Answer: speed of the car is 88 miles per hour
the speed of the motorcycle is 78 miles per hour
Step-by-step explanation:
Number of miles travelled by car = 312
Number of miles travelled by motorcycle = 272
Let x = speed of the car
Let y = speed of the motorcycle
If the car's speed is 10mph more than the motorcycle's, it means
x = y + 10 - - -- - - 1
Time taken for car to travel 312 miles is distance /speed = 312/x
Time taken for motorcycle to travel 272 miles is distance /speed = 272/y
The car travels 312 miles in the same time that a motorcycle traveled 272.
This means
312/x = 272/y
312y = 272x
y = 272x/312
Substituting y = 272x/312 into equation 1, it becomes
x = 272x/312 + 10
312x = 272x + 3120
312x-272x = 3120
40x = 3120
x = 3120/40 = 78 miles per hour
x = y + 10 = y + 78
x = 88 miles per hour
Answer:
24x^3+34x^2+53x+8
Step-by-step explanation:
1 pt = 0.5 qts.....so 720 pts = (720 * 0.5) = 360 qts
1 hr = 60 minutes
360/60 = 6
720 pt/hr = 6 qts/min
Hello!
Rate of income tax = Tax paid / Monthly income
⇒ Rate = 8,000 / 40,000
⇒ Rate = 0.2
⇒ Rate = 20%
∴ The rate of income tax is 20%.
1/2X+4=X-4
1/2X+8=X
8=1/2X
16=X
(Pick one of the equations )
y=1/2X+4
y=(1/2)(16)+4
y=12
point: (16,12)