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sertanlavr [38]
2 years ago
10

The sum of 4 consecutive integers is 110. Find the integers.

Mathematics
2 answers:
zloy xaker [14]2 years ago
8 0

Answer:

26, 27, 28, 29

Step-by-step explanation:

Let the first integer be x.

Then, (x)+(x+1)+(x+2)+(x+3) = 110

=> x+x+1+x+2+x+3 = 110

=> 4x+6 = 110

=> 4x = 110-6

=> 4x = 104

=> x = 104/4

=> x = 26

So, the four consecutive integers are:

1. x = 26

2. x+1 = 26+1 = 27

3. x+2 = 26+2 = 28

4. x+3 = 26+3 = 29

Klio2033 [76]2 years ago
6 0

Answer:

x + (x+1) + (x+2) + (x+3) = 110

4x + 6 = 110

4x = 104

x = 26

26,27,28,29

Step-by-step explanation:

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3 years ago
What 5x23p9x2 and what is the common number?
loris [4]
Hi There! :)

<span>What 5x23p9x2 and what is the common number?

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Therefore 2070 is the answer
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3 years ago
Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base of radius 7 ft and height 200
Virty [35]

Answer:

<em>work done is equal to 384279168 lb-ft</em>

<em></em>

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

The height of the cylinder is 200 ft

The weight density of water in the cylinder is 62.4 lb/ft^3

First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as \pi r^{2} h

where, r is the radius,

and h is the height of the cylinder.

the volume of the cylinder = 3.142* 7^{2}*200 = <em>30791.6 ft^3</em>

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = <em>1921395.84 lb</em>

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

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7 0
3 years ago
Find the values of x and y. The diagram is not to scale.
Aleksandr [31]

Step 1

<u>Find the value of x</u>

we know that

(x-1)\°=74\° -------> by corresponding angles, because the given lines are parallel

Solve for x

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Step 2

<u>Find the value of y</u>

we know that

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substitute the value of x and solve for y

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8 0
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