9514 1404 393
Answer:
?° = 153°
Step-by-step explanation:
The measure of an arc is the same as the measure of the central angle it subtends. The arc is marked 153°. The central angle (?°) has that same measure.
?° = 153°
The total weight of candies is unknown. Let x = the total weight of candies.
"One student ate 3/20 of all candies and another 1.2 lb":
The first student ate (3/20)x plus 1.2 lb which is 0.15x + 1.2.
"The second student ate 3/5 of the candies and the remaining 0.3 lb."
The second student ate (3/5)x and 0.3 lb which is 0.6x + 0.3.
Altogether the 2 students ate 0.15x + 1.2 + 0.6x + 0.3.
That was all the amount of candies, so that sum equals x.
0.15x + 1.2 + 0.6x + 0.3 = x
Now we solve the equation for x to find what the total amount of candies was.
0.75x + 1.5 = x
-0.25x = -1.5
x = 6
The total amount of candies was 6 lb.
The first student ate 0.15x + 1.2 = 0.15(6) + 1.2 = 0.9 + 1.2 = 2.1, or 2.1 lb of candies.
The second student ate 0.6x + 0.3 = 0.6(6) + 0.3 = 3.6 + 0.3 = 3.9, or 3.9 lb of candies.
Answer: The first student ate 2.1 lb of candies, and the second student ate 3.9 lb of candies.
The answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4 
Step-by-step explanation:
To simplify
.
Using exponential law the exponents of variables will be added when multiplied as per rule
we get
![\frac{4[(2^4)(x^{3\times 4}) ( y^{4\times4} )] }{2[(2^3)(x^{2\times3} ) (y^{6\times3} )]}\\](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%282%5E4%29%28x%5E%7B3%5Ctimes%204%7D%29%20%28%20y%5E%7B4%5Ctimes4%7D%20%29%5D%20%7D%7B2%5B%282%5E3%29%28x%5E%7B2%5Ctimes3%7D%20%29%20%28y%5E%7B6%5Ctimes3%7D%20%29%5D%7D%5C%5C)
![\frac{4[(16)(x^{12}) ( y^{16} )] }{2[(8)(x^{6} ) (y^{18} )]}\\\\\frac{64x^{12}y^{16} }{16 x^{6}y^{18} }](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%2816%29%28x%5E%7B12%7D%29%20%28%20y%5E%7B16%7D%20%29%5D%20%7D%7B2%5B%288%29%28x%5E%7B6%7D%20%29%20%28y%5E%7B18%7D%20%29%5D%7D%5C%5C%5C%5C%5Cfrac%7B64x%5E%7B12%7Dy%5E%7B16%7D%20%20%7D%7B16%20x%5E%7B6%7Dy%5E%7B18%7D%20%20%7D)
Now by dividing according to exponential rule the exponents of variables will be subtracted as per rule
So the answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4
Keywords: Algebra
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Answer: The second answer
Step-by-step explanation:
Setting them equal to whatever the perimeter is
