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liq [111]
2 years ago
5

Solve for homework :)

Mathematics
2 answers:
katrin2010 [14]2 years ago
6 0

Answer:

1) \frac{ {a}^{8} }{ {a}^{6} }  \\  = {a}^{8}  \times  {a}^{ - 6}  =  {a}^{2}  \\ 2) {m}^{2}  {m}^{ - 4}  =  {m}^{ - 2}  \\ thank \: you

Alex73 [517]2 years ago
3 0

Answer:

8. a^2

9. 1/m^2

Step-by-step explanation

8. Subtract the powers

9. Subtract the powers (2-4) and get m^-2, which is 1/m^2

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Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th
Korvikt [17]
Robbie bought the smallest amount. Let's use x for that amount.
Let's use n for amount that each following customer increases.

We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n

We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
x + 2n = 12

We are also given this information:
(Robbie + Cameron) = 3/7 * (Louis + Tom + Charlie)
We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n) 
2x + n = 3/7 * (3x + 9n) /*7
14x + 7n = 3* (3x + 9n)
14x +7n = 9x + 27n
We take everything on the left side.
14x + 7n - 9x - 27n = 0
5x - 20n = 0/:5
x - 4n = 0

Now we have two equations:
x + 2n = 12
x - 4n = 0
We solve second one for x and insert it into first one.
x + 2n = 12
x = 4n

4n + 2n =12
6n = 12 /:6
n = 2
x=4*2
x=8


Now we can solve for the amount for each customer.
Robbie=x = 8
Cameron=x+n = 8 + 2 = 10
Louis=x+n+n = 8 + 2 + 2 = 12
Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16
7 0
2 years ago
Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5 meters
mojhsa [17]

Answer:

1. L= A/W

2. 4m

Step-by-step explanation:

We can define this problem as a word problem relating to mensuration of flat shapes, a

rectangle

1. Let the length be L and the width be W

Given

Area A= 6m²

W= 1.5m

We know that the area of a rectangular shape is

Area = L x W

The expression for the length is

L= A/W

2. The solution for the length is

6=1.5L

L= 6/1.5= 4m

8 0
3 years ago
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How can you use the Pythagorean theorem to solve problems
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The photo below shows -

7 0
3 years ago
the waverly brush company issued 4,000 sharesof common sotck worth $200,000.00 total. what is the par value of each share?
erica [24]
<span>The par value of each share is $50. x = 200,000/4,000 x = 50

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6 0
3 years ago
Percents and numbers​
n200080 [17]

Answer:

16

Step-by-step explanation:

4 0
2 years ago
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