Solve each problem that has a solution. if a problem has no solution, explain why
1. lee and jessie swam towards each other from opposite sides of a lake that is 3.9
km wide. they began swimming a 2: 00p. m. and met a 2: 30 p. m. lee's speed was
1 km/h greater than jessies speed . find their speeds.
2. a rectangle is 4 cm longer than it is wide . if the length and width are both decreased by 2cm , the area is decreased by 24 cm^2. find the dimensions of the original rectangle .
3. roy says he has more nickels than dimes . if he has $5.20, how many of each coin does he have ?

2. Let the length of the rectangle be x cm and the width = (x - 4) cm. Area = x(x - 4) = (x^2 - 4x) cm^2

If the length and the width are both decreased by 2cm, new length = (x - 2) cm and new width = (x - 4 - 2) = (x - 6) cm. New area = (x - 2)(x - 6) = (x^2 - 8x + 12) cm^2

Original area - 24cm^2 = new area

x^2 - 4x - 24 = x^2 - 8x + 12

-4x + 8x = 12 + 24

4x = 36

x = 36/4 = 9cm

Therefore the original length of the rectangle = 9cm while the original width is 9 - 4 = 5 cm.

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)

i believe that the slope of the line is -5

step-by-step explanation: