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soldi70 [24.7K]
3 years ago
14

Which shows the expression below in simplified form?

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

B. 9x10^4

Step-by-step explanation:

\frac{4.5 \times  {10}^{8} }{5 \times  {10}^{3} }  \\  = 0.9 \times  {10}^{8 - 3}  \\  = 0.9 \times  {10}^{5}  \\  = 9 \times  {10}^{4}

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Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?
steposvetlana [31]

Answer:

Jane spend 4 hours in a day sleeping, and 28 hours in a week.

Step-by-step explanation:

In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.

In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28

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3 years ago
Tony separates a number of paintbrushes, x, into 3 equally sized groups. He claims that this is the same as making a group 1/3 t
DochEvi [55]

Answer:

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Step-by-step explanation:

Total number of paint brushes = x

Since each the three groups are equally sized, to get the number of paintbrushes in a group, we will have to divide the total number of paint brushes by 3

∴ We have, number of paint brushes in a group = \frac{Total number of paintbrushes}{3}\\

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this is also the same thing as saying \frac{1}{3}×\frac{x}{1}

This shows that the size of the new group is the same as \frac{1}{3} the size of the original group

4 0
3 years ago
Which ordered pair is a solution of the inequality y < 3x + 1
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Answer:

c

Step-by-step explanation:

1=x

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then you plug it in. put the -3 in for the y and the 1 in for the x then you have the equation:

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and solve it

-3<4+1

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3 0
2 years ago
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Answer:

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Step-by-step explanation:

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Let the total estate = 1

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= 6-5/6

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The fraction of the estate that goes to the American Cancer Society = 1/18

8 0
3 years ago
What is the value of x?<br><br> 6x=72<br><br> show how you got the answer
Sphinxa [80]

Answer:

x = 12

Step-by-step explanation:

5 0
3 years ago
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