Answer:
30 miles
Step-by-step explanation:
In this context, "per" means "divided by", so to find miles per gallon, divide miles by gallons:
(56 1/4 mi)/(1 7/8 gal) = 30 mi/gal
The vehicle can travel 30 miles per gallon of gas.
_____
My calculator divides mixed numbers directly, as many graphing calculators do. If you're working this out by hand, you can convert to improper fractions, then multiply the numerator by the inverse of the denominator.
(56 1/4)/(1 7/8) = (225/4)/(15/8)
= (225/4)·(8/15) = (225/15)·(8/4)
= 15·2 = 30
Answer:
c
Step-by-step explanation:
That is the correct answer
that is correct
velocity is the slope (which can be calculated after finding the derivative) → given function f(x), velocity = f'(x).
acceleration is the slope of the velocity (which can be calculated after finding the derivative of the velocity) → given function f(x), acceleration is f''(x)
**************************************************************************************************
1a) A → B
f(x) = 
f'(x) = 
1b) B → C
f(x) = 
f'(x) = 
= -5
1c) C → D
f(x) = 20
f'(x) = 0
Hope this helps!
The first step to solving a story problem is identifying variables. For this problem, I will identify the variables as:
D = Drew's age
J = Jimmy's age
Once the variables are identified, we need to find as many equations as we have variables. Since we have two variables, we will have to write two equations.
Since Drew is 3 years younger than Jimmy: D + 3 = J
Since the sum of the brothers' ages is 21: D + J = 21
Once I have two equations is two variables, I can solve the system using either substitution method or elimination method. For this problem, I will use substitution method.
D + J = 21 Equation 2
D + (D + 3) = 21 Substitution of value of J from equation 1 into equation 2
D + D + 3 = 21 Associative property of addition
2D + 3 = 21 Simplify
2D + 3 - 3 = 21 - 3 Subtract 3 from each side
2D = 18 Simplify each side
2D/2 = 18/2 Divide each side by 2
D = 9 Simplify each side
Now that we have D, we can substitute it into equation 1 to get the value of J
D + 3 = J Equation 1
9 + 3 = J Substitution
12 = J Simplify
The parents could have 3 boys and 3 girls in 400 ways
<h3>How to determine the number of ways?</h3>
The given parameters are
Children, n = 6
Boys, r = 3
Girls, r =3
The number of combination is:
So, we have:
Apply the combination formula
This gives
Ways = 400
Hence, the parents could have 3 boys and 3 girls in 400 ways
Read more about combination at:
brainly.com/question/11732255
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