Answer: -2x+7y+16
Step-by-step explanation:
1. Distribute 2 through the parentheses
- 4x+6y+3(5-2x)+1+y
- 4x+6y+15-6x+1+y
2. Collect like terms
- -2x+6y+15+1+y
- -2x+7y+15+1
- -2x+7y+16
3. Solution, -2x+7y+16
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
C = kmt
k = C/mt
Units of k are Calories per pound - minute.
Answer:
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Step-by-step explanation:
