algebra two words problem help please?
how do i work these 3 word problems out?
4)the sum of kim's age and twice sue's age is 52. if sue's age is subtracted from twice kim's age the result is 29. how old are they?
2) a 2 minute call to boston costs 3.50 and a 6 min call costs 6.50. assuming that the relationship is linear, what will a 10 min call cost?
1) find three consecutuve even integers such that the difference between 3 times the first and third is 32
Comments
4) the sum of kim's age k and twice sue's age s is 52 ==> k + 2s = 52
sue's age subtracted from twice kim's age is 29 ==> 2k - s = 29
k + 2s = 52
4k - 2s = 58 (twice the second equation)
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5k = 110 ==> k = 110 / 5 = 22
kim is 22, sue is 15 (because 22 + 2s = 52 ==> s = 15)
these check for both requirements
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2.
slope: (6.50 - 3.50) / (6 - 2) = 3 / 4 = $0.75 / minute
y = 0.75t + b
3.5 = 0.75(2) + b ==> b = 2
cost: 0.75t + 2
if t = 10, then cost = 7.50 + 2 = 9.50
this makes sense-- adding another 4 minutes to the call will add 3.00 again, just like from 2 to 6 minutes went from 3.5 to 6.5
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1) three consecutive even integers: 2n - 2 , 2n , 2n + 2
difference between 3 times the first and the third is 32 ==> 3(2n - 2) - (2n + 2) = 32
6n - 6 - 2n - 2 = 32
4n - 8 = 32
4n = 40
n = 10
2n - 2 = 18
2n = 20
2n + 2 = 22
the three even integers are 18 , 20 , and 22
3(18) - 22 = 54 - 22 = 32
in 12 hours antonio can paint a (a million entire area) fence so in a million hour antonio can paint a million/12 th area of fence and in 5 hours antonio + carlotta can paint a million entire fence so in a million hour antonio + carlotta can paint a million/5 th area of fence for this reason in a million hour carlotta can paint = (a million hour artwork of antonio + carlotta) - (a million hour artwork of antonio ) =(a million/5 - a million/12) th area of fence =7/60 th area of fence so it potential she would be able to take 60/7 hours to color the full fence. 2) say the time taken is x hrs so velocity of hilda =six hundred/x mph and velocity of elliot is 500/x mph in accordance to question ,six hundred/x mph is comparable to 500/x mph + 10 mph ie, six hundred/x = 500/x + 10 solvin it you will get x=10 so the fee of hilda is six hundred/x = six hundred/10 = 60 mph tada...welcome