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3 years ago

How do I add: 1/3+1/4?

Mathematics

2 answers:

vlada-n [284]3 years ago

6 0

You convert the denominator into a common number. That is 12. You then add 4/12 + 3/12 = 7/12

inn [45]3 years ago

3 0

Get a common factor which would be 12.... the equation is now 4/12 + 3/12 which is 7/12

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A power plant burns 12 tons of coal per day to generate electricity. Each ton of coal produces

OleMash [197]

Answer:

32.97 tons of CO2 per day.

Step-by-step explanation:

From the question given above, the following were obtained:

Power plant burns = 12 tons of coal per day

1 ton of coal = 7327 kWh

CO2 emitted = 0.75 pound per kWh

Tons of CO2 emitted per day =?

Next, we shall convert 0.75 pound to ton.

This can be obtained as follow:

2000 pounds = 1 ton

Therefore,

0.75 pound = 0.75 pound/2000 pounds × 1 ton

0.75 pound = 3.75×10¯⁴ ton

Therefore, 0.75 pound is equivalent 3.75×10¯⁴ ton.

From the above, we can say that CO2 is emitted at 3.75×10¯⁴ ton per kWh.

Next, we shall determine the electricity generated per day.

This can be obtained as follow:

1 ton of coal = 7327 kWh of electricity

Therefore,

12 tons of coal = 12 × 7327

12 tons of coal = 87924 kWh of electricity.

Therefore, the plant produces 87924 kWh of electricity per day.

Finally, we shall determine the tons of CO2 emitted per day as follow:

1 kWh of electricity emitts 3.75×10¯⁴ ton of CO2.

Therefore, 87924 kWh of electricity will emitt = 87924 × 3.75×10¯⁴ = 32.97 tons of CO2 per day.

From the calculations made above, the pant emitts 32.97 tons of CO2 per day.

5 0

3 years ago

The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and

NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

$60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120$

Let's find h with the quadratic formula:

$\fbox {Quadratic formula:} \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}$

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation

$\fbox {Pythagorean equation:}$ <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>

The base and the height are our legs. We will use "H" for the hypotenuse

$H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17$

H = 17

If we decrease the base and the height by 2 centimeters, we have

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

$H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3$

$H' \approx 14.3$

So, the hypotenuse decreases $H - H' \approx 17 - 14.3 = 2.7$

3 0

3 years ago

I need help with this someone

Marina86 [1]

There are a lot of questions and work here, I can help you get started in the right direction.

On the left, you have the heights for Soil A. On the right, you have the height for Soil B. Looking at the overlap, there are a lot of heights in the 60's and 70's for both.

To calculate the mean, add up all the values and divide by the total.

For the MAD, you have to subtract each value from the mean. Then, take the absolute value of it. Finally, find the mean of those values.

The one with the higher MAD is more variable.

4 0

3 years ago

At a school fundraiser, for every 12 boxes of chocalate sold a

meriva

Answer/Step-by-step explanation:

72/12=6

6x5=30

30 points.

5 0

2 years ago

Algebraic Expression<br>x + y + 2<br>Constants | Variable/s/term/s Degree of term

aleksandr82 [10.1K]

Constants : 1 (the only constant term is 2)

Variables : 2 (x and y)

Terms : 3 ( x, y and 2)

Degree of term : 1

7 0

3 years ago