Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 30 mph faster than the other. In 2.5 hours, the trains are 205 miles apart. Find the speed of each train


Answers

Answer 1

9514 1404 393

Answer:

  56 mph, 26 mph

Step-by-step explanation:

The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...

  s + (s+30) = 82

  2s = 52 . . . . . . . . . . subtract 30

  s = 26 . . . . . . . . . divide by 2

  s +30 = 56 . . . the speed of the other train

The speeds of the two trains are 56 mph and 26 mph.


Related Questions

I need to turn this in before 11:59!!!!!!
Solve for x.
4.0 – 3
3
= 7
Enter your answer in the box.
X=

Answers

Answer:

I'm sorry if its incorrect

Answer:

x=6

Step-by-step explanation:

answer is in the photo

Find f(0) and f(6)

f(x)= x^2+10x+72/x^2-12x+36

Answers

Answer:

f(0) = 2     f(5) = 147

Step-by-step explanation:

f(0) = (0²+10·0+72)/(0²-12·0 + 36)   Substitute 0 for x and solve.

      = 72/36

       = 2

f(5) = (5²+10·5+72)/(5²-12·5 + 36)      Substitute 5 for x and solve.

     = (25 + 50 + 72)/(25 - 60 +36)

     = 147/1

      = 147

Write an equation in point slope form that goes through the point (3,5) and is perpendicular to the line y=1/3x-7

Answers

Answer:

[tex]y - 5 = - 3(x - 3)[/tex]

Step-by-step explanation:

our original equation

[tex]y = \frac{1}{3} x - 7[/tex]

A perpendicular slope of a line is the negative reciprocal

So our slope would be -3

point slope form is

[tex]y - y1 = m(x - x1)[/tex]

let's substitute our given point (3, 5) and our perpendicular slope, -3

[tex]y - 5 = - 3(x - 3)[/tex]

Help very urgent, . . .

Answers

Answer: 3.1

Step-by-step explanation:


The answer is 3.1 hope this helps

Help with this problem

Answers

Answer:

You should use AAS for this problem

Step-by-step explanation:

Maybe Brainliest Please

NO LINKS!!!

Absolute Value: y = |x|

Shape:
Domain:
Range:
Locater point:​

Answers

Answer:

Given function:

y = |x|

An absolute value function has a shape called V- shape.

Domain: All real numbers x ∈ { -∞, +∞)

Range: All numbers greater than the y- coordinate of the vertex

y ≥ 0 or y ∈ [0, +∞)

Locator point is the vertex which is at (0, 0)

This question in algebraic expression and number form : the difference between 20 and x

Answers

Answer: Let the numbers be x and y.

x+y = 20 …(1)

x-y = 10 …(2)

Add (1) and (2)

2x = 30, or x = 15, and so y = 5.

The product of the two numbers = xy = 15*5 = 75.

Step-by-step explanation:

Ava is thinking of a four-digit number described below.

1. The value of the digit in the hundreds place is 100.
2. The value of the digit in the ones place is 3.
3. The value of the digit in the thousands place is 4,000.
4. The value of the digit in the tens place is 70.
What number is Ava thinking of? Enter your answer in the box.

Answers

4173

Hope this helped you- have a good day bro cya)

Hundreds place = 1

Ones place = 3

Thousands place = 4

Tens place = 7

Number: 4173

Hope this helps!! :)

Please help with question got stuck

Answers

Answer:

y=4x

Step-by-step explanation:

Justine has 4 1/2 pounds of red apples, 3 1/4 pounds of green apples, and 2 1/4 pounds of yellow apples. How many kilograms of apples does she have?

Answers

4 1/2 + 3 1/4 + 2 1/4 = 10 pounds of apples.

10 pounds is approximately 4.5 kilograms.

what is the product of the roots of quadratic equation?​

Answers

Product of the roots = c/a = c

Hope this helped you- have a good day bro cya)

Hi, I need help with homework on review for test.

Answers

Answer:

-24+48i

Step-by-step explanation:

yan po ata sagot

Can yall please help me with this I am helping my brother I just need the answers lol.

Answers

Answer:

hope it helps

Step-by-step explanation:

4. 1/3

5. 1/3

6. 3/4

7. 1/4

8. 1/2

9. 3/7

10. 2/7

11. 3/5

12. 2/3

Indhu has 150 stamps and Clarissa has 78 stamps. How many stamps must Indhu give Clarissa so that they will have the same number of stamps?​

Answers

Answer:

36 stamps

Step-by-step explanation:

150+78=228

228/2=114

150-114=36

There are 32 students in the 6th grade at Garden Valley Middle School. Eight of them have freckles. What is the ratio of 6th graders with freckles to the total number of 6th graders?
A.
1:4
B.
4:1
C.
1:3
D.
3:1

Answers

Answer:

A. 1:4 is the answer of this question

Answer:

a

Step-by-step explanation:

there's a pattern that goes along with the 32 students in the 6th grade. since 8 is a factor (or multiple?) of 32, and 8x4 is 32, we can simplify.

so, 8 is the first multiple of 32 and 32 is the fourth. if we simplify that, we get 1:4.

the answer is 1:4.

5/6 x 15 in simplest form

Answers

Answer:

25/2

Step-by-step explanation:

5/6 x 15=12.5

12.5 in simplest form is 25/2


help me asap!!!!!!!!

Answers

Answer:

the last option

Step-by-step explanation:

need help with homework plz and thank u :)

Answers

Answer:

B

Step-by-step explanation:

The zeros are where the function crosses the x-axis. In this case, it is 5/2 and -3, which eliminates options C and D. Next, the y-intercept is the point as to where the function crosses the y-axis. Here, it is (0,15), but does not help us to narrow down our options. Finally, the maximum is the highest y-value that the function touches. If you observe the graph at its highest point, it can be inferred that it's y-value is slightly above 15, and so it is at 15.1 (x-value has no importance in this context).

answer is B! hope this helped!

The figure shows how the yard lines on a football field are numbered. The goal lines are labeled G. A referee was standing on a certain yard line as the first quarter ended. He walked 41
3
4
yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line? Express your answer as a simplified mixed number.

The referee was BLANK yards away from the goal line before moving.

Answers

YOU WILL DO YOU GOOD LUCK

Step-by-step explanation:

On a piece of paper, graph y-3 > 2x + 2. Then determine which answer
choice matches the graph you drew.
A
B
с
D
56(0.5
56(0.5)
56(0,5)
5°(0,5
-5 (-3,-1)
5
-5 (-3,-1)
5
5 (-3,-1)
5
6 (-3,-1)
5
-5
A. Graph A
B. Graph B
c. Graph C
D. Graph D

Answers

9514 1404 393

Answer:

  C.  Graph C

Step-by-step explanation:

All of the graphs show the boundary line with the correct slope and y-intercept. To figure which graph, you can ignore everything except "y" and the inequality symbol. That means we're looking at ...

  y >

So, the values of y that are solutions are greater than those on the boundary line. The values on the boundary line are not included. This means the shading of the solution area is above the dashed boundary line, as shown in Graph C.

Eloise rides her bike1 7/10 miles on Wednesday and 1 5/10 miles on Thursday. How many miles does Eloise ride her bike altogether? Enter your answer as a mixed number in the simplest form

Answers

Answer:

3 2/10

Step-by-step explanation:

start with an equation:

1 7/10+1 5/10 = ?

convert mixed fractions into improper fractions:

17/10+15/10 = ?

add:

32/10

simplift:

3 2/10

I'll give Brainliest, I need this now. :D​

Answers

Answer:

I think it's 6:3=18:9=54:27

Step-by-step explanation:

I hope this helps!

In which quadrant does the point (3 , 19) lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant IV

D.
Quadrant III

Answers

Answer:

A.

Quadrant I

Step-by-step explanation:

Quadrant I= Both co=ordinates positive.

Find the measure of the missing angles

Answers

Answer:

H: 119 degrees.

G: 61 degrees.

M: 54 degrees.

K: 126 degrees.

Step-by-step explanation:

3x−(2x+1) simplify the expression

Answers

Solution:

[tex]3x - (2x + 1) \\ = 3x - 2x - 1 \\ = x - 1[/tex]

Answer:

x - 1

Answer: x-1

Step-by-step explanation: in the picture

Determine the better buy. A: $9.60 for 3 gallons B: $16.00 for 400 fl ounces
1 gallon = 128 fl ounces

Answers

Answer:

A is better, you pay 0.015 less than option B.

Step-by-step explanation:

1 gallon = 128 oz so:

3 x 128 =  384 oz

9.60 / 384 = $0.025 per oz

16.00 / 400 = $0.04 per OZ

I am using remainders

Answers

Answer:

Step-by-step explanation:

Is there an image or question?

Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.
Using a line of best fit with the equation y = -3x + 21 to predict the value of y when x = 10 is an example of Choose...

causation
interpolation
extrapolation
correlation

Answers

Answer:

Step-by-step explanation:

D

The admission fee at an amusement park is $6.50 for children and $15.00 for adults. On a certain day, 337 people entered the park, and the admission fees collected totaled $3,423.00. How many children and how many adults were admitted?

Answers

Answer:

192 children and 145 adults were admitted.

Step-by-step explanation:

Let c represent the amount of children and let a represent the amount of adults.

Total fees for children = (Fee for one child) x (Amount of children) = 6.5c

Total fees for adults = (Fee for one adult) x (Amount of adults) = 15a

Total fees = Total fees for children + Total fees for adults

3423 = 6.5c +15a

We know that the amount of people who entered the park was 337. Therefore a+c=337, which means a=337-c.

Sub this in to the equation above to get:

3423 = 6.5c +15 (337-c)

3423 = 6.5c + 5055 - 15c

-1632 = -8.5c

c = 192

So there were 192 children.

Since a=337-c and c=192, a=337-192=145. So there were 145 adults.

PLEASE HELP I NEED TO DO THIS RIGHT

Answers

Answer:

C maybe i dunno but gl

Answer:

A

Step-by-step explanation:

Given a function f(x) where the first derivative with respect to x evaluated in two equals

f'(2)=1/2

The slope of the tangent line is

mt=1/2

Therefore, the slope of the normal line is

mn=-1/(1/2)

mn=-2

Evaluating the given point in the general form

y-y1=m(x-x1)

y-(-1)=-2(x-2)

y+1=-2x+4

y=-2x+3

Other Questions
A brick is thrown upward from the top of a building at an angle of 25 degrees to the horizontal with an initial speed of 15 m/s. If the brick is in flight for 4 s before it hits the ground, how tall is the building? Which of these countries is further north?ColombiaArgentinaCosta Rica How did railroads affect America's economy in the 1800's? In paragraph eight of "Let George Do It," find a word that means named. Type it in the box below. full meaning of XP in computer Charlotte complains that a lot of turnover is coming from branches that used to be First American Bank before the merger. She claims that the employees there were not used to so much oversight. Based on this information, First American was most likely a(n) __________ organization. PLS ANSWER ASAPGlobal winds affect weather patterns around the world. What are the names of the three types of global winds shown in the diagram?A) A are polar easterly winds B are trade winds, and C are gulf winds.B) A are north winds, B are prevailing westerly winds, and C are polar easterly winds.C) A are north winds, B are west winds, and C are east winds.D) A are polar easterly winds, B are prevailing westerly winds, and C are trade winds. Summarise those 3 paragraphsHowever, after a similar effort, while he lay there again sighing as before and once again saw his small limbs fighting one another, if anything worse than before, and didnt see any chance of imposing quiet and order on this arbitrary movement, he told himself again that he couldnt possibly remain in bed and that it might be the most reasonable thing to sacrifice everything if there was even the slightest hope of getting himself out of bed in the process. At the same moment, however, he didnt forget to remind himself from time to time of the fact that calm (indeed the calmest) reflection might be better than the most confused decisions. At such moments, he directed his gaze as precisely as he could toward the window, but unfortunately there was little confident cheer to be had from a glance at the morning mist, which concealed even the other side of the narrow street. Its already seven oclock, he told himself at the latest striking of the alarm clock, already seven oclock and still such a fog. And for a little while longer he lay quietly with weak breathing, as if perhaps waiting for normal and natural conditions to reemerge out of the complete stillness.But then he said to himself, Before it strikes a quarter past seven, whatever happens I must be completely out of bed. Besides, by then someone from the office will arrive to inquire about me, because the office will open before seven oclock. And he made an effort then to rock his entire body length out of the bed with a uniform motion. If he let himself fall out of the bed in this way, his head, which in the course of the fall he intended to lift up sharply, would probably remain uninjured. His back seemed to be hard; nothing would really happen to that as a result of the fall. His greatest reservation was a worry about the loud noise which the fall must create and which presumably would arouse, if not fright, then at least concern on the other side of all the doors. However, it had to be tried.As Gregor was in the process of lifting himself half out of bed (the new method was more of a game than an effort; he needed only to rock with a constant rhythm) it struck him how easy all this would be if someone were to come to his aid. Two strong people (he thought of his father and the servant girl) would have been quite sufficient. They would have only had to push their arms under his arched back to get him out of the bed, to bend down with their load, and then merely to exercise patience and care that he completed the flip onto the floor, where his diminutive legs would then, he hoped, acquire a purpose. Now, quite apart from the fact that the doors were locked, should he really call out for help? In spite of all his distress, he was unable to suppress a smile at this idea write an essay about what you like to do in your free time.... wrong answers=reported Has anyone talked the AP Spanish language and Culture exam before? Is it hard? mad cow disease serves as an example of how interdependent ________ and ________ are to protein. Perimetre of rectangle is 256cm.it length is 3times as long as its breadth.find breadth or length. In the cartoon, who is the large man in the middle? How do you know?I know that a lot of the people in the cartoon are labeled either on their clothes or by their luggage/ the signs they are carrying. But I can't see what the big man's thing says and I can't really identify him, so please help! kia worked 30 hours and 15 minutes this weekend . if she makes $15.60 per hours ,how much did she make? guys pls help me!!!!!!! write the ratio $12 dollars 3 tickets as a unit rate Which of the following is the best example of a hook? What is the coefficient in the expression 8x7? Question 7 options: 7 7 17 17 2. Depressants are very similar to the effects of alcohol.A. TrueB. False Help pleaseeeee its for a grade!!! According to the United States constitution, the president has the power to