Ahmad travelled 1/4 of a journey by Train X, 3/4 of the remainder by Train Y and the remaining 10km by Train Z. a) How far did Ahmad travel by Train Y? b) What was the total distance that Ahmad travelled?

Answers

Answer 1

Hey there! I'm happy to help!

Train X takes out 1/4 of our journey.

Now, we have 3/4 of the journey left.

Train Y takes 3/4 of the last 3/4 of the journey. How much is that, let's just multiply the fractions!

3/4*3/4= 9/16

So, 9/16 of the total journey is done by Train Y.

A fourth of 16/16 is 4/16, so that leaves us with 3/16 left to go.

So, 3/16 of our total distance is equal to 10 km. Let's call our total distance d and set this up as an equation.

3/16d=10

Divide both sides by 3/16.

d= 53 1/3

We also remember that Train Y gave us 9/16 of our total journey, so we can multiply this by our total distance to see how far train Y went.

53 1/3 * 9/16= 30

So, A. Ahmad traveled 30 miles by Train Y and B. his total distance traveled is 53 1/3 miles.

Have a wonderful day and keep on learning! :D


Related Questions

helppppp what is -104 = 8x

Answers

Answer:

x=-13

Step-by-step explanation:

divide 8 to both sides and get -13

the answer is -13 (:

a. Find the value of sin2A, cos2A, tan2A and cot2A when sinA = 4/5 , cosA =4/5, tanA= 3/4 and cotA = 12/13​

Answers

Step-by-step explanation:

Given,

SinA = 4/5

CosA =4/5

TanA= 3/4

CotA = 12/13

Sin²A = SinA²

Cos²A = CosA²

Tan²A = TanA²

Cot²A = CotA²

Therefore,

Sin²A = (4/5)²

Cos²A = (4/5)²

Tan²A = (3/4)²

Cot²A = (12/13)²

Sin²A = 16/25

Cos²A = 16/25

Tan²A = 9/16

Cot²A = 144/169

Step-by-step explanation:

explanation is given in picture

A class is made up of 8 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?

Answers

Answer:

1/6

Step-by-step explanation:

The total amount of people 8+4=12

there are 4/2=2 girls with glasses

the probability to chhose a girl with glasses is 2/12=1/6

please help. pleasee

Answers

Answer:

1st option

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] ( which can be used on more than 2 numbers )

Given

(- 7)² × [tex](-7)^{5}[/tex] × [tex](-7)^{-9}[/tex]

= [tex](-7)^{(2+5-9)}[/tex]

= [tex](-7)^{-2}[/tex]

Giving out bonus points if you answer this!
Explain why segments AB and AC have the same length.

Answers

Answer:Because they make a acute angle

Step-by-step explanation:

Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )

= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )

= [tex]\frac{1}{3}[/tex]

If two lines intersect, they intersect at two different points.
is this statement true or false

Answers

Answer: False

If two lines intersect, then they intersect at one point only, so it makes no sense to mention a second point. This is assuming that we're not talking about two lines intersecting infinitely many times (i.e. one line overlapping another perfectly).

this is false because is 2 lines a straight and intersecting each other it is only possible for it to intersect one time.

So the statement is FALSE

please help with this!!!

Answers

Answer:

second option ∠C = 60 degrees

Step-by-step explanation:

To find the angle C

we know that the sum of all interior angles of triangle is 180

∠A + ∠B + ∠C = 180 (sum of interior angles)

90 + 30 + ∠C = 180

120 + ∠C= 180

∠C = 180 - 120

∠C = 60

Answer: B. 60

Concept:

Here, we need to know the idea of the triangle angle sum theorem.

The triangle angle sum theorem states that the sum of interior angles is 180 degrees.

Step-by-step explanation:

Given information

∠A = 90°

∠B = 30°

∠C = unknown

Given expression deducted from the triangle angle sum theorem

∠A + ∠B + ∠C = 180

Substitute values into the expression

90 + 30 + ∠C = 180

Combine like terms

120 + ∠C = 180

Subtract 120 on both sides

120 + ∠C - 120 = 180 - 120

∠C = [tex]\boxed{60}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

What is the length of a rectangle with width 14in. and area 91in.²​?

Answers

Answer:

91 divided by 14 = 6.5 is the length

Step-by-step explanation:

Whenever given an area and 1 given length always divide the area by the length to find the missing length.

a mivie is 1 7/8 hours long after 45 minutes, how much of the movies is left

Answers

Replace the hours to minutes
1 7/8 * 60 = 112.5 minutes
112.5 - 45 = 67.5 minutes left
Or
67.5/60 = 1.125 hours left

If I start at 6:05 and end at 3:30. How much time is that.

Isn’t is 2 hours and 25 minutes or 2 hours and 34 minutes?

Answers

Answer:

The answer is 9 hours and 25 minutes

Step-by-step explanation:

if it starts at 6:05 am and then ends at 3:30 pm then thats 9 hours in total and 25 minutes

hope that helps>3

No it would be 9 hours and 25 minutes because it can’t be two hours since you started at 6:05 two hours later would be 8:05.

111011100 (2) write down the value in decimal system ans is 476(100) write the process.....

Answers

Answer:

here are the steps

multiply is binary number with its position value with the terms of power to starting from the extreme right digit

increase the power 1 by 1 keeping the base fixed as 2

calculate the sum of all the products to get a decimal number

PS. also see the attachment for better understanding :)

have a great day ahead!

what was the total number of hours worked on monday?

Answers

The answer is C because 3.75+4.75=8.50

Math experts ONCE AGAIN :)
giving brainly!!

Answers

Answer:

A) $49

Step-by-step explanation:

There are two ways to solve this problem. You could either calculate the net change by adding up the values in the table and then adding that to the initial amount, or you could individually add every change in price to the initial amount. I'm going to go with the first way, as I find it to be quicker, but both methods work equally well.

We know that the stock was worth $52 on Monday morning. From the table, the net (or overall) change in the stock over the course of the week is:

-2 + 1 + 3 - 1 - 4 = -3

Therefore, the stock's price decreased by $3 over the week, and because the stock's original price was $52, we know it is now worth 52 - 3 = $49. Hope this helps!

. If x=2, y=0, what is the value of ?​

Answers

Step-by-step explanation:

x=2

y=0

then

question is not complete

????

Using the segment addition postulate find the length of the segment EF

Answers

Answer:

10

Step-by-step explanation:

I'm pretty sure the segment addition postulate just means that if you add JK and KL together, you'll get the length of JL. Correct me if I'm wrong...

Anyways, JK = 3x - 4, and KL = 5x + 6. If we add these together, according to the segment addition postulate, we will get JL, which equals 9x - 8. So, we set up an equation:

3x - 4 + 5x + 6 = 9x - 8

Simplifying this equation, we get:

8x + 2 = 9x - 8

x = 10

So, our answer is 10.

(also you ask for segment EF but I don't see segment EF so I'm going to just answer the question in the picture)

help help help help help

Answers

A little summary of the question:

The question has asked you to turn the shape 180° counterclockwise. that in simpler words means flipping the shape 2x right making a mirrored reflection of the shape.

Answer:

point J = (2,8)

point M = (2,9)

point L = (-6,9)

point K = (-6,8)

What does X equal in this?​

Answers

Answer:

45

Step-by-step explanation:

∠FEC = ∠DEG (Vertically opposite angles)

=> x = 20+25=45

Please help!!!!!!!!!

Answers

Answer:

D. 12.9 is the correct answer

I hope this helps!

anyone know how to solve these​

Answers

Answer:

Step-by-step explanation:

I have attached.

1.
11. Kimberly received -22 points on her exam.
She got 11 questions wrong out of 50 questions.
How much was Kimberly penalized for each wrong
answer?

Answers

Answer:

Step-by-step explanation:

50 por que si no lO seeee agradezcan que respondo

Is this right???????

Answers

Answer:

Yes

Step-by-step explanation:

. Each of the following has 9 as a factor except
A) 18018 B) 18 081 C) 81 180
D) 81 181

Answers

Answer:

d

Step-by-step explanation:

81181÷9=9020.111111

every other number has a whole number as an answer not a decimal

Which equation can be used to solve for x in the following diagram?

Answers

Answer:

semoga jawapan ini dapat membantu anda

Answer:

D

Step-by-step explanation:

What is the simplified expression for -3(2x-y)+2y + 2(x+y)?
O 8x+y
O y-4x
O TY- 44
O -4x-y

Answers

Answer:

[tex] - 3(2x - y) + 2y + 2(x + y) \\ - 6x + 3y + 2y + 2x + 2y \\ = - 4x + 7y[/tex]

I hope I helped you^_^

Answer:Check the options well. My answer isn't in the options

Step-by-step explanation:

What would the sum of the interior angles of a 14 sided shape be?
Select one:
O a. 360°
O b. 180°
O c. 14°
O d. 2,160°

Answers

Answer:

the sum of interior angles of a 14 sided shape be 2160

Answer:  D)  2160

Work Shown:

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

S = 180(14-2)

S = 180*12

S = 2160

What is 10% of a number whose square
is 81

Answers

Answer: 0.9

Step-by-step explanation:

Let x be the number

Determine the value of the number

x² = 81

√x² = √81

x = 9

Find the 10% of the number

Final number = rate of percentage × original number

Final number = 10% × 9

Final number = [tex]\boxed{0.9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

I’ve been stuck on this for days pls help

Answers

Answer:

1120 inches squared

Step-by-step explanation:

change the 4 separate boxes into a single box with dimensions 10 by 12 by 20 (5+5+5+5=20) then find the surface area:

2(20*12 + 20*10 + 12*10)=2(240+200+120)=2*560=1120

need help on precalculus

Answers

Answer:

around 502.65

Step-by-step explanation:

so, find the area of the circle first which is 16ft x 16ft x pi

after that, since a circle is 2 pi radians, just take 5/4 ÷ 2

then multiply that number over your area.

I'm not sure if I'm correct but this is what I know based on my limited understanding of it

(2x^3 y)^2

Im confused

Answers

Hopes this helps:

I thinks it’s right please correct me if it’s wrong.

Answer: 4x^6y^2

Have a great day.

Answer:

[tex]4x^6y^2[/tex]

Step-by-step explanation:

[tex]x^{m} *x^{n} = x^{m * n}[/tex]

2^2 = 4

(x^3)^2 = x ^3*2 = x^6

y^2 = y^2

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