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3 years ago

Solve for x. 3/x+9=7/x+4

Mathematics

1 answer:

Snezhnost [94]3 years ago

7 0

Answer:

x = 4/5

Step-by-step explanation:

Subtract 3/x+4, then multiply by x/5:

$\dfrac{3}{x}+9=\dfrac{7}{x}+4\\\\5=\dfrac{4}{x}\\\\\boxed{x=\dfrac{4}{5}}$

_____

If you meant 3/(x+9) = 7/(x+4), you need to write it with parentheses around the denominator. (In that case, x=-12.75.)

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Which equations are equivalent to ? Check all that apply. X 4 = 64 60 = x.

hram777 [196]

You can use the fact that equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.

The equivalent equation to $x + 4 = 64$ is $x = 60$

<h3>What are equivalent equations?</h3>

Equivalent equations are such that one equation can be obtained by performing some operations(which doesn't break equality) on the other equation and vice versa.

<h3>How to get the equivalent equation of the given equation?</h3>

The given equation is

$x + 4 = 64$

Subtracting 4 from both sides, we get

$x + 4 - 4 = 64 - 4\\x = 60$

Thus, one equivalent equation to the given equation is $x = 60$

The equivalent equation to $x + 4 = 64$ is $x = 60$

Learn more cases of equivalent equations here:

brainly.com/question/14332869

5 0

3 years ago

What is the equation of the line that is parallel to the given

frez [133]

Answer:

Step-by-step explanation:

We need to find the equation of the line parallel to the given line. To do this, we first need to understand what parallel lines are.

Rule 1: Parallel lines are two lines that never cross.

Let's solve!

To solve, we need to know what the slope of the line should be as we are already given the point it should pass through. to do this, we need to use a rule.

Rule 2: The slopes of parallel lines are always the same.

Slope = change y / change x

-4 - -3 (-4 + 3) = -1

-5 - 0 = -5

Slope = 1/5

Now, we can construct our equation

y = mx + b

y = 1/5x + 4

Since none of the answers are this, I assume you meant perpendicular instead. In that case, the answer would be, since the slope would be an opposite inverse of the original line, -5x + 4.

I'm always happy to help :)

7 0

4 years ago

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0

3 years ago

Use a property of equality to solve this equation:<br><br> 4.5x = 18<br><br> x =

liberstina [14]

Answer:

Step-by-step explanation:

x= 18÷4.5=4

hope it helps

4 0

3 years ago

Read 2 more answers

Compare the number of friends at the beginning of a month and at the end of that month if it decreased by 60 and increased by 80

inn [45]

Answer:

plus 20 or positive

Step-by-step explanation:

-60+80= 20

positive

3 0

3 years ago