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vivado [14]
3 years ago
9

6/54-x = 5/x x=____​

Mathematics
1 answer:
amm18123 years ago
5 0

Answer:

<u>x=−44/9</u>

Step-by-step explanation:

6/54−x=5/xx

Simplifies to:

−x+1/9=5

Let's solve your equation step-by-step.

−x+1/9=5

Step 1: Subtract 1/9 from both sides.

−x+1/9−1/9=5−1/9

−x=44/9

Step 2: Divide both sides by -1.

−x/−1=44/9/−1

x=−44/9

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alis dog weighs 8 times as much as her cat. together, the two pets weigh 54 pynds. how much does Alis dog weigh?
VashaNatasha [74]

The weight of the Alis dog is \fbox{\bf48} pounds.

Further explanation:

Consider the weight of the Alis dog as x pounds and weight of the cat as y pounds.

Since, the weight of the Alis dog is 8 times the weight of the cat. It can be written as follows:

x=8y                                                                     ......(1)

Now, the total weight of the cat and dog are given as 54 pounds. It can be written as follows:

x+y=54                                                                 ......(2)

From equation (1), substitute 8y for x in equation (2).

\begin{aligned}8y+y&=54\\9y&=54\\y&=\dfrac{54}{9}\\y&=6\end{aligned}

Thus, the weight of the cat is 6 pounds.

Substitute 6 for y in equation (1) to obtain the weight of Alis dog as follows:

\begin{aligned}x&=8(6)\\&=48\end{aligned}

Thus, the weight of the Alis dog is 48 pounds.

Learn more:  

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}  

brainly.com/question/1632445  

2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12  

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3. What are the domain and range of the function f(x) = 3x + 5?  

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Answer Details :

Grade: Middle School .

Subject: Mathematics .

Chapter: linear equation.

Keywords:

lines, equation, pound, Alis dog, cat, weight, linear equation, zeros, x,y,x=8y,x+y=54, function, substitution, pets, direct substitution, elimination, graph, middle term factorization, fraction.

5 0
3 years ago
A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.
drek231 [11]
The complete question in the attached figure

let
x-------> <span>the width of the patio

we know that
area of the pool=40*60-----> 2400 ft</span>²

area of the patio=[(40+2x)*(60+2x)]-2400
area of the patio=2400 ft²
so
[(40+2x)*(60+2x)]-2400=2400
2400+80x+120x+4x²-4800=0
4x²+200x-2400=0------> divide by 4 both sides----> x²+50x-600=0

therefore
the answer is
x²+50x-600=0

3 0
3 years ago
Read 2 more answers
Help me!!
zavuch27 [327]

The answer to this question is 5 days

7 0
3 years ago
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Need help quick! What is the sum of the following:<img src="https://tex.z-dn.net/?f=15x%20%28times%29%2020x" id="TexFormula1" ti
Fantom [35]

Answer:

300x

Step-by-step explanation:

alll you have to do is multipy 15 and 20 and you will get 300

after that just add the x to the end

6 0
3 years ago
Jordan spent 22% of his time doing math homework. If hw spent 11 minutes on his math homework. How many minutes did he spend on
devlian [24]

Answer:

The total minutes he spend on his homework are 50 minutes.

Step-by-step explanation:

<em>It is given that Jordan spent 22% of his time for homework on maths.</em>

<em>It is also given that he spent 11 minutes of time on maths homework.</em>

The above two statements are equal.

Let the total time for homework be "x".

Thus, the equation can be written as,

(\frac{22}{100})(x) = 11

x = (\frac{100}{22})(11) = 50 minutes

Thus the total minutes he spend on his homework are 50 minutes.

3 0
3 years ago
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