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tigry1 [53]
2 years ago
11

Bulbul thinks of a 3-digit number, decreases it by 50 and then increases it by 35. The resulting number will be

Mathematics
1 answer:
Veronika [31]2 years ago
7 0

Answer:X-15

Step-by-step explanation:

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Marking as brainliest!!!!
7nadin3 [17]

Answer:

The answer to your question is: Letter A

Step-by-step explanation:

Data

M (-6, 7)

E (4, 11)

r = 1 / 3

Formula

x = \frac{x1 + rx2}{1 + r}

y = \frac{y1 + ry2}{1 + r}

x = \frac{-6 + (1/3)(11)}{(4/3)} = \frac{-6 + (4/3)}{(4/3)}  = \frac{-18 + 4}{4} = \frac{-14}{4}  = \frac{-7}{2}

y = \frac{7 + (1/3)(11)}{4/3} = \frac{7 + (11/3)}{(4/3)} = \frac{21+ 11}{4}  = \frac{32}{4} = 8

5 0
2 years ago
The distance from one corner of a rectangular garden to the other is 13 ft. The length of the garden is 7 ft longer than the wid
coldgirl [10]

Answer:

  • dimensions: 12 ft by 5 ft
  • area: 60 ft²

Step-by-step explanation:

Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...

  x² + (x+7)² = 13²

  2x² +14x + 49 = 169 . . . . eliminate parentheses

  x² +7x -60 = 0 . . . . . subtract 169 and divide by 2

  (x +12)(x -5) = 0 . . . . factor the equation

  x = -12 or +5 . . . . . . . only the positive value of x is useful here.

The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².

_____

<em>Comment on finding the area</em>

The quadratic equation above can be rearranged and factored as ...

  x(x +7) = 60

Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.

4 0
3 years ago
A group of students planned to chip in to raise a total of $100 for one of their friends’ birthday party but 5 persons couldn’t
lilavasa [31]

Answer:

$5

Step-by-step explanation:

Let the number of students be x, then

<u>Initial amount per student was:</u>

  • 100/x

<u>After it becomes:</u>

  • 100/(x - 5)

<u>Since amount increased after, it can be shown as:</u>

  • 100/x + 1 = 100/(x - 5)

<u>Multiply each term by x(x - 5) to get rid of the fraction:</u>

  • 100(x-5) + x(x - 5) = 100x
  • 100x - 500 + x² - 5x - 100x = 0
  • x² - 5x - 500 = 0

<u>Positive solution of this quadratic equation is </u>

  • x = 25

<u>Amount each person paid after:</u>

  • $100 / (25 - 5) = $5

8 0
3 years ago
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