Forty increased by 4 times a numberis 8 less than 6 times the number. find the number
1 answer:
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Answer:
The Length of swimming pool is 8.35 feet
The width of swimming pool is 5.35 feet
Step-by-step explanation:
Given as :
The length of swimming pool is 3 feet longer that its width
Let The width of swimming pool = w feet
So, The Length of swimming pool = L = (w + 3) feet
Now, The swimming pool is surrounded by deck of 2 feet wide
The width of deck = w' = w + 2 + 2 = (w + 4) feet
The area of deck = 116 feet²
The length of deck = L' = L + 2 + 2 = (L + 4) feet
So, L' = (w + 3 + 4) feet
I.e L' = (w + 7) feet
∵ The area of deck = 116 feet²
So , L' × w' = 116 feet²
(w + 7)× (w + 4) = 116
Or, w² + 4 w + 7 w + 28 = 116
Or, w² + 11 w - 88 = 0
Solving the quadratic equation as
ax² + bx + c = 0
So, w =
Or, w =
Or, w =
or, w =
or, w = 5.35 , -16.35
The width of swimming pool = w = 5.35 feet
The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet
Hence, The Length of swimming pool is 8.35 feet
And The width of swimming pool is 5.35 feet
Answer
Answer:
See explanation
Step-by-step explanation:
A. Gasoline fill-up fee = $4.50
Cost per hour = $40
Average cost = C
Number of hours the scootcar is rented = h
Cost per h hours = $40h
Total cost = $40h + $4.50
Hence,
C = 40h+4.5
B. To plot the graph of the function, find h- and C- intercepts.
When h = 0, then C = 4.5, and we have point (0,4.5)
When C = 0, then 0 = 40h + 4.5, h = -45/400 = -0.1125, and we have point (-0.1125,0)
Plot these two points and connect them with a straight line.
Graph is attached, but you should take only that part of the graph that corresponds to points with h > 0, because the number of hours cannot be negative
Answer:
Steps and solution in the attached picture.
Step-by-step explanation:
Steps and solution in the attached picture.
