Two cities Asheville and Boulder are 2.5 inches apart on a map. A third city well spring is located exactly halfway between Asheville and Boulder. If the scale is 0.5 inches = 15 miles find the actual distance from wellspring to Boulder

75miles

Step-by-step explanation:

Let A be the location of Asheville, B be the location of Boulder and W be the location of wellspring.

If well spring is located exactly halfway between Asheville and Boulder, then;

AW + WB = AB

If Asheville and Boulder are 2.5 inches apart on a map, then AB = 2.5 inches

The actual distance from wellspring to Boulder is WB

Since W is the midpoint of A and B, then AW = WB. The equation becomes;

WB + WB = AB

2WB = AB

WB = AB.2

WB = 2.5/2

WB = 1.25 inches

Hence the distance from wellspring to Boulder is 1.25inches.

Since  0.5 inches = 15 miles on the map,

1.25inches = x

Cross multiply;

0.5x = 15 * 1.25

0.5x = 18.75

x = 18.75/1.25

x = 75miles

Hence the actual distance from wellspring to Boulder is 75miles

answer:

what is your question that you ask

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: