Answer:
3.2
Step-by-step explanation:
First, evalue what's inside of the absolute value:
3.1 + (-6.3) = -3.2
Now, since absolute value means the distance from the number to 0, the absolute value of -3.2 is the negation of -3.2:
|-3.2| = 3.2
Answer:
5.14 mi/h
Step-by-step explanation:
To find the average speed, we simply find the total distance traveled by Tom and divide that by the total time the entire journey took him.
Average speed = (total distance traveled) / (total time taken)
TOTAL DISTANCE TRAVELED
He traveled 3 miles to and 3 miles fro. Hence:
3 + 3 = 6 miles
TOTAL TIME TAKEN
He spent ½ hr to go and ⅔ hr to return back. Hence:
½ + ⅔ = 7/6 hr
Therefore, the average speed is:
v = 6 / (7/6)
v = 36 / 7 = 5.14 mi/h
Tom's average speed was 5.14 mi/h.
Set the question up as an equation, where x is equal to the cost of a game
FRIDAY: 5+3x
SATURDAY: 3+5x
∴ 5+3x=3+5x
2=2x
x=1
Therefore the cost of 1 game is $1
Answer:
67 eghan says the difference between the least amount of time it takes a student to say the alphabet and the greatest amount
Step-by-step explanation:
The question is incorrect.
The correct question is:
Three TAs are grading a final exam.
There are a total of 60 exams to grade.
(c) Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The TAs grade at different rates, so the first TA will grade 25 exams, the second TA will grade 20 exams and the third TA will grade 15 exams. How many ways are there to distribute the exams?
Answer: 60!/(25!20!15!)
Step-by-step explanation:
The number of ways of arranging n unlike objects in a line is n! that is ‘n factorial’
n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1
The number of ways of arranging n objects where p of one type are alike, q of a second type are alike, r of a third type are alike is given as:
n!/p! q! r!
Therefore,
The answer is 60!/25!20!15!