An electrician was hired to run the wires for a
surround-sound stereo speaker system. She
purchased 2 rolls of 14-gauge speaker wire.
Each roll contains 4 m of wire. For each of
2 speakers, 2 ft. of wire are required. For each of
the other 2 speakers, 11 ft. of wire are required.
Will the electrician have enough wire? If your
answer is no, what length of wire in centimetres
will she need? If your answer is yes, what length
of wire in centimetres will be left over?
Can't figure this one out. The wording is too confusing.
Need to convert meters to feet.
4m = 13.12 feet
She has two rolls.
2 * 13.12 = 26.24
She needs the amount below to connect the speakers.
2*2 + 2*11 = ?
Convert discrepancy from feet to cm.
1 foot = 30.48 cm
2 x 4 m = 8m 26.25 ft. - 4 ft - 22 ft = 0.25 ft.
8m = 800 cm,
800 cm = 314. 96 in., 0.25 ft = 7.5 cm,
314.96 in. = 26. 25 ft,
Therefore, their will be approximately 8 cm of wire left over.
Well, it sounds like the electrician is in a bit of a puzzling situation. Let's break it down and see if we can bring some clarity to the chaos.
First, let's figure out the total length of wire required for the speakers. For two speakers, she needs 2 feet of wire each. So that's 2 x 2 = 4 feet.
For the other two speakers, she needs 11 feet of wire each. So that's 2 x 11 = 22 feet.
Now, let's convert feet to meters since the rolls of wire are in meters. There are approximately 0.3048 meters in a foot.
So, 4 feet is approximately 4 x 0.3048 = 1.22 meters.
And 22 feet is approximately 22 x 0.3048 = 6.71 meters.
Now, each roll of wire is 4 meters in length. Since the electrician purchased 2 rolls, she has a total of 2 x 4 = 8 meters of wire.
Comparing the length of wire required (1.22 + 6.71 = 7.93 meters) with the length she has (8 meters), we can see that she does have enough wire.
Therefore, if your answer is yes, there will be approximately (8 - 7.93) = 0.07 meters of wire left over.
Now, to convert that to centimeters, we can multiply 0.07 by 100, which equals 7 centimeters.
So, in centimeters, there will be approximately 7 centimeters of wire left over.
Phew! I hope that helps unravel the confusion. If not, feel free to ask again, and I promise I won't turn this into a wire-tangled joke!
Let's break down the problem step by step:
1. The electrician purchased 2 rolls of 14-gauge speaker wire, and each roll contains 4 meters of wire. So, she has a total of 2 rolls * 4 meters/roll = 8 meters of wire.
2. For each of the first 2 speakers, 2 feet of wire is required. Since we need to calculate everything in centimeters, we need to convert feet to centimeters. 1 foot is equal to 30.48 centimeters. So, for the first 2 speakers, the wire requirement is 2 feet * 30.48 cm/foot = 60.96 cm.
3. For each of the other 2 speakers, 11 feet of wire is required. Using the conversion factor mentioned above, the wire requirement for these speakers is 11 feet * 30.48 cm/foot = 335.28 cm.
4. Now let's calculate the total wire requirement for all the speakers. We have 2 speakers requiring 60.96 cm and 2 speakers requiring 335.28 cm. So, the total wire requirement would be 2 * 60.96 cm + 2 * 335.28 cm = 48.8 cm + 670.56 cm = 719.36 cm.
5. Finally, let's determine if the electrician has enough wire. She has a total of 8 meters of wire, which is equal to 800 centimeters. If the wire requirement is less than or equal to the wire available, then the answer is yes, she has enough wire. In this case, the wire requirement is 719.36 cm, which is less than 800 cm. Therefore, she has enough wire.
If you need any further assistance, please let me know!
To solve this problem, let's break it down step by step:
1. Start by calculating the total length of wire needed for the speaker system. For each of the first two speakers, 2 ft. of wire is required, so the total length for those two speakers would be 2 ft. x 2 = 4 ft. Similarly, for the other two speakers, 11 ft. of wire is required, so the total length for those two speakers would be 11 ft. x 2 = 22 ft.
2. Now, we need to convert the total length of wire required from feet to meters. Since each roll of wire contains 4 meters, we will convert the total length in feet to meters. We know that 1 meter is approximately equal to 3.281 feet. Therefore, the total length in meters would be (4 ft. + 22 ft.) / 3.281 = total length in meters.
3. Once we have the total length of wire required in meters, we need to check if the electrician has enough wire. Since each roll contains 4 meters, we multiply the number of rolls (2) by 4 to get the total length of wire available in meters.
4. If the total length of wire available is greater than or equal to the total length of wire required, then the answer is yes, the electrician has enough wire. In that case, to find the length of wire left over, we subtract the total length of wire required from the total length of wire available.
5. If the total length of wire available is less than the total length of wire required, then the answer is no, the electrician does not have enough wire. In that case, to find the additional length of wire needed, we subtract the total length of wire available from the total length of wire required.
Now you can follow these steps to calculate whether the electrician has enough wire and the length of wire left over (if the answer is yes) or the additional length of wire needed (if the answer is no).