Abus travels 36 miles in 45 mins. enter the number of miles the bus travels in 60 mins at this rate.

The answer is 48 miles.

Step-by-step explanation: Given that the bus travels 36 miles in 45 minutes.

We are to find the distance in miles that the bus will travel in 60 minutes.

Obviously, we will be using unitary method to solve this problem. Here it goes.

In 45 minutes, distance travelled by bus = 36 miles

In 1 minute, the distance travelled by bus

∴ In 60 minutes, distance travelled by bus is given by

Thus, the required number of miles is 48.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.