Answer:

Step-by-step explanation:
1. take 10 times a and get 10a and put in the numerator spot of your answer
2. then do 15 times 20 which is 300 so add 300 to 10a in the numerator spot of your answer
3. multiple 20 times 10 which is 200 and make it your denominator of your answer
This method is called the butterfly method
Answer:
JO !
Step-by-step explanation:
get he exponet out the way
\
that leaves you with 3+4x1
do 4x 1 that equals 4
3+ 4 = 7
Work shown above! Answer is
a = 5 b = -2 c = 0
14 karat gold is 58.3333...% gold
We have 75% gold and 50% gold and we need to make 200 grams of 58.3333...% gold.
A) x + y = 200
B) .75x + .50y = ( (14/24) * 200)
We multiply equation B) by -1.3333... and get
B) -x -.6666...y = -155.5555... then adding A)
A) x + y = 200 we get
.3333...y = 44.4444...
y = 133.3333... grams 12 karat gold
x = 66.6666... grams 18 karat gold
Double-Checking the answer
133.3333... * .5 = 66.6666...
66.6666 * .75 = 50.0000...
Concentration of final solution = (66.6666... + 50) / 200 = 58.3333...% which is 14 karat gold
(6,-9) would be the vertex and it is a minimum. :)