shorter side : longer side = 3 : 7
Equate 3 parts tp 9 inches:
3 parts = 9 inches
Find 1 part:
1 part = 9 ÷ 3 = 3 inches
Find 7 parts:
7 parts = 3 x 7 = 21 inches
Area = Length x Width = 21 x 9 = 189 in²
Answer: The longer side is 21in and the area is 189 in²
Solve each of the equations independently, then determine if the are continuous or discontinuous.
15≥-3x [start here]
-5≤x [divide both sides by (-3). *Dividing by a negative number means the direction of the sign changes!]
x≥-5 [just turned around for analysis]
Next equation:
2/3x≥-2 [start here]
x≥-2(3/2) [multiply both sides of the equation by the reciprocal, 3/2)
x≥-3
So, (according to the first equation) all values of x must be greater than, or equal to -5.
(According to the second equation) all values of x must be greater than, or equal to -3.
So, when graphed on a number line, both equations graph in the same direction, so they are continuous.
The constant of proportionality should be 45 miles per hour, and the car should travel 135 miles in three hours.