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Ostrovityanka [42]
3 years ago
6

Can you break down how this equation was solved?

Mathematics
2 answers:
Novay_Z [31]3 years ago
4 0
X + 2 = 5
____
4
~~~~~~~~~~~~~~~~~~~~~~~~ Multiply 4 on both sides:

x + 2 = 5
____
4
x4 x4
----------------
4(x+2) = 4(5) [DONT FORGET TO SIMPLIFY]

4x + 8 = 20
~~~~~~~~~~~~~~~~~~~~~~~~ Subtract 8 from both sides:

4x + 8 = 20
-8 -8
---------------------
4x = 12
~~~~~~~~~~~~~~~~~~~~~~~~ Divide by 4

4x = 12
÷4 ÷4
--------------
x = 3
dolphi86 [110]3 years ago
3 0
Yes! Let me help you!

Here is the original equation, lets solve this step-by-step

(x + 2)/4 = 5

Now, lets find out how. 

We must apply the inverse operation. 

4/2 is the reciprocal, so lets multiply that to both sides. 

4/2 = 2
5*4 = 20

4x + 8 = 20
      -8      -8            Subtract 8 from both sides. (Inverse operation) 

4x = 12
4x/4  = 12/4             Divide 4 by both sides (Inverse)

x = 12/4
x = 3           Simplified

Answer:  x = 3
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Ms. Anguiano is enjoying a bicycle ride on a country road
GalinKa [24]

Answer:

The rate is 13 miles per hour

Step-by-step explanation:

* Lets explain how to solve the problem

- Jim lives three miles east of State College

- At noon, he leaves his house and begins to walk due east at a

constant speed of 2 miles per hour

- Annie lives four miles north of State College

- At noon, she leaves her house and begins to bicycle due north at a

constant speed of 8 miles per hour

- The east is perpendicular to the north

* Lets solve the problem

∵ At noon means 12 p.m

∵ They moved till 1 p.m

∵ Jim walked for 1 hour and Annie bicycled for 1 hour

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∵ The rate of Annie is 8 miles per hour

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- Lats calculate the distance of Annie from the State College till her

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∵ Annie lives four miles north of State College

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- Lets find the distance between them at 1 p.m

∵ The north ⊥ east

- Use Pythagoras Theorem to find the distance

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∵ The distance between them is 13 miles in 1 hour

∴ The rate = 13/1 = 13 miles per hour

* The rate is 13 miles per hour

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4 years ago
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