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IgorLugansk [536]
3 years ago
14

A freight train averages 20 miles per hour traveling to its destination with full cars and 30 miles per hour on the return trip

with empty cars. What is the train's average speed for the entire trip
Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

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What is the length of the diagonal of rectangle abcd ?
NISA [10]
Answer b 26 because a squared plus b squared = c squared so 10x10 + 24x24 = 676 and so you take the square root of 676 which is 26.
4 0
3 years ago
Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
2 years ago
show three ways to estimate 3/5 ×9 1/2. identify each method you use. ( I have estimating and compatible. another one is what I
Iteru [2.4K]
12 because I said so :)
6 0
3 years ago
11 pounds 13 ounces = ounces
lawyer [7]
1 pound = 16 ounces so let's go ahead and convert 11 pounds to ounces by multiplying by 16. 11×16=176 and then add 13 to that 176+13=189

so 12 pounds and 13 ounces= 189 ounces


6 0
3 years ago
Silvia buys 12 steaks that are each 34 of a pound. She spends a total of $90 on steaks. Complete each sentence. Silvia buys a to
scZoUnD [109]
I think in the first sentence, that should have been 3/4 instead of 34. Total amount of steak bought (lb)
                                        total amount = (3/4 lb/steak)(12 steak) = 9 lb
To find the total amount that Silvia spends for each pound of steak, we divide $90 by 9 and that will give us an answer of $10. 
5 0
3 years ago
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