20.8478066 (or 20.85%)
you do 480.77 minus 380.54 and it comes out to 100.23 and then you do 100.23/480=x/100 (discount/original=percent/100) and you multiply 100.23 by 100 and it comes to 10023 and you do 10023 divided by 480.77 and it comes out to 20.8478066 or 20.85%
Where are the triangles so I can compare to find the triangle congruence?
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
This is not an equation because it lacks an equal sign....so the only thing we can do here is combine like terms.
4 - 2x - 12 - 2x + 1 =
-4x - 7
