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Naddik [55]
3 years ago
14

A sofa is on sale for $219, which is 27% less than the regular price. What is the regular price?

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Answer:

$300 was the regular price of the sofa.

Step-by-step explanation:

If $219 is 27% less than the regular price, then it represents 73% of the regular price.

Regular price = r.

r/1 x 73/100 = $219. Reverse this to find that $219/1 divided by 73/100 = r.

To divide fractions, reverse the second fraction and MULTIPLY:

$219/1 x 100/73 = 21900/73 = 300.

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Which is the graph of y = 5x + 5?
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Answer:

B

Step-by-step explanation:

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F(x) = 2x^2 – 5x – 3<br> g(x) = 2x^2 + 5x + 2<br> Find: (f/g) (x)
GrogVix [38]

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Since this means f of g so I will get the function g(x) and replace it with X in the function of f (x)

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Find the area of the polygon.<br> 26 ft<br> 14 ft<br> 4 ft<br> 4 ft<br> 5 ft
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5 0
2 years ago
uppose we want to build a rectangular storage container with open top whose volume is $$ cubic meters. Assume that the cost of m
Ainat [17]

Answer:

a = length of the base = 2.172 m

b = width of the base = 1.357 m

c = height = 4.072 m

Step-by-step explanation:

Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?

lets call a = length of the base

b = width of the base

c = height

V = a.b.c = 12

Area without the top:

Area = ab + 2bc + 2ac

Cost  = 12ab + 8.2bc + 8.2ac

Cost = 12ab + 16bc + 16ac

height = 3.width

c = 3b

Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab

abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²

Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b

C(b) = 48b² + 240/b

C'(b) = 96b - 240/b²

Minimum cost: C'(b) = 0

96b - 240/b² = 0

(96b³ - 240)/b² = 0

96b³ - 240 = 0

96b³ = 240

b³ = 240/96

b³ = 2.5

b = 1.357m

c = 3b = 3*1.357 = 4.072m

a = 4/b² = 2.172m

6 0
3 years ago
4(y+8)=100 help me pls due today
Otrada [13]

Answer:

y=17

Step-by-step explanation:4(y+8)=100

We move all terms to the left:

4(y+8)-(100)=0

We multiply parentheses

4y+32-100=0

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We move all terms containing y to the left, all other terms to the right

4y=68

y=68/4

y=17

   

8 0
2 years ago
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