Solve this linear equation for p. 2.6(5.5p – 12.4) = 127.92

1.  Distributive property:14.3p − 32.24 = 127.92
2.  Addition property of equality:14.3p − 32.24 + 32.24 = 127.92 + 32.24
14.3p = 160.16
3.  Division property of equality:
14.3p
14.3
=
160.16
14.3
4.  Solution:p =
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Factor the expression using the gcf. the expression 21m−49n factored using the gcf

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?