What’s the answer please.

The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York

beks73 [17]

Answer:

2 hours

Step-by-step explanation:

Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.

To find : How many hours will the slower train travel for before both trains will arrive at the same point?

Solution : Let the distance covered by NY is x

and let the distance covered by KY is y

Total distance covered is $x+y=720$ ........[1]

→ New York city,

Distance traveled = x

Speed of the train = 80 mph

Time taken = t+2

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t+2=\frac{x}{80}$ .......[2]

→ Louisville,

Distance traveled = y

Speed of the train = 60 mph

Time taken = t

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t=\frac{y}{60}$ .......[3]

Put the value of t from [3] into [2]

$\frac{x}{80}- \frac{y}{60}=2$ ......[4]

Now, we solve equation [1] and [4],

Put the value of y from [1] and put back in [4], $y=720-x$

$\frac{x}{80}- \frac{y}{60}=2$

$\frac{x}{80}- \frac{720-x}{60}=2$

$\frac{60x-80(720-x)}{80\times60}=2$

$60x-57600+80x=9600$

$140x-57600=9600$

$140x=57600+9600=67200$

$x=\frac{67200}{140}=480$

Put x=480 in [1]

$x+y=720$

$480+y=720$

$y=240$

So, The distance covered by train from New York city is x=480 miles

The distance covered by train from Louisville is y=240 miles.

Now put value of y in [3] to get time,

$t=\frac{y}{60}$

$t=\frac{240}{60}$

$t=4$

So, The time taken by train from Louisville is 4 hr.

The time taken by train from New York city is t+2=4+2=6 hr.

→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.

7 0

3 years ago

Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?

klasskru [66]

You are to graph y = |1.6x – 2| – 3.2. I trust you know that the graph of y=|x| is v-shaped, opening up, with vertex at (0,0).

Let's rewrite y = |1.6x – 2| – 3.2 by factoring 1.6 out of |1.6x - 2|:

y = 1.6*|x – 2/1.6| – 3.2

This tells us that the vertex of y = |1.6x – 2| – 3.2 is at (2/1.6, -3.2). If you need an explanation of why this is, please ask.

Plot the vertex at (1.25, -3.2).
Find the y-intercept: Let x = 0 in y = |1.6x – 2| – 3.2 and find y:

y = 2-3.2 = -1.2

The y-intercept is located at 0, -1.2)

Plot this y-intercept.

Now draw a straight line from the vertex to this y-intercept. Reflect that line across the y-axis to obtain the other half of the graph.

8 0

3 years ago

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Three consecutive integers add up to -36. What are the integers?

nasty-shy [4]

Answer:

We know our answer is correct because 11 + 12 + 13 equals 36 as displayed Below

Explanation

3X + 3 = 36 3X + 3 - 3 = 36 - 3 3X = 33 3X/3 = 33/3 X = 11 Which means that the first number is 11, the second number is 11 + 1 and the third number is 11 + 2. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36 We know our answer is correct because 11 + 12 + 13 equals 36 as displayed above. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36

Plz mark brainliest if helps Also hope helps:)

4 0

3 years ago

Complete each of the following statements with the letter that represents the expression

I am Lyosha [343]

Answer:

B, A, C if you are going in order downwards.

Step-by-step explanation:

idk if this is the right answer bc I had the same question with that same sentence and I got the correct answer so I decided to answer your question for u. Hope it helps.

3 0

3 years ago

Like terms and unlike terms

vaieri [72.5K]

Answer:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.

Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz2 and −5xyz2 are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all

5 0

4 years ago

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