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PolarNik [594]
3 years ago
6

\large -6x+6y=6 \large 6x+3y=12

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

Answer:

the solution of the system is:

x = 1 and y = 2.

Step-by-step explanation:

I suppose that we want to solve the equation:

-6*x + 6*y = 6

6*x + 3*y = 12

To solve this, we first need to isolate one of the variables in one of the equations.

Let's isolate y in the first equation:

6*y = 6 + 6*x

y = (6 + 6*x)/6

y = 6/6 + (6*x)/6

y = 1 + x

Now we can replace this in the other equation:

6*x + 3*(1 + x) = 12

6*x + 3 + 3*x = 12

9*x + 3 = 12

9*x = 12 - 3 = 9

x = 9/9 = 1

Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.

y = 1 + (1)  = 2

Then the solution of the system is:

x = 1 and y = 2.

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A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z%
sergeinik [125]

Answer:

Both statements are sufficient to answer the question

Step-by-step explanation:

Given:

- The paint mixture has following proportions:

 Total volume of paint = T

 Blue:  x*T / 100

 Green: y*T/100

 Red: z*T/100

Find:

Statement 1: x = y

Statement: z = 60

Which of the above statement is sufficient to calculate the amount of green paint used

Solution:

Statement 1:

- The amount of blue paint used is:

                    1 gallon = x*T / 100

- x = y,

                    1 gallon = y*T / 100

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

Statement 2:

- The amount of red paint used is:

                    3 gallon = z*T / 100

                    T = 300 / z = 300 / 60 = 5 gallons

                    T = R + B + G

                    G = T - R - B

                    G = 5 - 3 - 1

                    G = 1 gallons

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

5 0
3 years ago
The product of 3 consecutive odd numbers is 2,145. Enter a simplified expression for finding the numbers. Let n be the first odd
Arlecino [84]

Answer:

11, 13 and 15.

Step-by-step explanation:

Let's say that the odd number is "x". If x is for example 15, then the next ODD number would be 15+2=17 and the one after that would be 15+2+2=15+4=19.

Applying that here, we get:

Odd number* the next odd number*the next odd number=2145

x*(x+2)*(x+4)=2145

x*(x^2+4x+2x+8)=2145

x^3+6x^2+8x=2145

By solving the polynomial, you get x=11.

Which makes our three numbers: 11, 13 and 15.

11*13*15=2145. The answer checks.

6 0
3 years ago
Find the measure of each interior angle of a regular 78-gon. Round to the nearest<br> tenth.
djverab [1.8K]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
How would you solve this problem 2/6×3= would you divide or multiply
Rainbow [258]
In the order of operation, multiplying or dividing don't take preference over the other. So with them, you work from left to right.

This means for this question, you first divide, then multiply.
5 0
3 years ago
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A square piece of cardboard has sides that are 7/12 meter long. What is the carb words perimeter
gavmur [86]

Since it’s a square all sides are even. Meaning you multiply 7/12 by 4. Giving you 7/3 or 2 ⅓. Hope this helps!

6 0
3 years ago
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