = 10+26
6(x-3)^2 = 36
Divide by 6
6/6(x-3)^2 = 36/6
(x-3)^2 = 6
Take the square root of each side
sqrt((x-3)^2) = ±sqrt(6)
x-3 = ±sqrt(6)
Add 3 to each side
x-3+3 =3 ±sqrt(6)
