12 - x = 20 - 5x
You see that -x and -5x both have an 'x' variable? This means they are 'like' terms. To get -x to the other side, we must add (if like terms are on opposite sides, do the opposite of what the sign says, e.g. - will be +)
12 = 20 - 4x
Now move 20 to the other side. Remember, do the opposite! Since 20 is positive, we must minus 20 to the other side.
-8 = -4x
To get x by itself, you will need to get rid of the coefficient of -4. -4x basically means -4 times x, so the opposite of that would be divide! Divide by -4
2 = x (Since both sides have a negative, they cancel out to give a positive)
x = 2
Answer:
A typical mixture equation
:
x + .10(54-x) = .20(54)
x + 5.4 - .10x = 10.8
x - .1x = 10.8 - 5.4
.9x = 5.4
x = 5.4%2F.9
x = 6 L of pure acid to be combined with: 54-6 = 48 L of 10% solution
Step-by-step explanation:
does this help?
1) (3.8 * 10^3) * (9.4 * 10^-5) = 0.3572 = 3.6 * 10^-1
2) (4.2 * 10^7) * (7.4 * 10^-2) = 3.1 * 10^6
3) (8.6 * 10^-6) * (7.1 * 10^9) / (4.1 * 10^ -2) * ( 2.8 * 10 ^-7) = 5.3 * 10^-6
4) 4.2 * 10^-1
Sorry for not putting my work for number 4. Hope this helps!
Answer:
Each muffin= 1.5; Each quart of milk= 3
Step-by-step explanation:
Let m represent muffins and q quarts of milk, so
8m+2q=18
3m+1q=7.50
*solve*
3m+1q=7.5
-1q -1q
3m=-1q+7.5
/3 /3 /3
m=-1/3q+2.5
*replace for m*
8(-1/3q+2.5)+2q=18
-2 2/3q+20+2q=18
-2/3q+20=18
-20 -20
-2/3q=-2
/-2/3 /-2/3
q=3
*replace to find m*
3m+1(3)=7.50
3m+3=7.5
-3 -3
3m=4.5
/3 /3
m=1.5
*replace to verify*
8m+2q=18
8(1.5)+2(3)=18
12+6=18
18=18
3m+1q=7.50
3(1.5)+1(3)=7.5
4.5+3=7.5
7.5=7.5
Answer:
Step-by-step explanation:
