How to solve 5h-2(3/2h+4)=10

h = 9

Step-by-step explanation:

Solve for h:

5 h - 2 ((3 h)/2 + 4) = 10

Put each term in (3 h)/2 + 4 over the common denominator 2: (3 h)/2 + 4 = (3 h)/2 + 8/2:

5 h - 2(3 h)/2 + 8/2 = 10

(3 h)/2 + 8/2 = (3 h + 8)/2:

5 h - 2(3 h + 8)/2 = 10

(-2)/2 = (2 (-1))/2 = -1:

5 h + -1 (3 h + 8) = 10

-(3 h + 8) = -3 h - 8:

5 h + -3 h - 8 = 10

Grouping like terms, 5 h - 3 h - 8 = (5 h - 3 h) - 8:

(5 h - 3 h) - 8 = 10

5 h - 3 h = 2 h:

2 h - 8 = 10

Add 8 to both sides:

2 h + (8 - 8) = 8 + 10

8 - 8 = 0:

2 h = 10 + 8

10 + 8 = 18:

2 h = 18

Divide both sides of 2 h = 18 by 2:

(2 h)/2 = 18/2

2/2 = 1:

h = 18/2

The gcd of 18 and 2 is 2, so 18/2 = (2×9)/(2×1) = 2/2×9 = 9:

h = 9

more detail

step-by-step explanation:

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.