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Helen [10]
3 years ago
8

Bill, bob, and barry are hired to paint signs. in 8 hours bill can paint 1 sign, bob can paint 2 signs, and barry can paint 1 an

d 1 / 3 signs. they all come to work the first day, but barry doesn't like the job and quits after 3 hours. bob works half an hour longer than barry and quits. how long will it take bill to finish 2 signs they were supposed to paint?
Mathematics
1 answer:
OLEGan [10]3 years ago
7 0
Define rates at which the individuals paint.
Bill:  x = 1/8  signs/h
Bob: y = (2 signs)/(8 h) = 1/4  signs/h
Barry: z = (4/3 signs)/(8 h) = 1/6 signs/h

The job is to paint 2 signs, working together.

In the first 3 hours, the amount painted is
(x+y+z signs/h)*(3 h) = (1/8 + 1/4 + 1/6)*3 = 13/8 signs
Remaining: 2 - 13/8 = 3/8 signs

Barry quits.
In the next 1/2 hour (30 minutes), the amount painted is
(x + y signs/h)*(0.5 h) = (1/8 + 1/4)*0.5 = 3/16 signs
Remaining: 3/8 - 3/16 = 3/16 signs

Now Bob quits.
The time for Bill to finish the job is
(3/16  signs)/(1/8 signs/h) = 3/2 h

Answer: Bill finishes the job in 1.5 hours (or 1 hour, 30 minutes) 

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In a field of ducks and a dog someone counted 25 heads and 80 legs. How many dogs and ducks are there
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Ducks have 1 head. Dogs have 1 head.
Ducks have 2 feet. Dogs have 4 feet.

If x = no. of ducks and g = no. of dogs

x + g = 25
2x + 4g = 80

Let's use substitution to solve.

x + g = 25 ⇒ x = 25 - g
replace x with 25 - g in the other equation and solve for g

2x + 4g = 80
2(25 - g) + 4g = 80
50 - 2g  + 4g = 80
50 + 2g = 80
2g = 30
g = 15

Now use g = 15 in an earlier equation to find x.

x + g = 25
x + 15 = 25
x = 10
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2x+5

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x+x+5

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In Inglis County me were 2,277 student athletes competing in spring sports in 2014. Thai was of the number which was of the numb
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2012⇒2300 athletes. 
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3 years ago
Find f(x)=x^2-x^3,find f(-10)
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Answer:

Value of f(-10) is 1100

Step-by-step explanation:

Given that f(x) = x² - x³

Here we need to find f(-10).

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 f(-10) = 100 - (-1000)

 f(-10) = 100 + 1000

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