I really hope this helps.
Suppose the time taken for the repairman to fix one pair of shoes is x, time taken by the assistant will be 1.5x.
The number of shoes repaired by shoe man in an hour will be:
1/x
the number of shoes prepared by assistant in 1 hour will be:
1/1.5x
the number of shoes repaired by both of them in 1 hour will be:
8/20
hence;
1/1.5x+1/x=8/20
2.5/(1.5x)=2/5
cross-multiplying our equation we get:
2.5*5=1.5x*2
7.5=3x
x=7.5/3
x=2.5 hours
therefore we conclude that it takes the repairman 2.5 hours to fix one pair of shoes.
Answer: The variable
represents the number of packages of corn.
Step-by-step explanation:
1. You have the following expression given in the problem:

2. Then, if the expression represents the cost of the corn for a number of packages, then the price of a package (which is $3.59) must be multiplied by the number of packages (which must be represented by the variable
).
3. Therefore, you can conclude that the variable
represents the number of packages of corn.
At the beginning, the chances that the teacher will choose a student who has forgotten his lunch are 2/10, or 1/5.
If the teacher now chooses another student from the remaining 9 students, the chances of his choosing a student who has forgotten his lunch are 1/9, since one of the forgetful students has already been removed from the original group of 10 students, and there are only 9 in the group remaining.
The probability that both students forgot lunch is (1/5)(1/9), or 1/45.