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
Interest rate = 7%
I= PRT where I is the interest earned, p is the principal, r is rate as a decimal, and t is time in years.
A - P will give us the interest earned.
12,150 - 9,000 = 3,150
3150 = (9000)(r)(5)
3150 = 45,000r
r = 0.07
r = 7%
Mrs. Brown's class will earn 30 minutes of recess.
ANSWER : both angles are 60 degrees and x is equal to 8.
10x - 20 = 7x + 4
Move the terms
3x = 24
x= 8
Sub back in to find the value:
80 - 20 = 60
56 + 4 = 60
Please mark as brainliest
In standard form, -3(1-8x-2y) is:
DISTRIBUTIVE PROPERTY: 3+24x+6y
ANSWER: 24x+6y-3
