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Pavel [41]
3 years ago
14

The distance from Wakefield to London is 180 miles. A train travels this distance in 2 hours 15 minutes. Calculate the average s

peed of the train.
Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

v = 80 mph

Step-by-step explanation:

Given that,

The distance from Wakefield to London is 180 miles.

The train travels this distance in 2 hours 15 minutes.

We need to find the average speed of the train. The average speed of the train is equal to the total distance covered divided by the time taken.

v=\dfrac{d}{t}\\\\v=\dfrac{180\ miles}{(2+\dfrac{15}{60})\ h}\\\\v=80\ mph

So, the required average speed of the train is 80 mph.

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Now, with a ratio, we may do any allowable algebra operation: cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc.

Let's cross-multiply:

4x = (15)(6)

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3 years ago
Eight times a number minus 11 is 629.<br> What is the number?
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Step-by-step explanation:

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3 years ago
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melamori03 [73]
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6 0
3 years ago
Solve the system using substitution:<br> X+Y=5<br> Y=X - 9
makvit [3.9K]

Answer:

x = 7

y = -2

Step-by-step explanation:

There are 2 equations. The substitution method takes one equation and puts it into the other and solves for 1 variable. Then you take that answer and put into any one equation and solve for the other variable.

Since equation #2 is already given for y = SOMETHING, we take that something and put it into "y" of the 1st equation. Shown below:

x+y=5\\x+(x-9)=5\\x+x-9=5\\2x=5+9\\2x=14\\x=\frac{14}{2}\\x=7

We got x = 7

Now, we know from Equation #2, y = x - 9, so

y = x - 9

y = 7 - 9

y = -2

Hence,

y = -2

In coordinate pair, the answer is (7, -2)

3 0
3 years ago
2/5 times 4/5 I need step by step explanation PLEASE HELP ASAP I’m crying cause I’m struggling so much
Gelneren [198K]

Answer:

8/25

Step-by-step explanation:

2x4=8

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=8/25

(you can't simplify this any further)

7 0
3 years ago
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