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Musya8 [376]
3 years ago
12

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $4004 to rent

trucks plus an additional fee of $50.50 for each ton of sugar. The second company does not charge to rent trucks but charges $300.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same? tons

What is the cost when the two companies charge the same? $
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0
4004 + 50.50t = 300.75t
4004 = 300.75t - 50.50t
4004 = 250.25t
4004 / 250.25 = t
16 = t <=== they charge the same at 16 tons

300.75(16) = 4812 <== they cost the same
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18/13 or in simplified form, 1 and 5/13.
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one slice of cheese pizza contains 260 calories. a medium-size orange has one-fifth that number of calories. how many calories a
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1/5 •260=52 calories
8 0
3 years ago
Sam invests $800 at 6%/a compounded annually for 5 years. What is the total interest<br> earned?
s2008m [1.1K]
<h3>Answer:    270.58 dollars</h3>

======================================================

Work Shown:

  • A = account value after t years
  • P = principal or amount deposited = 800
  • r = interest rate in decimal form = 0.06
  • n = number of times we compound per year = 1
  • t = number of years = 5

So,

A = P*(1+r/n)^(n*t)

A = 800*(1+0.06/1)^(1*5)

A = 1070.58046208

A = 1070.58

After five years, the account will have $1,070.58 in it.

The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.

4 0
2 years ago
Annie needs $30 to buy a coat she has saved $12 and plans to work as a baby siter to earn $6 per hour which inequality shows the
tekilochka [14]

Answer:

The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.

explanation:

I'm bad with explaining things, but I'll try my best to explain why this is the right answer.

12 + 6n ≥ 30, so n ≤ 3

let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).

Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.

Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.

I hope this helps, and sorry if my explanation is hard to understand lol.

6 0
3 years ago
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?
Nastasia [14]

Answer:

The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

Step-by-step explanation:

We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)

We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0

We need to find k, by putting value of x=-5 as given in question the point(-5,4)

-5+k=0

k=5

So, the equation of line will be found by putting k=5:

x+k=0

x+5=0

x=-5

So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5

Option A is correct.

8 0
3 years ago
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