Answer:
Step-by-step explanation:
Two consecutive integers be x and (x+1)
x + x +1 = 7²
2x + 1 = 49
2x = 49 - 1
2x = 48
x = 48/2
x = 24
The consecutive integers are: 24,25
Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.
Answer:
90 - 55 = 35
its 35
Step-by-step explanation:
Answer:
x=59/5 or x=11.8 depends on which one you want to do both are true
Step-by-step explanation:
Start with what you are given
angle 4= 5x+6 and angle 3=65 because lines m and n are both parallel angle4=angle3 in other words 5x+6=65
what you want to do is get x by itself.
1. Subtract 6 from both sides
5x+6-6=65-6
5x=59
2. Divide both sides by 5
5x/5=59/5
x=59/5
3. Check to see if you can simplify the fraction and if you teacher wants it in decimals or exact fraction.
x=59/5 or x=11.8 they are the same just ones a decimal the other is left as a fraction
Answer:
the answer is 22.36 or 22.4
Step-by-step explanation: