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gladu [14]
3 years ago
9

How much profit will the buisness make on the sale of a couch that is marked up by 1/3 and then sold at 1/5 off discount if the

orignal price is $2400
Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0

Answer: $160

Step-by-step explanation:

You'll need to find the mark-up price first: $2400+1/3

1/3= $800

$2400+$800= $3200

$3200 is the mark-up price

Then you have to find the discount:

1/5 of $3200

$3200/5= $640

$3200-$640= $2560

Lastly, you have to find the profit:

$2560-$2400= 160

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Find the least positive integer, written only by numbers 0, 1 and 2, which is divisible by 225.
True [87]

9514 1404 393

Answer:

  1,222,200

Step-by-step explanation:

A search using a computer program found ...

  5432 × 225 = 1,222,200

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1000 mod 225 = 100

4 × 225 = 900

This suggests that if we have some number of thousands whose digits total 9, that we will have the number of interest. Of course, we can add 200 to some number of thousands with a digit total of 7. The smallest such digit total will be had with the number 1222 using the specified digits {0, 1, 2}. This gives rise to the result above: 1222×1000 +200 = 1,222,200. It also explains why moving the 1 to the right will also give a multiple of 225.

7 0
3 years ago
Write the standard form of a line that passes through (1, 1) and (3, 4)
Sophie [7]

Answer:

3x - 2y = 1

Step-by-step explanation:

Step 1:   Find the slope

slope m = (y2 - y1)(/x2 - x1)

 m = (4 - 1)/(3 - 1) = 3/2

Step 1:  Use the formula y = mx + b to solve

This is slope-intercept form of a line.  We have a slope of 3/2, and a point (x, y), which is (1, 1).  Plug those values into the equation above and solve for b (the only variable we are missing

1 = (3/2)(1) + b

   1 = 3/2 + b  

          1 - 3/2 = b

             2/2 - 3/2 = b

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Step 2: Rewrite the formula using the slope and the b value we just calculated

 y = (3/2)x - 1/2

Step 3:  Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.  

y = (3/2)x - 1/2

 -(3/2)x + y = -1/2     (subtract (3/2)x from both sides)

 

      -3x + 2y = -1       (multiply by 2 to get rid of the fraction on x)

           3x - 2y = 1     (multiply by -1 so a becomes positive)    

3 0
3 years ago
The equation y = 2x + 1 is changed to y = 2x - 1. How does this change the graph of the line?
Mekhanik [1.2K]
Y = 2x + 1
y = 2x - 1

so the 1st one has a y int of 1 and the second one has a y int of -1...so the original line will shift down 2 units
7 0
3 years ago
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PEMDAS: Parantheses first

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