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kykrilka [37]
3 years ago
7

Solve the equation. 3(x−9)=30

Mathematics
2 answers:
maria [59]3 years ago
8 0

Answer:

x = 19

Step-by-step explanation:

First, we must distribute 3(x-9) = 30

3x - 27 = 30

Now, that we've distributed this equation, we can proceed.

Secondly, since there is a subtraction sign in front of 27, we must do the opposite, addition.

Add 27 to 27 and 30:

3x - 27 = 30

-27 + 27 = 0

30 +  27 = 57

Furthermore, -27 + 27 is 0, so it cancels itself out. Also, since we added 30 and 27 and got 57, replace 30 with 57.

3x = 57

Lastly, divide 57 by the number in front of coefficient, 3.

57/3=19

Therefore, x=19.

**TO MAKE THIS MORE UNDERSTANDING, THIS IS HOW YOUR EQUATION SHOULD LOOK WHILE SOLVING**

a_sh-v [17]3 years ago
3 0

Answer:

x = 19

Step-by-step explanation:

3(x - 9) = 30

Divide both sides by 3 to isolate the binomial.

x - 9 = 10

Add 9 to both sides to isolate x.

x = 19

Check your answer by plugging x = 19 back into the equation.

3(x - 9) = 30

3(19 - 9) = 30

Subtract.

3(10) = 30

Multiply.

30 = 30

Your answer is correct.

Hope this helps!

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Write an equation representing the fact that the product of two consecutive odd integers is 255. use x to represent the smaller
USPshnik [31]

The first odd number = 15

The second is then = 17

<h3>The Consecutive numbers are:</h3>

Consecutive numbers are those that appear consecutively after one another in the range of smallest to largest. An illustration would be the sequence of numbers 1, 2, 3, 4, 5, and so on.

<h3>Where can I find consecutive numbers?</h3>

Let x be the first of the following numbers to represent it algebraically. Following that, the numbers x + 1, x + 2, and x + 3 would be arranged in order. You must make sure that your first selection is an even number if the question requires consecutive even numbers.

<h3>According to the given information:</h3>

We can employ the expression "2n," where n is any integer, to ensure that the result is even. By using the expression "2n + 1," we can ensure an odd number.

"2n + 3" will be the following odd number:

(2n + 1)(2n + 3) is the component of the odd integers, and it equals 255:

(2n + 1)(2n + 3) = 255

4n2 + 8n + 3 = 255

4n2 + 8n - 252 = 0

n2 + 2n - 63 = 0

(n + 9)(n -7) = 0

n = -9 and n = 7

We can disregard n = -9 because we are informed that the figures must be positive.

If n = 7,

The first odd number = 2(7) + 1 = 15

The second is then 17

To know more about consecutive numbers visit:

brainly.com/question/2493629

#SPJ4

I understand that the question you are looking for is:

The product of 2 positive, consecutive odd numbers is 255 .

Part A: Write a quadratic equation in standard form to represent this problem

Part B: What are the 2 numbers?

Part C: Show your work for Part B.

3 0
2 years ago
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