4x+17/18-13x-2/17x-32+X/3= 7x/12-x+16/36
Answers
Answer:To solve the equation 4x + 17/18 - 13x - 2/17x - 32 + x/3 = 7x/12 - x + 16/36, we can follow these steps:
1. Combine like terms on each side of the equation.
On the left side, we have 4x - 13x + x/3. Simplifying this, we get -8x + x/3.
On the right side, we have 7x/12 - x + 16/36. Simplifying this, we get -5x/12 - x + 4/9.
2. Get rid of any fractions by multiplying each term by the least common denominator (LCD).
The LCD of 3, 12, and 36 is 36. Multiply each term on both sides of the equation by 36 to eliminate the fractions.
3. Simplify and combine like terms.
On the left side, we have -8x + x/3, which becomes -24x + x^2/3 after multiplying by 36.
On the right side, we have -5x/12 - x + 4/9, which becomes -15x - 3x + 16 after multiplying by 36.
4. Move all terms to one side of the equation.
Combining like terms, we get -24x + x^2/3 = -18x + 16.
5. Multiply the entire equation by 3 to eliminate the fraction.
This gives us -72x + x^2 = -54x + 48.
6. Move all terms to one side of the equation again.
Combining like terms, we get x^2 + 18x - 48 = 0.
At this point, the equation is a quadratic equation. To solve it, we can either factor or use the quadratic formula.
Related Questions
French-language publishing sales in Canada increased at a rate of 1.05 per year from 2010 to 2014. There were sales of $300 000 in 2010. The formula S = 300 000(1.05)" models the sales, S, after n years. Assume that the growth rate stays constant. What would be the projected sales for 2024?
What fraction of a pound is forty pence?
Select all of the following points that lie on the graph of f(x) = 7 - 3x.(-2, 1) (-1, 10) (0, 7) (1, 5) (2, 1)
One fourth of a number is 1 more than one fifth of the same number
B) 50%
C) 60%
D) 25%
Answers
Since there are four options and only one can be correct, the chance of randomly selecting the correct answer is 1 out of 4, which is 25%.
So, the correct answer is:
A) 25%
If we assume that the answer choices are mutually exclusive and that one of the choices must be correct, then the probability of randomly selecting the correct answer is simply the inverse of the total number of choices.
In this case, there are four answer choices (A, B, C, and D).
Therefore, the chance of randomly selecting the correct answer is 1 out of 4, which can be expressed as 1/4 or 25%.
It's worth noting that this is a classic "trick" question since two of the answer choices are the same (both A and D are 25%).
In a properly constructed multiple-choice question, each answer choice should be distinct and non-repetitive.
So, the correct answer is A) 25%.
Learn more about probability click;
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There are 4 answers.
This adds up to a 100% chance that you will choose an answer.
Now, we must divide this 100% by 4.
100% / 4 = 25%
This means that:
The odds of you choosing an incorrect answer (3 of them are incorrect) is 75%.
The odds of you choosing a correct answer (one of them is correct) is 25%.
Therefore, your answer is 25%
The answer is D.
(If you had guessed randomly, there would have been a 25% of you choosing D.)
I hope I helped!
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~ Zoe
Answers
(√x+5)^2 = x+45
x+25+10√x = x+45
25+10√x = 45
10√x = 20
√x=2
x=4
b12
a8b15
the quantity a to the 8th power over b to the 12th power
Answers
(a²)^4 ⇒ 2 x 4 = 8 = a^8
(b³)^4 ⇒ 3 x 4 = 12 = b^12
(a²/b³)^4 = a^8 / b^12
the quantity a to the 8th power over b to the 12th power
the answer to this problem is the last one (D)
Answers
We suppose y ≠5
17 f(-2)=
f(-2) =
Answers
Answer: -4
Work Shown:
f(x) = 3x + 2
f(-2) = 3(-2) + 2 ... each x replaced with -2
f(-2) = -6 + 2
f(-2) = -4
Answers
x-coordinate:
X = (16 + 28)/2
X = 22
y-coordinate:
Y = (5 + -13)/2
Y = -4
Therefore, the midpoint has the coordinates M (22 , -4)