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Otrada [13]
3 years ago
8

Desiree writes songs for her band. her first song is 3 1/2 minutes long. Her second song is 1 1/2 times as long as her first son

g. her third song is 2/3 times as long as her second song. How many minutes long are the second and third songs?
Mathematics
1 answer:
user100 [1]3 years ago
6 0
3 1/2 x 1 1/2= 7/2 x 4/2= 28/4. 28/4 x 2/3= 56/12. 56 divided by 12 is 4 8/12. The second song is 7 minutes is long and the third song is 4 8/12 minutes long.
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Answer:

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Step-by-step explanation:

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8 0
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It takes two hours for two machines to manufacture 10000 parts. If machine #1 can do the job in one hour less than machine #2, h
elena-14-01-66 [18.8K]

Answer:

Time machine one = 3.56

Time machine two = 4.56

Step-by-step explanation:

Let machine 2 do the job in x hours

Let machine 1 do the job in x - 1 hours.

The general formula for this problem is

Time = A*B/(A + B)

Givens

Time = 2 hours

B = x hours alone

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#################

x *( x - 1)

======= = 2

(x + x - 1)

(x^2 - x)/(2x - 1) = 2

x^2 - x = 2(2x - 1)

x^2 - x = 4x - 2

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b = - 5

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This gives 2 roots

x = 4.56

x = 0.43

The second root will not work because when 1 is subtracted from 0.43 the time give will be minus, which won't work.

Time for machine 2 is 4.56

The time for machine 1 is 3.56

Check

(A * B)/(A + B) = 2

A = 4.56

B = 3.56

Time = 4.56*3.56/(4.56 + 3.56)

Time = 16.2336/(8.12)

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The rounding error in the check comes from the rounding error in the times.  

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