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Leno4ka [110]
3 years ago
6

Different forms of numbers three hundred twelve

Mathematics
1 answer:
Tanzania [10]3 years ago
4 0
312? Is this what ur asking
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3x - 2y + 3z = -20<br> 4x - 3y - 2z = 7<br> -5x + 5y + z = 9
skelet666 [1.2K]

Answer:

x= 4 y= 7 z= -6

Step-by-step explanation:

solve for one and you get them all

First, I got rid of the z by multiplying common factors (multiplied z by 2) and added equations 2 and 3 together after multiplying by 2

4x - 3y - 2z = 7

-10x+10y+2z= 18

-6x+7y= 25

Then multiplied z by -3 (to get rid of the z) with the original equation 3

3x - 2y + 3z = -20

15x-15y-3z= -27

18x-17y= -47

Next find common thing between the 2 equations we got and multiply it by that and combine (we can multiply first equation by 3 to get rid of the x and solve for y)

-18x+21y= 75

18x-17y= -47

y=7

Work backwards, substitute 7 into the above equation, you get x= 4 and then same for z to get z= -6

8 0
3 years ago
The state of Georgia has about 170 people per square mile. The area of Georgia is 59,425 square miles. What is the population of
kotykmax [81]
It should be about 10 million 

7 0
3 years ago
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
Greeley [361]
<u></u><u>The correct answer is 47.5%, or 0.475.</u>

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100.  This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean.  However, included in the 95% is data less than the mean and greater than the mean.  Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.
8 0
3 years ago
Read 2 more answers
It costs a baker 2x + 30 dollars to bake x muffins a day. Each muffin is sold for 5 dollars. How many muffins would the baker ne
Svetradugi [14.3K]

Answer:

X = 10

Step-by-step explanation:

The equation to use would be; 2x + 30 = 5x; because the baker is looking for enough to cover the costs, no more no less.

Then all you have to do is solve for the equation.

2x + 30 = 5x

Subtract 2x from each side

30 = 3x

Divide by 3

10 = x

The baker needs to sell 10 muffins in a day to make enough to cover the revenue.

8 0
3 years ago
Read 2 more answers
Find the area of a circle whose circumference is 24 pi.
lozanna [386]

Answer:

452.39 sq.unit is the area of that circle.

6 0
3 years ago
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