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fenix001 [56]
3 years ago
6

Please help me find x in the proportion: 4/x=5/9.

Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0
First multiply 4 so x is on its own.

5/9 multiplied by 4/1 is 20/9.

20/9 simplifies to 2 and 2/9.

x = 2 and 2/9

Hope this helped, and please mark brainliest! :)
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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
3 years ago
Which system of equations below can be used to solve the following problem?
sergij07 [2.7K]

Answer:

C.

Step-by-step explanation:

1. Find the area part of the equation.

Area is base×height, so if we substitute 8 as the base and w as the height, <em>A=8w</em>

2. Find the perimeter of the equation.

Perimeter of a rectangle is 2(base + height), so in this case, it will be

<em>P=2(8 + w),</em> or C.

7 0
3 years ago
Through: (-3,-5), parallel to y = 2x + 2​
Archy [21]

Answer:

y = 2x + 1

Step-by-step explanation:

Since you have an equation and a point, all you need to do is substitute the coordinates into the equation and then solve for the y-intercept (or "b"):

y = mx + b

y = 2x + 2

(-3, -5)

-5 = 2(-3) + b

-5 = -6 + b

-5 + 6 = b

b = 1

Now you have your final equation:

y = 2x + 1

*Remember that parallel lines have the same slope, so finding a new slope is not needed!

4 0
2 years ago
HELP!!!!! PLEASE!!!!!!! DUE IN LESS THEN 20 MIN!!!!!!!!!!!!<br> BRAINLIEST!!
SOVA2 [1]

Answer:

— If there are 16 seats in the first row, 18 seats in the second row, 20 seats in the third row , and so on, how many seats are there in all? Follow • 1 ... This is an arithmetic series with a difference of 2. a1 = 16 ... what is an equation equal of a line parallel to y=2/3x-4 and goes through the point (6,7). Answers · 3 ...

Step-by-step explanation:

3 0
3 years ago
on day in the fall, mark raked the leaves on 5 peoples lawns in 2.5 hours. one day in the summer, he mowed 6 peoples lawns in 1.
GuDViN [60]
<h2><u><em>Ans</em></u>wer: </h2>

Assuming he works at a constant rate, the daily rate Mark rakes lawns in the fall is 40% of the daily rate he mows lawns in the summer.

<h2><u><em>Step-by-step explanation: </em></u></h2>

Fall:

5 neighbors' lawns / 2.5 hours = 2 lawns per hour

Summer:

6 neighbours' lawns / 1.2 hours = 5 lawns per hour

2 x 100% / 5 = 40%

2 is 40% of 5

8 0
3 years ago
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