1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lapo4ka [179]
3 years ago
12

For thousands of​ years, gold has been considered one of the​ earth's most precious metals. one hundred percent pure gold is​24-

karat gold, which is too soft to be made into jewelry. most gold jewelry is​ 14-karat gold, approximately​ 58% gold. if​ 18-karat gold is​ 75% gold and​ 12-karat gold is​ 50% gold, how much of each should be used to make a​ 14-karat gold bracelet weighing 200 ​grams?
Mathematics
1 answer:
Leona [35]3 years ago
6 0
14 karat gold is 58.3333...% gold
We have 75% gold and 50% gold and we need to make 200 grams of 58.3333...% gold.

A) x + y = 200

B) .75x + .50y = ( (14/24) * 200)
We multiply equation B) by -1.3333... and get
B) -x -.6666...y = -155.5555... then adding A)
A) x + y = 200  we get

.3333...y = 44.4444...

y = 133.3333... grams 12 karat gold
x = 66.6666... grams  18 karat gold

Double-Checking the answer
133.3333... * .5 = 66.6666...
66.6666 * .75 = 50.0000...

Concentration of final solution = (66.6666... + 50) / 200 = 58.3333...% which is 14 karat gold


You might be interested in
Answers for both boxes please ​
sleet_krkn [62]

Answer:

x = -5  y = -3

Step-by-step explanation:

-3x + 2y = 9

multiply the 2nd equation by 3 to set it up for elimination

3(x - 3y)= 3(4)

3x-9y = 12

so now combine both to add

-3x + 2y = 9

3x - 9y = 12

Adding both gives you

-7y = 21

divide both by -7 and you get

y = -3

and you substitute y back into equation to get x

x - 3 (-3) = 4   gives you

x + 9 = 4

x = 4 - 9

x = -5

7 0
2 years ago
12.
g100num [7]

Answer:

Step-by-step explanation:

tan^{-1} (\frac{\sqrt{3} }{3} )=x\\tan x=\frac{\sqrt{3} }{3} =tan (\frac{\pi}{6} )\\x=\frac{\pi}{6}

7 0
2 years ago
The heights of four boys measured 152.0cm, 150.75cm, 149.5cm and 149.25cm. Bradley is the tallest, Calvin is taller than Josh, b
nataly862011 [7]
I believe the answer would be 150.75 cm as Marks height. I got this by if Bradley is the tallest, he would be 152.0 and if Calvin is taller than Josh, who is the shortest, the only height left would be Marks at 150.75
3 0
3 years ago
-5(-x - 1) + 4x – 1= 49<br> solve for x
Anton [14]

Answer:

x=5

Step-by-step explanation:

-5(-x - 1) + 4x – 1= 49

Distribute

5x +5 +4x -1 = 49

Combine like terms

9x +4 = 49

Subtract 4 from each side

9x+4-4 = 49-4

9x = 45

Divide by 9

9x/9 =45/9

x = 5

4 0
3 years ago
Read 2 more answers
What is the answers to this problem? Please help!!
Allushta [10]

Answer:

a = 31.7

c = 39.1

Step-by-step explanation:

tan54 = a / 23

a = 23 * tg54

a = 31.7

sin54 = 31.7 / c

c = 31.7 / sin54

c = 39.1

:)

5 0
2 years ago
Other questions:
  • Your favorite soccer player scored one goal after taking five shots on goal. What is the experimental probability that he will s
    5·2 answers
  • Draw the image of &lt;EFG after the transformation. identify the type of transformation
    12·1 answer
  • Write the slope-intercept form of the equation of each line given the slope and y-intercept
    14·1 answer
  • How to work it out and get it right
    8·1 answer
  • 38. Solve the simultaneous equations<br>3x + 4y = 11, x + 6y = 13.<br>​
    7·2 answers
  • A 64-inch board is cut into three pieces so that the second piece is twice as long as the first piece, and the third
    8·1 answer
  • SELECT ALL THAT APPLY
    7·2 answers
  • Emily and Mike are sister and brother. Emily has twice as many brothers as sisters, and Mike has as many brothers as sisters. Ho
    10·1 answer
  • If it takes 4 years for an animal population to double, how many years will it take until the population triples?
    5·2 answers
  • What number can be divided into 2 equal groups whit out a reminder
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!