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Talja [164]
3 years ago
7

Dexter was asked to mix the punch for his sister’s birthday party. He has to figure out how much water and pure concentrate to a

dd. How many liters of pure concentrate should be added to 10 liters of 20% concentrate to make a 50% concentrate punch?
Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

  6 liters

Step-by-step explanation:

Let x represent the amount of pure concentrate used to make the punch. Then the total amount of concentrate in the punch is ...

 0.20·10 +1.00x = 0.50(10+x)

  x +2 = 0.5x +5 . . . . . eliminate parentheses

  0.5x = 3 . . . . . . . . . . .subtract 2+0.5x

  x = 6 . . . . . . . . . . . . . multiply by 2

6 liters of pure concentrate must be added to make a 50% punch.

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A composite figure is shown.
VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

  • For the cube

Surface area of a cube is given by

S = 6l^{2}

Where l is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = 5l^{2}

From the given information,

l = 6 \ feet

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

  • For the square prism

The surface area of a square prism is given by the formula,

S = 2l^{2} + 4lh

Where l is the length of the sides and

h is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = 2l^{2} + 4lh -  2l^{2}

Surface area of the square prism in the figure = 4lh

From the given information,

l = 6 \ feet

h = 20 \ feet

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

  • For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }

Where l is the base length

and h is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }\  - ( l^{2})

Surface area of the pyramid part of the figure = 2l\sqrt{\frac{l^{2} }{4}+h^{2}  }

From the given information,

l = 6 \ feet

h = 4 \ feet

∴ Surface area of the pyramid part of the figure = 2(6)\sqrt{\frac{6^{2} }{4}+4^{2}  }

= 12\sqrt{\frac{36 }{4}+16}

= 12\sqrt{9+16 }

= 12\sqrt{25}

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

#SPJ1

4 0
2 years ago
Please answer answer now fast
iren [92.7K]

Answer:

fge or fgc

I think that because its kinda like the same

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A polynomial has two terms.
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Not sure if that is the entire question, but yes, it does. Poly comes from the Greek polus or polloi meaning much or many.
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