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2 years ago

- x - x + 11 - 2x = 83please show step by step!!

Mathematics

2 answers:

m_a_m_a [10]2 years ago

7 0

Answer:

$x=-18$

Step-by-step explanation:

<u>Given</u>

<u /> $-x-x+11-2x=83$

<u>Step 1: Combine Like Terms on LHS</u>

<u /> $-x-x+11-2x=83\\-2x+11-2x=83\\-4x+11=83$

<u>Step 2: Subtract 11 on both sides</u>

<u /> $-4x+11=83\\-4x+11-11=83-11\\-4x=72$

<u>Step 3: Divide both sides by -4 to isolate the x-variable</u>

<u /> $-4x=72\\\\\frac{-4x}{-4}=\frac{72}{-4}\\ \\ x=-18$

<u>Final Answer</u>

<u /> $x=-18$

Sedbober [7]2 years ago

3 0

Answer: x = -18

Step-by-step explanation: The first step can be changed but I decided to subtract 11 on both sides so that the x’s are found on one aside and the numbers are found on the other. Then in the second step, I combined like terms, the x’s. Then I divided both sides by -4 to cancel out the -4 next to the x and 72/(-4) is -18.

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Hey guys! I would be thankful if anyone could help me answer this question.

ExtremeBDS [4]

In order to not get confused, start by converting cm to m
h=20 cm = 0.2m and r=5cm = 0.05m

The cans are cylinders and we only need the rectangular shape, which is equal to the height x the circumference of the circle (2r(pi)), which you'll have to multiply by 200,000 for the number of cans necessary

your equation is therefore:
A=200,000h(2pi(r))
A=200,000(0.2)(2)(0.05)(pi)
A=4000pi m^2

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3 years ago

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where you imagined depositing $500 into a savings account that had an annual interest rate of 5%. Calculate how much you would e

romanna [79]

Answer:

Step-by-step explanation:

Column 1:

500 x 5% = 250

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3 years ago

the Royal fruit company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is a 45%

AlexFokin [52]

We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.

Now we have to make 30 pints of a mixture that is 35% pure.

Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.

So, $x+y=30$ (Equation 1)

Since, 20% of x + 45% of y = 35.3% of 30

$\frac{x}{5}+\frac{9y}{20}=10.5$ (Equation 2)

Solving equations 1 and 2,

we get y=18 and x=12.

So, 12 pints of first type of juice and 18 pints of second type of juice are used.

6 0

3 years ago

12g+6=78 thats what i need help with

Mrrafil [7]

I assume you need to solve for g?
12g + 6 = 78
- 6
12g = 72
÷ 12
g = 6
I hope this helps! Let me know if you want me to explain anything :)

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3 years ago

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<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%

Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

#SPJ1

5 0

1 year ago

- x - x + 11 - 2x = 83please show step by step!!​

- x - x + 11 - 2x = 83please show step by step!!