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lyudmila [28]
3 years ago
9

Solve for x: 6x-4 over 3+2x=5/6

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Domain:\\\\3+2x\neq0\to x\neq-1.5\\\\\dfrac{6x-4}{3+2x}=\dfrac{5}{6}\qquad\text{cross multiply}\\\\6(6x-4)=5(3+2x)\qquad\text{use distributive property}\\\\(6)(6x)+(6)(-4)=(5)(3)+(5)(2x)\\\\36x-24=15+10x\qquad\text{add 24 to both sides}\\\\36x=39+10x\qquad\text{subtract 10x from both sides}\\\\26x=39\qquad\text{divide both sides by 26}\\\\x=\dfrac{39}{26}\\\\x=\dfrac{39:13}{26:13}\\\\\boxed{x=\dfrac{3}{2}}\in D

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A group conducted a poll of 2083 likely voters just prior to an election. The results of the survey indicated that candidate A w
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Answer:

With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

Step-by-step explanation:

A group conducted a poll of 2083 likely voters.

The results of poll indicate candidate A would receive 47​% of the popular vote and and candidate B would receive 44​% of the popular vote.

The margin of error was reported to be 3​%

So we are given two proportions;

A = 47%

B = 44%

Margin of Error = 3%

The margin of error shows by how many percentage points the  results can deviate from the real proportion.

Case I:

A = 47% + 3% = 50%

B = 44% - 3% = 41%

Candidate A wins

Case II:

A = 47% - 3% = 44%

B = 44% + 3% = 47%

Candidate B wins

As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

5 0
3 years ago
Find the greatest common factor of 15x 2 y 3 and -20x 3 yz.
vekshin1
Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get 
3x^2y. 
7 0
2 years ago
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2(2x + 7) = 2 + 2x<br>A. One Solution <br>B. No Solution <br>C. Infinite Solutions​
Rudik [331]
B. I am so sorry if it is not right
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3 years ago
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If p is a positive integer,then p(p+1)(p-1) is always divisible by?
ElenaW [278]

I am not quite sure what the choices are, but the answer to that problem is:

If p is a positive integer, then p(p+1)(p-1) is always divisible by “an even number”.

The explanation to this is that whatever number you input to that equation, the answer will always be an even number. This is due to the expression p(p+1)(p-1) which always result in a even product.

For example if p=3, then (p+1)(p-1) becomes (4)(2) giving you a even number.

And if for example if p=2, then (p+1)(p-1) becomes (3)(1) which gives an odd product, but we still have to multiply this with p therefore 2*3 = 6 which is even product. The outcome is always even number.

<span>Answer: From the choices, select the even number</span>

4 0
2 years ago
What is the relationship between the 1s in 911,147,835
lukranit [14]
Find the relationship of 1’s in the given number.
given number = 911 147 835
before we are going to determine the relationship of 1’s , let’s give each digit’s place value.
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=> we’ll those 1’s are 10 times greater with each other
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=> 1 000 000 x 10 = 10 000 000
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2 years ago
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