Answer:
x=10
Step-by-step explanation:
P+S=140
(5x+30)+80=140
5x+30=80
5x=50
x=10
In partial-quotients<span> division, it takes several steps to find the </span>quotient<span>. At each step, you find a </span>partial<span> answer (called a </span>partial quotient); then you find the product of thepartial quotient<span> and divisor and subtract it from the dividend. Finally, you add all the</span>partial quotients<span> to find the final </span>quotient<span>.</span>
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For this question, we can use proportional reasoning to find out the answer.
Let us call the point at the other end of line and in between the two expressions, D.
Side AB:AC = BD:DC (remember that ratios are the same as division so you can do the exact same thing with division statements instead).
Now substitute: 8:12 = (x+4):(2x+1).
Now solve (if using division instead of ratios, solve regularily for x):
8:12 = (x+4):(2x+1),
8(2x+1) = 12(x+4),
16x+8 = 12x+48,
16x-12x = 48-8,
4x = 40,
x = 10.
Therefore x = 10
