Answer:
30 gallons of 20% acid solution should be mixed.
Step-by-step explanation:
Let x gallons of a 20% acid solution was mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solution.
Therefore, final volume of the solution will be (x + 30) gallons.
Now concept to solve this question is
20%.(x) + 40%.(30) = 30%.(x + 30)
0.20(x) + 0.40(30) = 0.30(x + 30)
0.20x + 12 = 0.30x + 9
0.30x - 0.20x = 12 - 9
.10x = 3
x =
x = 30 gallons
Therefore, 30 gallons of the 20% acid solution should be mixed.
Answer:
<u>David will have the most cookies and he will have two cookies more than Jake</u>
Step-by-step explanation:
1. Let's calculate how many cookies will David cut with his cutter, this way:
Number of cookies = Rolls of cookie dough/Size of the segment
Replacing with the values we know:
Number of cookies = 2/(1/8)
Number of cookies = 16
2. Let's calculate how many cookies will Jake cut with his cutter, this way:
Number of cookies = Rolls of cookie dough/Size of the segment
Replacing with the values we know:
Number of cookies = 2/(1/7)
Number of cookies = 14
<u>David will have the most cookies and he will have two cookies more than Jake</u>
Answer:
12 units
Step-by-step explanation:
base is x
one of the legs measure 4x-6
therefore, perimeter is equal to
2 (4x - 6) + x = 96
8x - 12 + x = 96
9x = 96 + 12
9x = 108
x = 108/9 = 12 units
Part A
5x - 5 >= 10 or-3x + 1 > 13
1) This is a disjunction (OR)
5x - 5 >= 10
5x >= 15
x >= 3
or
-3x + 1 > 13
-3x > 12
x < -4
Answer
x <- 4 or x >= 3
Part C:
1) This is a conjunction (And)
5x+ 3 <= 18 and 4 - x < 6
5x <= 15 and - x < 2
x <= 3 and x > -2
Answer
-2 < x <= 3
Answer:
Step-by-step explanation:
So 8 times more than 2/3