Given :
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.
To Find :
How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.
Solution :
Mass of copper in 50 gm alloy =
.
Mass of copper in 78 gm alloy =
.
Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.
Percentage of copper in resulting mixture :

Hence, this is the required solution.
Answer:
a=5/2 a=2.5
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
82.8 in²
Step-by-step explanation:
The surface area a triangular based pyramid :
Base area + 1/2(perimeter * slant height)
Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches
Base area of triangle :
1/2 * base * height
1/2 * 8 * 6.9
4 * 6.9
Base area = 27.6 in²
The perimeter, P = sum of sides ; (s1 + s2 + s3
P = 8 + 8 + 8 = 24 in
Hence,
Surface area = 27.6 in² + 1/2(24*4.6)
Surface area = 27.6 in² + (12 * 4.6) in²
Surface area = (27.6 + 55.2)
Surface area = 82.8 in²
Answer:
28 square units
Step-by-step explanation:
These vertices are written in the form of their x and y coordinates. Let
A=(1,2) ; B =(1,-5) ; C =(5, -5) ; D=(5,2)
The x points are 1, 1, 5, 5
The y points are 2,-5, -5, 2
The x extremes range from 1 to 5. The length in-between is 5-1 = 4
The y extremes range from -5 to 2. The length in-between is 2-(-5) = 7
Area of the polygon enclosed by the coordinates
= 4 x 7 = 28 square units