For problems such as this, it can be handy to remember that
.. 1/(1/a +1/b) = ab/(a +b)
The time required to do a job is the inverse of the rate at which the job is done. Rates are added when people work together (in math problems, not in real life).
(2:44)*(3:14)/(2:44 +3:14) = 1:28:52.3
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2:44 = 41/15 hours = 82/30 hours
3:14 = 97/30 hours
Using the formula above, we have a "working together" time of
.. (82/30)*(97/30)/(82/30 +97/30) = 82*97/(30*179) = 3977/2685 . . . hours
.. = 1 hour 28 156/179 minutes
.. = 1 hour 28 minutes 52 52/179 seconds
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Learn to use the fraction functions on your calculator. They can be very helpful.
1) Which two teams had the greatest point difference?
Delta and Beta (85 - 25 = 60)
2) Which two teams had the least point difference?
Delta and Gamma (85 - 75 = 10)
3) What was the average score of the 5 teams?
(45+25+75+85+65) / 5 = 295 / 5 = 59
4) How many more points did Epsilon score than Beta?
Epsilon: 65
Beta: 25
65 - 25 = 40
Epsilon scored 40 more than Beta
<span>5) Which teams scored more than 2 times Beta’s score?</span>
twice of Beta = 25 x 2 = 50
answer
Gamma (75) , Delta (85) and Epsilon (65)
Answer: $10
Step-by-step explanation:
Let's analize the information given: We know that she had $94 to spend on 8 books and after buying these books she had $14. So, we need to calculate the amount of money she spent. Subtract $94 and $14:
Then, to calculate the cost of each book, we need to divide the "Total spent" by 8:
X=5 and y =2.
Here's how you do it.
Multiply the first equation by -3, and the second one by 1.
add the equations to eliminate x.
then solve for y by dividing both sides by -5, which gives us 2.
to solve for x subsitute 2 in for y.
26 percent of 200 is 52 :)
