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2 years ago

Solve 5/3x + 1/3x = 13 1/3 + 8/3x then identify x.

Mathematics

1 answer:

belka [17]2 years ago

3 0

After solving $\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x$ we get value of x = -20

Step-by-step explanation:

We need to solve the fractions and find value of x.

The given fraction is:

$\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x$

Solving:

$\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x\\\frac{5}{3}x+\frac{1}{3}x=\frac{40}{3}+\frac{8}{3}x\\ Subtract\,\,\frac{8}{3}x\,\,on\,\,both\,\,sides:\\ \frac{5}{3}x+\frac{1}{3}x-\frac{8}{3}x=\frac{40}{3}+\frac{8}{3}x-\frac{8}{3}x\\Simplifying:\\ \frac{5x+1x-8x}{3}=\frac{40}{3}\\ \frac{-2x}{3}=\frac{40}{3}\\Multiply\,\,both\,\,sides\,\,by\,\,3\\-2x=40\\x=\frac{40}{-2}\\x=-20$

So, After solving $\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x$ we get value of x = -20

Keywords: Solving fractions

Learn more about Solving fractions at:

#learnwithBrainly

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sesenic [268]

At the time the rocket hits the ground h=0, given that h=-16t²+320t+32
when h=0, our equation will be:
-16t²+320t+32=0
solving the above by completing square method we proceed as follows;
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but
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t-10=√102
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2 years ago

Calculate the value of x to one decimal place. inches

kakasveta [241]

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substitute:

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2 years ago

Each vertical cross-section of the triangular prism shown below is an isosceles triangle.

vova2212 [387]

Answer:

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Step-by-step explanation:

4.24 x 4.24 x 6

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a^2 + 3^2 = 4.24^2

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We cross out b to subtract.

a^2 = 17.98 - 9

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2 years ago

What are the real zeros of the function g(x) = x^3 + 2x^2 − x − 2?

PSYCHO15rus [73]

If there are real roots to be found for this polynomial, the Rational Root Theorem and synthetic division are the best way to find them. I teach from a book that uses c and d for the possible roots of the polynomial. C is our constant, 2, and d is the leading coefficient, 1. The factors of 2 are +/- 1 and +/-2. The factors for 1 are +/-1 only. Meaning, in all, there are 4 possibilities as roots for this polynomial. But there are only 3 total (because our polynomial is a third degree), so we have to find the first one, at least, from our possibilities above. Let's try x = -1, factor form (x + 1). If there is no remainder when we do the synthetic division, then -1 is a root. Put -1 outside the "box" and the coefficients from the polynomial inside: -1 (1 2 -1 -2). Bring down the first coefficient of 1 and multiply it by the -1 outside to get -1. Put that -1 up under the 2 and add to get 1. Multiply 1 times the -1 to get -1 and put that -1 up under the -1 and add to get -2. -1 times -2 is 2, and -2 + 2 = 0. So we have our first root of (x+1). The numbers we get when we do the addition along the way are the coefficients of our new polynomial, the depressed polynomial (NOT a sad one cuz it hates math, but a new polynomial that is one degree less than that of which we started!). The new polynomial is $x^{2} +x-2=0$ . That can also be factored to find the remaining 2 roots. Use standard factoring to find that the other 2 solutions are (x+2) and (x-1). Our solutions then are x = -2, -1, 1, choice B from above.

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2 years ago

Read 2 more answers

A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at

Alex17521 [72]

Answer:

<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>

Step-by-step explanation:

Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

A sample size is 100 taken at random from the given population.

<h3>To find the standard error of the sample mean :</h3>

From the given Mean=40 and $\sigma =15$