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jeka57 [31]
2 years ago
8

6. Which expressions are equivalent to 9x?

Mathematics
1 answer:
Umnica [9.8K]2 years ago
6 0

Answer:

A. & D.

Step-by-step explanation:

A. 8x + x = 9x

B. 9x + x = 10x

C. 10 - x = 10 - x (not like terms)

D. 5x + x + 3x = 9x

E. 7x + x + 2x = 10x

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5.2 more than the product of seven and a number
vlabodo [156]
It would be 12.2 because 7+5.2 is 12.2
7 0
3 years ago
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Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1​]​
Alekssandra [29.7K]

\green{\large\underline{\sf{Solution-}}}

<u>Given expression is </u>

\rm :\longmapsto\:\dfrac{5 \times  {25}^{n + 1}  - 25 \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {25}^{n + 1} }

can be rewritten as

\rm \:  =  \: \dfrac{5 \times  { {(5}^{2} )}^{n + 1}  -  {5}^{2}  \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {( {5}^{2} )}^{n + 1} }

We know,

\purple{\rm :\longmapsto\:\boxed{\tt{  {( {x}^{m} )}^{n}  \: = \:   {x}^{mn}}}} \\

And

\purple{\rm :\longmapsto\:\boxed{\tt{ \:  \:   {x}^{m} \times  {x}^{n} =  {x}^{m + n} \: }}} \\

So, using this identity, we

\rm \:  =  \: \dfrac{5 \times  {5}^{2n + 2}  - {5}^{2n + 2} }{{5}^{2n + 3 + 1}  -  {5}^{2n + 2} }

\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1}  - {5}^{2n + 2} }{{5}^{2n + 4}  -  {5}^{2n + 2} }

can be further rewritten as

\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1}  - {5}^{2n + 2} }{{5}^{2n + 2 + 2}  -  {5}^{2n + 2} }

\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2}  - 1)}

\rm \:  =  \: \dfrac{4}{25 - 1}

\rm \:  =  \: \dfrac{4}{24}

\rm \:  =  \: \dfrac{1}{6}

<u>Hence, </u>

\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times  {25}^{n + 1}  - 25 \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {25}^{n + 1} }  =  \frac{1}{6} }}

4 0
2 years ago
What is the value of
vladimir1956 [14]
The answer is x = -19

Solution:

9(x + 1) = -162

Expand:

9x + 9 = -162
9x = -162 - 9
9x = -171
x = -171/9
x = -19
6 0
2 years ago
URGENT PLEASE HELP. IXL IS TOUGH
guajiro [1.7K]

Answer:

so first get your calc out and type in the formula once you do that but 16 times 7 and equal it than divide it and tell me what you get

Step-by-step explanation:

3 0
2 years ago
100 is what percent of 250?
alisha [4.7K]

Answer:

100 is 40% of 250

Step-by-step explanation:

1. We assume, that the number 250 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 250, so we can write it down as 100%=250.  

4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.  

5. Now we have two simple equations:

1) 100%=250

2) x%=100

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=250/100

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100 is what percent of 250

100%/x%=250/100

(100/x)*x=(250/100)*x       - we multiply both sides of the equation by x

100=2.5*x       - we divide both sides of the equation by (2.5) to get x

100/2.5=x  

40=x  

x=40

now we have:  

100 is 40% of 250

6 0
3 years ago
Read 2 more answers
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