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3 years ago

34 is added to x, the result is 98 . What is the value of x? Enter your answer in the box as a fraction in simplest form

Mathematics

2 answers:

fenix001 [56]3 years ago

6 0

Answer: The required value of x is $\dfrac{64}{1}.$

Step-by-step explanation: Given that when 34 is added to x, the result is 98.

We are to find the value of x in fraction.

According to the given information, the equation can be written as :

$x+34=98~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of x, we must tale 34 on the right-hand side of the equation.

From equation (i), we get

$x+34=98\\\\\Rightarrow x=98-34\\\\\Rightarrow x=64\\\\\Rightarrow x=\dfrac{64}{1}.$

Thus, the required value of x is $\dfrac{64}{1}.$

KonstantinChe [14]3 years ago

4 0

Not sure why it needs to be a fraction, if I am missing something please tell me. 64 or 64/1

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(-3/2)x - 9 = - 27 solve for x

aleksklad [387]

Answer:

x = 12

Step-by-step explanation:

Solve for x:

(-3 x)/2 - 9 = -27

Put each term in (-3 x)/2 - 9 over the common denominator 2: (-3 x)/2 - 9 = (-18)/2 - (3 x)/2:

(-18)/2 - (3 x)/2 = -27

(-18)/2 - (3 x)/2 = (-3 x - 18)/2:

(-3 x - 18)/2 = -27

Multiply both sides of (-3 x - 18)/2 = -27 by 2:

(2 (-3 x - 18))/2 = -27×2

(2 (-3 x - 18))/2 = 2/2×(-3 x - 18) = -3 x - 18:

-3 x - 18 = -27×2

2 (-27) = -54:

-3 x - 18 = -54

Add 18 to both sides:

(18 - 18) - 3 x = 18 - 54

18 - 18 = 0:

-3 x = 18 - 54

18 - 54 = -36:

-3 x = -36

Divide both sides of -3 x = -36 by -3:

(-3 x)/(-3) = (-36)/(-3)

(-3)/(-3) = 1:

x = (-36)/(-3)

The gcd of -36 and -3 is -3, so (-36)/(-3) = (-3×12)/(-3×1) = (-3)/(-3)×12 = 12:

Answer: x = 12

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3 years ago

It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the functio

katrin2010 [14]

Answer:

$y=\frac{24}{x}$

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.

We know that two inversely proportional quantities are in form $y=\frac{k}{x}$ , where y is inversely proportional to x and k is constant of variation.

Upon substituting $y=12$ and $x=2$ in above equation, we will get:

$12=\frac{k}{2}$

Let us solve for constant of variation.

$12\cdot 2=\frac{k}{2}\cdot 2$

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Now, we will substitute $k=12$ in inversely proportion equation as:

$y=\frac{24}{x}$

Therefore, the formula for the given scenario would be $y=\frac{24}{x}$ .

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USPshnik [31]

Answer:

Step-by-step explanation:

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