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WINSTONCH [101]
3 years ago
14

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 55 miles per

hour. The eastbound train travels at 75 miles per hour. How long will it take for the two trains to be 364 miles apart? Do not do any rounding.
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

The westbound train travels at 55 miles per hour. The eastbound train travels at 75 miles per hour.

Let t be the time taken by the trains

Distance = speed * time

Distance covered by westbound train D = 55 * t

Distance covered by eastbound train D = 75 * t

the two trains are 364 miles apart

So we add the distance and set it equal to 364

364 = 55t + 75t

364 = 130 t

Divide by 130 from both sides

t = 2.8 hours

it will take 2.8 hours for the two trains to be 364 miles apart

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\textit{sum of all exterior angles in a regular polygon}\\\\ n\theta = 360 \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{angle~in}{degrees}\\[-0.5em] \hrulefill\\ \underline{n=11} \end{cases}\implies 11\theta =360\implies \theta =\cfrac{360}{11}\implies \theta \approx 32.7^o

3 0
1 year ago
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Help pls I need it before 11:59
Luden [163]

Answer:

5/6

Step-by-step explanation:

probability of rolling a 5 on a die=1/6

P of not rolling a 5 = 1-1/6= 5/6

7 0
3 years ago
Please help me!<br> Find the value of x
Ira Lisetskai [31]

Answer:

x = 30

Step-by-step explanation:

So we're going to start by finding the other angles of the triangle which x is part of. So we know that a line adds up to 180 degrees. So we can find the angle that's close to N. If you know which one I'm talking about.

105 + 45 = 150. So then we can subtract 150 from 180

180 - 150 = 30

And for the angle at angle L, it's also 90 degrees.

So we know that the angles that add up so far are 120.

Now we'll make an equation:

2x + 120 = 180

Because all angles of a triangle add up to 180

So we subtract 120 from both sides

2x = 60

Now we divide 2 form both sides.

x = 30

So, x = 30

7 0
2 years ago
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Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144
Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Read more about polynomials at:

brainly.com/question/20896994

5 0
2 years ago
Tres corredoras salieron a entrenar Amalia recorrio 4,121 km ; Luciana 1,55 km mas que Marta y esta 1 8/2 km menos que Amalia. ¿
tatiyna

Answer:

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

Step-by-step explanation:

El enunciado tiene un error tipográfico que induce a equivocación. El enunciado correcto es el siguiente: <em>Tres corredoras salieron a entrenar Amalia recorrió 4,121 kilómetros; Luciana 1,55 kilómetros más que Marta y esta 1 8/25 kilómetros menos que Amalia. ¿Cuántos kilómetros recorrió Luciana y Marta? </em>

Sean x,y,z las distancias recorridas por Amalia, Marta y Luciana, en kilómetros. A partir de la descripción del enunciado tenemos el siguiente sistema de ecuaciones lineales:

Amalia

x = 4,121\,km (1)

Marta

y = x-1.32\,km (2)

Luciana

z = y + 1.55\,km (3)

La solución del sistema de ecuaciones lineales es:

x =4,121\,km, y = 2,801\,km, z = 4,351\,km

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

8 0
3 years ago
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