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:
-279.63
Step-by-step explanation:
Tim spends 1/3 each weekday sleeping and 7/24 in school. We can write 1/3 as 8/24 so we have a common denominator. Now we can see that Tim sleeps for 1/24 time of a weekday more then he spends in school.
I hope that's what you meant.
9*16-132/6=122...........
Answer:
One variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.
Step-by-step explanation:
lets assume the variable for total daily allowance
lets say total daily allowance of fat = x grams
Fat consumed at dinner = 48 grams
Fat consumed at dinner in percentage = (Fat consumed at dinner/total daily allowance of fat) × 100
= (48 grams/x grams)×100=(4800/x)%
so (4800/x)%
So one variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.
lets take one example
lets says total daily allowance of fat for Emily = 100gm
so from derived equation that is 4800/x , we can get required percentage by putting x = total daily allowance of fat = 100gm
=4800/100 = 48%.
you can change value of variable x according to total daily allowance and get the required dinner intake percentage by equation 4800/x.
