Acar traveled 3⁄4 mile in one minute at constant speed. what was the speed of the car in miles per hour? ? miles per hour (hint: convert one minute to a fraction of an hour.)

the fractions are set up so minutes cancel out

multiply the numerators to get 45 miles

multiply the denominators to get 1 hour

45 miles per hour

hope this helped

Distance traveled by car in one minute = 3/4 mile

The relation between hour and minutes is given by:

one hour = sixty minutes

one minute = 1/60 hours

so we can replace one minute by 1/60 hours

Distance traveled by car in one minute =3/4 mile

Distance traveled by car in 1/60 hour =3/4 miles

distance traveled by car in 1 hour = (3/4) ÷(1/60)

In division we take reciprocal of the number after division sign and multiply it with first.

Reciprocal of 1/60 is 60

so multiplying 3/4 and 60

So distance traveled by car in one hour is 45 miles.

Speed of car is 45 miles per hour .

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