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Brilliant_brown [7]
3 years ago
13

16x+x =12 solve justify each step with algebraic property

Mathematics
1 answer:
Karolina [17]3 years ago
6 0
Here are some things you should know when solving algebraic equations.
If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.
You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.
To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.
The distributive property is another important rule you will need to understand. The distributive property is used mostly for simplifying parentheses in expressions/equations. 
For example, how would you get rid of the parentheses here?
6(x + 1)
If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves. The distributive property states that a(b + c) = ab + ac
So, now we can simplify our expression.
6(x + 1) = 6x + 6

16x + x = 12
17x = 12 <-- Combine like terms
x = \frac{12}{17}

So, x is equal to 12/17 or approximately to 0.7.
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1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30
Bezzdna [24]

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

6 0
3 years ago
PLEASE HELP
liq [111]
--------------------------------------------
Question
--------------------------------------------
3 \times 1000 + 6 \times 100 + 1 \times 10 + 2 \times \frac{1}{10}  + 1 \times  \frac{1}{1,000}

--------------------------------------------
Convert the fractions to decimals
--------------------------------------------
3 \times 1000 + 6 \times 100 + 1 \times 10 + 2 \times 0.1  + 1 \times  0.001

--------------------------------------------
Evaluate each term
--------------------------------------------
3000 + 600 + 10 + 0.2 + 0.001

--------------------------------------------
Add them up
--------------------------------------------
3610.201

--------------------------------------------
Answer : 3610.201
--------------------------------------------
3 0
3 years ago
(6783+2684)+2566-25634+(-38757y678+(678)y678)(6788+5445)-78+(5534(78)+684)67y678a456=?
Whitepunk [10]

−

2259387936

a

456

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678

−

465820407

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13601

7 0
3 years ago
Please help! i am confused
Brut [27]

Answer:

3

16+ x = 19

x= 3

Step-by-step explanation:

pls mark as brainliest ty

7 0
2 years ago
AB ← → is tangent to circle O at point A. If m∠AOB = 55°, what is m∠ABO ?
AlladinOne [14]
A tangent forms a right angle with the centre of circle at the point it touches the circumference. i.e. OAB = 90 degrees
If AOB = 55 degrees, then ABO = 90 - 55 = 35 degrees
3 0
3 years ago
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