Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z takes 25 hours. If the city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to, how far will Train Z travel in total to reach its destination?

Answers

Answer 1

Answer:

= x/20=x+400/25

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

Let length of the trip of Train W be = xx miles

Speed of Train W can be given as :

⇒ \frac{Distance}{Time}

Time

Distance

⇒ \frac{x}{20}\ miles/h

20

x

miles/h

So, the length of the trip of Train Z will be = (x+400)(x+400) miles

Speed of Train Z can be given as :

⇒ \frac{Distance}{Time}

Time

Distance

⇒ \frac{x+400}{25}\ miles/h

25

x+400

miles/h

Since the speeds are same, so the equation to find xx can be given as:

⇒ \frac{x}{20}=\frac{x+400}{25}

20

x

=

25

x+400

Solving for xx

Multiplying both sides by 100 to remove fractions.

⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}100×

20

x

=100×

25

x+400

⇒ 5x=4(x+400)5x=4(x+400)

Using distribution.

⇒ 5x=4x+16005x=4x+1600

Subtracting both sides by 4x4x

⇒ 5x-4x=4x-4x+16005x−4x=4x−4x+1600

⇒ x=1600x=1600

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 1600+4001600+400 = 2,000 miles


Related Questions

The area of a square in square feet is represented by z^(2)+12z+36. Find an expression for a side length of the square.

Answers

Answer:

Side is equal to [tex](z+6)[/tex] feet.

Step-by-step explanation:

A square is a four sided polygon in which all sides are equal, diagonals are equal and each angle is equal to [tex]90[/tex]°

Area of a square = side × side

Area of a square [tex]=z^2+12z+36[/tex]

Here, write [tex]12z=6z+6z[/tex]

Therefore,

Area of a square [tex]=z^2+6z+6z+36[/tex]

[tex]=z(z+6)+6(z+6)[/tex]

[tex]=(z+6)^2[/tex] square feet

So,

side × side [tex]=(z+6)^2[/tex]

This implies side is equal to [tex](z+6)[/tex] feet.

If King sets the price at $2.50 per doll how many disappointed customers will each store have during this week?.explain your process in complete sentences

Answers

Answer: about TWO

Step-by-step explanation:

30 POINTS!!!
The illustration below shows the graph of y as a function of x.
Complete the sentences below based on the graph of the function
Answer all of the questions please (A screenshot would help best but anything with all answers is fine) I haven missed a single question yet and hope to continue this streak please help!

Answers

Answer:
1). Increases
2). Slope = 4
3). Slope = -1
4). y = 4 when x = 5
Step-by-step explanation:
1). Initially, as x increases, y also increases. (Linear growth has been shown in the graph initially).
2). Afterward, the slope of the graph of the function is equal to 4 for all x between x = 3 and x = 5.
[Slope of the line passing through two points (3, 0) and (5, 4)
m =
=
=
= 4 ]
3). The slope of the graph is equal to -1 for x between x = 5 and x = 9.
[Slope of the line passing through two points (5, 4) and (9, 0),
Slope =
=
= -
= -1 ]
4). The greatest value of y is y = 4, and it occurs when x = 5. (From the given graph)

Part a) Which animal is the fastest?
Part b) What is the speed of that animal?

Answers

Answer:

cheetah and 70 mph

1.Blue wild beast (33 1/3 / 2/3)
2.Brown hare (8 / 1/6)
3.Cheetah (7 / 1/10)
4.Elk (18 / 2/3)

To find the speed we need to do Distances / time= speed

To divide fraction you used
K -keep
C - change
F - flip

(1) 33 1/2 / 2/3=

67/2 x 3/2=186/4

186/4 = 46.5

2. 8 / 1/6
8/1 x 6/1= 48

3. 7 / 1/10
7/1 x 10/1=70

4. 18/ 2/3
18/1 x 3/2 = 54/2
54/2= 27





1.Blue wild beast (33 1/3 / 2/3) = 46.5
2.Brown hare (8 / 1/6)= 48
3.Cheetah (7 / 1/10) =70
4.Elk (18 / 2/3)=27

Answer :
1. The cheetah is faster

2.
1.Blue wild beast (33 1/3 / 2/3) = 46.5
2.Brown hare (8 / 1/6)= 48
3.Cheetah (7 / 1/10) =70
4.Elk (18 / 2/3)=27

I hope this helped and that I was right, have a nice day.

please answer this through here. People are giving me links that i cant open

Answers

Answer:

Bulldogs

Step-by-step explanation:

3/8 is less then 1/2

3/8 is less than 4/5

3/8 is less than 2/3

what is a common denominator for 1/6 and 3/5

Answers

Answer:

30

Step-by-step explanation:

Answer: 30

Hopes this helps

Factor fully. Solutions should be in the form Factor 1: (4x-3) Factor 2: (x-4)

5x2 − 37x - 24

Factor 1:
Factor 2:

Answers

Answer:

5x² − 37x - 24 = 5x² + 3x - 40x - 24 = x(5x + 3) - 8(5x + 3) =  (5x + 3)(x - 8)

The factors are:

Factor 1: 5x + 3 Factor 2: x - 8

Please help! I just need the second question answered given the first is correct.

Answers

Answer: 0.970 ??

Step-by-step explanation:

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

the answer is a). 3 sides multiply the numbers to get your product

Answer:

3s + 9

Step-by-step explanation:

3 * (S+3) = 3 S + 9

can someone help me, please

Answers

Answer:

The fourth one is -2, -4

Step-by-step explanation:

Hope this helps :)

Thirty-six members of the middle school choir, which represents 30%, participated in the regional contents. How many total students are in the choir?

Answers

Answer:

120

Step-by-step explanation:

Given data

36 members are equivalent to 30%

Let the total number of students  be x

Hence

30% of x= 36

30/100*x= 36

0.3x= 36

divide both sides by 0.3

x= 36/0.3

x= 120 students

Hence the total number of students is 120

Solve the following equation to find the value of x
[tex]45 + x = 50[/tex]

Answers

Answer:

x=5

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!

Answer:

45 plus 5 equal 50

Step-by-step explanation:

Help me please man stop being snide

Answers

Step-by-step explanation:

the area is 36...side length is attained by finding its square root.6cm

using that we can use integers to determine the value of the diagonal opposite.

along the x axis,movement towards the left implies a negative -6

along the y axis, movement upwards implies a positive +6

=(x,y)

=((-2-6),(4+6))

=(-8,10)

9x2(x3 - 1) - 4(x3 - 1)​

Answers

Step-by-step explanation:

[tex] \sf \longmapsto \: {9x}^{2} ( {x}^{3} - 1) - 4( {x}^{3} - 1) \\ \sf \longmapsto \: 9 {x}^{2 + 3} - {9x}^{2} - 4 {x}^{3} + 4 \\ \sf \longmapsto \: {9x}^{5} - {9x}^{2} - {4x}^{3} + 4[/tex]

[tex]\sf Knowledge\:Booster\begin{cases}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{cases}[/tex]

10 added to the difference between t and 8

Answers

Answer:

(t-8)+10

Step-by-step explanation:

Identify the perimeter show work

Answers

Answer:

60

Step-by-step explanation:

The perimeter is the measurement around an object.

So first you multiply the 20 and the 10 by 2.

20 * 2 = 40

10 * 2 = 20

Then, add then up!

40 + 20 = 60

Answer: 60

Step-by-step explanation:

10+10= 20 (both sides)

20+20=40 (other sides)

40+20=60 (total sides)

A water tank holds 944 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds 1,180 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answers

Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

944 + 4x = 1180                

Subtract 944 from both sides.

4x = 1180 - 944

4x = 236      

Divide by 4

x = 236/4

x = 59 weeks

Find the equation of the tangent to the curve
[tex]y = \frac{4}{x} [/tex]
at
[tex](8. \frac{1}{2} )[/tex]

Answers

9514 1404 393

Answer:

  y = -x/16 +1

Step-by-step explanation:

The slope is at any point x is ...

  y' = -4/x^2

so, at x=8, the slope is ...

  m = -4/8^2 = -4/64 = -1/16

The point-slope form of the equation of the line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Then the line with slope -1/16 through point (8, 1/2) is ...

  y - 1/2 = -1/16(x -8)

  y = -1/16x +1/2 + 1/2 . . . . . eliminate parentheses, add 1/2

  y = -1/16x +1 . . . . . equation of the tangent line

(vii) log32 8=m
Again please

Answers

Answer:

log_(32)8= 3/5

Step-by-step explanation:

Log_(32)8 = m

write is as

32^m=8

(2^5)^m = 2^3

2^5m = 2^3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

5m = 3

divide 5 on both sides to remove it from m

m= 3/5

Hope this helps!

The value of m is [tex]\frac{3}{5}[/tex].

What is logarithm?

'Logarithm is the exponent or power to which a base must be raised to yield a given number.'

According to the given problem,

⇒ [tex]log_{32}8[/tex] = m

⇒ m = [tex]log_{32}8[/tex]

⇒ m = [tex]\frac{log 8 }{log32}[/tex]

⇒ m = [tex]\frac{log(2)^{3} }{log(2)^{5} }[/tex]

⇒ m = [tex]\frac{3log2}{5log2}[/tex]

⇒ m = [tex]\frac{3}{5}[/tex]  

Hence, we can conclude, the value of m is [tex]\frac{3}{5}[/tex].

Learn more about logarithm here: https://brainly.com/question/20785664

#SPJ2

What happens to an image that is rotated
Clockwise? Does it turn to the right or to the
left?

Answers

TO THE RIGHT izzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Karen and Ricardo are 279 miles apart driving towards each on the same route. Karen drives at a speed of 59 miles per hour and Ricardo drives at a speed of 65 miles per hour. In how many hours will they meet?

Answers

Step-by-step explanation:

Ok

Had to solve in the comment section because I couldn't find the answer button before. It Just appeared Lol.

You can still check the solution in the first guy's comment section

d=vt will represent the Motion of Both persons

for Karen

d=59t

for Ricardo

d=65t

They're both 279miles away from each other

Meaning

Dk + Dr = 279

59t + 65t = 279

124t=279

t=279/124

t= 2.25hrs.

You can change to seconds if thats how the answer waa presented.

. 6x – 3y = 15
4x + 3y = -5
Method of elimination
Helpppppp it’s for a test I have 2 more questions

Answers

Answer:

x = 1. y = -3

Step-by-step explanation:

Add the two equations together and notice that all terms containing y will disappear, leaving with

10x = 10 or x = 1

Using this value of x into either one of the equations, you'll get

4(1) + 3y = -5 ---> 3y = -9 or y = -3

Please help me with this I don’t know how.

Answers

Answer:

J: 2/45

Step-by-step explanation:

You multiply the probabilities together then simplify

2/15 x 5/15

to get 10/225

simplify to get your answer of 2/45

hii! please help asap. i’ll give brainliest

Answers

Answer: B

Step-by-step explanation:

Answer:

Median = 3500

Step-by-step explanation:

Data Set: 1850, 3500, 4200, 2310, 4260

=> Let's set this to the ascending order (least to greatest) first:

1850, 2310, 3500, 4200, 4260

=> Now as you cancel out the first value, cancel out the last one, and do this until u reach down to only one number:

So our median = 3500

Hope this helps!


17 You already know that a number times its reciprocal equals 1. For example, 3.-
Now complete this equation: 65 .6

LINKS DO NOT WORK

Answers

Answer:

Step-by-step explanation:

6^5

------- = 1 as expected

6^5

(NO LINKS)
The school store sells markers for $0.35 each and pencils for $0.15
each. Anthony spent $2.80 to buy a total of 12 markers and pencils. How
many markers did Anthony buy?
PLEASE HELP !

Answers

Answer:

x = 5 pens

y = 7 pencils

Step-by-step explanation:

let

x = the number of pens

y = the number of pencils

Anthony spent $2.80 to buy a total of 12 pens and pencils

0.35x + 0.15y = 2.80

x + y = 12

by solving the system of equations

0.35x + 0.15y = 2.80

x + y = 12

we find

x = 5 pens

y = 7 pencils


What is the domain of the following graph? Please don't put links down I cant download them.

Answers

Answer:

-infinity, infinity

Step-by-step explanation:

Domain is x, and in a quadratic equation like this one the x axis goes on forever. So the first answer of -infinity, infinity is correct.

Answer:

(-inf, inf)

Step-by-step explanation:

Remember, the domain of the function looks at purely the input values (x-axis), not your output values (y-axis).

Keeping this in mind, you can see that the x values stretch from the far left, -inf to the far right +inf.

Remember, as infinities aren't considered actual values, you put them in parentheses. This means your answer is (-inf, inf).

is this correct please correct me if i’m wrong.

Answers

Answer: This is correct already.

Step-by-step explanation:

Answer:

You are incorrect. The mean is the average. The correct answer is "The mean is greater than the average"

Mrs. Fulcher had 14 gallon of milk, and she bought 12 gallon more. Her family then drank 58 gallon of milk. How much milk does Mrs. Fulcher have left?

Answers

Answer:

Mrs. Gallon is left with -22 gallon of milk

Step-by-step explanation:

Mrs. Fulcher had 14 gallon of milk

She brought 12 gallon of more milk

Milk consumed by her family - 58 gallon

Milk left with Mrs. Fulcher = 14 + 12 -58  = -22

help me please i will give brainlyest

Answers

Answer:

Answer: 1645.

Step-by-step explanation:

Given data:

No. Of days of rental = 11 days.

Solution:

= 325 + 120d

Input the data for (d) into the equation

= 325 + 120(11)

= 325 + 1320

= 1645.

Step-by-step explanation:

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