Answer:
k=5/3
Step-by-step explanation:
The variables x and y vary directly. Given that, y = 20 and x = 12
We can write it as :
y=kx
Where k is constant of proportionality
Put the values of x and y
20=12k
k = 20/12
k = 5/3
So, the value of the constant of proportionality is 5/3.
A.) x(x-2)
x^2-2
B.) x(x+6)+3(x+6)
x^2+6x+3x+18
x^2+9x+18
C.) (x+3)(x+6)
x^2+6x+3x+18
x^2+9x+18
looking at the picture above... you do have the radius, is just in the truncated part of the picture... so you have "h" and "r", so just plug them in
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
The expected value of the inseam length of the jeans is found as
30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40
= 
= 
Hence, the third option 33.8 is the correct expected value.
