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slavikrds [6]
2 years ago
10

How to solve 2x + 3(5-x)-12=4(x+2) step by step

Mathematics
2 answers:
sleet_krkn [62]2 years ago
8 0
<span>2x + 3(5 - x) - 12 = 4(x + 2)

1) pass: </span><span>Delete the parentheses, making the multiplications.
</span>2x + 15 - 3x - 12 = 4x + 8

2) pass: <span>Put the numbers with incognito on the left and change the signal when changing sides if necessary, put the numbers without incognito on the right by changing the signal if necessary.
</span>2x + 15 - 3x - 12 = 4x + 8
2x - 3x - 4x = - 15 + 12 + 8

3) pass: <span>Solve the equations not forgetting the signal rules.
</span>2x - 3x - 4x = - 15 + 12 + 8
- x - 4x = - 3 + 8
- 5x = 5 Simplify by (-1) Exchanging the signals
5x = - 5
x = \frac{-5}{5}
\boxed{x = -1}

<span>I hope I have helped you, good studies!</span>


larisa86 [58]2 years ago
3 0
2x+3(5-x)-12=4(x+2)

Distribution property:
2x+15-3x-12=4x+8
Add like terms:
-1x+3=4x+8
Add 1x to both sides:
3=5x+8
Subtract 8 from both sides:
-5=5x
Divide by 5 on both sides to get x by itself:

x= -1
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Cohort study

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8 0
2 years ago
Caroline bakes brownies to give to her friends. She starts with 48 brownies and gives a brownie to 6 friends each hour until she
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Answer: The  below figure shows the graph of the given situation.

Step-by-step explanation:

Since, at first Caroline has brownies= 48

And, according to the question, it is decreasing by 6 per hour.

Then, the function of the given situation can be written as,

f(x)=48 - 6 x,     ------ (1)

where,  x is the number of hours and f(x) is the number of brownies Caroline has left in x hour.

Thus by substitution x= 0,1,2,3,4,5,6,7,8 in equation (1),

We get, f(x)=48, 42, 36, 30, 24, 18, 12, 6, 0

So, the function has points, (0, 48), (1, 42), (2, 36), (3, 30), (4, 24), (5,18 ),(6,12 ) (7, 6) (8, 0).

With help of the above points we can draw the graph of the given situation.

Note: since at x=8, f(x)=0 therefore after 8 hours she has no brownies left.


8 0
2 years ago
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Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your
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The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.

<h3>What are the critical values of r?</h3>

Question Parameters

r = -0.868

n = 5

df = 5 - 2

df = 3

\alpha / 2 =0.025

Critical values r= \pm 0.878

Generally, there exists no linear correlation between the Critical values

as r=0.878

In conclusion,  Critical values: r = +0.487, no significant linear correlation

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