Answer:
Step-by-step explanation:
hello :
y= 5x + 9
y = -x +3
so : 5x+9 = -x+3
5x+x= 3-9
6x=-6
x=-6/6 = -1
Answer:
x = 2
Step-by-step explanation:
Step 1: Convert to math
5x + 1 = 3x + 5
Step 2: Solve for <em>x</em>
- Subtract 4x on both sides: 2x + 1 = 5
- Subtract 1 on both sides: 2x = 4
- Divide both sides by 2: x = 2
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5(2) + 1 = 3(2) + 5
10 + 1 = 6 + 5
11 = 11
Does it say if the angles are congruent?
I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
You would turn 52 into a percent =.52 and then do 182÷52
with would equal 350
