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katrin [286]
3 years ago
5

What value of x is in the solution set of 2(3x – 1) = 4x - 6?

Mathematics
2 answers:
Andrei [34K]3 years ago
5 0

Answer:

x=-2

Step-by-step explanation:

2(3x – 1) = 4x - 6

Distribute

6x-2=4x-6

Moving like terms (4x)

2x-2=-6

Moving like terms (-2)

2x=-4

Divide both sides by 2 to isolate x

x=-2

Hope this helps! Please mark brainliest :)

Mekhanik [1.2K]3 years ago
4 0

Answer:

x= -2

Step-by-step explanation:

6x-2=4x-6

6x-2

<u>-4x-6</u>

<u>2x</u>=-<u>4</u>

2     2

x=-2

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The sum of two numbers is 134. If three times the smaller number is subtracted from the larger number, the result is 18. Find th
Phantasy [73]

Let, larger number be x and smaller number be y.

Condition 1: The summ of two numbers is 134.

It can be written as,

x+y=134\ldots\ldots\text{.}(1)

Condition 2: If three times the smaller number is subtracted from the larger number, the result is 18.

The equation is,

x-3y=18\ldots\ldots\ldots\text{.}\mathrm{}(2)

Solving equation 1 and 2,

\begin{gathered} \text{subtract equation (2) from (1),} \\ x+y-(x-3y)=134-18 \\ x+y-x+3y=116 \\ 4y=116 \\ y=29 \end{gathered}

Out the value of y=29 in equation (1),

\begin{gathered} x+y=134 \\ x+29=134 \\ x=105 \end{gathered}

Answer:

Larger number is x=105

Smaller number is y=29.

7 0
1 year ago
Mrs.Ziegler will use 1/5 of the 4gallons of milk she has to make chocolate pudding. How much milk will Mrs.Zirkle use to make ch
garri49 [273]
1/5=20%
4 gallons. 100%
x gallons. 20%
x=4•20/100
x=80/100
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Mrs. Zirkle will use 4/5 gallons of milk.
I am not 100% sure.
7 0
3 years ago
Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 2
Simora [160]

Answer:

241 clients

Step-by-step explanation:

His problem can be solved using the principle of proportionality or rule three.

We can take advantage of the proportion between respondents who tell us the number of respondents and how many expect to go on vacation and the total number of workers, therefore:  

                         Respondents /// Whole company

Vacations                  21                          x

Total                          45                        516

then x equals:

x = (516 * 21) / (45)

x = 240.8

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This means that approximately 241 clients expect to go on vacation throughout the company.

8 0
3 years ago
Read 2 more answers
Maritza is comparing cell phones plans and notices that verizon offers a plan that is $60 for 10GB of data and $12 for each extr
lukranit [14]

Answer:

60 + 12 * g, with g representing the number of extra gigabytes

Step-by-step explanation:

First, we know that Maritza has to pay $60 for 10GB of data, no matter what. Therefore, the base cost of the cell phone plan is 60 dollars, and all extra costs must be added to that. Currently, our expression is therefore 60 + something = cost of cell phone plan.

After that, the plan costs $12 for each gigabyte of data past 10 GB. This means that, for example, if Maritza uses 11 gigabytes, the plan will cost 60 (the base amount) + 12 for each gigabyte past 10 GB. There are 11-10=1 extra gigabytes, so the cost is 60 + 12 * 1 = 72 dollars. For each extra gigabyte, 12 dollars are added, so we can represent this as

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8 0
3 years ago
Add three data values to the following data set so the mean increases by 10 and the median does not change. {42, 37, 32, 29, 20}
aksik [14]
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Median = the valvue of the middle = 32.

New mean: 32+10= 42.

Sum of numbers in the new set = 42*8 = 336

Difference: 336 - 160 = 176

I want to include 32, so that the new median stays in 32.

So the other two numbers must add 176 - 32 = 144

I will use a smaller number than 32 and the other greater (again in order to  keep the same median.

I will choose 28 and 144 - 28 = 116.

So my three new numbers are 28, 32 and 116 and the new set is {116, 42, 37, 32, 32, 29,28, 20}

Checking:

Sum of the terms: 116+42+37+32+32+29+28+20 = 336

Mean = 336 / 8 = 42, which is 10 more than the original mean.

And the new median is (32+32)/2 = 32. The same of the original set.
8 0
3 years ago
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