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Fittoniya [83]
3 years ago
7

Simplify completely 25 w to the sixth power over 10 w to the third power divided by 30 w squared over 5 w.

Mathematics
2 answers:
asambeis [7]3 years ago
5 0

5w^2 over 12 is your answer. hope it helped!

malfutka [58]3 years ago
4 0
\cfrac{25w^6}{10w^3}:  \cfrac{30w^2}{5w}=  \cfrac{5w^3}{2}*  \cfrac{5w}{30w^2}= \cfrac{w}{2}*  \cfrac{5w}{6}= \cfrac{5w^2}{12}
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Trevon and Ming are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecake and apple cheesecake.
qwelly [4]

The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Step-by-step explanation:

Let,

Cost of one French silk cheesecake = x

Cost of one apple cheesecake = y

According to given statement;

8x+y=54     Eqn 1

3x+y=29     Eqn 2

Subtracting Eqn 2 from Eqn 1

(8x+y)-(3x+y)=54-29\\8x+y-3x-y=25\\5x=25

Dividing both sides by 5

\frac{5x}{5}=\frac{25}{5}\\x=5

Putting x=5 in Eqn 1

8(5)+y=54\\40+y=54\\y=54-40\\y=14

The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/10250188
  • brainly.com/question/10480770

#LearnwithBrainly

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4 0
3 years ago
Kim and Daniel are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of
ivanzaharov [21]

There are two equation:

1) From Kim

2) From Daniel


Let:

x be the cost of rolls of plain wrapping paper

y be the cost of rolls of shiny wrapping paper


Kim:

7x + 8y = 140

Daniel:

14x + 7y = 154


<u>Using elimination method:</u>

(7x + 8y = 140) * -2  (Multiplying the equation by -2)

-14x - 16y = -280


-14x  -16y = -280

14x + 7y = 154

------------------------------

0x - 9y = -126

9y = 126 (Negative sign cancels from both sides)

y = 126 /9

y = 14


The cost of each shiny wrapping paper is $14.


Now solve x, you pick any two equation to solve for x.

7x + 8y = 140

7x + 8(14) = 140 (You know from above y =14)

7x + 112 = 140

7x = 28

x = 28/7

x = 4


The cost of each plain wrapping paper is $4.


Solution: (4,14)

4 0
3 years ago
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