In the 3rd grade there are 60 kids and ten more girls than boys how many boy costumes and girl costumes will they need

They will need 25 boy costumes and 35 girls costumes.

Step-by-step explanation:

There are x boys.

There are x + 10 girls.

Altogether, there are x + x + 10 students.

Altogether, there are 60 students, so

x + x + 10 = 60

2x + 10 = 60

2x + 50

x = 25  (boys)

x + 10 = 35  (girls)

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c