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Ostrovityanka [42]
2 years ago
6

Can you break down how this equation was solved?

Mathematics
2 answers:
Novay_Z [31]2 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]2 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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a vet weighs two puppies the small puppy weighs 4 1/2 pounds the large puppy weighs 4 2/3 times as much as the small puppy how m
Llana [10]
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7 0
3 years ago
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Simplify : 4y^2+12y-40\y^2+2y-8
PSYCHO15rus [73]
2(2y^4 + 7y^3 - 4y^2 -20)
___________________
Y^2


4y^2 - 40/y^2 + 14y - 8

2(-2y^4 - 7y^3 + 4y^2 + 20)
_ _____________________
Y^2
8 0
3 years ago
(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x
Aliun [14]
As

\tan x=\dfrac{\sin x}{\cos x}
\cot x=\dfrac{\cos x}{\sin x}

we have

\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x

Recalling that \cos2x=\cos^2x-\sin^2x, we end up with

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\implies2x=2n\pi

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5 0
3 years ago
A football coach is trying to decide: When a team is ahead late in the game, which strategy is better?
PSYCHO15rus [73]

Answer:

You are more likely to win by playing regular defense.

Step-by-step explanation:

Assume out of 100 reviewed games, there were 50 regular defense games and 50 prevent defense games. And out of 50 regular defense games, 38 were win, 12 were lose. And out of 50 prevent defense game, 29 were win, 21 were lose.

Probability to win the game by playing regular defense is:

P(win | regular) = 38/50 = 0.76

Probability to win the game by playing prevent defense is:

P(win | prevent) = 29/50 = 0.58

Since the probability of winning by regular defense game is more than prevent defense game (0.76 > 0.58), you are more likely to win by playing regular defense.

5 0
2 years ago
Read 2 more answers
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