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slega [8]
3 years ago
7

Penelope and John are workers in a factory making widgets. Penelope can make 30 widgets per day in the factory. Penelope is able

to produce 50% more widgets per day than John. How many widgets can John make per day?
Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

15

Step-by-step explanation:

50% is the same as 1/2

1/2 of 30 is 15

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Consider a nine -year moving average used to smooth a time series that was first recorded in 1961. a. Which year serves as the f
kirill [66]

Answer:

  a.  1965

  b.  8 years

Step-by-step explanation:

For answers to questions like these it can work to consider the smallest possible dataset.

<h3>Dataset</h3>

For our purpose, consider the 9 years/values to be averaged to be ...

  1, 2, 3, 4, 5, 6, 7, 8 ,9

<h3>Observations</h3>

a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.

The first centered value is from the year 1961 +4 = 1965.

b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.

8 years of values are lost.

5 0
2 years ago
What number needs to be added to 5 and 3 so that the ratio of the first number to the second
Mashcka [7]

Answer:

3

Step-by-step explanation:

Choose a variable to represent the number to be added to 5 and 3.

\frac{5+x}{3+x}=\frac{4}{3}

"Cross-multiply."

3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x

Check:  The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.

5 0
2 years ago
Which shows another way to write 64?
Taya2010 [7]

None of those show another way to 64

6*6*6*6=1296

4*4*4*4*4*4=4096

6+6+6+6=24

6*4=24

Another way to show 64 is 8*8 or 4^3

4 0
3 years ago
Which inequality is represented by this graph? (0, 1) (6,0)
lawyer [7]

Answer:

Hope this isn't too late. The Answer Is D.

Step-by-step explanation:

The graph line becomes dotted when the inequality is less than or greater than, never less than or equal to./ greater than or equal to. This leaves to choices: B and D. D is the correct answer because the way the shading is going. because the shading is going up that means that the inequality is greater than.


4 0
3 years ago
Read 2 more answers
60 min is 20%of blank min
enot [183]

Answer:

20% of the number is 60.

100% of the number is therefore (100/20) x 60 = 5 x 60 = 300

Step-by-step explanation:

Explanation:

No further explanation required really!


4 0
3 years ago
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