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lina2011 [118]
3 years ago
7

Math pls help!! larger number? smaller number?

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

Answer:

larger number  = 35

smaller number = 26

Step-by-step explanation:

let larger number be x

and another ( x-9 )

so, x+x-9=61

2x = 70

x = 35

smaller number = 35 - 9

= 26

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What is the solution to the following system of equations? 3x-4y=35 and 3x+4y=5
natta225 [31]
3x - 4y = 35
3x + 4y = 5
------------------add
6x = 40
x = 40/6 which reduces to 20/3

3x - 4y = 35
3(20/3) - 4y = 35
20 - 4y = 35
-4y = 35 - 20
-4y = 15
y = -15/4

solution is (20/3, -15/4)
8 0
3 years ago
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The function g has an inverse. The function g − 1 determines the number of folds needed to give the folded paper a thickness of
Amanda [17]

Answer:

\mathbf{g^{-1} (t) = log _2  \ 20 \ t}

Step-by-step explanation:

Here is the full question

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times. We'll assume we can make "perfect folds," where each fold makes the folded paper exactly twice as thick as before - and we can make as many folds as we want.

Write a function g that determines the thickness of the folded paper (in mm) in terms of the number folds made, n. (Notice that g(0) 0.05,)

g(n )= (05)2^n

The function g has an inverse. The function g⁻¹ determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g⁻¹).

<u>SOLUTION:</u>

If we represent g(n) with  t;

Then

\mathbf{t = (0.05)2^n} \\ \\ \mathbf{\dfrac{t}{0.05} = 2^n} \\ \\ \mathbf{\dfrac {100 \ t }{ 5} = 2^n} \\  \\ \mathbf{20 t = 2^n}

Taking logarithm of both sides; we have :

\mathbf{log (20 t) = n log 2}    \ \ \    \mathbf{(since  \ ,  log  \ a^b = b \ log \ a) }  \\ \\ \mathbf{n =  \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) =  \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = log _2  \ 20 \ t}

4 0
4 years ago
The orchard need to fill an order for l56 apples using both large and small bags.What is the least number of each type of bag th
IgorLugansk [536]
You could use 16 large bags, and 2 small bags. Every large bag carries 9 apples. 9x16=144. That leaves 12 apples left. Small bags carry 6 apples. 6x2=12. I think this might be the right answer, hope this helps. 
7 0
4 years ago
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Veseljchak [2.6K]

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6 0
3 years ago
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Part-time weekly earnings ($) by college students.
alexira [117]

Answer:

There is a significant linear correlation between the two variables.

Step-by-step explanation:

Given that part time weekly earnings are

x y

 

10 93

15 171

20 204

20 156

35 261

 

 

 

Correlation 0.9199

H0: r=correlatin =0

Ha: r ≠0

(two tailed test)

r difference = 0.9199

t = r*\sqrt{(n-2)/(1-r^2)} \\=4.063

p value < 0.0001

Since p <0.05 we reject null hypothesis

There is a significant linear correlation between the two variables.

Download xlsx
5 0
3 years ago
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