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:
First we need to calculate the distance between Clifton and Burlington by using Pythagorean theorem:
x² + 65² = 97²
=> x² = 97² - 65²
=> x² = 5184
=> x = √5184 = 72 (m)
The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137 (m)
We have: 137 - 97 = 40 (m)
So it is 40 m closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington
Seventy five thousandths is less than .75
As an expression, this is:
222c - 15 = c
If you want to solve it, add 15 to each side to get:
222c = c + 15
Subtract c from each side:
221c = 15
Divide each side by 221:
c ≈ 0.0678733
Hope this helps!
