Explane how you know that 7/12 is greater than 1/3 but less than 2/3?

Step-by-step explanation: You would first have to make them into decimals and then compare the fractions so 7/12= 0.583... 1/3= 0.33 and 2/3= 0.66...

Now compare: 0.583 is greater then 0.33, but 0.583 is less then 0.66. Get it?

34

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15