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spin [16.1K]
1 year ago
8

Please look at the attachment and answer my question :(

Mathematics
2 answers:
pshichka [43]1 year ago
8 0

Answer:

  • The number at B is 10.6

Step-by-step explanation:

Let the number at B be x.

We know that distance between two points on the number line is the absolute value of the difference of numbers at those points.

Then distances representing the lengths of segments AB and BC are:

  • AB = x - 9
  • BC = 13 - x

We are given the ratio of segments:

  • AB/BC = 2/3

Substitute and solve for x:

  • (x - 9)/(13 - x) = 2/3
  • 3(x - 9) = 2(13 - x)
  • 3x - 27 = 26 - 2x
  • 3x + 2x = 26 + 27
  • 5x = 53
  • x = 53/5
  • x = 10.6

dem82 [27]1 year ago
3 0

Answer:

AB / BC = 2 / 3

A equals 9 and C = 13

AC = 13 - 9 = 4

AB + BC = 13

A) AB + BC = 4

B) AB / BC = 2/3   Therefore BC = AB / (2/3)  

B) BC = 1.5 AB  

A) BC = 4 - A/B

Multiplying equation A) by -1

A) -BC = -4 + AB then we add equation B)

B) BC = 1.5 AB then adding both equations

0 = 2.5 AB -4

2.5 AB = 4

AB = 1.6

Since A = 9 then the number at B is 9 + 1.6

equals 10.6

Step-by-step explanation:

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3 years ago
You need to buy tissue paper sheets to cushion gifts being placed inside a box. The box is 12 inches wide by 16 inches long. The
Kay [80]

Answer:

Area of tissue paper is 384 square inches.

Step-by-step explanation:

Given:

Length of box = 16 inches.

Width of the box = 12 inches.

We need to find find the area of the tissue paper.

But It is given that the area of the tissue paper sheet is based on twice the length times the width of the box.

Hence Framing in equation form we get;

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Hence Substituting the given values we get;

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Hence Area of tissue paper is 384 square inches.

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3 years ago
A oil well is drilled at -175 meters ever 12 hours . How deep is the well after 15 hours of constant work. Numeric answers only
NikAS [45]

Answer:

-37.5 m

Step-by-step explanation:

If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:

... (15/24)×(-60 m) = -37.5 m

6 0
3 years ago
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The perimeter of a rectangle downtown courtyard is 174 feet. The width of the rectangle is twice the length. Find the length and
kirill [66]

Answer:

Step-by-step explanation:

L = Length

W = Width

W = 2L

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2(2L) + 2L = 174

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3 years ago
What is the surface area of the triangular prism shown? A triangular prism. The triangle faces have base 14 meters and height 24
Alekssandra [29.7K]

Answer:

1064 m²

Step-by-step explanation:

The surface area of the prism can be gotten by saying

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There are 2 triangles so this makes it

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336

The surface area is finally

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Surface area of the triangular prism has been calculated to be 1064 m²

3 0
3 years ago
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