Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound train
travels at 70 miles per hour. How long will it take for the two trains to be 360 miles apart?
Do not do any rounding.

Answers

Answer 1

Answer:

2.4 hours

Step-by-step explanation:

after an hour the distance between them will be 80+70=150 miles

1 hour  .......150 m

x hours .......360 m

x*150=360

x=360/150

x=2.4 hours

Answer 2

Answer: 2.4 hours

Step-by-step explanation:

Distance = speed x time

1st train = 80t

2nd train = 70t

80t + 70t = 360

t = 360/150 = 2.4 hours


Related Questions

What is the vale of of???

Answers

Answer:

B

Step-by-step explanation:

Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.

Answer:

B

Step-by-step explanation:

∠ BDC = 9x ( vertical angles )

∠ ABD and ∠ BDC are supplementary , thus

∠ ABD + ∠ BDC = 180 , substitute values

2x + 105 + 9x = 180 → B

help me VERY FAST !!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x , y ) → (- y, x ) , thus

X(1, - 1 ) → X'(1, 1 )

Y(3, 4 ) → Y'(- 4, 3 )

Z(5, - 1 ) → Z'(1, 5 ) → A

Answer:

A

Step-by-step explanation:

X(1, - 1 ) → X'(1, 1 )

Y(3, 4 ) → Y'(- 4, 3 )

Z(5, - 1 ) → Z'(1, 5 ) → A

Which expression is equivalent to 121 - x^2​

Answers

Answer:

(11-x)x(11+x)

Step-by-step explanation:

-(x^2–121)
-(x^2-11^2)
X^2-y^2
(X+y)(x-y)
-(x+11)(x-11)

What is the surface area of this shape? thank you :)

Answers

Answer:

105

Step-by-step explanation:

5x3=15

2x3=6

2x6=14+(4x1)=18

2x6=14+(4x1)=18

1x3=3

2x3=6

4x3=12

6x3=18

add all of them...

=105

if its right can u pls mark as brainliest?

The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².

What is rectangular prism?

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2(lw + lh + wh)

Where l is length, w is width and h is height.

Given the data in the image;

For the first rectangular prism

Height h = 4cmLength l = 1cmWidth w = 3cm

For the second rectangular prism

Height h = 2cmLength l = 5cmWidth w = 3cm

Now, surface area of the first rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)

S.A = 2( 3cm² + 4cm^2 + 12cm² )

S.A = 2 × 19cm²

S.A = 38cm²

Next, the surface area of the second rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)

S.A = 2( 15cm² + 10cm^2 + 6cm² )

S.A = 2 × 31cm²

S.A = 62cm²

Total surface area TSA = 38cm² +  62cm²

T.S.A = 100cm²

Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²

Learn  more about area of prisms here: https://brainly.com/question/17351910

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Which number produces an irrational number when multiplied by 0.4?

Answers

Answer:

B unless it isnt

Step-by-step explanation:

B- some long decimal

(It’s pi. I hate pi.)

The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will 3:4. Find their present ages..................pls help me

Answers

Answer: 8:11

Step-by-step explanation:

5 and 3 is Hari's ages.

5+3=8 (Now Hari is 8 ages)

7 and 4 is Harry's ages.

7+4=11 (Now Harry is 11 ages)

Ratio is 8:11

Answer:

Harry is 11 and Hari is 8

Step-by-step explanation:

5:7+3:4=8 and 11

HELP NOW
3600 dollars is placed in an account with an annual interest of 9% How much will be in the account after 25 years to the nearest cent !!

Answers

Answer:

A = $ 31,043.09

A = P + I where

P (principal) = $ 3,600.00

I (interest) = $ 27,443.09

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Half the sum of a number and 5

Answers

1 half x plus 5 please mark


what’s the best answer ?????

Answers

Answer:

zero

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line is horizontal and parallel to the x- axis

Since the x- axis has a slope of zero then the line has a slope of zero.

CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH

Answers

Answer:Decreasing

Step-by-step explanation:

Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .

Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.

Answers

Answer:

Center [tex]= (0,0)[/tex]

Vertices  [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].

Step-by-step explanation:

The standard form of an ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]    ...(1)

where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.

[tex]c=\sqrt{a^2-b^2}[/tex]

The given equation of ellipse is

[tex]3x^2+7y^2=21[/tex]

Divide both sides by 21.

[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]

[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]a^2=7,b^2=3[/tex]

[tex]a=\sqrt{7},b=\sqrt{3}[/tex]

Now,

[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]

Therefore,

Center [tex]= (0,0)[/tex]

Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].

For f(x)= 4x+1 and g(x) = x^2 -5, find (f g)(x).
O A. 4x2 -19
O B. 4x3 + x2 - 4x -6
O C. 4x3 + x2 - 20x-5
O D. 4x3 + x2 - 5x -5

Answers

Answer:

The answer is option c.

4x³ + x² - 20x - 5

Answer:

C

Step-by-step explanation:

I don't know how to find the value of x in the isosceles triangle.

Answers

Answer:

x=4

Step-by-step explanation:

split the triangle into two and you will get another smaller triangle as shown in what I have drawn

so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it

so by Pythagoras theorem, 5^2= 3^2 + x^2

then you can solve for x

Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week.

Answers

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

A point is one-dimensional
O A. True
O B. False
SUBMIT​

Answers

Answer:

This is true.

Step-by-step explanation:

A point can only be on one dimension.

Answer:

FALSE

Step-by-step explanation:

i just took it

Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

Answers

Answer:

Step-by-step explanation:

First derivative

[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]

Second derivative

[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]

Third derivative

[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]

Fourth derivative

[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]

What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?
a = StartFraction 26 Over 11 EndFraction
a = 7
a = StartFraction 89 Over 11 EndFraction
a = 621

Answers

Answer:

a=7

Step-by-step explanation:

7(a – 10) = 13 – 2(2a + 3)

Open the bracket

7a-70=13-4a-6

Collect like terms

7a+4a=13-6+70

11a=77

divide both sides by 11

11a/11=77/11

a=77/11

a=7

.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?

Answers

Find out how much David chargers for one hour.
That is 70÷2 which gives you 35.
Then multiply 4.5 hours by 35
your answer will be $157.5

A rectangular room is 2 times as long as it is wide, and its perimeter is 36 meters. Find the width of the room.

Answers

36x2=72 which is the width so 72x2=144 so I’m pretty sure the length is 144

The width of the room is equal to 6 m

What is the area of the rectangle?

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: Perimeter=36 m

Let the length of the room be 2x and width of the room be x

Then we have (2x+x)=36

                             x=12

Thus length =12m & width=6 m

Hence, the width of the room is equal to 6 m

Learn more about the perimeter here:

https://brainly.com/question/20693059

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PLATO USERS!
Select the correct answer from each drop-down menu.

cos(420°) =
sin(450°) =

Answers

Answer:

see below

Step-by-step explanation:

cos(420°) =  cos 60 = 1/2

sin(450°) = sin 90 = 1

Answer:

See below in bold.

Step-by-step explanation:

cos (420) = cos (420 - 360)

= cos 60

= 1/2.

sin 450 = sin(450-360)

= sin 90

=  1.

If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))?

Answers

Answer:

y = x

Step-by-step explanation:

The graph of f(g(x)) is the straight line y = x.

Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1

Answers

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

Use the drop-down menus to complete each statement to describe the relationship
between the number of inches and the number of centimeters.

Answers

Answer:

Step-by-step explanation:

2.54 centimeters = 1 inch

15.24 centimeters = 6 inches

I don't know what other relationships they want :)

PLEASE HELP! WILL MARK BRAINLIEST!!

A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?

1/18
18/121
55/22
22/131

In a bag of marbles, you have 4 green, 3 yellow, 5 blue, and 8 red marbles. What is the probability of picking a blue marble from the bag?
3/20
1/5
1/10
1/4

Answers

Answer:

18/121

1/4

(not 100% sure)

The midpoint of the coordinates (7,9) and (12,11) is ______.
A. (9.5, 10)
B. (13, 12)
C. (19, 20)
D. none of the above

Answers

Answer:

The answer is option a.

Step-by-step explanation:

=(7+12/2 , 9+11/2)

=(19/2, 20/2)

= ( 9.5 , 10)

Hope this helps.

Good question and the answer is A

Find the slope of a line that crosses through (-5,-2) and (9,3)

Answers

5 / 14

if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))

The answer is 5/14..

help help help helphelp h;i

Answers

Answer:

2

Step-by-step explanation:

It's 2 because the numbers go up by 2 each time the mean is identified meaning that the mean of each is 4.

Answer:

I got 2

Step-by-step explanation:

Find x.
A)7
B)7"2
C)"(14)

Answers

Answer:

x = 7

Step-by-step explanation:

Since this is a right triangle, we can use a trig function

tan theta = opposite/ adjacent

tan 45 = 7/x

Multiply each side by x

x tan 45 = 7

Divide each side by tan 45

x = 7/ tan 45

x = 7

Answer:

7

Step-by-step explanation:

It is a 45 45 90 triangle

meaning that the side lenghts will be x, x, x root 2

the hypotenuse will be x root 2, so that means that the side length will be 7

A toy store marks down every toy by 15% in June. How much does a toy cost during June?

Answers

Answer:

since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation:

Marcus has 2 blue pens, 3 red pens, and a green pen in his backpack. He will pick a pen, give it to a friend, and pick another pen. What is the probability that he picks 2 green pens?​

Answers

Answer:

There is a zero percent chance of him giving his friends two green pens.

Step-by-step explanation:

He only has One pen.

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Could someone help me with this trigonometry question where you have find the x which is the adjacent. the reference angle is 39 degree and the opposide side is 30 cm. Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left. How much did the Hamburger weigh originally, if after the second bite there was 160g of it left? Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons ofgas in the tank. Identify the independent and dependent quantity in the situation. Findreasonable domain and range values.A. number of gallons of gas; distance traveled; 10 to 12 gallons; 100 to 120 milesB. number of gallons of gas; distance traveled; 10 to 12 gallons; 250 to 300 milesC. distance traveled; number of gallons of gas; 10 to 12 gallons; 250 to 300 milesD. distance traveled; number of gallons of gas; 250 to 300 miles; 10 to 12 gallons what type of animal is a girrafe? What does Ohms law state?A. Current equal voltage time resistanceB. Voltage equals resistance divided by currentC. Voltage equals current divided by resistanceD. Voltage equals current time resistance Which of the following is a counter example for the given conjecture?Conjecture: All student have school pride.A. Jose goes to school every day.B. Jessica studies and is attentive in class.C. Joanna always wears her school colors and attend all school events she possibly can.D. John does not wear his school colors and does not attend any school event Please answer this VERY EASY QUESTION. WILL MARK BRAINLIEST The Ring of Fire is a string of volcanic sites in the Pacific Ocean that stretches between the Americas, Asia, and Australia. What is the most likely cause of this volcanic activity? The Earths core pushes through tectonic plates here There is a high number of convergent tectonic plate boundaries The melting of tectonic plates by particularly hot parts of the Earth's crust The explosion of energy as a result of a collision between two nearby tectonic plates Whenever there are _____________ in a set of data, the mean is not a good way to describe the data.A. quartilesB. modesC. mediansD. outliers An industrial flywheel (a solid disk) of mass 10.0 kg and radius 17.3 cm is rotating at an angular speed of 22.0 rad/s. Upon being switched to a slower setting, the flywheel uniformly slows down to 13.5 rad/s after rotating through an angle of 13.8 radians. Calculate the angular acceleration of the flywheel in the process of slowing down Which equations could be used as is, or rearranged to calculate for frequency of a wave? method of evaluating a work of artWhich word goes with this definition on the top In each pair, select a substance that is a better heat conductor.1. copper wire / wood 3. water / iron2. water / air 4. iron / glass A student at a university makes money by buying and selling used cars. Charles bought a used car and later sold it for a 20% profit. If he sold it for $4560, how much did Charles pay for the car? Charles paid $? for the car. What are some of the damages that will happen to you if u do not eat foodAnswer In point form please! One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of theperimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4 Select the correct location on the image.Shelly evaluated this expression using the order of operations, but she made a mistake. Which step includes Shelly's mistake?2^2(3-8)divided by 5 - 1Step 1=2^2(-5)divided by 5-1Step 24(-5) divided by 5 - 1Step 3-20 divided by 5 -1Step 4= -20 divided by 4Step 5= -5 What is a political ideology that emphasizednationalism, aggressive expansion, racism and violence and lacked anypersonal rights. The Treaty of Versailles was unfair on Germany.' How far do you agree with this statement? Explain your answer A digital scale measures weight to the nearest 0.2 pound. Whichmeasurement shows an appropriate level of precision for the scale?A.130.4 poundsB.124.75 pounds C.125 poundsD.120 pounds How many lines of rotational symmetry does this shape have?