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ValentinkaMS [17]
3 years ago
11

if Santa increased his deliveries from 27 percent to 33 percent in 1999, and then to 39 percent in 2000, and this same pattern c

ontinued, in what year would his performance have first exceed 50 percent? (Show Your Work)
Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

2002

Step-by-step explanation:

39-33=6

2001= 39+6=45%

2002=45+6=51%


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A salsa recipe uses green pepper, onion, and tomato in the extended ration 1 : 3 : 9. How many cups of onion are needed to make
Elanso [62]
Let x be a variable.

Using the ratio and the given number of 117, we can create the following formula:

1x + 3x + 9x = 117, where 3x is the cups of onion

Simplify this equation.

13x = 117

Divide both sides by 13

x = 9

We want to solve for 3x, so multiply both sides by 3

3x = 27

As I started earlier, 3x is how many cups of onions is needed; thus, 27 is our answer. Hope this helps! :)
7 0
3 years ago
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A flash disk has the capacity of storing 1 megabyte of data. How many kilobytes of data can be stored in the same flash disk​
Luden [163]

For this sort of problem, you need to be familiar with prefixes.

So:

megabyte = 1 *10^6 bytes

kilobyte = 1*10^3 bytes

and a regular byte would just be 1

Now, you will need to do a conversion:

1megabyte*\frac{1*10^6bytes}{1megabyte}*\frac{1*10^{-3}kilobyte}{1byte}

I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are 1*10^6 bytes!)

In the second fraction thought, remember one kilobyte is 1*10^3 bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do \frac{1kilobyte}{1*10^3bytes}, but I think it is more correct to do write it out how I did).

*** They do equal the same thing though! Do whichever way is easier for you!

Now, your answer should be:

10^3 kilobytes (1000 kilobytes)

Hope this helped!

6 0
2 years ago
A rhombus has coordinates A(-6, 3), B(-4, 4), C(-2, 3), and D(-4, 2). What are the coordinates of rhombus A′B′C′D′ after a 90° c
Liula [17]

We are given that the coordinates of the vertices of the rhombus are:
<span><span>A(-6, 3)
B(-4, 4)
C(-2, 3)
D(-4, 2)

To solve this problem, we must plot this on a graphing paper or graphing calculator to clearly see the movement of the graph. If we transform this by doing a counterclockwise rotation, then the result would be:
</span>A(-6, -3)</span>
B(-4, -4)
C(-2, -3)
D(-4, -2)

 

And the final transformation is translation by 3 units left and 2 units down. This can still be clearly solved by actually graphing the plot. The result of this transformation would be:

<span>A′(6, -8)
B′(7, -6)
C′(6, -4)
D′(5, -6)</span>

7 0
3 years ago
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Compare the scores: a score of 75 on a test with a mean of 65 and a standard deviation of 8 and a score of 75 on a test with a m
LiRa [457]

Answer:

The Zscore for both test is the same

Step-by-step explanation:

Given that :

TEST 1:

score (x) = 75

Mean (m) = 65

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TEST 2:

score (x) = 75

Mean (m) = 70

Standard deviation (s) = 4

USING the relation to obtain the standardized score :

Zscore = (x - m) / s

TEST 1:

Zscore = (75 - 65) / 8

Zscore = 10/8

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TEST 2:

Zscore = (75 - 70) / 4

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The standardized score for both test is the same.

7 0
2 years ago
N a recent election, Mark Benton received 780 votes for 12% of the total vote. How many people voted in the election?
Sloan [31]

Answer: Answer C

Step-by-step explanation:

12%___780 votes

100%___X= 6500 votes

(100*780)/12 = 6500

5 0
3 years ago
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