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anonymous

  • one year ago

for this question do you divide?

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  1. anonymous
    • one year ago
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    A weather balloon holds 2,850 cubic meters of helium. The density of helium is 0.1685 kilograms per cubic meter. How many kilograms of helium does the balloon contain? Please round your answer to the nearest whole number. Only enter a numerical value in the answer blank.

  2. anonymous
    • one year ago
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    you would divide 2850 / 0.1685?

  3. jim_thompson5910
    • one year ago
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    If you knew the mass and volume, you divide to get the density. However, we don't know the mass which is why we end up multiplying instead (think of it as undoing division) Density = mass/volume D = m/v 0.1685 = m/2850 0.1685*2850 = m ... Multiply both sides by 2850 to isolate m m = ??.

  4. anonymous
    • one year ago
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    i got 480.225

  5. anonymous
    • one year ago
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    is that correct?

  6. anonymous
    • one year ago
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    @jim_thompson5910

  7. jim_thompson5910
    • one year ago
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    I'm getting the same. Then you round to the nearest whole number.

  8. anonymous
    • one year ago
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    so 480

  9. anonymous
    • one year ago
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    can you check one more question?

  10. jim_thompson5910
    • one year ago
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    sure

  11. anonymous
    • one year ago
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    The population of Tinyville is 16.2 Tinys per acre. Exactly 405 Tinys live in Tinyville. How many acres is Tinyville? Only enter a numerical value in the answer blank.

  12. anonymous
    • one year ago
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    i got 0.04

  13. anonymous
    • one year ago
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    should i have multiplied?

  14. jim_thompson5910
    • one year ago
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    population density = (# of people total)/(total area)

  15. jim_thompson5910
    • one year ago
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    population density = 16.2 Tinys per acre # of people total = 405 tinys area = unknown

  16. jim_thompson5910
    • one year ago
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    let x = unknown area population density = (# of people total)/(total area) 16.2 = 405/x x = ??

  17. anonymous
    • one year ago
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    i got 25 0.0

  18. jim_thompson5910
    • one year ago
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    25 acres is correct

  19. jim_thompson5910
    • one year ago
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    hopefully that's a face after the 25? and it's not two hundred fifty point zero?

  20. anonymous
    • one year ago
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    yeah its a face lol

  21. jim_thompson5910
    • one year ago
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    I thought so but wasn't sure lol

  22. phi
    • one year ago
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    one way to keep things straight about multiplying or dividing is to use ratios when you see "16.2 Tinys per acre" read 16.2 Tinys per 1 acre" and the word "per" read as "divided by" that is, write the ratio \[ \frac{ 16.2 \ Tiny }{1 \ acre} \] Next they say: Exactly 405 Tinys ... x (unknown acres) write another ratio of # of Tiny's divided by number of acres \[ \frac{ 16.2 \ Tiny }{1 \ acre} = \frac{405}{x} \] now you "solve for x"

  23. phi
    • one year ago
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    the first trick, is if the x is in the bottom, you can "flip" both sides \[ \frac{1 \ acre} { 16.2 \ Tiny }= \frac{x}{405 \ Tinys} \] now to "solve for x" multiply both sides by 450 Tinys \[ \frac{1 \ acre} { 16.2 \ Tiny } \cdot 450 \ Tinys= \frac{x}{405 \ Tinys} \cdot 450 \ Tinys\] and that simplifies to \[\frac{ 450}{16.2} \ acres= x \]

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