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kumpel [21]
4 years ago
10

6x+3(4x-2)=5(2x-8) the answer is -17/4 but can someone explain how to get that answer? plz help lol​

Mathematics
1 answer:
Sergeu [11.5K]4 years ago
7 0

Answer:

<h2>x =  -  \frac{17}{4}</h2>

Step-by-step explanation:

6x + 3(4x - 2) = 5(2x - 8)

Expand the terms in the bracket and simplify

That's

6x + 12x  - 6 = 10x - 40 \\ 18x - 6 = 10x - 40

Using the subtraction property subtract 10x from both sides of the equation

18x - 10x - 6 = 10x - 10x - 40 \\ 8x - 6 =  - 40

<u>Add 6 to both sides of the equation</u>

8x + 6 - 6 =  - 40 + 6 \\ 8x =  - 34

<u>Divide both sides by 8</u>

\frac{8x}{8}  =  -  \frac{34}{8}

<u>Reduce the fraction with 2</u>

We have the final answer as

x =  -  \frac{17}{4}

Hope this helps you

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Jenn is cutting a long piece of wire into short pieces to make earrings. She is cutting from a wire that is 25 1/2 inches long.
irakobra [83]

Answer:

<h2>34 earrings</h2>

Step-by-step explanation:

Step one:

given that the total lenght of the wire is 25 1/2 inches

in decimal, this is 25.5 inches

we are told that each earring requires 3/4 in of wire

in decimal this 0.75 in

Step two:

<em>The number of earrings that can be mad is found by dividing the total length of wire by the length needed to make one earring</em>

The number of earrings that can be made is given as

=25.5/0.75

=34 earrings

3 0
3 years ago
Let the given rhombus be abcd in which ab = bc = cd = da = 20 cm and
natka813 [3]

Answer:

<u>384 cm²</u>

Step-by-step explanation:

Property of rhombus :

  • Diagonals of rhombus bisect each other and are perpendicular to each other

Given :

  1. Rhombus ABCD and its diagonals AC and BD bisect each other at O
  2. AC ⊥ BD
  3. AB = BC = CD = DA = 20 cm
  4. AC = 24 cm

Solving :

Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.

  • 2 × 1/2 × OB × AC
  • 24 × OB
  • 24 × √AB² - AO²
  • 24 × √20² - (AC/2)²
  • 24 × √400 - 144
  • 24 × √256
  • 24 × 16
  • <u>384 cm²</u>

6 0
2 years ago
Find the value of x.<br> 101 x +29
iVinArrow [24]

Answer:

x = 50

Step-by-step explanation:

101 + (x + 29) = 180

130 + x = 180

x = 180 - 130

x = 50

4 0
3 years ago
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A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati
lilavasa [31]

Answer:

<em>The minimum average cost is $2.80 when 163 players are built</em>

Step-by-step explanation:

<u>Average Cost Function</u>

<em>We'll assume the given function as the total cost to produce x players, and NOT the average cost since that is a different definition, as shown below.</em>

The cost C to produce x DVD/Blu- ray players is given by the equation

C=0.03x^2-7x+800

The Average Cost function  is defined as

\displaystyle\bar  C=\frac{C}{x}

\displaystyle\bar  C=\frac{0.03x^2-7x+800}{x}

\displaystyle\bar  C=0.03x-7+\frac{800}{x}

To find the extreme value of the average cost, we must take the first derivative of the function

\displaystyle\bar  C'=0.03-\frac{800}{x^2}

Equating to 0

\displaystyle 0.03-\frac{800}{x^2}=0

Solving for x

\displaystyle x=\sqrt{\frac{800}{0.03}}

x=163

The second derivative is

\displaystyle\bar  C''=\frac{1600}{x^3}

For x=163 the second derivative is positive, thus x=163 is a minimum value. Let's compute the minimum average cost

\displaystyle\bar  C(163)=0.03\cdot 163-7+\frac{800}{163}

\displaystyle\bar  C(163)=2.80

The minimum average cost is $2.80

5 0
3 years ago
Robert owns three-eighths of a florist shop worth $76,000. What is the value of Robert’s share of the business?
vladimir2022 [97]

Answer:

It should be $28500

Step-by-step explanation:

76000 x 3/8 = 28500

value of shop:76000

robert owns:3/8

4 0
3 years ago
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