Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.
So answers 1. and 3. are correct.
<em>Thanks Associative Property!</em>
Answer:
756 m²
Step-by-step explanation:
I just know the answer XD
The questions that are 1-6 above:
Use the term
P- Parenthesis
E- Exponents
M-Multiplying
D-Dividing
A- Addition
S-Subtraction
Do the equations from that order doing Parenthesis first, Exponents second, etc.
If there's none of one of the operations, skip to the next one. Remember to solve the equation starting from parenthesis and then going down the order.
Sorry I can't help you with the bottom 1-6 Good luck
