Set as a proportion
16 = 12
------------------
5x+2 24
cross multiply
12(5x+2) = 16 * 24
60x +24 = 384
60x +24-24 = 384-24
60x =360
60x/60=360/60
x =6
To figure AB plug 6 into 5x+2
5x +2
5(6) + 2
30+2
32
AB = 32
Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)
Work Shown:
The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.
Multiply the numbers up top (numerators): 2*3*4 = 6*4 = 24
Multiply the numbers in the bottom (denominators): 3*5*7 = 15*7 = 105
We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)
24/3 = 8
105/3 = 35
So that's how I got 8/35
If you want to convert to decimal form, then 8/35 = 0.22857 approximately.
The slope is 2/1 and tye y intercept is 2
6h + 5h - 3j = 11h - 3j (all u can do is combine like terms...if they're not like terms, they cannot be combined)
All you need to do is substitue -2 into the equation for x,
h(-2) = 3(-2) + 1 = -6 + 1 = -5
