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Verdich [7]
3 years ago
7

A carton has a length of 2 1/2 feet, width of 3 1/2 feet, and height of 5 feet. What is the volume of the carton?

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

Volume of the carton = 43 3/4 feet ³

Step-by-step explanation:

Volume of the carton = length × width × height

length = 2 1/2 feet

width = 3 1/2 feet

height = 5 feet

Volume of the carton = length × width × height

= 2 1/2 feet × 3 1/2 feet × 5 feet

= 5/2 × 7/2 × 5

= (5*7*5) / (2*2)

= 175 / 4

= 43 3/4 feet ³

Volume of the carton = 43 3/4 feet ³

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the cost for a company to produce x television in 1 year is $150x + $250,000. how many televisions can the company produce in 1
vampirchik [111]

Answer:

Number of television company produce = 2,000

Step-by-step explanation:

Given:

Cost function = $150x + $250,000

Cost = $550,000

Find:

Number of television company produce

Computation:

$150x + $250,000 = $550,000

$150x = $300,000

x = 2,000

Number of television company produce = 2,000

5 0
2 years ago
Solve 3.5x-2.8=-3.8x-7.2 graphically
pshichka [43]

x= -0.6

The graph is attached in the figure below.

Step-by-step explanation:

Solve 3.5x-2.8=-3.8x-7.2

Simplifying:

3.5x-2.8=-3.8x-7.2

Combining like terms:

3.5x+3.8x=-7.2+2.8\\7.3x=-4.4\\x=\frac{-4.4}{7.3}\\x=-0.6

x= -0.6

The graph is attached in the figure below.

Keywords: Graph the equation

Learn more about Graphing the equation at:

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3 years ago
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2 years ago
Mel used partial quotients to find the quotient of 378 divided by 3.What could be the partial quotient that Mel found?
Genrish500 [490]

Answer:

The partial quotients are 100, 20 and 6. The quotient is 126.

Step-by-step explanation:

The dividend is 378 and the divisor is 3.

First find the factors of 3, near to 300.

3\times 1=3

3\times 10=30

3\times 100=300

The value 300 is less than 378, so record the partial quotient 100 and subtract 300 from 378. Repeat the same process until the dividend has been zero.

Now the remaining divide is 78.

First find the factors of 3, near to 78.

3\times 20=60

3\times 30=90

Since 90>78, therefore 30 is not a partial quotient. The value 60 is less than 78 , so record the partial quotient 20 and subtract 60 from 78.

Now the remaining divide is 18.

3\times 6=18

The number 6 is a partial quotient.

Therefore  partial quotients are 100, 20 and 6. Add the partial quotient to find quotient.

100+20+6=126

3 0
3 years ago
A ladder that is 32 ft long leans against a building. The angle of Elevation of the Ladder is 70 degrees
netineya [11]

Answer:

B. 30 ft

Step-by-step explanation:

The ladder is 32 ft long

The angle of elevation of the ladder is 70°

The height (h) of the top of the ladder to the ground is what we are to find.

\frac{h}{32} = sin 70°

h = 32 × sin 70° = 30.07016387 or 30 ft (rounded off to nearest feet)

3 0
3 years ago
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