Answer:
x = 40
Step-by-step explanation:
The three angles in a triangle add to 180 degrees
x + 30 + (3x-10) = 180
Combine like terms
4x +20 = 180
Subtract 20 from each side
4x+20-20 = 180-20
4x= 160
Divide each side by 4
4x/4 =160/4
x = 40
16/20. We reduce that and get 4/5.
After this it's much simpler to chage it.
100 dividied by 5 is 20. (20,40,60,80,100)
So the 4th number (4/100)
is 80. 80%.
20% she didn't and 80% she did :) (100-80)
C.) 0.0001 is a power of ten
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
For this type of question, you just need to multiply the percentage with the number
so, the calculation would be
47.2% x 300
47.2/100 x 300
47.2 x 3
= 141.6
