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Verdich [7]
2 years ago
8

Solve the system with elimination. x - 2y = 4 3x + y = 6 ? ]

Mathematics
2 answers:
FrozenT [24]2 years ago
8 0
X = 16/7, y = -6/7

For elimination I will multiply the first equation by -3 to get the x to cancel

x - 2y = 4 --> -3x + 6y = -12

Now we bring back the other equation and treat it like an addition problem:

-3x + 6y = -12
3x + y = 6
+———————
7y = -6

y = -6/7

To get x we will use this y-value and plug it into one of the equations:

3x + y = 6,
3x + (-6/7) = 6
3x - 6/7 = 6
3x = 48/7
x = 16/7

So the solution is x = 16/7, y = -6/7, and if you are ever unsure you can put both of these values into both system of equations to see if the equations are true.
Anna71 [15]2 years ago
5 0
\bold{FULL ANSWER:}

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Find the circumference of 20yd
Svetradugi [14.3K]
I'm guessing you want to know the circumference of a circle with a 20 yard radius or circumference?

circumference = 2 * PI * radius = 2 * PI * 20 = <span> <span> <span> 125.66</span></span></span>

circumference = PI * diameter = PI * 20 = <span> <span> <span> 62.83</span></span></span>


3 0
2 years ago
If you pull eight coins from your pocket, and none of them are pennies, what is the most money that you could have? The least?
kramer
If you're based in the UK, you could say up to £800 as we have £100 coins here.

Lowest amount? Besides our penny our least valuable coin is the 2 penny coin. So barring pennies the least you could pull out of your pocket if you're based in the UK is 16p.
5 0
3 years ago
Read 2 more answers
Put the square root of 16 on a number line
son4ous [18]

Answer:

4

Step-by-step explanation:

The square root of 16 is four since 4 x 4 is 16.

7 0
2 years ago
Read 2 more answers
Bill and Felicia each bake cookies for a party. Bill bakes 3 times as many cookies as Felicia. Felicia bakes 24 fewer cookies th
denis-greek [22]

Answer:

  • b = 3f
  • f = b -24

Step-by-step explanation:

The word problem describes two relationships between the numbers of cookies baked. When b and f represent the numbers of cookies baked by Bill and Felicia, respectively, those relationships are ...

  1. Bill bakes 3 times as many cookies as Felicia. (b = 3f)
  2. Felicia bakes 24 fewer cookies than Bill. (f = b-24)
4 0
3 years ago
A random variable X follows the uniform distribution with a lower limit of 670 and an upper limit of 750.a. Calculate the mean a
DENIUS [597]

You can compute both the mean and second moment directly using the density function; in this case, it's

f_X(x)=\begin{cases}\frac1{750-670}=\frac1{80}&\text{for }670\le x\le750\\0&\text{otherwise}\end{cases}

Then the mean (first moment) is

E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\frac1{80}\int_{670}^{750}x\,\mathrm dx=710

and the second moment is

E[X^2]=\displaystyle\int_{-\infty}^\infty x^2\,f_X(x)\,\mathrm dx=\frac1{80}\int_{670}^{750}x^2\,\mathrm dx=\frac{1,513,900}3

The second moment is useful in finding the variance, which is given by

V[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2=\dfrac{1,513,900}3-710^2=\dfrac{1600}3

You get the standard deviation by taking the square root of the variance, and so

\sqrt{V[X]}=\sqrt{\dfrac{1600}3}\approx23.09

8 0
2 years ago
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