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omeli [17]
3 years ago
15

The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Marcel’s pool (in liters) after Marcel spends mmm m

inutes filling his pool. What is the volume of water in Marcel’s pool after he fills it for 5 \large\frac145 ​4 ​ ​1 ​​ 5, start fraction, 1, divided by, 4, end fraction minutes?
Mathematics
1 answer:
Nady [450]3 years ago
8 0
All you have to do is you only need to evaluate the given equation which is:100 + 20m where m would be the number of minutes = 5 1/4 minutes
100 + 20 (5 1/4) 
= 100 + 105 
= 205 cubic liters is the volume of water in Marcel’s pool after he fills it.
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A movie theater charges $4.50 for children and $8.00 for adults. On a certain day, 1200 people enter the theater and $8375 is co
Lady bird [3.3K]

Answer:

The number of adults who attended=850

The number of children who attended=350

Step-by-step explanation:

a). Determine first expression

Let the number of each group be as follows;

adults=a

children=c

total number of people=1200

This can be expressed as;

number of people=number of children+number of adults

replacing;

a+c=1200...equation 1

b). Determine the second expression

Let the total cost be expressed as shown;

total cost=(cost per child×number of children)+(cost per adult×number of adults)

where;

total cost=$8,375

cost per child=$4.5

number of children=c

cost per adult=$8

number of adults=a

replacing;

(8×a)+(4.5×c)=1,200

8 a+4.5 c=8,375...equation 2

c). Combine equation 1 and 2 and solve simultaneously

1(8 a+4.5 c=8,375)

4.5(a+c=1,200)=4.5 a+4.5 c=5,400

(8 a-4.5 a)+(4.5 c-4.5 c)=(8,375-5,400)=2,975

3.5 a=2,975

a=2,975/3.5

a=850

replacing the value for a in equation 1

850+c=1200

c=1200-850=350

The number of adults who attended=850

The number of children who attended=350

4 0
3 years ago
What is an open line of credit?
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Answer:

  c. A line of credit against which additional debt may be drawn

Step-by-step explanation:

A line of credit is "open" if there are no specific payoff requirements (except perhaps a minimum payment according to the balance). There is usually a limit to the available credit, but as long as the amount borrowed is less than that limit, additional funds may be borrowed at any time.

A credit card is an example of an open line of credit.

3 0
3 years ago
In a rural area, only about 30% of the wells that are drilled find adequate water at a depth of 100 feet or less. A local man cl
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

Given that in a rural area, only about 30% of the wells that are drilled find adequate water at a depth of 100 feet or less.

The sample size n = 80

no of wells less than 100 feet deep=27

Sample proportion = \frac{27}{80} =0.3375

a) Create hypotheses as

H_0: p = 0.30\\H_a: p >0.30\\

(Right tailed test)

p difference = 0.3375-0.30 = 0.0375

Std error of p = \sqrt{\frac{0.3(0.7)}{80} } =0.0512

b) Assumptions: Each trial is independent and np and nq >5

c) Z test can be used.

Z= p diff/std error = \frac{0.0375}{0.0512} =0.73

p value = 0.233

d) p value is the probability for which null hypothesis is false.

e) Conclusion: Since p >0.05 we accept null hypothesis

there is no statistical evidence which support the claim that more than 30% are drilled.

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Answer: I would think

6-0

12-1

30-2

Step-by-step explanation:

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