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Blababa [14]
2 years ago
5

Anthony, Brian and Chris are hired for a job. If Anthony and Brian are working together they will finish the job in minutes. If

Anthony and Chris are working together they will finish the job in minutes. If Brian and Chris are working together, they will finish the job in hour. If the Chris is working alone, how long will it take him to finish the job
Mathematics
1 answer:
Tcecarenko [31]2 years ago
5 0

Answer:

12.5

Step-by-step explanation:

Let  individual time taken by Anthony, Brian and Chris = t1 , t2 , t3 respectively

So, total time taken by A & B  = 1 / t1  + 1 / t2 , lets suppose = 10  {i}

Total time taken by A & C = 1 / t1  + 1 / t3 , lets suppose = 15 {ii}

Total time taken by B & C = 1 / t2  + 1 / t3 , lets suppose = 20 {iii}

From {i} , 1 / t2 = 10 - 1 / t1

From {ii} 1 / t1 = 15 - 1 / t3

By above two eqtns ,  1 / t2 = 10 - (15 - 1 / t3)

1 / t2 = 1 / t3 - 5

Putting in {iii} , 1 / t3 - 5 + 1 / t3 = 20

2 / t3 = 25

t3 = 12.5

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Answer:

so if it is asking about the exact percentage then the answer is B but if it is the percentage in all the answer is D.

Step-by-step explanation:  My reasoning behind is that 70 percent of the neighborhood wants a playground if it is 40 to 17

3 0
2 years ago
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Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours,
Eva8 [605]
Let:
x = hours of travel
y = velocity

slope= rise/run slope=(y2-y1)/(x2-x1) 
(x1,y1) = (2,50) (x2,y2) = (6,54) 
sub values back into the equation m = (54-50)/(6-2) m = 1 
POINT SLOPE FORMy-y1 = m(x-x1) y-50= 1(x-2) y = x -2 +50
y = x + 48

B) 

the graph within the first seven hours can be obtained at point B

x = 7

y = 7+48 = 55
B(7,55)
4 0
2 years ago
A new drug on the market is known to cure 30% of patients with cervical cancer. If a group of 18 patients is randomly selected,
Dima020 [189]

Answer:

Probability cured of cervical cancer =  18C0 (0.30)⁰(0.70)¹⁸ +  18C1(0.30)(0.70)¹⁷

Step-by-step explanation:

Given:

Patients cured = 30% = 0.30

Number of patients (n) = 18

Probability cured of cervical cancer = P(X≤1)

Probability cured of cervical cancer  = P(X=0) + P(X=1)

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5 0
1 year ago
Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t
jasenka [17]

Answer:

a. 30%

b. $893.59

c.

\frac{(351.10-x)}{893.59}\times 100\%

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the  percent of the flooring bill that will go towards the cost of labor:

\%  labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

F_c=212.52+427.35+75\\\\=714.87

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59

Hence, she spends $893.59 on furniture.

c.To get what percentage of  furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

x+y=Furniture\  cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x

The percentage is then calculated as:

\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%

Hnece the percentage cost of the night stand is \frac{(351.10-x)}{893.59}\times 100\%

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The value of y in terms of x is equal to,

<span>                                            y = 92 – 2x</span>

The area is the product of the two sides,

<span>                                                                        A = xy</span>

Substituting,

<span>                                                            A = x (92 – 2x) = 92x – 2x2</span>

Solving for the derivative and equating to zero,

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Therefore, the area of the garden is,

<span>                                                            A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>

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2 years ago
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