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
expression represents the area of Dylan’s room
<h3><u>
Solution:</u></h3>
Given that,
Length of room = 
Width of room = 
To find: Expression that the area (lw) of Dylan’s room
Since bedroom is generally of rectangular shape, we can use area of rectangle
<em><u>The area of rectangle is given as:</u></em>
Substituting the given expressions of length and width,
We multiply each term inside first parenthesis with each term inside the second parenthesis.
So it becomes,
Now combine like terms,
Thus the above expression represents the area of Dylan’s room
Answer:
a = -2(2x+1)-4
Step-by-step explanation:
1. Factor out the common term x.
x(4+a)= -2x(2x+1)
2. Cancel x on both sides.
4+a= -2(2x+1)
3. Subtract 4 from both sides.
a= -2(2x+1)-4
Answer:
x = -31/4
Step-by-step explanation:
3(2x+5) = 2(x-8)
or, 6x+15 = 2x-16
or, 6x-2x = -16-15
or, 4x = -31
or, x = -31/4
