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Fed [463]
3 years ago
10

Thomas is doing a proof for solving the equation 6(2x-5)=-34

Mathematics
2 answers:
Anton [14]3 years ago
4 0

Step-by-step explanation:

  • 6(2x-5)=-34
  • 12x-30=-34
  • 12x=-34+30
  • 12x=-4
  • x=-4/12
  • x=-0.333
alexgriva [62]3 years ago
3 0

Answer: x = -1 / 3

Step-by-step explanation:

<u>Given expression</u>

6 (2x - 5) = -34

<u>Expand the parentheses and apply the distributive property</u>

6 · 2x - 6 · 5 = -34

12x - 30 = -34

<u>Add 30 on both sides</u>

12x - 30 + 30 = -34 + 30

12x = -4

<u>Divide 12 on both sides</u>

12x / 12 = -4 / 12

\boxed{x=-\frac{1}{3} }

Hope this helps!! :)

Please let me know if you have any questions

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On the right side, give a reason to justify each step made on the left
cestrela7 [59]

Given that: step 1

3x+12=8x-18

step 2: subtract 3x both side

\begin{gathered} 3x+12-3x=8x-3x-18 \\ 12=5x-18 \end{gathered}

Step 3: Add 18 both side:

\begin{gathered} 12+18=5x-18+18 \\ 30=5x \end{gathered}

Step 4: divide both side by 5

\begin{gathered} \frac{30}{5}=\frac{5x}{5} \\ 6=x \end{gathered}

Step:6 The value of x is:

x=6

8 0
1 year ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B11%7D%20%20%3D%20" id="TexFormula1
katrin2010 [14]

Solve. To solve this equation, you must change the divide sign into a multiplication sign.

To do so, change it into a multiplication sign, and flip the second fraction

(5/12)/(2/11) = 5/12 x 11/2

Multiply across

5/12 x 11/2 = 55/24

55/24, or 4 7/12

hope this helps

<em>~Rise Above the Ordinary</em>

7 0
3 years ago
When converting between two measurement units, how can you tell which operation to use
german
Most of the time its juss common sense where you can point the right measurement with just sense i guess
7 0
3 years ago
Read 2 more answers
According to the Statistical Abstract of the United States, in 2000, 10.7% of Americans over 65 years of age use the Internet. A
Dvinal [7]

Answer:

H0 : μ = 0.107

H1 : μ ≠ 0.107

Step-by-step explanation:

The claim is the alternative hypothesis. H1 ; which is a researcher's opinion that the proportion of Americans aged 65 and above using the internet as changed from the mean value of 10.7% (0.107). The direction of the change is not given, hence. We cannot use the greater or less Than sign as the direction of the change isn't specified by the researcher or data Given. Hence, the shift could be either to the right or left. Hence, the use of the equal to and not equal to sign.

The null will oppose the alternative hypothesis and take the stance that the proportion hasn't changed from the initial mean.

4 0
2 years ago
Please answer thiss!!!!
givi [52]

Answers:

a = 1/3

b = -6

c = 7

======================================================

Explanation:

The terms of the given expression rearrange to \frac{1}{3}x^2 - 6x+7 which is now in standard form (the exponents decrease when moving from left to right).

We can see that

a = 1/3

b = -6

c = 7

after matching that with the ax^2+bx+c form.

8 0
3 years ago
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