<h3>
Answer: choice C) 15</h3>
Simplify the left side to get
2(4+x)+(13+x)
2(4)+2(x) +13+x
8+2x+13+x
3x+21
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So the original equation
2(4+x)+(13+x) = 3x+k
turns into
3x+21 = 3x+k
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Subtract 3x from both sides
3x+21 = 3x+k
3x+21-3x = 3x+k-3x
21 = k
k = 21
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If k = 21, then the original equation will have infinitely many solutions. This is because we will end up with 3x+21 on both sides, leading to 0 = 0 after getting everything to one side. This is a true equation no matter what x happens to be.
If k is some fixed number other than 21, then there will be no solutions. This equation is inconsistent (one side says one thing, the other side says something different). If k = 15, then
3x+21 = 3x+k
3x+21 = 3x+15
21 = 15 .... subtract 3x from both sides
The last equation is false, so there are no solutions here.
note: if you replace k with a variable term, then there will be exactly one solution.
Hello: <span>
<span> an equation is : y =ax+b ( a is a slope )
parallel to the line (q) : y=6/5x-1 a =6/5 ( same slope
)
the equation of (r) : is : y = 6/5x+b</span></span>
the line through point (5,5) :
5= (6/5)(5)+b ...b=-1
an equation of (r) : is : y = 6/5x-1
or : 6/5x-y = 1
Let x be the value of the his purchases without the discount. The $64 is the value of the 32% discount.
64 = 0.32x ; x = 200
Thus, he should have paid $200 if there was no discount. The amount he paid (p) is only 68% of this value. p = (0.68)(200) = 136. Hence, he paid only $136.
If you would like to know what percent of 100 is 30, you can calculate this using the following steps:
x% of 100 is 30
x% * 100 = 30
x/100 * 100 = 30
x = 30%
The correct result would be a. 30%.