Two trains leave stations 288 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?

Answers

Answer 1

Answer:

Answer:To find out how long it will take for the two trains to meet, you can use the concept of relative speed. When two objects are moving toward each other, their relative speed is the sum of their individual speeds.

In this case, one train is traveling at 85 miles per hour, and the other is traveling at 95 miles per hour. So, their relative speed is:

Relative Speed = 85 mph + 95 mph = 180 mph

Now that you know the relative speed of the two trains, you can use the formula:

Time = Distance / Speed

The distance they need to cover to meet is 288 miles, and their relative speed is 180 mph. Plug these values into the formula:

Time = 288 miles / 180 mph

Time = 1.6 hours

So, it will take 1.6 hours for the two trains to meet. To express this in minutes, you can multiply by 60:

1.6 hours * 60 minutes/hour = 96 minutes

Therefore, it will take 96 minutes for the two trains to meet.

Step-by-step explanation:

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An object weighs 1 pound on earth weighs about 1/15 pounds on Pluto. If a man weighs 240 pounds on earth how many pounds would he weigh on Pluto?

Answers

Answer:

16 I believe. 240 divided by 15 is 16.

What is -14 squared + 5675843

Answers

Answer:

5676039

Step-by-step explanation:

-14² + 5675843

Solve for exponent.

196 + 56758

Add the numbers.

= 5676039

What is the probability that a randomly drawn hand of four cards contains all black cards or all face cards? The probability is 6 Round to four decimal places as needed.)

Answers

Answer: 0.05699

Step-by-step explanation:

The total number of cards in a deck = 52

The total number of black cards = 26

Then , $\text{P(Black)}=(C(26,4))/(C(52,4))=0.00182842367\approx0.00183$

The total number of face cards = 12

Then , $\text{P(Face)}=(C(12,4))/(C(52,4))\approx0.05522$

The number of cards that are black and face cards = 6

Then , $\text{P(Black and Face )}=(C(6,4))/(C(52,4))\approx0.00006$

Then , the probability that a randomly drawn hand of four cards contains all black cards or all face cards is given by :-

$\text{P(Black or Face)}=\text{P(Black)+P(Face)-P(Black and Face)}\n\n\Rightarrow\ \text{P(Black or Face)}=0.00183+0.05522-0.00006\n\n\Rightarrow\ \text{P(Black or Face)}=0.05699$

PLEASE HELP QUICK I NEED IT TO PASS. PLEASE SHOW STEPS, AND DON'T SPAM LINK PLEASE HELP. I NEED SOME HELP

Answers

Answer: 151

Step-by-step

you need to first find the area of each piece of the tent

the 2 rectangular flaps would be 6*8= 48 each

the bottom would be 4*8=32

to find the area of the triangular pieces we need to know the height of each triangle, right now we only know sides. To find the height (the altitude) you draw a line straight down to make a 90 degree angle.

that will also cut your base in half (2 instead of 4) and make 6 your hypotenuse

now use the Pythagorean theorem to find the height of the triangle

$a^(2) +b^(2) =c^(2) \n\na^(2) +2^(2) =6^(2) \na^(2) +4=36\na^(2) =32\na=√(32) = 5.66$