Paul travels from Rye to Eston at an average speed of 90km/h. He travels for T hours. Mary makes the same journey at an average speed of 70km/h. She travels for 1 hour long than Paul. Work out the value of T

Answers

Answer 1

Answer: Total distance covered;
For Paul;
sxt=distance
90*t= d
For mary;
s*t=d
70*(t+1)=d
70t+70=d

Since they cover same distance;
70t+70=90t
Putting like terms together;
70=90t-70t
70=20t
t=70/20
t= 3 and 1/2 hours

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1. Which economic policy was used to help American industry during the Second Industrial Revolution? A.) laissez-faire capitalism
B.) socialism
C.) collective bargaining
D.) populism

2. During the early 20th century, corporations used holding companies to do which of the following?
A.) reduce the power of unions
B.) shelter earnings from income taxes
C.) pursue a policy of vertical integration
D.) exert a greater amount of political influence

3. What impact did developments in the steel industry during the 19th century have on the United States?
A.) They made steel stronger and more flexible, allowing for the development of aircraft for the military.
B.) They made the consumption of oil more important, resulting in a growing dependence on foreign energy sources.
C.) They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation.
D.) They made it possible to manufacture inexpensive cars, leading to the construction of interstate highways.

Answers

Hello!

Economic policy used in the US during the second industrial revolution was the model of laissez-faire capitalism. Socialism and populism have not been used often in the US.

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The main consequence of the use of holding was to reduce the power of couplings, since it is configured symbolic monopoly.

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The steel industry has contributed to the territorial and technological expansion. This is remarkable when we look at the railroads.

hugs!

Below are the answers to the above questions:

1. laissez-faire capitalism
2. reduce the power of unions
3. They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation.

Thank you for posting your question here. I hope the answer helps.

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?The pool must have been empty for the entire interval.

The pool must have been the same depth at the start of the interval as it was at the end of the interval.

The pool must have been deeper at the end of the interval than it was at the start of the interval.

The pool must have been more shallow at the end of the interval than it was at the start of the interval.

Answers

Answer: The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

"The pool must have been the same depth at the start of the interval as it was at the end of the interval" is the statement among the choices given in the question that must be true. The correct option among all the options that are given in the question is the second option. I hope the answer has helped you.

What are the solutions to the equation? x2 + 6x = 40

Answers

x² + 6x = 40

Subtract 40 from both sides:

x² + 6x - 40 = 40 - 40

refine: x² + 6x - 40 = 0

factor x² + 6x - 40 = 0

( x- 4 ) ( x + 10 ) = 0

solve x - 4 = 0

x = 0 + 4

x = 4

solve x + 10 = 0

x = 0 - 10

x = - 10

solution : x = 4 , x = - 10

hope this helps!

Answer:

$x_1= 4\nx_2=-10$

Step-by-step explanation:

$x^2+6x=40$

Since it is an equation squared to find the two values of x we can apply the formula of the solver

$x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}$

we equate the equation to zero to be able to apply the solver

$x^2+6x=40\nx^2+6x-40=0$

$a=1 \nb=6\nc=-40$

$x = \frac {-6 \pm \sqrt {(6)^2 - 4(1)(-40)}}{2(1)}\nx = \frac {-6 \pm \sqrt {36+160}}{2}\nx = \frac {-6 \pm \sqrt {196}}{2}\nx = \frac {-6 \pm \ 14}{2}\nx_1= \frac {-6 +\ 14}{2}\nx_1= (8)/(2)= 4\nx_2=\frac {-6 - 14}{2}\nx_2=(-20)/(2)= -10$

$x_1= 4\nx_2=-10$

The temperature was 3 degrees Celsius it falls by 7 degrees celcuies what temperature is it now?

Answers

Answer:

-4°

Step-by-step explanation:

3-7 = -4

Solve this linear equations: x + y + z = 34 1x + 10y + 5z = 100

Answers

Answer

To solve this system of linear equations, we can use the method of substitution.

First, let's solve the first equation for x:

x = 34 - y - z

Now, we substitute this value of x into the second equation:

1(34 - y - z) + 10y + 5z = 100

34 - y - z + 10y + 5z = 100

34 + 9y + 4z = 100

Next, we simplify the second equation:

9y + 4z = 100 - 34

9y + 4z = 66

We can rewrite this equation as:

9y = 66 - 4z

y = (66 - 4z) / 9

Now, we substitute this value of y back into the first equation:

x + (66 - 4z) / 9 + z = 34

Multiplying through by 9 to eliminate the fraction:

9x + 66 - 4z + 9z = 306

9x + 5z = 240

Now we have a system of two equations in two variables:

9x + 5z = 240

9y + 4z = 66

We can solve this using the method of substitution or elimination. Let's use the method of elimination:

Multiplying the first equation by 4 and the second equation by 5, we get:

36x + 20z = 960

45y + 20z = 330

Subtracting the second equation from the first, we eliminate z:

36x - 45y = 630

We can simplify this equation by dividing through by 9:

4x - 5y = 70

Now, let's solve the new system of equations:

4x - 5y = 70

9y + 4z = 66

We can multiply the first equation by 9 and the second equation by 4 to eliminate x:

36x - 45y = 630

36y + 16z = 264

Now, subtracting the first equation from the second, we eliminate y:

36y + 16z - 36x + 45y = 264 - 630

81y + 16z = -366

Dividing through by 3, we get:

27y + 16z = -122

Now, we have a system of two equations in two variables:

4x - 5y = 70

27y + 16z = -122

We can solve this system using the method of substitution or elimination.

There are 2/8 cup of peanuts and 1/4 of Walnuts.Is there a greater amount of peanuts or walnuts? Explain

Answers

You will get 2/8 for your answer but if u simplify it will be 1/4

Answer: If you simplify 2/8 you get 1/4. Meaning there is the same amount of walnuts and peanuts

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