9514 1404 393
Answer:
- 76.71 quarts of sparkling water
- 23.29 quarts of grape juice
Step-by-step explanation:
The ratio of sparkling water to total volume is ...
water : juice = 112 : 34
water : total volume = water : (water +juice) = 112 : (112 +34) = 112/146
Then the amount of 100 quarts of sparkling grape juice that is sparkling water will be ...
water/total = w/100 = 112/146
w = 100(112/146) ≈ 76.71 . . . . quarts of sparkling water
j = 100 -w = 23.29 . . . . . . . . . quarts of grape juice
Answer:
$250
Step-by-step explanation:
discounting 15 percent is the same as marking something for 85 percent. This is the same as multiplying by .85
set up equation and solve
.85x=212.50
x=250
To square something, you multiply a number by itself.
So the square of 1.1 is
which is equal to 1.21
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
