The time t requires to drive a certain distance varies inversely with the speed r. if it takes 2 hours to drive the distance at 30 miles per hour , how long will it take to drive the same distance at 50 miles per hour

The equation for this would be expressed as d=k/t. Using this equation we could plug in the find the value of k which would be expressed as 30=k/2. This means k=60. The final equation would be d=60/t. Plugging in the 50 miles would get us the time to travel this distance.

The time would be 1.2 hours or 1 hour and 12 minutes.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: