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katrin2010 [14]
2 years ago
11

Jerome will also order t-shirt for the volunteers he will both adults and child sized t-shirt adults t-shirt are $5;and child t-

shirt are $2.50 Jerome need at least 200 adults t-shirt Jerome will send no more than $1500 on t-shirt write a system of inequality to model this situation use c for child t-shirt and a for adults t-shirt inequality 1________
Inequality 2_________
Mathematics
1 answer:
Daniel [21]2 years ago
3 0
<h3><u>The two inequalities are:</u></h3>

a\geq 200\\\\5a + 2.50c\leq 1500

<h3><u>Solution:</u></h3>

Let "a" be the number of adult sized t shirts

Let "c" be the number of child sized t shirts

Given that,

Each Adult sized t shirts = $ 5

Each child sized t shirts = $ 2.50

<h3><u>Jerome need at least 200 adults t-shirt</u></h3>

Therefore,

a\geq 200

Here, we used "greater than or equal to" symbol, since he needs atleast 200 adult t-shirts

<h3><u>Jerome will spend no more than $1500 on t-shirt</u></h3>

Therefore,

5a + 2.50c\leq 1500

Here we used, "less than or equal to" symbol, since he will not spend more than 1500

Thus the two inequalities are found

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Anthony is buying a new skateboard. for $295. The sales tax is 4.75%, what will he pay in tax?
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3 years ago
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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

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Answer:


Step-by-step explanation:

To solve this you just do 14 - 52 then you get 38. Make sure to check your work. 38 + 14 = 52.

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