Problema Solution
The Parker’s are installing a wooden fence in their backyard. They have 330 feet of wood. The length can be no more than 90 feet. Write and solve an inequality to find the maximum width of the fence.
. Mike needs at least a 75% average to pass his math course. The class contains 5 exams that are equally weighted. If he scored a 64%, 86%, 71%, and 90% on the first 4 tests, what score does he need on the final test to earn at least a 75% in the class. Write and solve an inequality.
Answer provided by our tutors
- The Parker’s are installing a wooden fence in their backyard. They have 330 feet of wood. The length can be no more than 90 feet. Write and solve an inequality to find the maximum width of the fence.
l = the length of the fence
w = the width of the fence
the length can be no more than 90 feet
l <= 90
they have 330 ft of wood
2(l + w) <= 330
also l>=w
by graphing the inequalities
l <= 90
2(l + w) <= 330
l>=w
click here to see the graph
for l = w in 2(l + w) = 330 we find
2*2w = 330
w = 330/4
w = 82.5 ft
the maximum width of the fence is 82.5 ft
- Mike needs at least a 75% average to pass his math course. The class contains 5 exams that are equally weighted. If he scored a 64%, 86%, 71%, and 90% on the first 4 tests, what score does he need on the final test to earn at least a 75% in the class. Write and solve an inequality.
let x = the score of the end exam
(64 + 86 + 71 + 90 + x)/5 => 75
by solving we find
x >= 64%
click here to see the step by step solution of the inequality
he needs to score at least 64% on the final test.