A train first travels east for 20 kilometers. Then it turns north and travels for 43 kilometers. Next it goes west for 20 kilometers. Finally, it travels south for an unknown number of kilometers. At the end of the journey, the train is back at the original location. How far did it travel southward?

Answers

Answer 1

Answer: the train traveled 43km southwards

Step-by-step explanation:

First, let's define.

North as the positive y-axis.

East as the positive x-axis.

And the initial position of the train is (0, 0).

Now, we know that:

"A train first travels east for 20 kilometers."

The new position will be:

(0, 0) + (20km, 0) = (20km , 0)

"Then it turns north and travels for 43 kilometers."

The new position will be:

(20km, 0) + (0, 43km) = (20km, 43km)

"Next it goes west for 20 kilometers."

If East if the positive x-axis, then West is the negative x-axis.

The new position of the train will be:

(20km, 43km) + (-20km, 0) = (0, 43km)

Then it travels south for an unknown number of kilometers, such that the final position is the same as the initial position, then if the train goes X kilometers to the south (and because North is the positive y-axis, South will be the negative y-axis), we have:

(0, 43km) + (0, -X) = (0, 0)

(0, 43km - X) = (0, 0)

Then we must have that:

43km - X = 0

43km = X

This means that the train traveled 43km southwards.


Related Questions

23.
At a football game 6 out of the first 9 people visiting the concession stand ordered nachos. Based on this
information, if 180 people visited the concession stand, how many people could be expected to order nachos? PLZ HURRY!!!!

Answers

Answer:

120 people are likely to order nachos.

Step-by-step explanation:

Answer: 2/3

Solve: 9 goes into 180 20 times. 9x20=   180

                                                         6x20=120

Denominator is 180, Numerator is 120.

120/180 simplified is 2/3.

What is the value of 0.6 + 0.3? Write your answer as a fraction in lowest terms. 0.6 is repeated.

Answers

Answer:

9/10 0.9.............

Answer:

1

Step-by-step explanation:

0.666...+0.3=0.999...

1

The equations 3 x minus 4 y = negative 2, 4 x minus y = 4, 3 x + 4 y = 2, and 4 x + y = negative 4 are shown on the graph below.

On a coordinate plane, there are 4 lines. Green line goes through (0, negative 4) and (2, 4). Blue line goes through (negative 2, 2) and (2, negative 1). Pink line goes through (negative 2, negative 1), and (2, 2). Purple line goes through (negative 2, 4) and (0, negative 4).

Which is the approximate solution for the system of equations 3 x + 4 y = 2 and 4 x + y = negative 4?
(–1.4, 1.5)
(1.4, 1.5)
(0.9, –0.2)
(–0.9, –0.2)

Answers

Answer:

(–1.4, 1.5)

Step-by-step explanation:

will mark brainliest for correct answer

Answers

Answer:

Y

Step-by-step explanation:

Look at Y and look at the input and output it shows which one is it and how to find it you welcome :)


What is the slope of the line?

Answers

Answer:

[tex]m=-3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 3)

Point (3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]:                    [tex]m=\frac{0-3}{3-2}[/tex]Subtract:                              [tex]m=\frac{-3}{1}[/tex]Divide:                                 [tex]m=-3[/tex]

81_
Evaluate 3!
6
336
6720
40,320

Answers

Answer:

6

Step-by-step explanation:

3!= 3(2)*1 = 6

using y=mx+b find the slope for
7) 8x + 3y = −9

Answers

Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

Rearrange

y = - 8x/3 - 3

The slope is the coefficient of x which is - 8/3

If you don't understand, please leave a comment

Please gimme brainliest

helppppppppppppppppp

Answers

Answer:

I think its measure of variation

Step-by-step explanation:

Answer:

Yall i got banned so this is my second account

Step-by-step explanation:

If f(x) = 3x + 2, what is f(5)?

Answers

Answer:

f(5)=3(5)+2 = 17

Step-by-step explanation:

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = ^2−x and y = ^4x + 3 intersect are the solutions of the equation 2^−x = 4^x + 3.
Part B: Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.


Part C: How can you solve the equation 2^−x = 4^x + 3 graphically?

Answers

Answer:

Post a photo

Step-by-step explanation:

Please help!! And show work please! I'll give brainlist..!

Answers

what you put is correct because two negatives make a positive so it would be 5 + 7 making it the greatest value

-7(x-4)

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

Answers

Answer:

28−7x

i think :]

what is 621 divided by 9

Answers

Answer:

621/9=69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

69x 9= 621

The tennis team has played 28 matches so far this season. They have won 10 matches so far. How many matches will the team need to win for the team to have a 55% success rate?

Answers

Answer: they would have to win 22/40 games

Step-by-step explanation:

22 divided by 40 is 0.55 or 55%

Answer:

x = 12 (I took the FLVS assignment for 04.04, and I'll show you guys how to do this!)

Step-by-step explanation:

The team has completed 28 matches so far and has won 10 of them.

The current success rate is:

[tex]r=\frac{10}{28} *1.00=.35714[/tex]

(1.00 = 100% and .35714 = 35.714%)

We need the success rate to be 55%

Then the team must win a number of "x" matches, so:

[tex]r=\frac{10+x}{28+x} =0.55[/tex]

Now we solve the equation for x:

[tex]\frac{10+x}{28+x} =0.55[/tex]

[tex]10+x=0.55(28+x)[/tex](distributive property here!)

[tex]10+x=15.4+0.55x[/tex]

Now, move the 0.55x to the other side by subtracting it from both sides:

[tex]10+x-0.55x=15.4[/tex]

And move the 10 by doing the same thing (subtracting from both sides):

[tex]x-0.55x=15.4-10[/tex]

[tex]0.45x=5.4[/tex]

(You might ask: 15.4 - 10 = 5.4, but how do you get 0.45x out of x - 0.55x? Use Quick Math, and you should get the answer!)

[tex]x=\frac{5.4}{0.45}[/tex]

[tex]x = 12[/tex]

So, by following these steps, x = 12 is your answer!

The team must win 12 matches to have a success rate of 55%.

Hope this helps! Have a wonderful day!

A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12 n > 135 + 4.50 n represents the situation in which the artist makes a profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.

Answers

Answer:

The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).

Step-by-step explanation:

Note: The question contains some error. The question is therefore rewritten before is answered as follows:

A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.

The explanation of the answer is therefore given as follows:

Given;

12n > 135 + 4.50 .................... (1)

Where n represents the number of necklace that must be sold by the artist to make a profit.

Solving for n from equation, we have:

12n > 139.50

n > 139.50 / 12

n > 11.625 ..................... (2)

Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.

When the artist sells 15 necklaces, it implies that n = 15.

Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).

The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.

What price did Arianna pay for the ski jacket?

Answers

$143
add the two discounts of 25 and 10 percent. then your item will be 65% of the price now.

Consider this equation.

7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)


Mia solved the equation and determined that m = 2. Is she correct?
She is incorrect because when substituting 2 for m the result was a true statement.
She is incorrect because when substituting 2 for m the result was a false statement.
She is correct because when substituting 2 for m the result was a true statement.
She is correct because when substituting 2 for m the result was a false statement.

Answers

Answer:

B .  She is incorrect because when substituting 2 for m the result was a false statement.

Step-by-step explanation:

Edge. 2020

Answer:

B

Step-by-step explanation:

You roll a six-sided die and spin the spinner below. What is the
probability of rolling a 3 and spinning blue?

Answers

Answer:

Its a 1 in 6 chance of rolling a 3

Step-by-step explanation:

Let me know how many color and i can tell you the probability if spinning blue, enjoy.

PLZ HELP IM BEING TIMEDDD!!!!!

Answers

Answer:

its b.

Step-by-step explanation:

also youre gonna get banned lol

Plz help me out I’m so confused

Answers

Answer:

b

Step-by-step explanation:

Answer:

The correct answer would be the second option y-2=1/3(x-3)

What half of 90 percent in the percentages line

Answers

45 percent?

just divide it by 2 :)

HELP WITH 5 and 6 pleaseeee

Answers

5. It’s C
6. Your answer is 42

Pleaz Helpz!!! I needz this done before my final!!!

Answers

the perimeter of the field is 442

width=w

the length of the field is 9 yards less than quadruple W

L=4x - 9

the perimeter is P=2L+2W

you can plug in the values

P= 2(4w-9) + 2W

plug in 442 for P

442= 2(4w- 9) + 2W

442= 8w - 36 + 2W

478 =8w + 2W

478= 10W

47.8 is your answer!!!

aaaaaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhh help

Answers

Multiply both sides and you should get X= 27

Answer:

x = 27

STEP BY STEP:

3 = x/9

3 = x/3 x 2

9 x 3 = x

27 = x

x = 27

Hope this helped! Have a good day!

what is a simplified fractional eqeuvilent of a teminating decimal .68

Answers

Answer:

17/25

Step-by-step explanation:

0.68 is read as "sixty-eight hundredths."

Write sixty-eight hundredths as a fraction: 68/100

Now we reduce 68/100.

68/100 = 34/50 = 17/25

Answer:

17 /25

Step-by-step explanation:

0.68

is the same as  

6

10

+

8

100

=

68

100

68

÷

4

100

÷

4

=

17

25

As 17 is a prime number we stop at this point. srry if this in not correct

Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S

Answers

Answer:

The slope of the given line is -4

Step-by-step explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In the given figure

∵ The line passes through the points (-6, 5) and (-4, -3)

x1 = -6 and y1 = 5

x2 = -4 and y2 = -3

→ Substitute them in the formula of the slope above

∵ m = [tex]\frac{-3-5}{-4--6}[/tex]

∴ m = [tex]\frac{-8}{-4+6}[/tex]

∴ m = [tex]\frac{-8}{2}[/tex]

∴ m = -4

The slope of the given line is -4

how are ASA and AAS used to show that triangles are congruent?

Answers

Answer:

If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.

In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.

What is triangle?

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.

The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.

The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ2

what is the slope of the 2 points (10,15) (6,23)

Answers

Answer:

The slope is -2.

Step-by-step explanation:

m=y2-y1/x2-x1            (also, y1-y2/x1-x2 is also true.)

=23-15/6-10                  m=15-23/10-6

= 8/-4                            =-8/4

=4/-2                             =-4/2

= 2/-1                             =-2/1

m=-2                             m=-2

i'm not sure what's the answer?
:)​

Answers

i believe the answer is  B.

Parallel lines r and s are cut by two transversals, parallel lines t and u.



How many angles are alternate interior angles with angle 9?

Answers

Angle 7 and angle 15 so the answer is TWO.

Check the picture below for more information. Hope it helps !

Answer:

2

Step-by-step explanation:

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