kaseykrueger47
27.07.2019 •
Mathematics
The price of diamond varies directly as square of its weight. the price of a 12 decigrams diamond is $7200. if diamond breaks into two pieces whose weights are in the ratio 3: 1, find the loss incurred.
Solved
Show answers
More tips
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
- H Health and Medicine 10 Tips for Avoiding Vitamin Deficiency...
- F Food and Cooking How to Properly Cook Buckwheat?...
Answers on questions: Mathematics
- M Mathematics Mina put $1,500 into her savings account in February. In March, she put twice as much money into her savings account as she put in February. Which expression could...
- M Mathematics Li ( ly + sa ) = ? What property is used ?...
- M Mathematics N - 5 x 4 write an expression for the output if the input is N...
- M Mathematics Plain shapes having two measurements like length and breadth are called....
- M Mathematics Select first 10 items statistics what kind of smaple...
- M Mathematics In what ways do leaders impact their own civilizations...
- M Mathematics each trapezoid in the figure below is congruent to trapezoid abdc. what is the perimeter of hexagon acefgh? 28 cm 32 cm 36 cm 64 cm...
- M Mathematics Is 20,25,30 a right triangle? I will mark the CORRECT answer Brainiest....
- M Mathematics Why do acid-base titrations have different ph at equivalence point?...
- M Mathematics How to calculate critical value from test statistic...
Ответ:
Let the price of the diamond be y and the weight be x.
General equation for y varies directly as square root of x
y = kx², where k is a constant
Find the constant k
when x = 12, y = 7200
7200 = k(12)²
7200 = 144k
k = 7200 ÷ 144
k = 50
Substitute k into the equation
y = 50x²
Calculate the weight of the two broken diamonds
The diamond is broken into 3:1
3 + 1 = 4
4 shares = 12
1 share = 12 ÷ 4
1 share = 3 decigrams
3 shares = 3 x 3
3 shares = 9 decigrams
Ratio 1 : 3 = 3 decigrams : 9 decigrams
Find price of the of the 3 decigrams
y = 50(3)²
y = $450
Find the price of the 9 decigrams
y = 50(9)²
y = $4050
Total price of the 3 decigrams and the 9 decigrams
$450 + $4050 = $4500
Lost incurred
$7200 - $4500 = $2700
The lost incurred is $2700
Ответ: