A freight train and a passenger train leave a rail yard at the same time and travel on parallel tracks,
The passenger train travels 5 mph faster than the freight train. The combined distance traveled
after 3 hours is 135 miles. What is the average speed of the freight train?

A 70 mph
B 20 mph
C 22 mph
D 19 mph

Answers

Answer 1

Answer:

C. 22 mph

Step-by-step explanation

Assign the speed of the freight train as; x mph

Since the passenger train travels 6 mph faster than the freight train, its speed will be; (x + 6) mph

In 2 hours, the freight and passenger trains will have traveled (distance = speed * time);

2x and 2(x + 6) miles respectively

Both add up to 100 miles. Therefore;

2x + 2(x +6) = 100

4x + 12 = 100

4x = 88

x = 22

x + 6 = 28


Related Questions

There are three colors of jellybeans in a jar: Red, orange, and yellow. On a random pick, the probability of getting a red jellybean is 1/8 and the probability of getting an orange jellybean is 1/4. What is the probability of getting a yellow jellybean?

Answers

Answer: 5/8

Step-by-step explanation:

Probability of getting a red jellybean = 1/8

Probability of getting an orange jellybean = 1/4

Probability of getting a yellow jellybean = 1 - (⅛ + ¼)

= 1 - (1/8 + 2/8)

= 1 - 3/8

= 5/8

Therefore, the probability of getting a yellow jellybean is 5/8

CAN ANYONE HELP ME NOW PLEASE ASAP!!

Answers

Answer:

885735

Step-by-step explanation:

Each number is being multiplied by 3

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98415, 295245, 885735

Answer:

885735

Step-by-step explanation:

Its multiplying by 3

5, 15 ,45 ,135 ,405 ,1215 ,3645 ,10936 ,32805, 98415, 295245, 885735

help would be nice right about now:)))

Answers

Answer:

6x+4=52

    -4   -4

6x=48

/6   /6

x=8

Step-by-step explanation:

i hope this helps :)

What’s the answer?!!!!!!

Answers

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 30 , then 30² = 900

20² + 23² = 400 + 529 = 929 ≠ 900

Then the triangle is not right.

Please help my brain isn’t working

Answers

Answer:

2.25

Step-by-step explanation:

substitute x = -2 into y = (2/3)^x

=> y = (2/3)^-2

=> y = 9/4 = 2.25


Find the value of x. Round to the nearest tenth.

Answers

Explanation found in the picture linked below

Find the square root.
-

[tex]\sqrt{x} 9/25[/tex]

Answers

Answer:

1.4

Step-by-step explanation:

............... ..............

0 0

Rami designed a small pond for a restaurant. The diagram below shows the measurements of the pond. How many cubic feet of water are needed to fill the pond?

Answers

Answer:

426

Step-by-step explanation:

5. X<5

Put it on a line plot

Answers

Answer:

Look at the image.

Step-by-step explanation:

Calculate the expected value of playing a lottery ticket game where each ticket costs $5, and the chance of having winning ticket is one in one million, and the payout for having a winning ticket is 4.9 billion dollars. Round the expected value to the nearest cent.

Answers

Answer:

$4895

Step-by-step explanation:

P(winning) = 1 / 1000000 = 0.000001

P(not winning) = 1 - 1/1000000 = 0.999999

Winning amount = 4,900,000,000 - 5 = 4899999995

Amount lost = - 5

__ X: - 5 _________ 4899999995

P(X) : 0.999999 ___ 0.000001

Expected value E(x) = Σx * p(x)

E(x) = - 5(0.999999) + 4899999995(0.000001)

E(x) = - 4.999995 + 4899.999995

E(x) = 4895

Hence, expected value is 4895

The formula for the volume of a pyramid is
V=1/3bh

Which equation solves the formula for h

Answer choices:
F: h=3Vb
G: h=3b/V
H: h=3V/b
J: h=V/3b

Answers

Answer:

h = 3v/b

Step-by-step explanation:

Here, we want to select the equation that solves for h

What this simply means is that we should make h the subject of the formula

Thus, we have 3 * v = bh

3v = bh

h = 3v/b

a truck driver drives at an average rate of 43 miles per hour . at the rate how many miles will he drive in 11 hours

Answers

Answer:

473 miles

Step-by-step explanation:

43 mph for 11 hours = 43×11 = 473

What is the measure of RMN( don’t understand how to get the answer) PLZZZ HELP.

Answers

Answer:

RMN+117°=180

RMN=63°

Angle RMN is on the straight line with <117 in which the sum of angle on a straight line add up to 180 so we subtract 117 from 180 to get RMN

Manny and james and idris equally shared 1/2 of a pie. which fraction of the whole pie did each of them receive? GIVEING BRAINLIEST​

Answers

Answer:

1/6 of whole pie

Step-by-step explanation:

Half a pie divided by three pie eaters is 1/6 pie each.

Answer:

0.16

Step-by-step explanation:

1/3 ÷ by 3 djsjsjjsjssj

Find the area of the following
11cm
6cm​

Answers

Answer:

Area = lw

11 x 6 = 66

Answer is 66 cm squared

i need help on my math problem

Answers

Answer:

420 cubic inches. Or 420 inches cubed

Step-by-step explanation:

V = l * w * h

12 * 7 * 5 = 420

Answer:

7*5*12=  420

Step-by-step explanation:

Volume of a rectangular prism would be Length * width * height.

so the length = 12 inches

the width = 5 inches

and the height = 7 inches

Plug those in and you get 420 inches cubed :)

Help me with this question pls

Answers

A because middle school got 11 and 12 years olds

5. A factory conveyor has an angle of
depression of 18° and drops 10 feet. How
long is the conveyor?

Answers

Answer:

ccccccccc

Step-by-step explanation:

To set a password, you must select 3 numbers from 0 to 9. How many possible passwords can be chosen if each number may be used more than once?

Answers

720

b r u h s t u p id

Find the solution(s) of the following equation.

Answers

Answer:

The answer of this question is none of the above

80% of the tickets sold at a water park were child tickets. If the park sold 720 tickets in all, how many child tickets did it sell?

Answers

Answer:

576 child tickets were sold.

Step-by-step explanation:

Since you know the amount of tickets that were sold and the percentage of the tickets that were child tickets, you have to multiply the number of tickets sold by that percentage to find the answer:

720*80%= 576

According to this, the answer is that 576 child tickets were sold.

Solve these equations: |x-6|=-10

Answers

Answer:

I got x= -4 as the answer. I hope it helps

T.J. invests $8,100 in an account
that earns 7.2% compound interest.
If T.J. does not make any additional
deposits or withdrawals, how much
interest will he earn after 7 years?

Answers

Answer:

I don't know

Step-by-step explanation:

if don't know

Simplify the expression to a polynomial in standard form:
(4x - 5)(2x^2 – 3x - 3)

Answers

Answer:

8x³ - 22x² + 3x +15

Step-by-step explanation:

I do quick mathz

−7x−50≤−1 AND−6x+70>−2

(Choice A)
A
x\geq-7x≥−7x, is greater than or equal to, minus, 7

(Choice B)
B
-7\leq x<12−7≤x<12minus, 7, is less than or equal to, x, is less than, 12

(Choice C)
C
x<12x<12x, is less than, 12


D
There are no solutions

E
All values of xxx are solutions

Answers

Answer:

B. -7 is less than or equal to x, which is less than 12

Step-by-step explanation:

-7x -50 </= -1

add 50 to both sides

-7x <= 49

divide both sides by -7. When you divide and inequality by a negative number, the direction of the inequality changes.

x >/= -7

---------------------------------

-6x + 70 > -2

subtract 70 from both sides

-6x > -72

divide both sides by -6, flipping the inequality sign

x < 12

------------------------------

Since the problem says *and*, we can say x is equal than or greater to -7 and less than 12

-7 </= x < 12

please let me know if you have questions, or if the signs don't come through clearly

Answer:

That other persons explantion and answer is correct.

Step-by-step explanation:

Jesse is planting a vegetable garden. The area of the garden is 16 square yards. Each vegetable plant will need 1/9 of a square yard to grow in. How many vegetable plants will Jesse be able to plant in her garden?

Answers

Answer:

its 144

Step-by-step explanation:

help me pls very much appreciated luvs <33

Answers

Answer:

18

Step-by-step explanation:

Since this is a multiple choice question, I will employ the guess and check method - meaning I will check each answer one by one.

Variable x = dimes = $0.10

Variable y = quarters = $0.25

Set up a system of equations:

x + y = 38

x(0.10) + y(0.25) = 6.80

Plug in each choice into the second equation. You can find the number of quarters that correspond to each number of dimes by using the first equation.

20 dimes:

20 + y = 38

y = 18

20(0.10) + 18(0.25) = 6.80

2 + 4.5 = 6.80

6.5 does not equal 6.80

Because dimes (x) are worth less than quarters (y), this result tells us the answer will be less than 20 dimes as with 20 or more we have less than $6.80. Another example just to show this is true:

38 dimes:

38 + y = 38

y = 0

38(0.10) + 0(0.25) = 6.80

3.8 + 0 = 6.80

3.8 does not equal 6.80.

Since x is worth less than y, we need more of y rather than x. Adding more x will only mean we will get a lower price. Adding more y will mean we get a higher price which is what we need. So only solve for x that is less than 20.

6

6 + y = 38

y = 22

6(0.10) + 32(0.25) = 6.80

0.60 + 8 = 8.60

8.60 does not equal 6.80.

This result is higher than what we wanted (6.80) which means we need more x. Now we only have to solve for x numbers that are greater than 6 and less than 20.

18

18 + y = 38

y = 20

18(0.10) + 20(0.25) = 6.80

1.8 + 5 = 6.8

6.8 does equal 6.8.

Correct!

if x/6 = 6/9 whats the value of x and pls give explanantion

Answers

Answer:

x=4

Step-by-step explanation:

[tex] \frac{x}{6} = \frac{6}{9} = > 9x = 6 \times 6 = > x = \frac{36}{9} = > x = 4[/tex]

An archaeologist divides an area using a coordinate plane in which the coordinates are measured in meters. The vertices of a secret chamber are (-4,-1), (2,-1) , (2,5) , and (-4,5) . Find the perimeter and the area of the secret chamber.

Answers

Answer:

Perimeter = 24 units

Area = 36 square units

Step-by-step explanation:

An archaeologist divides an area using a coordinate plane in which the coordinates are measured in meters. The vertices of a secret chamber are (-4,-1), (2,-1) , (2,5) , and (-4,5) . Find the perimeter and the area of the secret chamber.

We have to find the length of the sides of the rectangle using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For sides A

(-4,-1), (2,-1)

= √(2 - (-4))² + (-1 -(-1))²

= √(2 + 4)² + (0)²

= √6²

= √36

= 6 units

Side B

(2, -1), (2,5)

= √(2 - 2)² + (5 - (-1))²

= √0² + (5 + 1)²

= √0 + 6²

= √36

= 6 units

For side C

(2,5) , and (-4,5)

= √(2 - (-4))² + (5 - 5)²

= √6² + 0²

= √36

= 6 units

For side d

(-4,-1), (-4,5)

= √(-4 - (-4))² + (5 - (-1))²

= √(-4 +4)² + (5 + 1)²

= √0 + 6²

= √36

= 6 units

From the above calculation, all the sides of the secret chamber are equal to one another

Side a = Side b = Side c = Side d

This means the chamber is has the shape of a square.

The perimeter of the secret chamber =

P = 4a

a = Length of one side = 6 units

P = 4 × 6 units

P = 24 units

The area of the secret chamber

A = a²

a = Length of one side = 6 units

A = ( 6 units)²

P = 36 square units

Translate 5 units left and 3 units down.

Answers

Answer: B

Step-by-step explanation: Hope this help :D

The answer is definitely C
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