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nadezda [96]
3 years ago
9

What is x-7=-16 and witch property of equality did you use to solve x

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer: x = -9/ addition property of equality

Explanation: In this problem, we're given that x - 7 = -16 and we're asked to solve the equation and explain which equality we used.

The first statement we have will be

the given statement which is x - 7 = -16.

Now, we just solve the equation.

Our first and only step will be to add 7 to both sides.

Then, we find that x = -9.

The property we used here was the addition property of equality.

This property tells us that we can add the same quantity,

or equal quantities, to both sides of an equation.

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Using the following equation, find the center and radius of the circle: x^2 + y^2 +2x − 4y − 20 = 0
DanielleElmas [232]
You have to complete the squares on both the x terms and the y terms in order to solve this. Move the 20 over to the other side so it's negative. Group the x terms together and complete the square to get (x^2+2x+1) and then do the same with the y terms: (y^2-4y+4). You have to add 1 and 4 to other side with the 20 to get a 25. Then create 2 perfect square binomials within each x and y value to get the vertex coordinates: (x+1)^2 + (y-2)^2 = 25. This tells us that the vertex is located at (-1, 2) and the radius is the square root of 25 which is 5.So the answer is the first choice above.
6 0
3 years ago
Due to a packaging error, 4 cans labeled diet soda were accidentally filled with regular soda and placed in a 12 pack carton of
Sophie [7]

Answer:

Probability that both cans were regular soda =  \frac{1}{11}

Step-by-step explanation:

Probability = \frac{Desired outcome}{Total possible outcomes}

We are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.

Probability that first can is a regular soda:

Outcome that first can is a regular soda will give us the number of regular soda available which are 4

Using formula of probability

Total possible outcomes are, n(total) = 12

Desired outcome: 4 (cans of regular soda)

P(1st can) =  \frac{4}{12} = \frac{1}{3}

Probability that 2nd can is a regular soda:

<em>As we have already taken a can of regular soda from the pack, the total soda in the pack now 11 and the regular soda left are 3.</em>

Total possible outcomes are, n(total) = 11

Desired outcome: 3 (cans of regular soda as one has already been taken)

P(2nd can) =  \frac{3}{11}


Probability that both cans are regular soda:

P(both) = P(1st can) × P(2nd can)

             = \frac{1}{3} * \frac{3}{11}

             = \frac{1}{11}

3 0
3 years ago
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3 years ago
(4x1000) + (2x100) + (3x1/10)
disa [49]
(4*1000) + (2*100) + (3*1/10) = <span>4200.3
</span>(4x1000) + (2x100) + (3x1/10) = <span>4200.3
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Both are equal.
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3 years ago
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dezoksy [38]

Answer:

n=13

Step-by-step explanation:

3n-6=33

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