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3 years ago

Solve the equation 14=7(2x-4) using two different methods. Show your work. Which method do you prefer? Explain. need help thanks

Mathematics

2 answers:

Jet001 [13]3 years ago

5 0

Answer:

x=3

Step-by-step explanation:

14=7(2x-4)

14/7=2x-4

2=2x-4

2x=2+4

2x=6

x=6/2

x=3

------------

14=7(2x-4)

14=14x-28

14x=14+28

14x=42

x=42/14

x=3

vodka [1.7K]3 years ago

3 0

$14=7(2x-4)\\2=2x-4\\2x=6\\x=3\\\\14=7(2x-4)\\14=14x-28\\14x=42\\x=3$

I prefer the first method, because I don't do unnecessary multiplication and therefore operate on smaller numbers.

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Paraphin [41]

Answer:

(1,5)

Step-by-step explanation:

y = 4x+1

y = 2x+3

Set the two equations equal

4x+1 = 2x+3

Subtract 2x from each side

4x+1-2x = 2x+3-2x

2x+1 = 3

Subtract 1 from each side

2x+1-1 =3-1

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Divide by 2

2x/2 =2/2

x =1

Now find y

y =4x+1 = 4(1)+1 =4+1=5

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3 years ago

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Which inequality has a solution that is the set of all real numbers?

kati45 [8]

Answer:

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Step-by-step explanation:

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3 years ago

A boat sails 20 miles wast of the port and then 15 miles south to an island how far is the boat from the port if you measure thr

sweet-ann [11.9K]

Answer:

25 miles

Step-by-step explanation:

Given: A boat sail 20 miles west of the port and then 15 miles south to an island.

Picture attached.

The distance from port to island could be measured in a straight line. It will form a hypotenous.

∴ we can use Pythogorean theorem to find the distance.

$h^{2} = a^{2} +b^{2}$

Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.

$h^{2} = 20^{2} +15^{2}$

⇒ $h^{2} = 400+225= 625$

⇒ $h^{2} = 625$

⇒ $h= \sqrt{625}= \sqrt{25^{2} }$

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3 years ago

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Irina18 [472]

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3 years ago

Owen's birthday cake is a rectangle 12 inches long and 9 inches wide.

marin [14]

Answer:

4 pieces with 3 sides

2 pieces with only the top

Step-by-step explanation:

First we need to determine how many squares

9/3 = 3

12 /3 = 4

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There will be 12 pieces of cake

There are 4 corners

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