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4 years ago

Set y= 22x+4 and y= 14x+28 equal and solve algebraically

Mathematics

1 answer:

Doss [256]4 years ago

3 0

Answer:

x = 3; y = 70.

Step-by-step explanation:

When you set the two equations equal to each other you get:

22x + 4 = 14x + 28

This is a multi-step equation since the variable is on both sides of the equal sign. In order to solve any equation, you must use inverse (opposite) operations to isolate the variable and whatever you do to one side of the equal sign, you must do to the other. The first step for this equation is to get the variable on one side and the constants on the other. Subtracting 14x from both sides: 22x - 14x + 4= 14x - 14x +28 gives us 8x +4 = 28. Next, subtract the 4 from both sides to get: 8x +4 - 4 = 28 - 4 or 8x = 24. Lastly, divide both sides by 8 to get x = 3. To solve for y, simply plug 3 in for 'x' in either of the initial equations: y = (22)(3) + 4 = 70.

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3 years ago

Given a sphere with a diameter of 4 inches, what is the volume of the sphere. write it out.

Art [367]

Answer:

around 33.51

Step-by-step explanation:

Hello! :)

Let’s start with the basics:

How to Find the Volume of a Sphere:

Formula: V= 4/3 $\pi$ r^3, which means the volume is 4/3 times the approximation of pi (3.14 or 22/7) time the radius with an exponent of 3.

Now that we know how to find the volume of a sphere, let’s solve the actual problem :D

The diameter is 4. We have to find the radius to find a volume of a sphere.

The radius is the diameter divided by 2; that makes our radius, 2.

So, V= 4/3 $\pi$ (2)^3
Let’s solve the exponent first. 2^3= 2(2)(2) which is 8.

Now, you can either solve 4/3 times 8 first, or 4/3 times pi. I’m going to solve 4/3 times 8 to make it a little bit easier.

4/3 times 8= 32/3 which is around 10.7 (10.6667).

Now, let’s do 10.7 times pi. (I’ll be using 3.14 as the approximation of pi.)

10.7 x 3.14= 33.598 (actual answer using 10.6667 is 33.51).

And there you go! I hope this helps, let me know if you have any questions/I did anything wrong. Good luck! :D

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