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-BARSIC- [3]
2 years ago
10

Show how to solve the equation in the picture

Mathematics
1 answer:
MArishka [77]2 years ago
3 0

\left(3\cdot8\cdot x\right)^7\\\\\left(3\cdot2\cdot4\cdot x\right)^7\\\\\left((3\cdot2)\cdot4\cdot x\right)^7\\\\\left(6\cdot4\cdot x\right)^7\\\\6^7\cdot4^7\cdot x^7\\\\

In the second step, I rewrote 8 as 2*4. Then after that I regrouped terms so that the (3*2) can pair up together. This of course turns into 6. After that point, we have 6, 4 and x multiplied together as the base.

The last step uses the rule that (a*b*c)^d = a^d*b^d*c^d, in other words, we apply the exponent d to each term inside the parenthesis. Each term inside gets its own exponent.

An example: (2*4*6)^3 = 2^3*4^3*6^3

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How many times greater is the value of 3 in 300 than the value of the 3 in 30
Vikki [24]
Well it sounds like you mean smaller, not greater. 3/300 = 1/100 while 3/30 = 1/10. So 3 out of 300 is 10 times SMALLER than 3 out of 30. 

3 0
3 years ago
Read 2 more answers
Point K is on line JL. given JL =4x, JK= 2x+3, and KL=x, determine the numerical length of kl​
balandron [24]

Hi! I'm happy to help!

Our total line is JL (4x), and it is split into two parts: JK, and KL. We have our values, and we know that JK+KL=JL, so we can substitute our values and solve for x:

4x=(2x+3)+(x)

4x=3x+3

To solve for x, we have to isolate it on one side of the equation.

First, let's subtract 3x from both sides so that we can isolate x:

4x=3x+3

-3x -3x

x=3

<u>So, our x=3, which means that KL=3.</u>

I hope this was helpful, keep learning! :D

5 0
3 years ago
. Caroline had 400 stamps in her collection. 1 10 th of them were Indian stamps, Onethird of the remaining stamps were from Euro
Ganezh [65]

Answer:

So 400 stamps

African---> 100

Indian------> 1/10 x 400

= 40

European---> 400-40=360

1/3 x 360

= 120

so 120+40+100= 260

400-260

= 140 stams from US

6 0
3 years ago
Consider the triangles shown.
Sergeu [11.5K]
D because it’s congruent
7 0
2 years ago
The gross income of Ginger Hughes is $215 per week. Her deductions are: $15.16, FICA tax; $29.33, income tax; 2% state tax; 1% c
Anika [276]
215 - 44.49  (I added the two deductions mentally) = 170.51

I see the percentages 2%, 1% and 3% add up to 6%
So we want 6% of 215 or .06 x 215 = $12.90

$170.51 - 12.90 = $157.61 net income.
6 0
3 years ago
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