If it takes one person 4 hours to paint a room and another person 12 hours to
paint the same room, working together they could paint the room even quicker, it
turns out they would paint the room in 3 hours together. This can be reasoned by
the following logic, if the first person paints the room in 4 hours, she paints 14 of
the room each hour. If the second person takes 12 hours to paint the room, he
paints 1 of the room each hour. So together, each hour they paint 1 + 1 of the 12 4 12
room. Using a common denominator of 12 gives: 3 + 1 = 4 = 1. This means 12 12 12 3
each hour, working together they complete 13 of the room. If 13 is completed each hour, it follows that it will take 3 hours to complete the entire room.
This pattern is used to solve teamwork problems. If the first person does a job in A, a second person does a job in B, and together they can do a job in T (total). We can use the team work equation.
Teamwork Equation: A1 + B1 = T1
Often these problems will involve fractions. Rather than thinking of the first frac-
tion as A1 , it may be better to think of it as the reciprocal of A’s time.
World View Note: When the Egyptians, who were the first to work with frac- tions, wrote fractions, they were all unit fractions (numerator of one). They only used these type of fractions for about 2000 years! Some believe that this cumber- some style of using fractions was used for so long out of tradition, others believe the Egyptians had a way of thinking about and working with fractions that has been completely lost in history.
Answer:
<h2>73 - 11 equals 62. <em><u>
THE ANSWER IS 31.</u></em></h2><h2><em><u>
PLEASE ADD AS BRAINEST.</u></em></h2>
Step-by-step explanation:
The number of visits Liam can make to earn his first free movie ticket is: 8.4.
<h3>
Number of visits Liam can make</h3>
Let x represent the number of visits
Formula
55+12.5×x=160
Re-arrange
12.5x=160-55
12.5x=105
Divide both side by 12.5x
x=105/12.5
x=8.4 visits
Therefore the number of visits Liam can make to earn his first free movie ticket is: 8.4.
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Answer:
sorry j don't have my calculator but
sine of angle x°=opposite 6cm/9cm
byee
Answer:
-71 + 22n is the equivalent expression.
This is the simplified expression.
Step-by-step explanation:
4(-11 + 4n) -3(-2n + 9)
= -44 + 16n + 6n - 27
= -44 + 22n - 27
= -71 + 22n