Solve the equation for t. -5(t-5)+9t=6t-4solve the equation for t. -5(t-5)+9t=6t-4

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

t = 29/2

Step-by-step explanation:

-5(t - 5) + 9t = 6t - 4

-5t + 25 + 9t = 6t - 4

4t + 25 = 6t - 4

4t + 29 = 6t

29 = 2t

29/2 = t

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The number of time it would take Todd to paint the room alone is 15 hours.

Let the Todd's time be t.

Given the following data:

Combine time = 4 hours

Sue's time = 10 hours

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To calculate the number of time it would take Todd to paint the room alone:

How to solve a word problem:

In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.

For Sue:

$Rate = \frac{1}{10} \;work/hr$

For Jeff:

$Rate = \frac{1}{12} \;work/hr$

For Todd:

$Rate = \frac{1}{t} \;work/hr$

Combined rate:

$Rate = \frac{1}{4} \;work/hr$

Adding the individual rates, we have:

$\frac{1}{10} +\frac{1}{12} +\frac{1}{t} =\frac{1}{4} \\
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Multiplying all through by 120t, we have:

$12t+10t+120=30t\\
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120=30t-22t\\
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120=8t\\
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t = 15 hours.

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2 years ago

It takes Kaeden 6 min to type two-thirds of a page. At this rate, how long will it take him to type a 5-page report?

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