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GREYUIT [131]
2 years ago
14

What is the result of adding these two equations? 5x - y = 6 - 2x + y = 8

Mathematics
1 answer:
Eddi Din [679]2 years ago
5 0

Answer:

x=14/3

Step-by-step explanation:

5x-y=6

+ -2x+y=8

----------------

5x+(-2x)-y+y=6+8

5x-2x-y+y=6+8

3x=14

x=14/3

I apologize if something is incorrect, please me know how to fix it. Thank you!

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ANSWER

x^6 + 25x^5 + 250x^4 + 1250x^3 + 3125x^3 + 3125x

Step-by-step explanation:

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3 years ago
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3 years ago
If 3 boys can build 4 snowmen in 24 minutes how many will 9 boys finish building in an hour
andrey2020 [161]

Answer:

The boys can build 30 snowmen in an hour

Step-by-step explanation:

  Extracting the key information from the question:-

*** 3 boys can build 4 snowmen I 24 minutes.

*** 9 boys are to build  snowmen.

*** How many snowmen can be built by the 9 boys in an hour.

  Firstly, since 3 boys can build four (4) snowmen in 24 minutes, we need to convert one hour to minutes.

   60 minutes = 1 hour.

   Now, since three boys can build four (4) snowmen in twenty four (24) minutes, we need to know or find out how many snowmen  that none boys can build in the same time if they all work at the same rate as the three boys.

     

3 boys ------------- 4 snowmen (24minutes)

9 boys -------------- ? snowmen (24 minutes)

= 9/3  × 4

= 36/3

= 12 snowmen (24 minutes).

Now, 9 boys can build 12 snowmen in 24 minutes. All we now need to do is to determine or figure out  how many snowmen that the nine boys can build within an hour of work (60 minutes).

  Since nine boys can build 12 snowmen in 24 minutes, the number of snowmen that they can build in an hour (60 minutes) is:

(9 boys) 24 mins ------- 12 snowmen

(9boys) 60 mins --------- ? snowmen

  = 60/24  ×  12

 = 720/24

 = 30 snowmen

 Therefore, 9 boys can build 30 snowmen in one hour if they all build at the same rate as the initial three boys.

5 0
3 years ago
Read 2 more answers
Please help me with this please ASAP ASAP please ASAP
Bad White [126]

Given:

The diagram of a cone.

To find:

The lateral area, surface area and volume of the cone.

Solution:

From the given diagram, we get

Radius of the cone = 6

Slant height of the cone = 10

Suppose h be the height of the cone.

According to Pythagoras theorem:

hypotenuse^2=Perpendicular^2+Base^2

Using the Pythagoras theorem, we get

10^2=(6)^2+h^2

100=36+h^2

100-36=h^2

64=h^2

Taking square root on both sides, we get

\sqrt{64}=h

8=h

The lateral area of a cone is:

A_L=\pi rl

A_L=\pi (6)(8)

A_L=48\pi

The surface area of a cone is:

A_S=\pi rl+\pi r^2

A_S=\pi (6)(8)+\pi (6)^2

A_S=48\pi +36\pi

A_S=84\pi

Volume of cone is:

V=\dfrac{1}{3}\pi r^2h

V=\dfrac{1}{3}\pi (6)^2(8)

V=\dfrac{288}{3}\pi

V=96\pi

Hence, the lateral area of a cone is 48\pi sq. units, the surface area of a cone is 84\pi sq. units and the volume of the cone is 96\pi cubic units.

3 0
2 years ago
Which decision is NOT represented by one of these models?
faltersainse [42]

Answer:

A) 0.037

Step-by-step explanation:

The correct answer is 0.37. Every other answer choice was correct.

4 0
2 years ago
Read 2 more answers
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