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yuradex [85]
3 years ago
8

Write each improper fraction as a mixed number in simplest form -72/27=

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0
-2 and 2/3 (negative two and two thirds)
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The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. Choose an
Ivanshal [37]

Answer:

Option C. 10.5(12 + x) square feet

Option E. (126 + 10.5x) square feet

Step-by-step explanation:

step 1

Find the area of the original living room

we know that

The area of the original living room is equal to

A=LW

we have

L=12\ ft\\W=10\frac{1}{2}\ ft=10.5\ ft

substitute

A=(12)(10.5)=126\ ft^2

step 2

Find the new area of the living room

The length of the room is being expanded by x feet

so

we have

L=(12+x)\ ft\\W=10.5\ ft

The new area is

A=10.5(12+x)\ ft^2

The expanded form of the expression is

Apply distributive property

A=10.5(12)+10.5(x)\\A=(126+10.5x)\ ft^2

6 0
3 years ago
The volume of a cylinder is 980pi in ^3 The height of the cylinder is 20 in. What is the radius of the cylinder?
siniylev [52]

Answer:

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Step-by-step explanation:

To calculate the radius of a cylinder we have to use the following formula:

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r = radius

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we replace with the known values

980π in³  = (π * (r)²) * 20in

980π in³ / 20in = π * (r)²

49 in² = (r)²

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The radius of the cylinder is 7 in

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Step-by-step explanation:

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