What times what equals 24 and sums to 11

Answers

Answer 1

Answer: xy = 24
x + y = 11

x + y = 11
- x - x
y = -x + 11


  xy = 24
x(-x + 11) = 24
x(-x) + x(11) = 24
-x² + 11x = 24
  - 24 - 24
  -x² + 11x - 24 = 0
-1(x²) - 1(-11x) - 1(24) = 0
-1(x² - 11x + 24) = 0
-1   -1
x² - 11x + 24 = 0
  x² - 8x - 3x + 24 = 0
x(x) - x(8) - 3(x) + 3(8) = 0
x(x - 8) - 3(x - 8) = 0
(x - 3)(x - 8) = 0
  x - 3 = 0 or x - 8 = 0
+ 3 + 3   + 8 + 8
x = 3   or    x = 8

  x + y = 11
  3 + y = 11
- 3 - 3
  y = 8
  (x, y) = (3, 8)

  x + y = 11
  8 + y = 11
- 8 - 8
y = 3
  (x, y) = (8, 3)

The two numbers that add up to 11 and multiply to 24 are 8 and 3.

Answer 2

Answer: Ok since _x_=24+11 well lets rephrase the equation _x_+11=24 so lets find _ and _ we can find it easily by subtract 24-11=13 but if you multiply 13x1= 13 add 13+1 = 24 your answer would be 13,1

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Can an eulerian circuit also be an eulerian path?

Answers

Answer: i think yes

Step-by-step explanation:

Final answer:

Yes, an Eulerian circuit can also be an Eulerian path.

Explanation:

An Eulerian circuit can also be an Eulerian path. An Eulerian circuit is a path that visits each edge of a graph exactly once and ends at the starting vertex, while an Eulerian path is a path that visits each edge exactly once but does not necessarily end at the starting vertex. Therefore, every Eulerian circuit is also an Eulerian path.

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the length of a tennis court is 78 feet. this is 3 less than 3 times the width of the court. what is the width of the court

Answers

$length:l=78ft.\n\nw-width\n\nl=3w+3\n\n3w+3=78\ \ \ \ /-3\n\n3w=75\ \ \ \ /:3\n\nw=25\ (ft.)\leftarrow answer$

You have invested 50,000 dollars to start a donut shop. Your cost for raw materials is 0. 65 dollars per dozen and your overhead costs are 0. 55 dollars per dozen. How many dozen must you produce before your average cost per dozen drops to 2. 45 dollars?

Answers

50 dozen donuts should be produced before your average cost per dozen drops to $2.45

Let x be the number of dozen donuts produced.

The total cost to produce x dozen donuts is:

Total cost = cost of raw materials + overhead costs

Total cost = 0.65x + 0.55x

Total cost = 1.20x

The average cost per dozen can be expressed as:

Average cost per dozen = Total cost / number of dozens

2.45 = 1.20x / x

To solve for x, we can cross-multiply and simplify:

2.45x = 1.20x

x = 50

Therefore, you must produce 50 dozen donuts before your average cost per dozen drops to $2.45.

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a boat travels 45 minutes at a speed of 8 mph. then the boat travels 1.5 times faster for 1/3 hr. how many miles do the boat travel in all. need help ASAP!!!

Answers

Answer:

10 miles

Step-by-step explanation:

45/60 x 8 = 6 miles

8 x 1.5 = 4 miles

Now, add the two products together.

6 + 4 = 10 miles.

The boat traveled 10 miles in total.

A segment has endpoints A (-1, 1) and B (8, 4) . If the segment is divided into four equal parts, the coordinates of the point closest to point A are _____. (7/2, 5/2) (5/4, 7/4) (23/4, 13/4)