QuestionMr. Michaels has 40 m of wire. After wiring 16 lamps (0.45 m each), 12 wall lights (0.7 m each), and 1 floor lamp (2.6 m), how much is left? A) 7.2 m B) 18.2 m C) 21.8 m D) 15.6 m

Studdy Solution

STEP 1

Assumptions1. Mr. Michaels initially has40 meters of electrical wire. . The wire requirements for each type of light fixture are as follows - Lamp0.45 meters - Wall Light0.7 meters - Floor Lamp.6 meters3. Mr. Michaels is wiring16 lamps,12 wall lights, and1 floor lamp.

STEP 2

First, we need to calculate the total amount of wire required for each type of light fixture. We can do this by multiplying the number of each type of light fixture by the wire requirement for that fixture.
$Wire_{lamp} = Number_{lamp} \times Requirement_{lamp}$ $Wire_{wall\,light} = Number_{wall\,light} \times Requirement_{wall\,light}$ $Wire_{floor\,lamp} = Number_{floor\,lamp} \times Requirement_{floor\,lamp}$

STEP 3

Now, plug in the given values for the number of each type of light fixture and the wire requirements to calculate the total wire required for each type of fixture.
$Wire_{lamp} =16 \times0.45$ $Wire_{wall\,light} =12 \times0.7$ $Wire_{floor\,lamp} =1 \times2.6$

STEP 4

Calculate the total wire required for each type of fixture.
$Wire_{lamp} =16 \times0.45 =7.2\,meters$ $Wire_{wall\,light} =12 \times0.7 =8.4\,meters$ $Wire_{floor\,lamp} =1 \times2.6 =2.6\,meters$

STEP 5

Now that we have the total wire required for each type of fixture, we can add these up to find the total wire required.
$Total\,wire\,required = Wire_{lamp} + Wire_{wall\,light} + Wire_{floor\,lamp}$

STEP 6

Plug in the values for the total wire required for each type of fixture to calculate the total wire required.
$Total\,wire\,required =.2\,meters +8.4\,meters +2.6\,meters$

STEP 7

Calculate the total wire required.
$Total\,wire\,required =7.2\,meters +.4\,meters +2.6\,meters =18.2\,meters$

STEP 8

Now that we have the total wire required, we can subtract this from the initial amount of wire Mr. Michaels had to find out how much wire he will have left.
$Wire_{left} = Initial\,wire - Total\,wire\,required$

STEP 9

Plug in the values for the initial wire and the total wire required to calculate the wire left.
$Wire_{left} =40\,meters -18.2\,meters$

STEP 10

Calculate the wire left.
$Wire_{left} =40\,meters -18.2\,meters =21.8\,meters$ Mr. Michaels will have21.8 meters of electrical wire left after wiring16 lamps,12 wall lights, and a floor lamp.

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QuestionMr. Michaels has 40 m of wire. After wiring 16 lamps (0.45 m each), 12 wall lights (0.7 m each), and 1 floor lamp (2.6 m), how much is left? A) 7.2 m B) 18.2 m C) 21.8 m D) 15.6 m

Studdy Solution

STEP 1

Assumptions1. Mr. Michaels initially has40 meters of electrical wire. . The wire requirements for each type of light fixture are as follows - Lamp0.45 meters - Wall Light0.7 meters - Floor Lamp.6 meters3. Mr. Michaels is wiring16 lamps,12 wall lights, and1 floor lamp.

STEP 2

STEP 3

Now, plug in the given values for the number of each type of light fixture and the wire requirements to calculate the total wire required for each type of fixture.
$Wire_{lamp} =16 \times0.45$ $Wire_{wall\,light} =12 \times0.7$ $Wire_{floor\,lamp} =1 \times2.6$

STEP 4

Calculate the total wire required for each type of fixture.
$Wire_{lamp} =16 \times0.45 =7.2\,meters$ $Wire_{wall\,light} =12 \times0.7 =8.4\,meters$ $Wire_{floor\,lamp} =1 \times2.6 =2.6\,meters$

STEP 5

Now that we have the total wire required for each type of fixture, we can add these up to find the total wire required.
$Total\,wire\,required = Wire_{lamp} + Wire_{wall\,light} + Wire_{floor\,lamp}$

STEP 6

Plug in the values for the total wire required for each type of fixture to calculate the total wire required.
$Total\,wire\,required =.2\,meters +8.4\,meters +2.6\,meters$

STEP 7

Calculate the total wire required.
$Total\,wire\,required =7.2\,meters +.4\,meters +2.6\,meters =18.2\,meters$

STEP 8

Now that we have the total wire required, we can subtract this from the initial amount of wire Mr. Michaels had to find out how much wire he will have left.
$Wire_{left} = Initial\,wire - Total\,wire\,required$

STEP 9

Plug in the values for the initial wire and the total wire required to calculate the wire left.
$Wire_{left} =40\,meters -18.2\,meters$

STEP 10

Calculate the wire left.
$Wire_{left} =40\,meters -18.2\,meters =21.8\,meters$ Mr. Michaels will have21.8 meters of electrical wire left after wiring16 lamps,12 wall lights, and a floor lamp.

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QuestionMr. Michaels has 40 m of wire. After wiring 16 lamps (0.45 m each), 12 wall lights (0.7 m each), and 1 floor lamp (2.6 m), how much is left? A) 7.2 m B) 18.2 m C) 21.8 m D) 15.6 m

Studdy Solution

STEP 1

Assumptions1. Mr. Michaels initially has40 meters of electrical wire. . The wire requirements for each type of light fixture are as follows - Lamp0.45 meters - Wall Light0.7 meters - Floor Lamp.6 meters3. Mr. Michaels is wiring16 lamps,12 wall lights, and1 floor lamp.

STEP 2

STEP 3

STEP 4

STEP 5

STEP 6

Plug in the values for the total wire required for each type of fixture to calculate the total wire required.Total wire required=.2 meters+8.4 meters+2.6 metersTotal\,wire\,required =.2\,meters +8.4\,meters +2.6\,metersTotalwirerequired=.2meters+8.4meters+2.6meters

STEP 7

Calculate the total wire required.Total wire required=7.2 meters+.4 meters+2.6 meters=18.2 metersTotal\,wire\,required =7.2\,meters +.4\,meters +2.6\,meters =18.2\,metersTotalwirerequired=7.2meters+.4meters+2.6meters=18.2meters

STEP 8

Now that we have the total wire required, we can subtract this from the initial amount of wire Mr. Michaels had to find out how much wire he will have left.Wireleft=Initial wire−Total wire requiredWire_{left} = Initial\,wire - Total\,wire\,requiredWireleft​=Initialwire−Totalwirerequired

STEP 9

Plug in the values for the initial wire and the total wire required to calculate the wire left.Wireleft=40 meters−18.2 metersWire_{left} =40\,meters -18.2\,metersWireleft​=40meters−18.2meters

STEP 10

Calculate the wire left.Wireleft=40 meters−18.2 meters=21.8 metersWire_{left} =40\,meters -18.2\,meters =21.8\,metersWireleft​=40meters−18.2meters=21.8metersMr. Michaels will have21.8 meters of electrical wire left after wiring16 lamps,12 wall lights, and a floor lamp.

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Plug in the values for the total wire required for each type of fixture to calculate the total wire required.
$Total\,wire\,required =.2\,meters +8.4\,meters +2.6\,meters$

Calculate the total wire required.
$Total\,wire\,required =7.2\,meters +.4\,meters +2.6\,meters =18.2\,meters$

Now that we have the total wire required, we can subtract this from the initial amount of wire Mr. Michaels had to find out how much wire he will have left.
$Wire_{left} = Initial\,wire - Total\,wire\,required$

Plug in the values for the initial wire and the total wire required to calculate the wire left.
$Wire_{left} =40\,meters -18.2\,meters$

Calculate the wire left.
$Wire_{left} =40\,meters -18.2\,meters =21.8\,meters$ Mr. Michaels will have21.8 meters of electrical wire left after wiring16 lamps,12 wall lights, and a floor lamp.