A girl is on a train that is headed East at 100 miles per hour. The girl is walking at 5 miles per hour
toward the back of the train.
1.
What is the speed and direction of the train if the girls is the frame of reference?

Answers

Answer 1

Answer: The speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Step-by-step explanation:

Since we have given that

Speed of train = 100 miles per hour

Speed of girl = 5 miles per hour

Since the girl is moving towards the back of train.

So,it means train and girl are moving in opposite direction.

So, Relative speed would be

[tex]100+5=105\ miles/hr[/tex]

Hence, the speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.


Related Questions

a pair of shoes is originally priced at 120 It is on sale for 35% off . Find the total percent that you would pay

Answers

Step-by-step explanation:

If the discount is 35% off. then the new price is 65% of what the old price is. So we multiply 120 x .65 = 78

Answer:

You pay 65% which is $78

Step-by-step explanation:

You'd pay 65% of the original price.

65% of the original price is 78

To do this you multiply 65% by 120

Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and down? How would you demonstrate your reasoning is correct?

Answers

Answer:

(x + 3)^2 is left 3 because it becames 0 at -3

(x - 3)^2 is right 3  because it becames 0 at 3

x^2 +3 is up 3  because your just adding 3 units up

x^2 - 3 is down 3 because your just subtracting 3 units down

Step-by-step explanation:

1. How many possible outcomes are there for flipping a coin three times

1. 3
2. 14
3. 8

2. What is the theoretical probability of all three flips being heads

1. 1/8
2. 3/8
3. 1/2

3. What is the probability of thete being at least one tail

1. 1/8
2. 1/2
3.7/8

Answers

Answer:

1. 14

2. 1/8

3. 7/8

Step-by-step explanation:

Which of the following could be a solid of revolution?
(A) pyramid
(B) Rectangular prism
(C) sphere
(D) Cube

Answers

Answer:

I think it (B) a rectangle prism not to sure tho

a) Form an inequality in terms of x

b) Solve the inequality to find the possible width of the field

Answers

Answer: x<6m+4yt

Step-by-step explanation:

Harry likes to grow his own vegetables. He wants to harvest at least 129 squashes during the summer season. If he has already harvested 61 squashes and plans to pick 8 squashes every week, how many weeks will it take him to harvest at least 129 squashes?

Answers

Answer:

8.5 weeks

Step-by-step explanation:

to solve, you can start by subtracting 61 from 129 because he has already picked 61.

129 - 61 = 68

then, just divide 68 by 8 to find how many weeks it will take him.

68/8 = 8.5

it will take Harry 8 and a half weeks to harvest at least 129 squashes.

Harry needs 9 weeks to harvest at least 129 squashes.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.

Therefore, The inequality that represents the given situation is,

8w + 61 > 129.

8w > 68.

w > 68/8.

w > 8.5.

So, It will take him at least 9 weeks.

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CAN 10/12 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 7/16 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 2/9 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 1/8 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

Answers

Answer:

No

Yes

No

No

Step-by-step explanation:

Need Help ASAp will give brainliest!!!

Answers

Answer:

0.05

Step-by-step explanation:

3.25 divided by 9 is 0.35 and 2.4 divided by 8 is 0.3 (0.30)

theres a 0.05 gap

if im wrong im sorry

What is the total amount of material
needed for the entire birdhouse?

Answers

Answer:

This question is incomplete ... plz complete the question so that you may get better help.

Step-by-step explanation:

From: Brainy services

Simplify expression. Use the distributive property. :)
14-2(4x+3y)

Answers

Explanation:

14-2(4x+3y)
14-8x-6y. Distributive Property

Answer:

14-8x-6y

Answer cannot be simplified more

he;p me please i am losing my points please anyone can you help at least one of you please please please! :(

Answers

[tex]answers \\ 1. \: \: c \\ 2. \: a \\ 3. \: d \\ 4. \: b \\ explantion \\ 1. \: \: r \: rotated \: 270.the \: r \: lies \: on \: {3}^{rd} \\ quadrant. \\ 2. \: \: r \: reflected \: to \: x. \: the \: r \: mirroring \\ to \: {1}^{st} quadrant. \\ 3. \: r \: moves \: 12 \: units \: upward. \\ 4. \: r \: scaled \: \frac{1}{5} . \: therefore \: the \: sides \: \\ scaled \: \frac{1}{5} also. \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment..[/tex]

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10. What is the value of x? 2 units 3 units 5 units 8 units

Answers

Answer:

5 units

Step-by-step explanation:

see the picture

Answer:

The answer is 5 units

Step-by-step explanation:

Alaine has 1 gallon of paint. She is going to pour it into
paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in?, 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in
The paint will fill the tray exactly
The paint will overfill the tray by 5.22 in?

Answers

Answer:

First, solve for the volume of the tray by the equation V = L x W x H. Convert first all the dimensions to inches. The operation gives an answer of volume equal to 236.22 in³. Converting the amount of paint available to in³. This gives an answer of 231 in³. Hence, the answer is letter B. 

Step-by-step explanation:

Lance is tracking the progress of his plant's growth. Today the plant is
5 cm high. The plant grows 1.5 cm per day. Which equation below
represents the height of the plant (h) after d days?

Answers

Answer:

h = 5 + 1.5d

Step-by-step explanation:

Under the Objective Theory of Contacts, the Reasonable Person Select one: a. May determine the existence of a contract if there is a dispute. b. May determine the terms of a contract if there is a dispute. c. Both of the above. d. Neither of the above.

Answers

Answer:

ayo this was posted the day after my birthday

Step-by-step explanation:

Also why u here during summer?

The answer is C though, its explaing it very well

NUMBERS THAT ARE GONNA BE ROUNDED TO: 1/2, 1, 0

1. 1/8 + 2/5

2. 13/14 - 1/10

3. 1/12 + 1/20

Answers

Answer:

1. 1/2

2. 1

3. 0

Step-by-step explanation:

Please help me with 3 more questions ill give good ratings please!

Answers

Answer:

(- 32, - 16 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 8, - 4 ) → (4(- 8), 4()- 4)) → (- 32, - 16 )

Please help me quick!!!!!!!!!!!!!!!!!

Answers

Answer:

a. Yes, the evidence supports the hypothesis

Step-by-step explanation:

The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D

HELPPPPP PLEASE IT'S URGENT!!!!!!

What is the volume of the composite figure? Express the

answer in terms of .


A) 1447 mm

B)1687 mm

C) 3121 mm

D) 4567 mm

Answers

Answer:

Step-by-step explanation:

Volume of the hemisphere

V = 2/3π x r^3

= 144π cu. mm

Volume of the cone

V = 1/3π x r^2 x h

V = 168π cu. mm.

Volume of the composite figure

= 144π + 168π

= 312π cu. mm.

A chemist is adding pure (100%) acid to a 12 liter solution that is 15% acid in order to increase it to 49% acid. How much pure acid must she add?

How many ounces of 35% ethanol must be added to a 23 ounce mixture that contains 26% ethanol in order to obtain a mixture of 30.86% ethanol?

How many liters of 30% acid must be added to 10 liters of 53.66% acid in order to obtain a mixture that is 43% acid?

Answers

Answer:

1) 8 liters of pure acid

2) 27 liters of 35% ethanol

3) 8.2 liters of 30% acid

Step-by-step explanation:

The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.

Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:

(12*0.15 + x) / (12 + x) = 49/100

(1.8 + x)*100 = (12 + x) * 49

180 + 100x = 588 + 49x

51x = 408

x = 8 liters of pure acid

Similar to the solution above, for the second question we have:

(23*0.26 + 0.35*x) / (23 + x) = 30.86/100

(5.98 + 0.35*x)*100 = (23 + x) * 30.86

598 + 35x = 709.78 + 30.86x

4.14x = 111.78

x = 27 liters of 35% ethanol

For the third question, we have:

(10*0.5366 + 0.3*x) / (10 + x) = 43/100

(5.366 + 0.3x)*100 = (10 + x)*43

536.6 + 30x = 430 + 43x

13x = 106.6

x = 8.2 liters of 30% acid

Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth . Help please because it says 209.22 is not the answer

Answers

Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2


Or in square centimeters:

Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
= 501.8689189905 centimeters2
Total Surface Area = 826.1617056129 centimeters2

A truck can be rented from Company A for $120 a day plus $0.70 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

200 miles

Explaination:

in order to fiind the point of interaction you must put the world problem into an liner equation.

y=mx+b

key:

miles : x

y= 0.70x + 120

&

y= 0.90x + 80

now you put them together

0.70x + 120 = 0.90x + 80

-0.70x. -0.70x

____________________ subtract slope from both sides

120 = 0.20x + 80. ( doesn't matter which one)

-80 - 80

____________________ subtract

40 = 0.20x

_________ Divide each # with the slope

0.20 0.20

200 = x

hope this helps!

If you spin a spinner with 3 equal parts, how many possible outcomes are there? A. 1 B. 2 C. 3 D. 4

Answers

the answer is c. 3 possible outcomes
It’s obviously C/3 because there’s only 3 equal parts

Which of the following is a characteristic of hyperbolic geometry?

A. There are an infinite number of lines parallel to a given line
through a given point.

B. There is exactly one line perpendicular to a given line through a
given point.

C. There is exactly one line parallel to a given line through a given
point.

D. There are an infinite number of lines perpendicular to a given line
through a given point.

Answers

Answer:

A

Step-by-step explanation:

Hyperbolic geometry is defined as a non-Euclidean geometry.

(invalidating the fifth postulate of Euclid's five fundamental postulates)

Choice B and D can be eliminated because this has nothing to do with perpendicular lines.

Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates

We are left with A by the process of elimination

Answer:

A. There are an infinite number of lines parallel to a given line through a given point.

Hope this Helps!

A linear function has a graph in the shape of a 1____. A non-linear function 2_____ have the same value added to or subtracted from the dependent variable.

1. A. U
B. S
C. Line

2. A. Does
B. Does not

Answers

Answer :

A linear function has a graph in the shape of a line

A non-linear function does not have the same value added to or subtracted from the dependent variable

Step-by-step explanation:

A linear function is any function that graphs to a straight line.

So, The shape of linear graph is straight line .

1) A linear function has a graph in the shape of a ____

Answer : C . Line

Thus A linear function has a graph in the shape of a line

A nonlinear function is a function that is not linear. That is, for a fixed change in the independent variable, there is NOT a corresponding fixed change in the dependent variable

Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line.

2) A non-linear function 2_____ have the same value added to or subtracted from the dependent variable

Answer B : Does not

Thus A non-linear function does not have the same value added to or subtracted from the dependent variable

Which ordered pair is a solution of the equation y=2x+5

A. (3,11)
B. (2,7)
C. (1,6)

Answers

Answer:

A(3,11)

Step-by-step explanation:

[tex]y = 2x + 5[/tex]

[tex]2×3 = 6[/tex]

[tex]6 + 5 = 11[/tex]

A is the Answer (3,11)

do supplementary angles form right angles? yes or no

Answers

Answer:

Yes i

Step-by-step explanation:

A supplementary angle can be two angles that sum up to 180 if you want you can have 2 angles that are 90 degrees that add up to 180 so therefore that would make a right angle.

Kareem has a pencil that is 13.5 centimeters
ong and a crayon that is 87.5 millimeters
ong. How many millimeters longer is
the pencil than the crayon?
(1 centimeter = 10 millimeters)

Answers

47.5 millimeters longer

The pencil is 47.5 millimeters longer than the crayon.

To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.

Given that length of the pencil = 13.5 centimeters

Length of the crayon = 87.5 millimeters

To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.

So, the length of the pencil in millimeters is:

13.5 centimeters × 10 millimeters/centimeter = 135 millimeters

Now we can calculate the difference in length between the pencil and the crayon:

Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters

Subtracting the lengths, we find that the pencil is:

135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.

Therefore, the pencil is 47.5 millimeters longer than the crayon.

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Event A: lands on yellow.
Event B: lands on green.

Events A and B are a0 events.

Answers

Answer:

1/16

Events A+B are written (P) yellow : 1/4 * (P) green : 1/4

Ao event = (P) 1/4 * 1/4 = 1/16

Step-by-step explanation:

The probability of event A and event B is 1/16.

We have given that,

Event A: lands on yellow.

Event B: lands on green

Events A+B are written  

yellow(P) = 1/4 * (P) green= 1/4

What is the meaning of probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Ao event (P)=1/4 * 1/4

Event = 1/16

Therefore the probability of event A and event B is 1/16.

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Determine whether these two triangles are congruent with the ASA congruence method. If so, write the congruence statement. answers: A) ΔFED ≅ ΔGFE B) ΔDEF ≅ ΔGEF C) The triangles aren't congruent using ASA. D) ΔDEF ≅ ΔGFE

Answers

Answer:

D) ΔDEF ≅ ΔGFE

Step-by-step explanation:

For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.

As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.

I hope this helps :))

ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

Given that,
Two triangles are given with a common side EF whose alternate interior angles are also equal .i.e ∠E = ∠F and also are of 90° in ΔDEF and ΔGFE respectively.

What are Similar triangles?

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
In ΔDEF and ΔGFE
∠DEF = ∠GFE (both are of  90°)
   EF = EF        (common side)
∠DFE = ∠GEF (alternate interior angle)
Hence  ΔDEF ≅ ΔGFE are congruent by ASA.

Thus, ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

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