YeilaY643506 YeilaY643506
  • 03-11-2022
  • Mathematics
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Solve equation 1/4 + 1/7=1/t for t to find the number of days it would take them to paint the house if they worked together. Number 361

Solve equation 14 171t for t to find the number of days it would take them to paint the house if they worked together Number 361 class=

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LandreyI22617 LandreyI22617
  • 03-11-2022

ANSWER:

2.5 days.

STEP-BY-STEP EXPLANATION:

We have the following equation:

[tex]\frac{1}{4}+\frac{1}{7}=\frac{1}{t}[/tex]

We solve for t:

[tex]\begin{gathered} \frac{1\cdot7+4\cdot1}{4\cdot7}=\frac{1}{t} \\ \frac{11}{28}=\frac{1}{t} \\ t=\frac{28}{11}\approx2.5\text{ days} \end{gathered}[/tex]

Therefore, if they work together, they could paint the house in about 2.5 days.

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