Mathematics, 04.07.2019 06:30 hrijaymadathil

Ned is planning a 248-mile trip from cleveland to cincinnati. he believes he can average 52 miles per hour on the trip. if he needs to be in cincinnati by 1: 00 p. m., what is the latest time he can leave cleveland to make it to cincinnati on time, traviling at this rate?

Answers: 1

Show answers

Answers

Answer from: raikespeare5080

Hi there!

Here are the important information we know :

The trip is 248 miles

He can drive 52 miles in an hour

Let's start by fiding how long it will take him to drive 248 miles by using the cross product method :

52 miles → 1 hour

248 miles → x hours

(1 × 248) ÷ 52 = x

248 ÷ 52 = x

4.76923077 = x

4.77 ≅ x

0.77 × 60 = 46.2 ≅ 46

So it will take him about 4 hours and 46 minutes to drive 248 miles.

Knowing that he needs to arrive at destination at 1:00PM :

The answer is : he can leave at the latest 4h and 46 minutes before which would be at 8:14AM.

There you go! I really hope this helped, if there's anything just let me know! :)

Answer from: Quest

The clear answer is clearly 25 is very clear to me

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

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 = $\frac{1-0}{3-0} = \frac{1}{3}$ .

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

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

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

$y> \frac{1}{3}x$ .

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

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

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

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Another question on Mathematics

Mathematics, 21.06.2019 20:00

Suppose a store sells an average of 80 cases of soda per day. assume that each case contains 24 cans of soda and that the store is open 10 hours per day. find the average number of soda that the store sells per hour.

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

The construction of copying qpr is started below. the next step is to set the width of the compass to the length of ab. how does this step ensure that a new angle will be congruent to the original angle?

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

Hurry can a triangle can be constructed with angles measuring 115°,55°, and 20°? yes or no

Answers: 2

Answer

Mathematics, 22.06.2019 05:30

There are 180 white lockers in a school. there are 3 white lockers for every 5 blue lockers blue. how many lovkers sre there im tje school

Answers: 2

Answer

You know the right answer?

Ned is planning a 248-mile trip from cleveland to cincinnati. he believes he can average 52 miles pe...