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3 years ago

{x + 6y = 27 7x -3y = 9

Mathematics

1 answer:

blondinia [14]3 years ago

8 0

Answer: x=36

Simplifying

6x + 27 = 7x + -9

Reorder the terms:

27 + 6x = 7x + -9

Reorder the terms:

27 + 6x = -9 + 7x

Solving

27 + 6x = -9 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

27 + 6x + -7x = -9 + 7x + -7x

Combine like terms: 6x + -7x = -1x

27 + -1x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0

27 + -1x = -9 + 0

27 + -1x = -9

Add '-27' to each side of the equation.

27 + -27 + -1x = -9 + -27

Combine like terms: 27 + -27 = 0

0 + -1x = -9 + -27

-1x = -9 + -27

Combine like terms: -9 + -27 = -36

-1x = -36

Divide each side by '-1'.

x = 36

Simplifying

x = 36

Step-by-step explanation:

Hope it Helps :)

Brainliest pls? Have a good day/night

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Step-by-step explanation:

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(3x +8)( 12+8)

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Y = -8x – 30 y = 2x + 150

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Step-by-step explanation:

y - y = 2x + 150 -( - 8x - 30 )

0 = 2 x + 150 + 8 x + 30

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- 180 = 10 x

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3 years ago

Find the area of this regular polygon round to nearest tenth

Bezzdna [24]

Answer:

$A=163.9in^2$

Step-by-step explanation:

Let's use the regular polygon area formula when given the radius.

$A=\frac{(r^{2})(n)sin(\frac{360}{n})}{2}$

r is radius

n is the number of sides

Let's plug in the proper values into this equation and simplify:

$A=\frac{(7.74^{2})(7)sin(\frac{360}{7})}{2}$

$A=\frac{(59.9076)(7)(0.78183148)}{2}$

$A=\frac{327.86353299}{2}$

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4 years ago

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a

enyata [817]

Complete Question

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults.

a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies

a-2) What is the standard deviation?

a-3) What is the likelihood that exactly 3 adults would indicate the Treasury should continue making pennies?

Answer:

a-1 $\= x = 11 .52$

a-2 $\sigma = 2.036$

a-3 $P(3) = 4.7*10^{-5}$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 18$

The proportion of adult that felt the U.S. Treasury should continue making pennies is p = 0.64

The proportion of adult that feel otherwise is

$q = 1- p = 1-0.64 = 0.36$

The mean is mathematically evaluated as

$\= x = n * p$

substituting values

$\= x = 18 * 0.64$

$\= x = 11 .52$

The standard deviation is mathematically represented as

$\sigma = \sqrt{ npq}$

substituting values

$\sigma = \sqrt{18 * 0.64 * 0.36}$

$\sigma = 2.036$

The likelihood that 3 adult would indicate the Treasury should continue making pennies is mathematically evaluated as

$P(3) = \left n} \atop \right. C_3 (p)^{3} * (q)^{n-3}$

Now

$\left n} \atop \right. C_3 = \frac{n! }{[n-3] ! 3!}$

substituting values

$\left n} \atop \right. C_3 = \frac{18! }{[15] ! 3!}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 * 15! }{[15] ! (3 *2 *1 )}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 }{ (3 *2 *1 )}$

$\left n} \atop \right. C_3 = 816$

$P(3) = 816 * (0.64 )^3 * (0.36 )^{18-3}$

$P(3) = 4.7*10^{-5}$

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quester [9]

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