Answer:
a. The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces.
b. The value of the gold in each necklace is $1761
Step-by-step explanation:
(a) Number of necklaces
2
ounces of gold=2.875
No of necklaces=212.75oz x 1 necklaces/2.875oz
=74 necklaces
(b)Value of gold in each necklace
There are 2.875 oz of 14K gold in each necklace. Pure gold is 24K.
Mass of pure gold=2.875oz x 14k/24k
=1.677083oz
Pure 24K gold is worth $1050/oz.
Value of pure gold=1.677oz x 1050/1oz
= 1760.9 dollars
The value of the gold in each necklace is $1761
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Answer:
Step-by-step explanation:
Let x represent the length of the rectangle. The the width is (4x+2) and the area is ...
x(4x+2) = 342
2x² +x - 171 = 0 . . . . . divide by 2, rearrange to standard form
(2x +19)(x -9) = 0 . . . factor
x = -19/2 or +9 . . . . . the length is the positive solution: 9
(4x+2) = 4(9) +2 = 38 . . . . find the width from the length
The length of the rectangle is 9 meters. The width is 38 meters.
Answer:
m = 5
Step-by-step explanation:
5 - 2 * (m - 3) = 1
5 - 2m + 6 = 1
-2m + 11 = 1
-2m = -10
2m = 10
m = 5