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Andreyy89
3 years ago
13

If LN=12x+16 what is the length of LN in units

Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

8

Step-by-step explanation:

2x+16=0

2x=16

x=16/2

x8

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Hey can anyone help me? I just need help with the bottom table.
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<h3>Hello there!</h3><h3>Let's start this problem off by looking at the key parts of the question.</h3>

The question asks how many hours each person worked, and how much they earned, or basically they're asking for the right two columns to be filled in. (Total hours = how many hours each person worked, and Total pay = how much they earned)

<h3>Now let's recall the information which is given. </h3>

If we look at the table, we can see we're given information for each person, Sue, Bob, and Chris. We're given their rate per hour, and the numbers of hour they worked for each day.

<h3>Now that we've looked at that, we can connect the information we're given and what the question is asking.</h3>

The two things we are looking to calculate can correspond with a part of information we're given:

  • Total Hours <-> hours worked each day: we can see these connect as the total hours work (I'm assuming) are weekly, and to calculate the total hours worked we can look the hours worked for each day as days make up weeks. Therefore, if you just add the number of hours worked on Monday, Tuesday, Wednesday, Thursday, and Friday together, you get the total hours worked in the week.
  • Total Pay <-> rate per hour and total hours: the total amount of pay can be calculated once we know the rate per hour and the total hours. The rate per hour is based off of the hours, it's how much is earned every hour, and the total hours include the total amount of hours worked. Therefore, if you multiply the two together you'll get the total pay. (Multiplying is essentially adding a number, another number of times, in this case it's adding the pay rate, the total hours amount of times.)
<h3>Now that we know how they're connected, and therefore how to solve the equation, we can complete the calculations.</h3>

Find the total hours worked for each person:

  • Sue: Monday: 3.5 hours, Tuesday: 10.5 hours, Wednesday: 5.25 hours, Thursday: 6 hours, Friday: 12 hours. 3.5 + 10.5 + 5.25 + 6 + 12 = 37.25 total hours worked
  • Bob: Monday: 5 hours, Tuesday: 3.5 hours, Wednesday: 7.75 hours, Thursday: 5.5 hours, Friday: 10.25 hours. 5 + 3.5 + 7.75 + 5.5 + 10.25 = 32 hours total worked
  • Chris: Monday: 6.5 hours, Tuesday: 7.25 hours, Wednesday: 9.5 hours, Thursday: 3.5 hours, Friday: 3.5 hours. 6.5 + 7.25 + 9.5 + 3.5 + 3.5 = 30.25 hours total

We have now calculated the total hours for each person. You can therefore fill in the column of total hours, starting from the top, with 37.25 hours, then 32 hours, and finally 30.25 hours.

<h3>The final step is to calculate the total pay for each person.</h3>

As I stated earlier, the only thing needed to do to find the total pay is to multiply the total hours my the rate per hour.

  • Sue: $16.50 per hour, 37.25 hours. 16.50 * 37.25 = $614.625, rounds up to $614.623
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<h3>Now we have all our solutions. For the total hours column, top to bottom: 37.25 hours, 32 hours, 30.25 hours. For the total pay column, top to bottom: $614.623, $360, $438.63</h3><h3>Hope this helped!</h3>
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