1/2+3/7= in simplest form

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

7 0

Answer:

1/14

Step-by-step explanation:

1/2+3/7=7/14-6/14=1/14

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A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c

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Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

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A stereo system is being installed in a room with a rectangular floor measuring 19 feet by 12 feet and a 7-foot ceiling. The st

krek1111 [17]

Answer:

The shortest length of wire that can be used is 29.47 ft.

Step-by-step explanation:

To solve this problem we can follow the following steps:

1) We have the dimensions of the floor of the room. The shortest distance between its opposite corners is the diagonal. We calculate the diagonal using the Pythagorean theorem.

$L = \sqrt{12^2 + 19^2}\\\\L= 22.47\ ft$

2) Since the speaker is on the ceiling, and the amplifier is on the floor, then 7 more feet of wire is needed to reach the speaker. Observe the attached image

3) The final distance (d) is:

$d = 22.47\ ft + 7\ ft\\\\d = 29.47\ ft$