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Sati [7]
3 years ago
5

Leena walked 2/3 of a mile What is 2/3 written as a sum of unit fractions with the denominator of nine

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0
Bear in mind that multiplying anything, and anything whatsoever by 1, has a product of the anything itself.

so, let's multiply 2/3 by 1 then and check about,

\bf \cfrac{same}{same}=1\qquad thus\cfrac{2}{3}\cdot 1\implies \cfrac{2}{3}\cdot \cfrac{3}{3}\implies \cfrac{6}{9}
\\\\\\
\textit{now, we can split that and write it as a sum}\implies \cfrac{1+5}{9}\implies \cfrac{1}{9}+\cfrac{5}{9}
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Company has 189 employees that share an office that has 32 floors. If they built another building for 50 employees, how high sho
iris [78.8K]

Answer:

8 floors

Step-by-step explanation:

The number of employees is directly proportional to the number of floors that each building has.

The first building has 32 floors and it occupies 189 employees. Therefore:

189 α 32

=> 189 = k * 32 = 32k

where k = constant of proportionality

=> k = 189/32

The new building has 50 employees, therefore:

50 = kN

where N = number of floors

=> 50 = 189/32 * N

N = (50 * 32) / 189 ≅ 8 floors

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5 0
3 years ago
If y varies inversely with x and y=2 when x=5, what is the value of x when y=3?
Nostrana [21]

Answer:

Step-by-step explanation:

Method

Inversely in this sentence means

y = k/x    

So you first step is to find the value of k. You do that by setting up an inverse relationship with y = 2 , x = 5

2 = k/5                     Multiply both sides by 5

2*5 = 5*k/5

10 = k

Now you are able to answer the question.

  • k = 10
  • y = 3
  • x = ?

y = 10/x

3= 10/x                      Multiply both sides by x

3*x = x * 10/x

3x = 10                      Divide both sides by 3

3x/3 = 10/3

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Answer

x = 3.33 or x = 3  1/3

8 0
2 years ago
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Mashcka [7]

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These are the correct options.

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Let us assume that Nate works 'x' hours so 4<x<9

And multiplying the hours with his earnings we get the range.

4*12.40=49.6 and 9*12.40=111.6. Let the amount earned be represented by y

Hence, domain can be represented as 4<x<9 and range can be represented as  49.6 < y < 111.6

7 0
3 years ago
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Answer:

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