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Nookie1986 [14]
1 year ago
10

Solve multi-step equations addition practice -5(6x+6)=30

Mathematics
1 answer:
Oksi-84 [34.3K]1 year ago
8 0

Answer:

\large\boxed{x=-2}

Step-by-step explanation:

How to solve equations?

To solve equations we use four mathematical operations: Addition, <em>Subtraction</em>, <em>Multiplication</em> and Division. Most of the time, two or more of these operations will be needed.

The first operation to be used in this equation is <em>Multiplication</em>. What's going to be <em>multiplied</em> is -5 by 6x+6:

-5(6x+6)=30

-30x-30=30

→ Add 30 to both sides.

-30x=60

→ Divide -30 into both sides.

-30x=60

-x=2

→ <em>Multiply</em> both sides by -1.

x=-2

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Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

  • If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
  • If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
  • If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
  • If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
  • If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
  • If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
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So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127  ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

3 0
3 years ago
Find the exact values of cos 3 pi/4 radians sin 3 pi/4 radians HELP!
bixtya [17]
In degrees: 3π/4 radians = 135°
Angle of x=135° is in the 2nd Quadrant and has negative cos x values and positive sin x values.
cos 135° = cos ( 90° + 45°)= - sin 45° =- \frac{ \sqrt{2} }{2}
sin 135° = sin ( 90° + 45° ) = cos 45° =\frac{ \sqrt{2} }{2}. You can also see the graph in the attachment. 
Download docx
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Answer:

I think your forgot to add some parts of this question, because you can't do anything with this except simplify it down a little maybe. But, I will provide the simplified version of this.

\frac{x-4}{x^2-2x}+\frac{4}{x^2-4}

= \frac{x-4}{x\left(x-2\right)}+\frac{4}{x^2-4}

= \frac{x-4}{x\left(x-2\right)}+\frac{4}{\left(x+2\right)\left(x-2\right)}

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= \frac{\left(x-4\right)\left(x+2\right)+4x}{x\left(x-2\right)\left(x+2\right)}

= \frac{x+4}{x\left(x+2\right)}

Step-by-step explanation:

Hope this helped!

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Answer:

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