Two freight trains are delivering cargo. One freight train is delivering coal, and the other freight train is delivering grain. Their
respective distances traveled after x hours is represented in the table and graph below.
y
Grain Freight Train
405
360
315
Σ 270
Coal Freight Train
Time Distance Traveled
(Hours) (Miles)
1
48
2
96
3
144
4
192
225
180
135
8 90
45
0 1 2 3 4 5 6 7 8 9 ►
Time (Hours)
Which freight train is traveling at a faster speed?
OA. Both freight trains are traveling at the same speed.
ОВ.
The coal freight train is traveling at a faster speed.
C.
The grain freight train is traveling at a faster speed.
OD
There is not enough information to determine the speed of the trains.

Answers

Answer 1

Answer:

The coal freight train is traveling at a faster speed.

Step-by-step explanation:

The complete question is attached.

Both trains delivery can be represented using coordinates, where y represent the distance traveled and x represent the hours.

For the coal freight train, we can take two points. Let us use (1, 49) and (3, 147). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-49=\frac{147-49}{3-1} (x-1)\\\\y-49=49(x-1)\\\\y=49x[/tex]

For the grain freight train, we can take two points. Let us use (0, 0) and (3, 135). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{135-0}{3-0} (x-0)\\\\y=45x[/tex]

Since the coal freight train has a slope (49) higher than the grain freight train (45), hence the coal freight train travels faster

Two Freight Trains Are Delivering Cargo. One Freight Train Is Delivering Coal, And The Other Freight

Related Questions

help what is 5+5 i need this `in 1 minit

Answers

Answer:

10

Step-by-step explanation:

I hope you remember this. 5+5=10

The velocity V of an object dropped from a tall building is given by V = V64d, where dis
the distance, in feet, the object has dropped. Find the distance when the velocity is
32 ft/sec.

Answers

Answer:

d = 0.0625 m

Step-by-step explanation:

The velocity of an object dropped from a tall building is given by :

[tex]v=\sqrt{64d}[/tex]

Where

d is the distance in feet

We need to find the distance when the velocity is 32 ft/s

Rearranging for d,

[tex]v^2=64d\\\\d=\dfrac{64}{v^2}[/tex]

Put v = 32 ft/s

[tex]d=\dfrac{64}{32^2}\\\\d=0.0625\ m[/tex]

So, the required distance is 0.0625 m.

Please help me as soon as possible

Answers

Answer:

you will time 2 by 2 then 4 by 4 you get 4 and 16 the multipl

those So you get 64 inches is your anser

What kind of angles are 1 and 5 in the picture below?

Answers

Right angle because you don’t have the full thing

HELP ME PLZZ, ASAP!!

In your own words explain what a Cross Section is.

Answers

Answer:

A cross section is a surface or shape that is exposed by making a straight cut through something especially at right angles to an axis.

Evaluate 18 divided by q when q=1/2​

Answers

Question:

Evaluate 18 divided by q when q = 1/2

__________________________________________________

Answer:

18 divided by q

= 18/q

When q = 1/2,

= (18) / (1/2)

The 2 from the denominator of (1/2) will go up to the numerator of (18) / (1/2). We will be left with,

= (18 * 2) / (1)

= 36/1

= 36

Drag the choices into the boxes to explain how all real numbers have a decimal expansion. The decimal forms of some real numbers, like Response area, terminate, while the decimal forms of other real numbers, like Response area, do not terminate, but have a repeating pattern. Still other real numbers, like Response area, have decimal forms that neither terminate nor repeat.

Answers

Answer:

[tex]\frac{3}{16}[/tex]

[tex]4\frac{2}{11}[/tex]

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{5}=2.2360679...\\\\\frac{3}{16}=0.1875\\\\4\frac{2}{11}= \frac{46}{11}=4.18181818...[/tex]

The decimal forms of some real numbers, like [tex]\frac{3}{16}[/tex], terminate, while the decimal forms of other real numbers, like [tex]4\frac{2}{11}[/tex], do not terminate, but have a repeating pattern. Still other real numbers, like [tex]\sqrt{5}[/tex], have decimal forms that neither terminate nor repeat.

H3LP HELP PLZ...... . . . ..

Answers

Final answer ( 601.7 cm^2 )
!! Not sure !!
But hope it helps

I need help! ASAP!! please and thank you

Answers

Answer: The walking path around it.

Step-by-step explanation:

Remember the Pythagorean's theorem, for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

or

H = √(A^2 + B^2)

Here, A + B is the total distance for the path, while the hypotenuse is the distance for the bridge

Here we can see that:

A = 1170 ft

B = 520 ft

Then:

H = √( (520 ft)^2 + (1170 ft)^2) = 1280.4 ft

Now, let's compute the costs.

For the bridge, we know that each foot costs $11, then for 1280.4 ft the cost is:

Cost of the bridge = (1280.4)*$11 = $14,084.4

And for the walking path, the cost is $6 per foot, then the total cost of the path is:

Cost of the path = (520 ft + 1170 ft)*$6 = $10,140

We know that the bridge is preferred if it is within the range of $1500 for the path's cost.

This range is:

($10,140 - $1,500, $10,140 + $1,500) = ($8,640, $11,640)

Here we can see that the cost of the bridge does not belong to this range, (is higher) so the option we should recommend is the walking path around.

Question is in the picture

Answers

Answer:

y=1/3x -4

Step-by-step explanation:

3y-x=-12

y= 1/3x-4

m=1/3

(gradient is the same since its parallel)

y=mX+c

(2) = 1/3(18) + c

2 = 6 + c

2 - 6 = c

c= -4

(y-intercept)

Therefore: y=1/3x-4

Chloe used an inequality to model the number of minutes she has available to practice piano after school on Thursday.
The solution to her inequality is graphed below.
42 43 44 45 46 47 48 49 50 51 52
How should Chloe interpret this solution?
O She will have a minimum of 45 minutes available to practice.
O She will have a maximum of 45 minutes available to practice.
O She will have fewer than 45 minutes available to practice.
O She will have more than 45 minutes available to practice.

Answers

It’s the last one I did it and got it right

Answer:

b

Step-by-step explanation:

edge 2020-2021

(xoxo proud of you <3)

A parrallelogram has sides 15 cm and 18cm the height corresponding to a 15 com base is 9 cm what is the height corresponding to an 18 cmbase

Answers

Answer: 15(9) = 18h

h = 15(9)/18 = 7.5 cm

Step-by-step explanation:

Find the area of the shape shown below.

Answers

Answer:

the answer is 32

Step-by-step explanation:

brainliest?

hi please help i’ll give brainliest please

Answers

Step-by-step explanation:

it will be 6×6×6 .

I wonder if 3×3×3×3×3×3 will count. I think it won't.

good day^^

A circle is centered at (0,0) and has a radius of 2\sqrt{3}

Where does the point M(−3,2) lie?

Answers

Answer:

Outside of the circle

Step-by-step explanation:

First, find the equation of the circle by plugging in the center point and radius:

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = ([tex]2\sqrt{3}[/tex])²

x² + y² = 12

Plug in point M to see where it lies:

x² + y² = 12

(-3)² + (2)² = 12

9 + 4 = 12

13 ≠ 12

Since this statement is false, point M lies outside of the circle.

Can someone actually help me with this

Answers

Answer: X = 30*

All circles = 360*

we can subtract 260 from that because we know the length of one so we know the other is 130.

We are then left with only 100 and we know the two sides are equivalent so 100 / 2 = 50

What piece of evidence could Quinn add to best strengthen her argument?​

Answers

Answer: A.

Step-by-step explanation: Its seems the only one on topic

Fill in each box with a ratio (aka fraction) that represents the Sin, Cos, or Tan for the angle
specified. (Hint: Soh Cah Toa) Next to each fraction, write it simplified in decimal form.
Please help I need to pass my class

Answers

Answer:

Step-by-step explanation:

sin(D) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{7}{14}[/tex]

         = [tex]\frac{1}{2}[/tex]

         = 0.5

cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{12.124}{14}[/tex]

          = 0.866

tanD = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

        = [tex]\frac{7}{12.124}[/tex]

        = 0.577

Since, sinE = cosD

Therefore, sinE = 0.866

Since, cosE = sinD

Therefore, cosE = 0.5

Since, tanE = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                   = [tex]\frac{12.124}{7}[/tex]

                   = 1.732

Find the measure of the bold angle.- pls help

Answers

Answer:

I am not sure what your "bold angle" is, but x=8.

Step-by-step explanation:

5x+5+16x+7=180

21x+12=180

21x-12=180-12

21x=168

168/21=8

x=8

5x+5+16x+7=180

21x+12=180
-12. -12
168
——-
21
X=8

What is the slope of the line that contains the point (3, 9) and (3, 4)?
A) 6/5
B) 6/13
C) Zero
D) Undefined

Answers

Answer:

D)  Undefined slope

Step-by-step explanation:

Note that the x-coordinate (3) of both given points is 3.  This means that the two points lie on a vertical line.  The slope of a vertical line is undefined.

The correct answer is D)  Undefined slope

Select all that apply.
Which of the following expressions have a quotient of -1?
1/7
(-1)/(-7)
(-1)/7
1/(-7)

Answers

I don’t understand the question can you give more detail
C, D, and E all have a quotient of -1/7.

A system of linear equations has infinitely many solutions. What is known about the slopes and y-intercepts of the graphed equations? Explain your reasoning.

Answers

Answer:

The answer is below

Step-by-step explanation:

The graph of a linear function can be represented as:

y = mx + b;

where y and x are variables, m is the slope of the graph and b is the y intercept.

A system of linear equations has infinitely many solutions, when the lines overlap at every point. In other words, they're the same exact line, having the same equation when simplified.

This means that they have the same slope and y intercepts

Help me please........ ​

Answers

Answer:

The answer is 15

Step-by-step explanation:

add 5 plus 2 equals 7 then divide 10 with 5 equals 2 then 2 times 2 times 2 equals 8 then you have your answer 8 plus 7 equals 15

and the reason I said 2 times 2 times 2 was because there is a 3 and you have to do that 3 times

Hope it helps plz give me brainlist

Solve each equation. Show your work

13a=-5
12−b=12.5
-0.1=-10c

Answers

1) 13a=-5
Make a the subject of the formula by dividing both sides by 13(the coefficient of a)
13a/13=-5/13
Therefore a= -0.385

The second one). 12-b= 12.5
You take the 12 to the other side making b subject of the formula (-b in this case)
-b= 12.5-12
-b= 0.5
(You cannot leave b with a negative sign so you will divide both sides by -1 to cancel out the negative sign)

-b/-1= 0.5/-1
Therefore b=-0.5

The third one). -0.1= -10c
You will divide both sides by the coefficient of c(number next to c) which is -10
-0.1/-10= -10c/-10

Hence, c= 0.01

There are 3 feet in 1 yard. How many feet are equal to 10 yards

Answers

there is 30 feet in 10 yards

Answer:

30 feet

Step-by-step explanation:

There a 3 ft in a yard

If there's 10 yards

then multiply 10 x 3 to get 30 feet

Trish bought 40 feet of fabric to quilts. The fabric cost $2.25 per foot, including sales tax. If Trish paid with a $100.00 bill, how much change should she have received?

Answers

Answer:

$10

Step-by-step explanation:

40*2.25=90

100-90=10

Plsss help I have one question left

Answers

Answer:

I think the answer is c because that would make the most sense

Step-by-step explanation:

Im not 100% tho

I think it’s C but I’m not sure lol

The following two triangles are similar. Find x.

Answers

Answer and Step-by-step explanation:

Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.

So, We would divide 45 by 9 to find the scale factor.

45 divided by 9 is 5.

Now, we divide 25 by this to find x.

25 divided by 5 is 5.

x is equal to 5.

#teamtrees #PAW (Plant And Water)

A textbook store sold a combined total of 414 physics an chemistry textbooks in a week. The number of physics textbooks sold was 60 more than the number of chemistry textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

chemistry textbooks:177

physics textbooks:237

Step-by-step explanation:

414-60=354

354/2=177

177+60=237

David earns a 3% commission on television he sold. On Friday, he sold television priced at $550.What is the commission that David earns for his sale on Friday?

Answers

Answer:

$16.50

Step-by-step explanation:

550 X 3% = 16.50

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