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
Schach [20]
3 years ago
10

How many grams of an alloy containing 25% silver should be melted with 50 grams of an alloy containing 60% silver in order to ob

tain an alloy containing 50% silver?
Mathematics
1 answer:
Kipish [7]3 years ago
7 0

Answer:

20 grams of an alloy containing 25% silver has to be melted with 50 grams of an alloy containing 60% silver to obtain a final alloy containing 50% silver

Step-by-step explanation:

Hi

We define

A_{a}=50g @ 60\%, wich means alloy a has 50 grams containing 60% silver.

A_{b}=xg @ 25\%, wich means alloy b has x grams containing 25% silver.

So we can build an equiation 50 \times 0.60+x \times 0.25=\frac{1}{2}(50+x), as half of the final alloy has to be silver. Then solving for x

30+0.25x=25+0.5x\\30-25=0.5x-0.25x\\5=0.25x\\x=\frac{5}{0.25}=20

Wich means 20 grams of an alloy containing 25% silver (A_{b}) has to be melted with 50 grams of an alloy containing 60% silver (A_{a}) to obtain a final alloy containing 50% silver.

You might be interested in
I don't know to find the answer to 8. Can someone explain to me?
lapo4ka [179]
Perhaps the easiest way to find the midpoint between two given points is to average their coordinates: add them up and divide by 2.

A) The midpoint C' of AB is
.. (A +B)/2 = ((0, 0) +(m, n))/2 = ((0 +m)/2, (0 +n)/2) = (m/2, n/2) = C'
The midpoint B' is
.. (A +C)/2 = ((0, 0) +(p, 0))/2 = (p/2, 0) = B'
The midpoint A' is
.. (B +C)/2 = ((m, n) +(p, 0))/2 = ((m+p)/2, n/2) = A'

B) The slope of the line between (x1, y1) and (x2, y2) is given by
.. slope = (y2 -y1)/(x2 -x1)
Using the values for A and A', we have
.. slope = (n/2 -0)/((m+p)/2 -0) = n/(m+p)

C) We know the line goes through A = (0, 0), so we can write the point-slope form of the equation for AA' as
.. y -0 = (n/(m+p))*(x -0)
.. y = n*x/(m+p)

D) To show the point lies on the line, we can substitute its coordinates for x and y and see if we get something that looks true.
.. (x, y) = ((m+p)/3, n/3)
Putting these into our equation, we have
.. n/3 = n*((m+p)/3)/(m+p)
The expression on the right has factors of (m+p) that cancel*, so we end up with
.. n/3 = n/3 . . . . . . . true for any n

_____
* The only constraint is that (m+p) ≠ 0. Since m and p are both in the first quadrant, their sum must be non-zero and this constraint is satisfied.

The purpose of the exercise is to show that all three medians of a triangle intersect in a single point.
7 0
2 years ago
A contradiction has no solutions. True or False?
Eddi Din [679]

Answer:

false

Step-by-step explanation:

6 0
3 years ago
Wendy has $27 to buy seed for her birdfeeders. Each bag of seed costs $5.
Alekssandra [29.7K]

Answer:

5

Step-by-step explanation:

If Wendy has $27 to buy seeds, and each seed bag costs $5, then:

5 · 5 = 25

5 · 6 = 30

27<30

27>25

So, Wendy is able to buy 5 bags and remain with 2 dollars.

5 0
2 years ago
Read 2 more answers
SOMEONE PLEASE HELP WILL MARK BRAINLIEST
Mashutka [201]

Radical form for 112 would be 4{7 and then I think you can just search up how to reduce the 4 to 7 i don’t have the symbol btw
4 0
3 years ago
Solve the compound inequality. graph the solution
Juli2301 [7.4K]
-2 <= 2x - 4 < 4
-2 + 4 <= 2x < 4 + 4
2 <= 2x < 8
2/2 <= x < 8/2
1 <= x < 4
5 0
2 years ago
Other questions:
  • A rectangle is 4 times as long as it is wide. If the length is increased by 4 inches and the width is decreased by 1 inch, the a
    13·2 answers
  • Find the product.
    8·1 answer
  • A falling stone is at a certain instant 250 feet above the ground and 3 seconds later it is only 10 feet above the ground. From
    14·1 answer
  • Determine the largest interval of the form a
    7·1 answer
  • I NEED MAJOR HELP ON THIS PLEASE
    5·1 answer
  • Please help me !!!!!!!!
    7·1 answer
  • Can somebody please help me and explain a bit, it's for a test grade :(
    13·1 answer
  • PLEASE HELPP i’ll mark u brainliest
    15·1 answer
  • 11. The student government is selling flowers for homecoming. The project costs them $20 for advertising and
    6·1 answer
  • Write a sine and cosine function that models the data in the table. I need steps to both the sine and cosine functions for a, b,
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!