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
Now let's solve your equation.
9v = 8 + v
8v = 8 <-- Subtract v from each side
v = 1 <-- Divide both sides by 8
So, v is equal to 1.
Answer: $65 lol
Step-by-step explanation:
Step-by-step explanation:
This can be modeled by the equation f(x)=7+5x
Because if f(1)=7+5=12, f(2)=7+10=17, and f(x)=7+15=22
If x=50 then f(50)=7+5(50)
f(50)=$257
To round a number, you look to the next place to the right of what you want to round to... for example, if you want to round to the nearest hundredth, you look to the thousandths place to see whether the hundredths place rounds up or down.
0.04 is already at the hundredths place so the thousandths place is zero... the answer to the nearest hundredth is 0.04.
For 0.2%, you have to convert the percentage to a decimal by dividing by 100 (move the decimal 2 places to the left).
0.2% = 0.002
So now to round to the nearest hundredth, we look to the thousandths place. The thousandths place has a 2 in it so the hundredths place rounds down. 0.2% total he nearest hundredth is 0.
