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2 years ago

Solve the equation < or >? +10 ? +13

Mathematics

1 answer:

TiliK225 [7]2 years ago

8 0

Answer:

the answer is <

Step-by-step explanation:

13 is bigger than 10.

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The speed-time graph shows the first 30 minutes of another train journey. The distance travelled is 100km. The maximum speed of

aalyn [17]

The question is missing the graph. So, the graph is attached below.

Answer:

The maximum speed of the train is $V=240\ km/h$

Step-by-step explanation:

Given:

Distance travelled is 100 km.

Time interval is 30 minutes.

We know that, area under the curve of a speed-time graph gives the total distance travelled by the train.

The area under the curve is the area of the given trapezium shape shown in the graph below.

The height of the trapezium is equal to the maximum speed of the train represented by 'V' km/h. The parallel sides are of lengths equal to (25 - 5 =) 20 min and (30 - 0 =) 30 min.

Converting the units of parallel sides from minutes to hours we get:

$30\ min=\frac{30}{60}=\frac{1}{2}\ h\\20\ min=\frac{20}{60}=\frac{1}{3}\ h$

Now, area of a trapezium is given as:

$Area=\frac{1}{2}\times\textrm{Sum of parallel sides}\times \textrm{Height}\\\\Area=\frac{1}{2}(\frac{1}{2}+\frac{1}{3})(V)\\\\Area=\frac{1}{2}(\frac{3+2}{6})(V)\\\\Area=\frac{1}{2}(\frac{5}{6})(V)\\\\Area=(\frac{1\times 5}{2\times6})(V)\\\\Area=\frac{5}{12}(V)$

Now, area under the curve is equal to the distance travelled. So,

$\frac{5}{12}(V)=100\\V=\frac{100\times12}{5}\\V=240\ km/h$

Therefore, the maximum speed of the train is $V=240\ km/h$

4 0

3 years ago

How do I change 2y = 3x + 8 into slope-intercept form?

Sophie [7]

ANSWER: Y=3/2x+4

Divide both sides of the equation by 2
Remove the parenthesis
Rewrite it as y=3/2x+4

7 0

2 years ago

What is the solution to the equation x-16=-8

Aneli [31]

Answer:

x = 8

Step-by-step explanation:

8 minus 16 equals to a negative answer, resulting to -8.

5 0

3 years ago

Read 2 more answers

Choose the algebraic expression that describes: 13 less than y.

Harrizon [31]

Y-13 because it’s less than y so it’s subtracting from the y

5 0

3 years ago

If p→qp→q, and q→rq→r, then thats all it says

Angelina_Jolie [31]

Answer: then q→r

Explanation:

If p → q

and q →r , then you can use the law of transitivity to conclude

q→r.

That is a basic law of sillogisms.

An example will help you to understand the transivity law:

Make p, stand for 3 > 3/4, q stand for 3/4 > 15 / 20, the you can conclude that 3 > 15 / 20.

3 > 3/4

3 /4 > 15 / 20

Then, 3 > 15 /20.

This is, from the fact that you know that 3 is gretar than 3/4 and that 3/4 is greater than 15/20, you can conclude that 3 > 15 / 20. That is transitivity and is a law of logic, which you can use to get conclusions.

8 0

3 years ago