Answer:
Step-by-step explanation:
GIVEN: A fence is to be built to enclose a rectangular area of square feet. The fence along three sides is to be made of material that costs dollars per foot, and the material for the fourth side costs dollars per foot.
TO FIND: Find the dimensions of the enclosure that is most economical to construct.
SOLUTION:
Area of rectangular fence
let the length of fence
let the width of fence
let be the smaller side
Area of rectangular fence enclosure
cost of fence along three sides
cost of fence along fourth side
length of fence
cost of fence building
putting value of
to find minimum value differentiating the equation
Hence the dimensions of the enclosure that is most economical to construct are and
Fractions are the part/whole. We can set this up to be...
3/5 = 756
756 x5/3 = 1260.
if she had 1260 to begin with and spent 756, she would have 504.00 left.
C is your answer in figures. one million and one hundred and ten thousand dollars
The answer should be 12.2
7^2+10^2=c^2
49+100=c^2
149=c^2
12.2=c
Answer:
The jeweler made 11 bracelets and 7 necklaces.
Step-by-step explanation:
Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:
(16 - 6) x 7 = 70
178 - 70 = 108
108/6 = 18
18 - 7 = 11
(11 x 6) + (7 x 16) = X
66 + 112 = X
178 = X
Thus, the jeweler made 11 bracelets and 7 necklaces.