Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Answer:
Short piece: 9 ft
Long piece: 41 ft
Step-by-step explanation:
The first step to solving this problem is to translate the given information into some equations. Since we know the total length of the rope is 50 feet, the solution when adding the equation for the short piece and the equation for the long piece must be 50. The information from the second sentence can be translated into a mathematical expression. The phrase "5 more than 4 times" has two key words. They are "times" and "more". "Times" implies multiplication while "more" implies addition. Therefore this sentence becomes the expressions 5+4x, where x is the length of the short piece.
The equations we have from the problem statement are:
L = 5+4x where L represents the length of the long piece and x represents the length of the short piece
x + L = 50
Substituting the equation for the long piece into the equation for total length:
x + (5+4x) = 50
5 + 5x = 50
5x = 45
x = 9 ft
Substituting x = 9 into the equation for the long piece:
L = 5 + 4(9)
L = 5 + 36
L = 41 ft
Checking the answers by substituting x = 9 and L = 41 into the equation for total length:
x + L = 50
9 + 41 = 50
50 = 50
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
