Train A leaves Paris and travels at a constant speed of 75 mph toward Pisa. At the
same time. Train B leaves Pisa headed toward Paris at a constant speed of 50
mph. Let x represent time traveled in hours and let y represent miles from Paris. If
Paris and Pisa are 500 miles apart, when will the two trains pass each other?

Answers

Answer 1

Answer: [tex]4.016\ hr[/tex]

Step-by-step explanation:

Given

Train A has speed of [tex]v_a=75\ mph[/tex]

Train B has speed of [tex]v_b=50\ mph[/tex]

If Paris and Pisa is 500 miles apart

If they meet x hours after the start

The sum of the distances traveled by Train A and B is 500 miles

[tex]\Rightarrow 75\times x+50\times x=500\\\Rightarrow 125x=500\\\Rightarrow x=4.016\ hr[/tex]

So, after [tex]4.016\ hr[/tex] they will pass each other.


Related Questions

a) If a + 5 = 15, then find the value of a​

Answers

Answer:

The answer is 10

Step-by-step explanation:

a + 5 =15

15-5=10

Answer:

Step-by-step explanation:

a+5=15

a=15-5

a=10

4.3 Given a circle with radius 4 cm, calculate (Use n = 3,14)
The circumference, rounding off to two decimal places.

Answers

Answer:

25

as

2nr

=2×3.14×4

=25.12

=25

Answer all the of the question plsss, and I might give you more points after. I need this plssssssss ty lol. Show all work too.

Answers

Answer:

(3, 6)

Step-by-step explanation:

[tex]y=4x-6[/tex]

[tex]6=4(3)-6[/tex]

[tex]6=12-6[/tex]

[tex]6=6[/tex]

[tex]3y=-2x+24[/tex]

[tex]3(6)=-2(3)+24[/tex]

[tex]18=-6+24[/tex]

[tex]18=18[/tex]

x = 3, y = 6

By substitution method,

[tex]y = 4x - 6[/tex]

[tex]3y = - 2x + 24[/tex]

[tex] \frac{3y - 24}{ - 2} = x[/tex]

[tex]y = 4( \frac{3y - 24}{ - 2} ) - 6[/tex]

[tex]y = \frac{12y}{ - 2} + \frac{ - 96}{ - 2} - 6[/tex]

[tex]y = \frac{12y}{ - 2} + 48 - 6[/tex]

[tex]y = \frac{12y}{ - 2} + 42[/tex]

[tex]y - 42 = \frac{12y}{ - 2} [/tex]

[tex] - 42 = \frac{12y}{ - 2} - y[/tex]

[tex] - 42 = \frac{12y}{ - 2} - \frac{ - 2y}{ - 2?} [/tex]

[tex] - 42 = \frac{12y + 2y}{ - 2} [/tex]

[tex] - 42 = \frac{14y}{ - 2} [/tex]

[tex] - 42 \times - 2 = 14y[/tex]

[tex]84 = 14y[/tex]

[tex] \frac{84}{14} = y[/tex]

[tex]6 = y[/tex]

[tex]\frac{3(6) - 24}{ - 2} = x[/tex]

[tex] \frac{18 - 24}{ - 2} = x[/tex]

[tex] \frac{ - 6}{ - 2} = x[/tex]

[tex]3 = x[/tex]

Therefore,

The solution is (3, 6).

An ordered pair is translated 2 units left and 6 units up. Describe the translation using translation notation.

Answers

Answer:

y = (x+2) + 6

Step-by-step explanation:

Which shows a quadratic function?

Answers

Answer:

OPTION B IS YOUR ANSWER.

You know its a quadratic when the second difference of each y value is same.

Here's what I mean.

Option B

First all x values differ by 1. So we're good on those.

Now for the y values

Which are

3, -1, -3, -3, -1

find the difference between the second and first fod each... Then do this a second time.

If it gives the same value for all the second differences... Then its quadratic.

-1-3 = -4

-3-(-1) = -3 + 1 = -2

-3-(-3) = -3 + 3 = 0

-1-(-3) = -1 + 3 = 2.

The values are -4, -2, 0, 2.

Now find the difference of these(2nd - 1st)

-2-(-4) = -2 + 4 = 2

0-(-2)= 0 + 2 = 2

2 - 0 = 2

Since all second differences gave 2 as their answer....

Option B is your Quadratic Function!!!

Hope this helps!

You have a $9000 bond that earns 3% interest compounded quarterly. How much is the bond word at 6 years?

Answers

Answer:

$10,667.66

Step-by-step explanation:

The formula for calculating the compound interest is expressed as:

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

P is the principal = $9000

r is the rate = 3%

time t = 6years

n = 1/4

Substitute

A = 9000(1+0.03/(1/4))^6/4

A = 9000(1+0.03(4))^1.5

A = 9000(1+0.12)^1.5

A = 9000(1.12)^1.5

A = 9000(1.1853)

A = 10,667.67

Hence the amount after 6 years is $10,667.66

Please help. I will give brainliest. thank you. math isn't my strong suit lol.

Answers

Answer:

b) 1

Step-by-step explanation:

First, bring the -3 to the right side.

x²+4x + 4

now use b²-4ac.

4²-4(1)(4)

16-16

0

If discriminant < 0 there are 2 imaginary solutions

if discriminant > 0 there are 2 real solutions

if discriminant = 0 there is 1 real solution

The discriminant here is 0 so it has one real solution

13 1 point
Determine if the two triangles are congruent. If they are, state how you know.
A) Not enough information
C) SSS
B) SAS
D) AAS

Answers

the SAS is a special forces Unit let's goo

find out the area and perimeter of circle of radius 7cm

Answers

Answer:

[tex]area = \frac{\pi}{4} \times {r}^{2} \\ = \frac{\pi}{4} \times {7}^{2} \\ = \frac{\pi}{4} \times 49 \\ = 38.48451000647 \: cm \: ans......[/tex]

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*(7)^2

=3.14*49

=153.86 cm^2

perimeter of a circle(circumference)=2πr

=2*3.14*7

=14*3.14

=43.96 cm

Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?

−12
−4
3
12

Answers

Answer:

3

X is slope but the equation isnt set up proper

12x-4y=3

-12x -12x

-4y=-12x+3

/-4 /-4

y= 3x+3/-4

Answer:

3

Step-by-step explanation:

-5 times -8 is equal to
[tex] - 5 \times - 8 = [/tex]

Answers

40 is the answer. When a negative is multiplied with a negative the answer will be positive, and 8 times 5 is 40.
-5 times -8 =40
Have a nice day.

Min had some cards
He gave 1/2 of them to bill.
Bill gave 1/3 of those to Sam.
Sam gave Min 2 cards back and kept 6.

How many cards did Min have in the end?

Answers

Answer:

26 cards

Step-by-step explanation:

Sam:

⅓=2+6

=8

Bill:

3/3=3×8

=24

3/3=½

24+2=26

Now ,Min have 26 cards.

hope it help

Find the value of x in The parallelogram.

Answers

Answer:

122 degrees

Step-by-step explanation:

A parallelogram has 360 degrees in total

360 - (58 + 58) = 244

244/2 = 122

I hope this helped you!

Answer:

x = 122

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

x + 58 = 180 ( subtract 58 from both sides )

x = 122

Can someone make me a histogram for this set of data. If you do I’ll mark u as the Brainliest

Answers

Answer:On the vertical axis, place frequencies. Label this axis "Frequency".

On the horizontal axis, place the lower value of each interval. ...

Draw a bar extending from the lower value of each interval to the lower value of the next interval.

Step-by-step explanation:

Answer:

Attached is a file of a sample histogram compiled by Social Science Statistics with the values in the question inputted.

Step-by-step explanation:

Histograms are bar graphs that represent a set of values. The vertical y-axis indicate how many values there are in a certain interval, and the horizontal x-axis indicates those intervals, usually in intervals of 10, but this depends on the range of your data.

A histogram with the following forty (40) values:

37, 22, 28, 25, 53, 29, 37, 41, 54, 29, 23, 30, 37, 41, 27, 26, 39, 24, 36, 48, 45, 31, 27, 40, 38, 41, 39, 37, 30, 44, 42, 46, 53, 43, 44, 43, 49, 51, 38, 32

Helppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

4.4

Step-by-step explanation:

that is the procedure above

Please give real answers with an explaination. 50 points + I will follow + I will give brainliest + 5-star rated. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

B

Step-by-step explanation:

Look at the figures below.

Figure A.

The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.

Figure B.

The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.

Figure C.

The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.

A circle with the centre (0,0) has an equation of x2 + y2 = 169
a. What is the radius?

Answers

165 is the radius because 169-169 is 0
Your answer is going to be 0

6 ft. 12 ft. 8 ft. The area of this irregular figure is sq. ft. 16 ft​

Answers

Answer:

Step-by-step explanation:

I believe it is 26?

A cardboard carrying box has the dimensions shown below. How many square inches of cardboard are needed to make the box?

Answers

Answer: D, 344

Step-by-step explanation:
5x6 = 30x2 = 60
6x10 = 60
5x10 = 50x4 = 200
4x6=24 (dont need to divide by two since theres two triangles)

24+60+60+200= 344

Answer:

Step-by-step explanation:

D- 344

the image of O(3,2)in half turn about origin gives....?​

Answers

Answer:

O' (- 3, - 2 )

Step-by-step explanation:

Under a half turn about the origin

a point (x, y ) → (- x, - y ) , then

O (3, 2 ) → O' (- 3, - 2 )



How long will it take Seb to run 4000 m at an average speed of 5 m/s?
Give your answer in minutes and seconds.

Answers

Answer:

800 seconds or 13 minutes 20 seconds

Step-by-step explanation:

.......

uh ….. uhhhh …..uhuhuhhshahahahhahajsjejjejejjejeje

AABC has points located at A(1, 3) B(-2, 2) C(4, 0). AABC is rotated 180° CCW about the origin then translated (x + 0, y-5). Identify the location of A A”B”C"​

Answers

Answer:

i think the new points are

A(1,-2)

B(-2,-3)

C(4,5)

Step-by-step explanation:

i plugged it in

A family tree business removes overgrown trees for 3 months in the summer. In June, they removed 1/3 the number of trees as they did in July. In August, they removed twice the number of trees as they did in July. They removed less than 1000 trees in the three months. What is the maximum number of trees they removed in July?​

Answers

Answer: 299

Step-by-step explanation:

Given

Family removes one-third of tress in June as much as they dd in July

They remove twice the number of July in august

Suppose they removed x trees in July

for June it is, [tex]\frac{x}{3}[/tex]

for August, it is [tex]2x[/tex]

If they removed less than 1000 tress in 3 months

[tex]\Rightarrow \dfrac{x}{3}+x+2x<1000\\\\\Rightarrow \dfrac{x+3x+6x}{3}<1000\\\\\Rightarrow \dfrac{10x}{3}<1000\\\\\Rightarrow \dfrac{x}{3}<100\\\\\Rightarrow x<300[/tex]

So, maximum number of tress removed in July is 299


What scale factor, as a percent, was applied to create the copy?
A. 50%
B. 75%
C. 125%
D. 150%

Answers

B

I’m sorry if it wrong

Have a nice day

7. A clothing trunk is 30 inches tall, 48 inches wide,

and 24 inches deep. How many cubic feet will the

Hrunk hold?

Answers

Answer:

34,560 in^3

Step-by-step explanation:

A clothing trunk is 30 inches tall, 48 inches wide, 24 inches deep

The amount is cubic feet the trunk will hold can be calculated as follows

= 30×48×25

= 34,560 in^3

two hundred minus the number two

Answers

Answer:

200-2 = 198

Step-by-step explanation:

If you have 200 apples and you eat two you have 198 apples

2,6, 18, 54,162
The common ratio ""is3
Is this right?

Answers

Answer:

yes it is

Step-by-step explanation:

Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST LIKE PLEASEE HELP

Answers

Answer:

y = -1/6x - 1/2

Step-by-step explanation:

y = -1/6x + b

-1 = -1/6(3) + b

-1 = -1/2 + b

-1/2 = b

Has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are a movie theater has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are empty

Answers

Answer:

263

Step-by-step explanation:

424+339=764

1000-764=236

which are like terms
will give brainest if correct

Answers

Answer:

3ad³

Step-by-step explanation:

Like terms have same variables with same powers.

12ad³ and 3ad³ has same variables a  and d³

I believe 3ad
I hope this helps
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