Answer:
6 * 42 = 6 * (20 + 22)
= (6 * 20) + (6 * 22) = 120 + 132 = 252
Step-by-step explanation:
Here, we want to multiply 6 by 42 using distributive property
In this case, we can have the distributive property as;
a * ( b + c) = ab + bc
Thus, we can represent 42 as (20 + 22)
so 6 * 42 becomes 6 * (20 + 22)
Using the distributive property, we have
(6 * 20) + (6 * 22)
= 120 + 132 = 252
A because it’s a binomial
My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution)
in simple terms: %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x) simplify/ distribute
0.6x + 12 = 25 +0.5x get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13 divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
Answer:
idk
Step-by-step explanation:
