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2 years ago

How do you solve this step by step?

Mathematics

2 answers:

nikklg [1K]2 years ago

7 0

Answer:

-2/9

Step-by-step explanation:

first you are going to distrubute 2/5, so 2/5 times x is 2/5x and 2/5 times -2 is -4/5

next you set up the problem with those two answers which gives you:

2/5x - 4/5 = 4x

then multiply both sides of the equation by 5: 2x-4=20x

next move the constant to the right side and chnage the sign: 2x=20x+4

then combine like terms: -18x=4

after that divide both sides of the equation by -18: -2/9

so x= -2/9

igor_vitrenko [27]2 years ago

5 0

Answer:

x = -2/9

Step-by-step explanation:

2/5 (x - 2) = 4x

2/5x - 4/5 = 4x

2/5x - 4x = 4/5

2/5x - 20/5x = 4/5

- 18/5x = 4/5

- x = 4/5 / 18/5

- x = 4/5 * 5/18

- x = 4/18

x = - 4/18

x = - 2/9

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A carpet salesman earns a base pay of $19,800 per year and a commission of 12% of all sales made. If he sold $27,200 worth of me

mel-nik [20]

The equation for this problem would be

Total Earnings = Base Pay + 12% (Sales)

Substituting the known values,

Total Earnings = $19800 + 0.12($27200)
Total Earnings = $23,064

Thus, the answer is letter C.

I hope I was able to answer it clearly. Have a good day.

3 0

2 years ago

If x+y=12 and xy=15,find the value of (x^2+y^2)

Mice21 [21]

Answer: $x^2+y^2=\dfrac{105\pm 18\sqrt6}{2}$

Step-by-step explanation:

EQ1: x + y = 12 --> x = 12 - y

EQ2: xy = 15

Substitute x = 12-y into EQ2 to solve for y:

(12 - y)y = 15

12y - y² = 15

0 = y² - 12y + 15

↓ ↓ ↓

a=1 b= -12 c=15

$.\ y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\.\quad =\dfrac{-(-12)\pm \sqrt{(-12)^2-4(1)(15)}}{2(1)}\\\\\\.\quad =\dfrac{12\pm \sqrt{144-120}}{2}\\\\\\.\quad =\dfrac{12\pm \sqrt{24}}{2}\\\\\\.\quad =\dfrac{12\pm 2\sqrt{6}}{2}\\\\\\.\quad =6\pm \sqrt{6}$

Now, let's solve for x:

$xy=15\\\\x(6\pm\sqrt6)=15\\\\x=\dfrac{15}{6\pm\sqrt6}\\\\\\x=\dfrac{15}{6\pm\sqrt6}\bigg(\dfrac{6\pm\sqrt6}{6\pm\sqrt6}\bigg)=\dfrac{6\pm \sqrt6}{2}$

Lastly, find x² + y² :

$y^2=(6\pm \sqrt6)^2\quad \rightarrow \quad y^2=36\pm 12\sqrt6 +6\quad \rightarrow \quad y^2=42\pm 12\sqrt6$

$x^2=\bigg(\dfrac{6\pm \sqrt6}{2}\bigg)^2\quad \rightarrow \quad x^2=\dfrac{42\pm 12\sqrt6}{4}\quad \rightarrow \quad x^2=\dfrac{21\pm 6\sqrt6}{2}$

$x^2+y^2=\dfrac{21\pm 6\sqrt6}{2}+42\pm 12\sqrt6\\\\\\.\qquad \quad = \dfrac{21\pm 6\sqrt6}{2}+\dfrac{84\pm 24\sqrt6}{2}\\\\\\. \qquad \quad = \dfrac{105\pm 18\sqrt6}{2}$

5 0

3 years ago

What is the area, in square centimeters, of a circle that is 8 centimeters

Shalnov [3]

Answer: 8=201.06

4=50.27

Step-by-step explanation: What I mean by this is that if the radius (the distance from the center of the circle to the edge of the circle ) is 8 then the area of the circle is 201.06 and if the radius of the circle is 4 then the area of the circle is 50.27

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2 years ago

Need help on this please help

MrRissso [65]

262 is the answer :)

5 0

3 years ago

1. Which of the following represents a function?

trapecia [35]

1. 3rd one, because for each x there's only one y.

2. The domain are x's, so it's {2, 4, 6, 8}

3. The range are y's, so it's {1, 2, 3, 4}

4.
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5. $T(-4)=7-(-4)=7+4=11$

6. $f(x) = - |x| + 2$

7.
$C=kt\\
800=4k\\
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7 0

2 years ago

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