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Alisiya [41]
3 years ago
14

7/8 turned into a decimal. Show all the work.

Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0

The most obvious answer is to write this into a calculator and read the result, but if you're asking this, I'm assuming you're not allowed to.

This fraction can be easily calculated by hand in two ways: either you remember that

\dfrac{7}{8} = \dfrac{7}{2^3}

Which means that dividing by 8 is the same ad dividing by two three times:

7\div 2 = 3.5,\quad 3.5 \div 2 = 1.75,\quad 1.75 \div 2 = 0.875

Or you can think that 7/8 is 1/8 away from one. Just like before, you can compute 1/8 as

1\div 2 = 0.5,\quad 0.5 \div 2 = 0.25,\quad 0.25 \div 2 = 0.125

And so 7/8 is

\dfrac{7}{8} = 1-\dfrac{1}{8} = 1-0.125=0.875

drek231 [11]3 years ago
6 0
The answer is....0.875
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Homework Progress<br> 0<br> Find the nth term of the following sequence: 4 7 12 19 28
just olya [345]

<em>Answer:</em>

n²+3

<em>Explanation:</em>

The differences between the terms are not the same, so this is not "linear". Knowing that the sequence may have started with a 1, you can try subtracting the first number with a number to get 1, and use that number to subtract the rest.

4 - 3 = 1
7 - 3 = 4
12 - 3 = 9
19 - 3 = 16
28 - 3 = 25

In this case, subtracting 3 to all the numbers gave us perfect squares! So this means the nth term has to do with squaring the number and adding three afterward! This can be checked.

√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5

As we found the values of these terms by subtracting three first and then finding its square root, the nth term will be the opposite; squaring and then adding three! Again, this can be checked!

1² + 3 = 4
2² + 3 = 7
3² + 3 = 12
4² + 3 = 19
5² + 3 = 28

Hope this helps !! :D

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2 years ago
For last year's community picnic, Tammy needed 6 tomatoes to make 20 sandwiches. This year she expects she will need to make 40
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<span>40=20x2 so 6x2=12 
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What is an inherent zero? describe three examples of data sets that have inherent zeros and three that do not.
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The inherent zero is simply a zero. The three instances for both are-

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<h3>What is inherent zero?</h3>

The absolute zero is another name for the intrinsic zero. This is not included in the interval scale because, while the disparity between the two observations makes sense, the ratio does not because it lacks an inherent zero.

Some key features of inherent zero are-

  • In statistics, the inherent zero is regarded as the starting point or reference point for the ratio scale.
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To know more about the inherent zero, here

brainly.com/question/18558553

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6 0
2 years ago
Two containers, X and Y, are each filled by an ideal gas at the same temperature. The volume of Y is half the volume of X. The n
-Dominant- [34]

Answer:

The answer to the question is

The ratio of the two gas pressures   \frac{P_{x} }{P_{y} } , that is Px to Py = 1/6

Step-by-step explanation:

Let the gases Volumes be V₁ and V₂

Where volume of X = V₁ and

volume of Y = V₂

The volume of Y is half the volume of X

∴ V₂  =  \frac{1}{2} × V₁

Let the number of moles be n₁ and n₂ in X and Y respectively

therefore  n₂ = 3 × n₁

The pressure of the gas in X is Pₓ and the pressure of the gas in Y is  P_{y} then we have

P₁ × V₁  = n₁ × R × T₁ , and P₂ × V₂ = n₂ × R × T₂

(P₁ × V₁)/(n₁ × T₁) = (P₂ × V₂)/(n₂ × T₂)

but T₁ = T₂

Therefore

(P₁ × V₁)/n₁ = (P₂ × V₂)/n₂.  However  n₂ = 3 × n₁  and V₂  =  \frac{1}{2} × V₁ therefore substituting in the equation we have

(P₁ × V₁)/n₁ = (P₂ ×  \frac{1}{2} × V₁ )/(3 × n₁) from where

P₁ /P₂ =  (\frac{1}{2} × V₁ × n₁)/(V₁×3 × n₁) =0.5/3 = 1/6

The ratio of \frac{P_{x} }{P_{y} } = 1/6

6 0
4 years ago
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