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Natasha_Volkova [10]
3 years ago
14

What is the value of x?

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0
Answer: 12

Explain: Hope this helps!
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A set of data has the trend line modeled by the equation Y =1.5x + 11. What value of X corresponds to y =56?
erica [24]

Answer:

x = 30

Step-by-step explanation:

Plug in 56 in place of  y, then solve for x.

56 = 1.5x + 11

Subtract 11.

45 = 1.5x

Divide both sides by 1.5.

45/1.5 = x

30 = x

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Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additiona
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Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

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200 miles

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3 years ago
A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the
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Answer:

5127079.21 cubic feet

Step-by-step explanation:

The silo is in the shape of a cylinder and a cone.

The volume of the silo will be the sum of the volumes of the cylinder and the cone.

Therefore, its volume is:

V = \pi r^2h + \frac{1}{3} \pi rH

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:

130 - 25 = 105 feet

Therefore, the volume of the silo is:

V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3

The volume of the silo is 5127079.21 cubic feet.

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3 years ago
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