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anonymous

  • 5 years ago

A company has 160 employees. The number of part-time workers is 7/9 the number of full-time workers. How many part-time and full-time workers does the company employ?

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  1. anonymous
    • 5 years ago
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    suppose x is the part-time workers and y is the full-time workers. x = (7/9) y the total employees is 160: x+y=160 (7/9)y+y = 160 (16/9)y=160 y=160(9/16) -> y=90 then from x+y=160, we could get x=160-90=70

  2. anonymous
    • 5 years ago
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    how did you get 16/9

  3. anonymous
    • 5 years ago
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    7/9 y + y = 7/9 y + 9/9 y = 16/9 y

  4. anonymous
    • 5 years ago
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    thanks could i ask you a couple more questions

  5. anonymous
    • 5 years ago
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    sure

  6. anonymous
    • 5 years ago
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    A computer consultant charges $250 for each hour of consultation and $175 for each hour of programming for clients. In 8 hours of work, she earned $1625. How much time did she spend on each activity?

  7. anonymous
    • 5 years ago
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    suppose x = hours of consulation and y = hours of programming the total hours of work is 8, so x+y = 8 She earned $1625 , so: 250x + 175y = 1625 now we have 2 equations, solve those and you'll get x and y

  8. anonymous
    • 5 years ago
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    i got x = 3 and y=5

  9. anonymous
    • 5 years ago
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    so it is trial and error

  10. anonymous
    • 5 years ago
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    do you understand now?

  11. anonymous
    • 5 years ago
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    yeap

  12. anonymous
    • 5 years ago
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    draw the graph for the equation 2x-3y +9=0

  13. anonymous
    • 5 years ago
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    2x-3y=-9 i usually find the x axis intersection and y-axis intersection first. at x=0 -> y=3 , the point is (0, 3) at y=0-> x=-9/2 , the point is (-9/2 , 0) then just connect both point

  14. anonymous
    • 5 years ago
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    it will be looked like this

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  15. anonymous
    • 5 years ago
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    thanks but how do you find (-9/2) on a graph

  16. anonymous
    • 5 years ago
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    -9/2 = -4.5 , it's between 4 and 5

  17. anonymous
    • 5 years ago
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    ok thanks

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