It is a linear equation so there can be 1 solution, 0 solutions, or infinite solutions
4(x-5)=4x-24
distribute
4x -20 = 4x-24
subtract 4x from each side
-20 = -24
no solutions
Sorry, I didn't use fraction strips but,
2. 2/4
3. 4/6
4. 6/8
5. 1 is equivalent to 3/3 based on this problem so the answer is 1/3
6. 6/10
7. 2/4
8. 2/6
Hope this helped even without fraction strips! :)
a. By definition of conditional probability,
P(C | D) = P(C and D) / P(D) ==> P(C and D) = 0.3
b. C and D are mutually exclusive if P(C and D) = 0, but this is clearly not the case, so no.
c. C and D are independent if P(C and D) = P(C) P(D). But P(C) P(D) = 0.2 ≠ 0.3, so no.
d. Using the inclusion/exclusion principle, we have
P(C or D) = P(C) + P(D) - P(C and D) ==> P(C or D) = 0.6
e. Using the definition of conditional probability again, we have
P(D | C) = P(C and D) / P(C) ==> P(D | C) = 0.75
The most she can pay for the jacket is $375 (=600/(100%+60%)) assuming this is the cost of the jacket before it sewn with metallic threads and beads. A markup is a difference between the production cost and the selling price in order to cover the additional cost related to the product. Based on the data, she wants to keep the 60% for covering the cost.
