The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).
<h3>What is a linear equation?</h3>
- It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
- The equation is referred to as a linear equation in one variable if just one variable is contained in the equation.
Now,
We are given the linear equation: 
- 4x + 5x -2 = 6 (Distributive property)
- 9x - 2 = 6 (combining the like terms)
- 9x = 8 (additive property of equality)
- x = 8/9 (division property of equality)
Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).
To learn more about linear equations, refer to the link: brainly.com/question/11897796
#SPJ4
Answer:
Step-by-step explanation:
If we let x = the amount of 5% solution and y = the amount of pure alcohol, we can set up that
.05x+y is the amount of alcohol in our resulting mixture, and x+y is the total amount in our resulting mixture (which we know is 380)
so we also know that:
(.05x+y)/380 = .6
If we simplify this we come up with:
.05x+y=228
and we know x+y=380
If we solve this as a system of equations, we will find that:
x=160 ml
y=220 ml
Answer:
6600
Step-by-step explanation:
y = 15000( 1.2) ^ (x/3)
Let x = 6 years
y = 15000( 1.2) ^ (6/3)
y = 15000( 1.2) ^ (2)
y = 15000( 1.44)
y =21600
This is the total amount in the account
We want the profit
Subtract the original amount in the account
21600-15000
6600
560 / 28 = 20....so the driver travels 20 miles per gallon
on 35 gallons......35 * 20 = 700 miles <==
or u can also do it this way...
560/28 = x / 35....560 miles to 28 gal = x miles to 35 gal
cross multiply because this is a proportion
(28)(x) = (560)(35)
28x = 19600
x = 19600/28
x = 700 miles <==
so u can either do it by finding the unit rate or by making a proportion. either way will result in the same answer.
