Question

1. one route along flat terrain from hermansville to melville is to drive straight north from hermansville for 120 miles to jamestown, then, at jamestown, to drive straight west for 80 miles to melville. if a straight, flat road existed between hermansville and melville, approximately how many miles long would it be?

a. 200
b. 144
c. 100
d. 98
e. 40

1. what value of ( x ) will satisfy the equation ( 0.2(x - 2,700)=x )?

a. -675
b. -540
c. 0
d. 540
e. 675

Explanation:

Step1: Expand the equation

$$0.2(x - 2700)=x$$
$$0.2x-540 = x$$

Step2: Rearrange the terms

Subtract \(0.2x\) from both sides:
$$- 540=x - 0.2x$$

Step3: Simplify the right - hand side

$$-540 = 0.8x$$

Step4: Solve for \(x\)

Divide both sides by \(0.8\):
$$x=\frac{-540}{0.8}=-675$$

Answer:

A. - 675