Answer:
The weight of the zinc in the metal bar was 50% of the weight of the metal bar .
Step-by-step explanation:
Weight of the metal bar ,M= 36 g
Weight of the zinc in the metal bar , m= 18 g
Percentage of zinc in the metal bar :
![=\frac{m}{M}\times 100](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bm%7D%7BM%7D%5Ctimes%20100)
![=\frac{18 g}{36 g}\times 100=50\%](https://tex.z-dn.net/?f=%3D%5Cfrac%7B18%20g%7D%7B36%20g%7D%5Ctimes%20100%3D50%5C%25)
The weight of the zinc in the metal bar was 50% of the weight of the metal bar .
12
6 possible outcomes for each side of the coin
Answer:
Simplifying
4x + 9 = 12x + -3
Reorder the terms:
9 + 4x = 12x + -3
Reorder the terms:
9 + 4x = -3 + 12x
Solving
9 + 4x = -3 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
9 + 4x + -12x = -3 + 12x + -12x
Combine like terms: 4x + -12x = -8x
9 + -8x = -3 + 12x + -12x
Combine like terms: 12x + -12x = 0
9 + -8x = -3 + 0
9 + -8x = -3
Add '-9' to each side of the equation.
9 + -9 + -8x = -3 + -9
Combine like terms: 9 + -9 = 0
0 + -8x = -3 + -9
-8x = -3 + -9
Combine like terms: -3 + -9 = -12
-8x = -12
Divide each side by '-8'.
x = 1.5
Simplifying
x = 1.5
Step-by-step explanation:
<h3>
Answer: angle EBD = 50 degrees</h3>
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Explanation:
BD bisects angle EBC
This means the angle EBC is broken up into two smaller equal pieces angle EBD and angle DBC
So,
angle DBC = angle EBD
7x+8 = 5x+20
7x-5x = 20-8
2x = 12
x = 12/2
x = 6
Now that we know x, we can find each angle
angle DBC = 7x+8
angle DBC = 7*6+8
angle DBC = 42+8
angle DBC = 50 degrees
and
angle EBD = 5x+20
angle EBD = 5*6+20
angle EBD = 30+20
angle EBD = 50 degrees
Both angles are 50 degrees, to this confirms our answer.