Answer:
b. 70
Step-by-step explanation:
The Binomial Coefficient can be used to calculate the number of ways objects can be arranged.
<u>Binomial Coefficient</u>
The exclamation mark "!" placed after a number means factorial and indicates to multiply all whole numbers from the given number down to 1.
Example: 4! = 4 × 3 × 2 × 1
The Binomial Coefficient gives us the number of ways of picking "r" unordered outcomes from "n" possibilities.
As there are 8 friends ⇒ n = 8.
As each car takes 4 friends ⇒ r = 4.
Substitute these values into the formula:
Learn more about the binomial coefficient here:
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A) cost = (cost/gallon)*gallons
.. 83.58 = 3.799*gallons
.. 83.58/3.799 = gallons ≈ 22.001
The SUV has a 22-gallon tank.
B) miles per gallon = miles/gallons
.. miles per gallon = (24297 -24033)/((3/4)*22) = 264/16.5 = 16
The gas mileage for the trip was 16 miles per gallon.
Answer:
Part A:
x+y= 95
x = y+25
Part B : 35 minutes
Part C : No
Step-by-step explanation:
Eric plays basketball and volleyball for a total of 95 minutes every day
x+y= 95
Where:
x =the number of minutes Eric plays basketball
y= the number of minutes he plays volleyball
He plays basketball for 25 minutes longer than he plays volleyball.
x = y+25
System:
x+y= 95
x = y+25
Replacing x=y+25 on the first equation:
(y+25) + y =95
Solving for Y
y+25+y =95
25+2y=95
2y=95-25
2y=70
y = 70/2
y = 35 minutes
Part C : No
if x = 35
x+y= 95
35+y =95
y= 95-35
y = 60 minutes
Replacing y=60 on the other equation:
x = y+25
35 = 60+25
35 ≠85
Answer:
4x=289
Step-by-step explanation:
this expression could easily help find what the number is by 289/4
Answer:
816 square feet
Step-by-step explanation:
13(16+20+12) + 16(12) = 816
