Answer:
66 gallons
Step-by-step explanation:
Given that initially 160 gallons of a solution containing 12% salt.
So, the initial amount of salt = 12% of 160 = 12/100 x 160 = 19.2 gallons.
Let x gallons of water get evaporated so that the remaining solution contains 20% salt.
The remaining amount of solution = 160-x gallons.
As the initial amount of salt is still in the solution which is equal to 20% of the remaining solution, so
19.2 = 20% of (160-x)
gallons
Hence, 66 gallons of water must be evaporated to get a 20% salt solution.
Answer:
Ivory is not correct.
Step-by-step explanation:
Ivory is not correct because of the way the first equation is treated. Ivory thinks 2x+2 can be double of what x+1 is. However, x can be anything, even 0. If we replace x with 0 in 2x+2, that would leave 2x = 0, and adding 2 would equal 2. If we look at x+1, we can add 1 to x and would equal 2. So Ivory is not correct, there is many equations other than this one that can equal.
SHORT ANSWER: 84cm
Let width = w
Let length = w + 5
The area of a rectangle is found by multiplying its width by length and the problem states that the area is 84 cm2.
(Width)(Length) = 84
(w)(w + 5) = 84
w2 + 5w = 84
w2 + 5w - 84 = 0
(w + 12)(w -7) = 0
w + 12 = 0
w = -12
The width of a rectangle can't be NEGATIVE!!! Forget about that!
w - 7 = 0
w = 7
Now go back to naming the variables and replace the w with 7.
Length = w + 5 = 7 + 5 = 12
Width is 7 cm. Length is 12 cm.
Check it. Is 7 x 12 = 84? Yes.
Answer:
x=14
Step-by-step explanation:
6(-6+x)=76-2x
Distribute
-36 +6x = 76 -2x
Add 2x to each side
-36+6x+2x = 76-2x+2x
-36 +8x = 76
Add 36 to each side
-36+36 +8x = 76+36
8x = 112
Divide by 8
8x/8 = 112/8
x=14
Step-by-step explanation:
Red=4
Blue=3
Yellow=3
Total=10
Pr(BY) without replacement= 3/10 *3/9
=6/90
=1/15
