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Gre4nikov [31]
3 years ago
7

What is the simplified form of 3 over x squared all over 1 over x-cubed ?

Mathematics
2 answers:
Ainat [17]3 years ago
8 0
5 I think I am a 5 th
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

The answer is 3x....

Step-by-step explanation:

Lets re-write the given expression:

3/x² ÷ 1/x³

Now we know that the division will be changed into multiplication and the denominator of the second term will become numerator.

3/x² * x³/1

Now the expression becomes:

3x³/x²

According to the laws of exponents when you divide variables, just find the difference of their exponents. Therefore,

3x³/x²  = 3x³-²  = 3x

Thus the answer is 3x....

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an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time
Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can  fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is =\frac{1}{x}

The rate of filling of inlet pipe is =\frac{1}{x-1}

The rate of filling of both pipes is = \frac 1{10}

According to the problem,

\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}

\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}                              [ simplifying the fraction]

\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}                            

\Rightarrow 10(2x-1)= x^2-x                [ Multiplying 10(x²-x) both sides]

\Rightarrow x^2-x= 20x-10

\Rightarrow x^2-x-20x+10=0             [ simplifying ]

\Rightarrow x^2-21x+10=0

\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}       [ applying quadratic formula]

\Rightarrow x=\frac{21\pm21.93}{2.1}

⇒ x= 21.465,  -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0
3 years ago
1. It costs $5820 to get new windows for a certain house. Each of the 28 windows costs the same amount.
CaHeK987 [17]
1.A to find the answer, round $5820 to $6000. Then round $28 to $30. Each curtain would cost an estimate of $200.
1.B 5820/28=<span>207.857142857

</span>
4 0
3 years ago
Tell whether a triangle can have sides with lengths 6, 10, and 14. ​
erik [133]
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since 3in, 4in, and 8in. Since 6+14 > 10,6+ 10 > 14, and 10 + 14 > 6, you can form a triangle with the lengths 6m, 14m, and 10m.
8 0
2 years ago
Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years
o-na [289]
The answer to this would be 25.

Explanation:If Todd is three years older than jack you will have to subtract the three from that 28 to get your answer.
4 0
3 years ago
Read 2 more answers
How to solve -x+4=-2x-6
Feliz [49]
Regroup terms

Add 2x to both sides 

Simplify 4 - x + 2x to 4 + x

subtract 4 from both sides

subtract -6 - 4.

Answer: x = -10
3 0
3 years ago
Read 2 more answers
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