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makvit [3.9K]
3 years ago
9

The number of pens used varies directly with the number of pieces of paper needed. If 12 pens are used when 40 pieces of paper a

re needed, how many pens will be used when 240 pieces of paper are needed?
Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:


Step-by-step explanation:

Y=KX


P=KX

12=K40

12/40=K

.3=K

P=.3X

P=.3(240)

P=72

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Solve for x, rounding to the nearest hundredth.<br> 6•10*=1
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Step-by-step explanation:

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3 years ago
Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Bus
Licemer1 [7]

Answer:

Let the complaints by Industry be CbI

CbI               Frequency

Bank            26

Cable           44

Car               42

Cell               60

Collection     28

b) Percentages

CbI               percentage (%)

Bank              13

Cable            22

Car                21

Cell               30

Collection     14

c) The industry with the highest number of complaints is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

Step-by-step explanation:

a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.

b) The percentage for each industry is done in comparison to the the total amount of complaints received.

Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)

Total amount of complaints received = 200

For Bank industry,

Percentage = 100% × (26/200) = 13%

For the Cable Industry,

Percentage = 100% × (44/200) = 22%

For Car industry,

Percentage = 100% × (42/200) = 21%

For Cell industry,

Percentage = 100% × (60/200) = 30%

For Collection industry,

Percentage = 100% × (28/200) = 14%

c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

7 0
3 years ago
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bixtya [17]
I think the last two are correct.
Hope it helps

8 0
3 years ago
Habiendose organizado un bingo se ha recaudado $1900. Por la entrada de hombres $15 y mujeres $10 y se ha reportado una asistenc
aev [14]

Answer:

The number of men was 80

The number of women was 70

Step-by-step explanation:

The question in English is

Having organized a bingo has raised $1900. For the entrance of men $15 and women $10 and an attendance of 150 people has been reported. Determine the number of men and the number of women who participated in the bingo.

Let

x----> the number of men

y----> the number of women

we know that

x+y=150

x=150-y -----> equation A

15x+10y=1,900 -----> equation B

substitute equation A in equation B and solve for y

15(150-y)+10y=1,900

2,250-15y+10y=1,900

15y-10y=2,250-1,900

5y=350

y=70

Find the value of x

x=150-70=80

therefore

The number of men was 80

The number of women was 70

3 0
3 years ago
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