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EastWind [94]
3 years ago
12

- 2/3x=6 Solve for X

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
7 0

Answer: -9

Step-by-step explanation: In this equation, notice that <em>x</em> is being multiplied by a fraction. In this situation, in order to get <em>x</em> by itself, we must multiply both sides of the equation by the reciprocal of that fraction.

The reciprocal of a fraction is just that fraction flipped so the reciprocal of -2/3  is just -3/2. So here, in order to get <em>x</em> by itself, we multiply both sides of the equation by -3/2.

On the left, our 3's cancel and our 2's cancel and we have <em>x</em>. On the right our 6 and 2 reduced to 3 and 1 so we have 3 x -3 which is -9

Now we have x = -9.

BartSMP [9]3 years ago
6 0

Answer:

Step-by-step explanation:

-9

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If f(x)=3x^2-2x+5, find (-2)
WITCHER [35]
The answer is 21...3x^2=12 -2×=4 and add 5
8 0
4 years ago
Find the sum of the series 9+3+1+........+1/27​
Elina [12.6K]

Answer:

364/27

Step-by-step explanation:

9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.

 

The nth term is a1rn-1.

 

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

 

                                32(3-1)n-1 = 3-3

 

                                3231-n = 3-3

 

                                    33-n = 3-3

 

                                      3-n = -3

 

                                         n = 6

 

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

 

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

 

                                              = 9(1 - 1/729) / (2/3)

 

                                              = (27/2)(728/729) = 364/27

4 0
3 years ago
Mary is selling chocolate bars to raise money. She earns $3 for each solid milk chocolate bar sold and $4 for each caramel-fille
m_a_m_a [10]

Answer:

3m + 4c

Step-by-step explanation:

Whenever a word problem says the word earn that means the slope, also known as the rate of change, will be positive. Knowing this you can determine that both the caramel and milk chocolate slopes will be positive. After figuring all that out the only thing left to do is to make the equation. You know you have two slopes, and each slope needs a variable, so you will have to look back at the question. It is given that m represents the milk chocolate and c represents the caramel. Now all you have to do is make the slope the coefficient to the corresponding variable. The milk chocolates are 3 dollars, so the 3 goes in front of the m and the caramel chocolates are 4 dollars, so teh 4 goes in front of the 4. Since both slopes are positive no negatives or minus signs will be used in the equation. Knowing all this information you can now create the expression 3m + 4c.

6 0
3 years ago
To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?​
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