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tankabanditka [31]
3 years ago
13

It takes Anjali eight minutes to wax a floor. Shayna can wax the same floor in 12 minutes. Find how long it would take them if t

hey worked together.
Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

  • It would take them 4.8 minutes if they worked together.

Step-by-step explanation:

The rates of work are additive. That is, <em>the total rate when Anjali and Shayna work together is equal to the sum of the individual rates when they work separetely</em>.

1. <u>Rate of work of Anjali</u>:

  • Eight minutes to wax a floor: r₁ = 1 floor / 8 minutes = 1/8

2. <u>Rate of work of Shayna</u>:

  • Twelve minutes to was the same floor: r₂ = 1 floor / 12 minutes = 1/12

3. <u>Rate of work if they worked together</u>:

  • r = r₁ + r₂ = 1/8 + 1/12
  • steps to add the fractions:

                - least common denominator: 2³ · 3 = 24

                - r = 1/8 + 1/12 = 3/24 + 2/24 = 5/24 = 0.2083 ...

                - that mean 5 floors/24 minute = 0.2083... floors/minute

4. <u>Time to wax a floor if they worked together</u>

  • The time to wax one floor (minutes per floor) is the inverse of the rate, floors per minute:

                - time = 1 / r = 24/5 = 4.8 minutes per floor.

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3 years ago
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MissTica

Answer:

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Step-by-step explanation:

This should help!

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klasskru [66]

We need to use the calculator, using the tan⁻¹ function:

\begin{gathered} \tan(G)=0.43 \\ \tan^{-1}(\tan(G))=\tan^{-1}(0.43) \\ G=\tan^{-1}(0.43) \end{gathered}

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Nataly_w [17]

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Step-by-step explanation:

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3 years ago
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exis [7]

Answer:

x = -3

Step-by-step explanation:

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Since, solution of the system of equations is the point of intersection on the graph.

Therefore, point of intersection or solution of the system will be,

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This common point will satisfy both the equations.

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