The State wants to build a power station along an East-West highway to supply power
to four small towns, A, B, C, & D located along the highway. Town C is 100 miles West of D and 85 miles East of B. Town A is 30 miles West of B. The cost of connecting the power station to any town in $1000 per mile of cable. The total budget cannot exceed $230,000. Where can the power station be located? You must provide a separate cable connection from the power station to each town.

For the total budget not to exceed $230,000 the distance from town A to the power plant should be 147.5 miles

Step-by-step explanation:

We are given the cost of connection of power to a town as $1,000.00 per mile of cable

Location of the towns as

A = 30 miles West of B

C = 85 miles  East of B

C = 100 miles west of D

Therefore let the location of the power station be Z such that the total cost of supplying power to the four towns = $230,000

And let the distances of the town from the power station be

Z - A = a miles

Z - B = b miles

Z - C = c miles and

Z - D = d miles

Therefore, (a + b + c + d) × 1000 = $230,000

Hence, (a + b + c + d) = 230 miles

Since the towns are;

A = Start

B = 30 miles

C = 115 miles

D = 215 miles

4·Z - (A + B + C + D) = 230 where A = 0

4·Z - (B + C + D) = 230

4·Z - (30 + 115 + 215) = 230

4·Z = 230 + 360 = 590

Z = 147.5 miles

The location of the power plant should be at 147.5 miles  from town A.

which of the following can speed up the rate at which the liver breaks  

down alcohol?

question 1 options:

carbohydrates  

coffee  

nothing  

high-protein meals  

step-by-step explanation:

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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