1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lys-0071 [83]
2 years ago
7

Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

0 more days to finish the job than the other worker
Mathematics
2 answers:
Lorico [155]2 years ago
8 0

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

Jobisdone [24]2 years ago
8 0

Answer:7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days. Hope this helps! jul15

Step-by-step explanation:

You might be interested in
Given that cos theta = -12/13 and theta is in the second quadrant, find this function. sin theta=​
elena-14-01-66 [18.8K]
5/13

The x value is negative (second quadrant). 13 is the hypotenuse. So the missing side is 13^2 = (-12)^2 + y^2.

Sin theta is the opposite (5) over hypotenuse (13).
3 0
3 years ago
Find the domain and range of f(x) = |x| + cosx
Rasek [7]

Answer:

D. domain: (-infinity, infinity); range: [1, infinity)

Step-by-step explanation:

The domain is the values that x can take

The domain is (-infinity, infinity)

The range is the values that y can take

absolute value is 0 or greater

cos x is from -1 to 1

The minimum value is when x=0

The smallest value is 1 and the largest is infinity

3 0
3 years ago
Determine whether the relation describe c as a function of w.
Delicious77 [7]

Answer:

Function:

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

Step-by-step explanation:

Yes, the relation described can be interpreted as a function.

Here, c is the cost of a mail letter. c depends upon w, which is the weights of the mail letter.

As described in the question, the relation can be expressed as a function.

c can be expressed as a function of w in the following manner:

c(cost of mail) = f(w), where w is the independent variable and c is the dependent variable

c = f(w) = 0.49, 0 < w ≤ 1

            = 0.70,  1 < w ≤ 2

            = 0.91, 2 < w ≤ 3

where, c is in dollars and w is in ounces.

5 0
3 years ago
HELP <br> what is the equation of the lines in slope - intercept form
34kurt

Answer:

y=7x

Step-by-step explanation:

slope intercept form is y=mx+b.

m is the slope (rise over run) and b is your y- intercept. you leave y as it is. if the line is going down, you have a negative slope. hope this helped :)

3 0
2 years ago
3(3f-2)&gt;5f-3 solve the inequality
qwelly [4]

open () to make 9f-6>5f-3

minus 5f to make 4f-6>-3

add 6 to make 4f>3 so f >3/4

5 0
3 years ago
Read 2 more answers
Other questions:
  • How to solve y=x+13 for a graph
    15·2 answers
  • Elizabeth has 87.75 feet of banner paper how many banners can she make that are 11.25 feet long. explain
    9·1 answer
  • In a right triangle, the acute angles measure 2x + 50 and 3x degrees. What is the measure of the smallest angle of the triangle?
    8·1 answer
  • Use row reduction to find the inverse of the given matrix if it exists, and check your answer by multiplication. hint [see examp
    5·1 answer
  • A 21-inch rope is to be cut into two pleces so that one piece is 8 inches longer than twice the other. How long is each piece, i
    14·1 answer
  • Two printers working together can complete a job in 6 hours. Working alone, one
    10·1 answer
  • F(x)=-4x - 10 find x when f(x)=10
    6·1 answer
  • Sam is baking 10 pies for a school bake sale. He uses 21 cups of apples for 6 pies. How many cups of apples will he need to make
    6·1 answer
  • Solve the system need help ASAP
    7·1 answer
  • I need help with this
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!