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Olegator [25]
3 years ago
10

Use complete sentences to describe why it is necessary to do the same thing to both sides of an equation to perform valid operat

ions
Mathematics
2 answers:
ella [17]3 years ago
8 0

Answer:

It is necessary to do the same thing to both sides of th equation to perform valid operations because your equation would change otherwise. If you do not do the same action on both sides, your equation will not stay the same as it started. One side could get too large or too small in amount for the other side.

Step-by-step explanation:

Take 2x + 7 = 6 for example. First, you would subtract 7 from both sides. Your new equation is 2x = -1. Then, divide two from both sides. The new equation is x = -\frac{1}{2}.

If you hadn't subtracted 7 from both sides, the equation wouldn't have stayed the same, and you wouldn't have gotten the correct answer. Your equation would have changed to 2x = 6. Your answer would be x = 3. These two equations are not the same.

This shows that it is necessary to do the same thing to both sides of the equation.

Hope it helps. Good Luck!

rodikova [14]3 years ago
5 0
It’s just to make sure it’s right and check your work for back up. Also to make sure nothing went wrong in the equation
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What is the momentum of a 110 kg professional fullback running across the line at 9.2 m/s
Naya [18.7K]

Answer:

p = 1012\ kgm/s

Step-by-step explanation:

In physics the linear momentum p of an object is defined as the product of its mass by its velocity.

p = mv

Where m is mass and v is velocity

In this case the professional fullback has a mass m = 110\ kg and a speed v = 9.2\ m / s

Then the momentum is:

p = 110*9.2

p = 1012\ kgm/s

6 0
3 years ago
Rewrite –220° in radians. Write the solution as a fraction in simplest form.
son4ous [18]

Answer:

- \frac{11\pi }{9}

Step-by-step explanation:

To convert degrees to radians

radian measure = degree measure × \frac{\pi }{180} , then

radian measure = - 220 × \frac{\pi }{180} ( divide 220 and 180 by 20 )

                           = - \frac{11\pi }{9}

7 0
3 years ago
There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansi
dusya [7]

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000

7 0
3 years ago
PLEASE HELP :((<br><br> Which inequality is represented by the graph?
4vir4ik [10]

Answer:

y < 5/3x -3

Step-by-step explanation:

Used Desmos graphing calculator :)

4 0
4 years ago
How many different four-letter arrangements can be formed using the six letters A, B, C, D, E and F, if the first letter must be
Ainat [17]

Answer with Step-by-step explanation:

We are given that A,B,C,D,E and F.

We have to find the number of  different four -letter arrangements can be formed using given six letters a,if the first letter must be C and one of the other letters must be B and no letter can be used more than once in the arrangement.

Number of letters=6

We have to arrange  four letter  out of six

After fixing C and B then we choose only two letters out of remaining four letters and repetition is not allowed.

Permutation formula :nP_r=\frac{n!}{(n-r)!}

We have n=4 an r=2

Using this formula and substitute the values

Then, we get 4P_2=\frac{4!}{(4-2)!}=\frac{4\times 3\times 2!}{2!}

4P_2=4\times 3=12

Hence, number of different four -letter arrangements can be formed using six letters when repetition is not allowed=12

8 0
4 years ago
Read 2 more answers
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