A recipe requires 7/8 stick of butter for each 1 1/4 cups of flour. Find the unit rate of sticks of butter to cups of flour.

Let R = unit rate

R = (7/8) ÷ 1_1/4

R = (7/8) ÷ (5/4)

R = (7/8) • (4/5)

R = (7/2) • (1/5)

R = 7/10

Step-by-step explanation:

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)