Amtrail trains provide efficient, nonstop transportation between Los Angeles and San Diego. Train A leaves Los Angeles headed toward San Diego at the same time that Train B leaves San Diego headed for Los Angeles, traveling on parallel tracks. Train A travels at a constant speed of 84 miles per hour. Train B travels at a constant speed of 92 miles per hour. The two stations are 132 miles apart. How long after they leave their respective stations do the trains meet

Answers

Answer 1

Answer:

0.75 hour or 45 mins

Step-by-step explanation:

From the question, we are told that:

Speed of Train A = 84 miles per hour. Speed of Train B = 92 miles per hour.

Total speed travelled by both trains =

84mph + 92mph

= 176 mph

The distance between the two stations = 132 miles.

We are asked in the question to: find out how long after they leave their respective stations do the trains meet.

This means we should calculate the time

Time = Distance/ Speed

= 132 miles/176 miles per hour

= 0.75 hour

We can convert to minutes if we like

1 hour = 60 minutes

0.75 hour =

0.75 hour × 60 minutes/ 1 hour

= 45 minutes

Therefore, the trains meet after 0.75 hour or 45 minutes after they have left their respective stations.


Related Questions

Write the equation of the line that passes through (2, 4) and has a slope of -1 in point-slope form.

Answers

Answer:

Step-by-step explanation:

y - 4 = -(x - 2)

y - 4 =-x + 2

y = -x + 6

2x + y = 10
x - 2y = -5
if (x,y) is the solution to the system of equations above, what is the value of 3x - y?

Answers

Answer:

3x - y = 5

Step-by-step explanation:

2x + y = 10  | ×2

x - 2y = -5

4x + 2y = 20

x - 2y = -5

add

4x + x + 2y - 2y = 20 - 5

5x = 15

x = 15 : 5

x = 3

replace x

4(3) + 2y = 20

12 + 2y = 20

2y = 8

y = 8 : 2

y = 4

3x - y =

= 3(3) - 4

= 9 - 4

= 5

A 17-inch board is cut into three pieces. The
first piece is three inches more than the
second. The third piece is twice the first.
What is the length of the longest board.

Answers

Answer:

The third piece is the longest (10inches)

Step-by-step explanation:

The second piece is 2in

The first is 5in ( 2+3in)

Is - 6/5 rational or irrational?

Answers

Answer:

lt is rational number .

6/5 is a rational number.



Construct a line through P that is

perpendicular to the line.

Answers

Answer:

The construct a line through P that is  perpendicular to the line.

Step-by-step explanation:

Given that,

Construct a line through P that is  perpendicular to the line.

We need to construct a perpendicular line P

Using given data

We draw an arc across the line on each side of the point P.

Now, from each arc on the line, draw another arc on the opposite side of the line from the point P.

The  point P to the point where the arcs intersect Q.

Hence, The construct a line through P that is  perpendicular to the line.

The equation of the perpendicular line through point 'P' is [tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex] and this can be determined by using the point-slope form of the line.

The following steps can be used in order to construct a line through P that is perpendicular to the line:

Step 1 - The equation of a line that passes through point 'P' is given below:

[tex](x-x_1)=m(y-y_1)[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] is the point 'P' on the line.

Step 2 - So, the slope of the perpendicular line through point 'P' is:

[tex]mm' = -1[/tex]

[tex]m'=-\dfrac{1}{m}[/tex]

Step 3 - So, the equation of the perpendicular line through point 'P' is:

[tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex]

For more information, refer to the link given below:

https://brainly.com/question/2564656

Cora works at a small airfield where she fuels planes. She fills a Canadian plane with 125 gallons of fuel, but the pilot wants a receipt that shows the total number of liters purchased. How many liters are on the receipt Cora provides? A. 475.250 liters B. 473.176 liters C. 480.005 liters D. 479.215 liters

Answers

Answer: B. 473.176

Step-by-step explanation: 3.78541 Liters are in one gallon, so if you multiply 3.78541 Liters by 125 gallons then you will end up with 473.176 liters. If you have to add tax then it would be A. 475.250

Simplifying a Fraction Expression
2/3 divided by (-4) - ( 1/6 - 8/6)

Answers

Answer:

Step-by-step explanation:

2/3 x -1/4 + 9/6)

-2/12 + 9/6

-1/6 + 8/6 = 7/6 = 1 1/6

f(x)=-6x-8, what if f(-3)

Answers

Answer:

f(-3) = 10

Step-by-step explanation:

Simply plug in x as -3 to find f(-3):

f(-3) = -6(-3) - 8

f(-3) = 18 - 8

f(-3) = 10

If 4 pounds of sugur cost $2, the cost of 1 pound of sugar cost

Answers

Answer:

50 cent

Step-by-step explanation:

Answer:

.50¢

Step-by-step explanation:

50 cents = 1 pound

$1.00 = 2 pound

$1.50 = 3 pounds

$2.00 = 4 pounds

basically adding 50 cents equals to $2

A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?

Answers

Answer:

A small learning center holds 48 students

Step-by-step explanation:

A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?

72-24=48

Which statement is true?
A. 3 2/5 < 2 4/5
B. 2/3 > 1 7/3
C. 4 1/4 > 2 3/4
D. 1/2 < 1/4

Answers

Your answer is gonna be C

Answer: C. 4 1/4 > 2 3/4

Step-by-step explanation: Option C is correct because when comparing mixed numbers, we first compare the whole numbers. In this case, 4 is greater than 2. Then, if the whole numbers are the same, we compare the fractions. In this case, 1/4 is greater than 3/4. Therefore, 4 1/4 is greater than 2 3/4.

- Lizzy ˚ʚ♡ɞ˚

10. Convert 102°F to °C using this equation: C = 5(F-32)
Round to the nearest tenth.
9

Answers

38.9 c
Is the answer

Answer:

38.9 degrees C

Step-by-step explanation:

Use the equation:

[tex]C=\frac{5}{9} (F-32)[/tex]

to convert degrees Fahrenheit  to degrees Celsius. So replace the value for the Fahrenheit with 102 and solve for C:

[tex]C=\frac{5}{9} (F-32)\\C=\frac{5}{9} (102-32)\\C=\frac{5}{9} (70)\\C=\frac{350}{9} \approx38.89\,^oC[/tex]

which to the nearest tenth can be written as: 38.9 degrees C

If g(x) = 3x^2+2x-1. Find g(-1).​

Answers

Step-by-step explanation:

g(x) = 3x² + 2x - 1

g(-1) = 3(-1)² + 2(-1) - 1

= 3(1) -2 -1

= 3 - 3

= 0

3. Starting from his house, Reid rode his bike 300 m to the north, then 100 m to the east.
Which of the following vector diagrams shows Reid's path? (Note: The height and width of each
square in the grids is 100 m.)

Answers

Answer:

The answer would be South x

Step-by-step explanation:

Yo does anyone know how to do this ?

Answers

Formula for Trapezoid is A=1/2h(a+b)
I believe it’s 120

–4.5t49.5t = 40
Please help

Answers

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

      Multiply (-4.5t)(49.5t):

                     (-4.5t)(49.5t) = -222.75t

      Now, write full equation:

          -222.75t = 40

      Isolate t by dividing -222.75 on both sides:

           [tex]\frac{-222.75}{-222.75}t=\frac{40}{-222.75}[/tex]

      Cancel out left hand side:

            [tex]t=\frac{40}{-222.75}[/tex]

      Simplify your answer:

              [tex]t=-0.17957351[/tex]

      Approximate to 2 decimals:

           [tex]t=-0.18[/tex]

     

can you help me with this queistion

Answers

The answer is B trust me

Answer:

B

Step-by-step explanation:

sorry for the messy laptop but can someone help me qwq

Answers

I believe the correct answer is H. 1,-5

Dwayne buys 1 loaf of bread and 6 eggs for $4.45. Sheila buys 1 loaf of bread and 1 dozen eggs for $5.65. Let x be the cost, in dollars, of a loaf of bread. Let y be the cost, in dollars, of an egg.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Let x = cost of a loaf of bread ; y = cost of an egg

Dwayne :

1 loaf of bread and 6 eggs :

X + 6y = 4.45 - - - (1)

Sheila :

X + 12y = 5.65 - - - (2)

From (1);

X = 4.45 - 6y

In (2):

(4.45 - 6y) + 12y = 5.65

4.45 + 6y = 5.65

6y = 5.65 - 4.45

6y = 1.2

y = 0.2

From X = 4.45 - 6y:

X = 4.45 - 6(0.2)

X = 4.45 - 1.2

X = 3.25

Cost of a loaf of bread = $3.25

Coat of an egg = $0.2

In Noah's classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students?



A. 3:1

B. 1:4

C. 4:1

D. 1:3

Answers

Answer:

A-3:1

Step-by-step explanation:

Simplify 6:2 by dividing by 2

Your target number of calories is 2400 per day to lose weight, but you are consuming 3200 calories per day. Your target is what percentage of your consuming calories? Insert your answer as a whole percentage WITHOUT the % symbol.

Answers

Answer:

75

Step-by-step explanation:

Your target number of calories is 2,400 per day inorder to lose some amount of weight.

Instead 3,200 calories is consumed

Therefore the percentage of target that is consumed can be calculated as follows

= 2,400/3,200 × 100

= 0.75 × 100

= 75

Hence the percentage of calories that is consumed is 75

Una piscina rectangular de 15 metros de largo por 9 metros de ancho està rodeada por un
camino de cemento de ancho uniforme. Si el área del camino es 112 metros cuadrados, ¿cuánto
mide su ancho?

Answers

Answer: 2 meters.

Step-by-step explanation:

Let w = width of the cement path.

Dimensions of pool : Length = 15 meters , width = 9 meters

Area of pool = length x width = 15 x 9 = 135 square meters

Along width cement path, the length of region = [tex]2w+15[/tex]

width = [tex]2w+9[/tex]

Area of road with pool =  [tex](2w+15) (2w+9)[/tex]

[tex]= 4w^2+30w+18w+135\\\\=4w^2+48w+135[/tex]

Area of road = (Area of road with pool ) -(area of pool)

[tex]\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2[/tex]

width cannot be negative, so w=2 meters

Hence, the width of the road = 2 meters.

1) Simplify x3 x4 using the product of powers property.
Les

Answers

Answer:

Step-by-step explanation

[tex]a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}[/tex]

In product of powers, if base is same, just add the powers

If you flip a coin ten times and get tails three times; what is the experimental probability of getting heads?

Answers

Answer:

50 goes to 25 to 12.5 then 6.25%

Step-by-step explanation:

i hope i helped

Algebra with pizzza pg 55 can anyone solve for 100 points

Answers

Here’s the answer key


Find the perimeter of the shape below. Show your work!! Use 3.14 as an approximation for pi. Round solution
to nearest hundreth.
12 cm
7 cm​

Answers

Answer:

The perimeter of the shape below is 44.48cm

Step-by-step explanation:

To calculate the perimeter of this figure we have to add

7cm + 12cm + 7cm + ( perimeter of semicircle)

To calculate the perimeter of the semicircle we have to use the following equation

d = 12cm

r = d/2 = 12cm/2 = 6cm

c = perimeter of semicircle

r = radius = 6cm

π = 3.14

c = π * r

we replace with the known values

c = * 3.14 * 6cm

c = 18.84cm

The perimeter of the semicircle is 18.84cm

Now that we have this value we can calculate the perimeter of the figure

7cm + 12cm + 7cm + ( 18.84cm ) = 44.48cm

The perimeter of the figure is 56.84 cm

What is the area of the rectangle?

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: A semicircle on top of the rectangle with dimensions 12, 7 cm respectively .

Thus perimeter of the figure = perimeter of semi circle+ perimeter of rectangle

∴ 3.14×6+2(12+7)=56.84 cm

Hence, The perimeter of the figure is 56.84 cm

Learn more about area here:

https://brainly.com/question/20693059

#SPJ2



1. Order each group of
numbers from least to
greatest:
9,616
9,016 9,916 9.916.1


Answers

numbers from least - to - greatest

9,0169,6169,9169,916.1

hope that helps !

Una planta procesadora de alimentos desea producir 1000 litros de salsa de tomate con 30%de azúcar. Si tienen una salsa con 25% de azúcar y otra con 45%, ¿qué cantidad de cada clase de salsa deben emplear?

Answers

Answer: Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.

Step-by-step explanation:

Lo que tiene la planta es:

Una salsa con 25% de azúcar

Una salsa con 45% de azúcar.

Vamos a definir dos cantidades, A y B.

A es la cantidad de salsa con 25% de azúcar usada, y B es la cantidad de salsa con 45% de azúcar usada.

Como queremos producir 1000 litros de salsa, tenemos la ecuación:

A + B = 1000 L

Ahora, queremos que el producto final tenga 30% de azúcar.

El porcentaje de azúcar se define como:

(Cantidad de azúcar/Cantidad total de salsa)*100%.

Ahora, si la cantidad A tiene 25% de azúcar, entonces la cantidad total de azúcar es:

0.25*A

Y la cantidad B tiene 45% de azúcar, entonces acá la cantidad es:

0.45*B

Entonces cuando los mezclamos, la cantidad total de azúcar es:

(0.25*A + 0.45*B)

Y usando la formula de arriba, tenemos que:

100%*(0.25*A + 0.45*B)/(A + B) = 30%

Ahora divido ambos lados por 100%.

(0.25*A + 0.45*B)/(A + B) = 0.30

Entonces tenemos un sistema de dos ecuaciones:

A + B = 1000 L

(0.25*A + 0.45*B)/(A + B) = 0.30

El primer paso es aislar una de las variables en una de las ecuaciones, en este caso voy a aislar A en la primer ecuación:

A = 1000L - B

Ahora puedo reemplazar esto en la segunda ecuación:

(0.25(1000L - B) + 0.45*B)/(1000L - B + B) = 0.30

Y ahora lo resolvemos para B.

(250 L - 0.25*B + 0.45*B)/1000L = 0.30

250L + 0.20*B = 0.35*1000L = 300L

0.20*B = 300L - 250L = 50L

B = 50L/0.2 = 250L

Entonces:

A = 1000L - 250L = 750L.

Tenemos que usar 750L de la salsa con 25% de azúcar, y 250% con la salsa de 45% de azúcar.

Answer these questions please

Answers

Step-by-step explanation:

hope This helps for you

Answer:

Step-by-step explanation:

Common factors are the number's , variables found in each of the terms

1) 21x²y = 3 * 7 * x * x * y

  35xy² = 5 * 7 * x    *  y * y

Common factor = 7 * x * y

                          = 7xy

Answer :(iii) 7xy

2)a² - b² = (a + b)(a - b)

1 - x² = (1 - x) (1 +x)

(ii)

3) x³ - x = x(x² - 1)

            = x(x + 1)(x - 1)

Answer: (iv)

4) 225 =  15 * 15 = 15²

x³ - 225x = x(x² - 225)

                = x(x² - 15²)            {a² - b² =(a + b)(a - b)}

                = x(x + 15)(x - 15)

Answer: (ii)

5) 12a²b = 3 * 4 * a * a * b

   15ab² = 3 * 5 * a *     b * b

Common factor = 3 * a * b = 3ab

12a²b + 15ab² = 3*4*a²*b +  3*5*a*b²

                      = 3ab (4a + 5b)

Answer:(ii)

Which number should go in the ?
5 + 3 = 3 + 0
() 8

Answers

I feel like it should be 5
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