Answer:
57 mph
Step-by-step explanation:
Let b represent Bob's speed on the trip. Then his time is ...
time = distance/speed
Bob's time = 230/b
Then John's speed is b+8, and his time is ...
John's time = 230/(b+8)
The difference of their times is 1/2 hour:
Bob's time - John's time = 1/2
230/b -230/(b+8) = 1/2 . . . substitute the expressions for time
460(b+8 -b) = b(b+8) . . . . . multiply by 2b(b+8)
b^2 +8b -3680 = 0 . . . . . . .put in standard form
(b +4)^2 -3696 = 0 . . . . . . . add 16-16 to complete the square
b = -4 +√3696 ≈ 56.795 . . . solve for positive b
Bob's drove about 57 mph on the trip.
Just add them together we get 6n.
This is geometry.. If lines l and M are parallel than we look at the line that goes from bottom left to the top right. this is called the transversal. When lines are parallel then alternate interior angles are congruent. That means opposite sides of the transversal and inside the parallel lines. That means 28 and are congruent.
Your answer is 28.. I hope I helped you learn something..
1ST Piece =======> 2x ======> 2 * 3 ft. ======> 6 ft.
2ND =========> 5x =======> 5 * 3 ft. ======> 15 ft.
3RD ==========> 4 Feet =======> 4 ft.
Sum ======> 25 Feet
Equation:
(2x + 5x) + (4) = 25
Let's solve your equation step-by-step.
2x + 5x + 4 = 25
Step 1: Simplify both sides of the equation.
2x + 5x + 4 = 25
(2x + 5x) + (4) = 25 (Combine Like Terms)
7x + 4 = 25
7x + 4 = 25
Step 2: Subtract 4 from both sides.
7x + 4 − 4 = 25 − 4
7x = 21
Step 3: Divide both sides by 7.
7x / 7 = 21 / 7
Answer ========> x = 3
Check:
(2x + 5x) + (4) = 25
2(3) = 6
5(3) = 15
3rd Piece = 4
Sum = 25
6ft. + 15ft. + 4ft = 25
25 = 25
Hope that helps!!!!!!!!!!!!! : )
