Tutors Answer Your Questions about Metalworking (FREE)
Question 1173513: A metalworker has a metal alloy that is 20​% copper and another alloy that is 70​% copper. How many kilograms of each alloy should the metalworker combine to create 80kg of a 60​% copper​ alloy
Found 2 solutions by greenestamps, Solver92311:
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
If a formal algebraic solution is not required, try this quick and easy method for solving 2-part "mixture" problems like this:
You are mixing 20% copper with 70% copper to get 60% copper.
60% is 40/50 = 4/5 of the way from 20% to 70%. (picture the three percentages on a number line, if it helps....)
That means 4/5 of the mixture is the higher percentage alloy.
ANSWER: 4/5 of 80kg, or 64kg, of 70% copper; the other 16kg of 20% copper.
CHECK:
.70(64)+.20(16) = 44.8+3.2 = 48
.60(80) = 48
Answer by Solver92311(821)  (Show Source):
Question 1172831: Trevor and Marissa together have 26 T-shirts to sell. If Marissa has 6 fewer T-shirts than Trevor, find how many T-shirts Trevor has. Use x as your variable.
Answer by ikleyn(52788)  (Show Source):
Question 1164565: y=(x5/ex
Answer by ikleyn(52788) (Show Source):
Question 1146091: During second period, Mia completed a grammar worksheet.
​
​​Of the 60
60
questions, Mia got 80%
80
%
right.
​
​How many questions did Mia get right?
Answer by ikleyn(52788) (Show Source):
Question 1101806: the mass of the mixture A of the beans and maize is 72kg. the ratio of beans to maize is 3:5 respectively.
a)find the mass of the maize in the mixture.
b)a second mixture B of beans and maize of mass 98kg is mixed with A . the final ratio of beans to maize is 8 : 9 respectively. find the ratio of beans to maize in B ?
Answer by jorel1380(3719)  (Show Source):
You can put this solution on YOUR website! a)Let n be the common factor in the ratio 3:5. Then:
3n+5n=72
8n=72
n=9
3n=27 kg beans
5n=45 kg maize
b)98+72=170
8n+9n=170
n=10
Final mixture:
80 kgs beans
90 kgs maize
80-27=53
90-45=45
The ratio of mixture B is 53:45
☺☺☺☺
Question 1054560: A pipe must be bent to provide a 4ft rise in a 3ft horizontal distance. Find angle a.
Answer by ikleyn(52788) (Show Source):
Question 1025203: A metal alloy is 25% copper. Another metal alloy is 50% copper. How many grams of the 50% copper alloy should be used to make 1000 grams of a metal alloy that is 45% copper ?
Answer by mathmate(429)  (Show Source):
You can put this solution on YOUR website!
Question:
A metal alloy is 25% copper. Another metal alloy is 50% copper. How many grams of the 50% copper alloy should be used to make 1000 grams of a metal alloy that is 45% copper ?
Solution:
The key to answering mixture problems is to calculate the weight of the pure components.
We know the total is 1000 grams, and 50% means 450 grams of pure copper.
Let x=weight of the 50% alloy, then
(1000-x)=weight of the 25% alloy.
Total weight of pure copper
=x(0.50)+(1000-x)(0.25) g
Since we know this weight must be 500 grams, so we equate and solve for x.
x(0.50)+(1000-x)(0.25) = 500
0.5x-0.25x+250=450
0.25x=450-250=200
means
x=200/0.25=800
Answer: 800 grams of the 50% copper alloy will be needed
(hence (1000-800)=200 grams of the 25% alloy.
Question 1001703: If y = x5.ex , differentiate with respect to x
Answer by fractalier(6550)  (Show Source):
Question 979546: dinesh & ramesh can independently complete a price of work in 80 &120 minutes respectively.of they work together,how much time will they take to complete the work ?
Answer by josmiceli(19441)  (Show Source):
Question 979312: If 40-16=2½,then 75-30=2½=100-?=2½ .
Please solve this question sir.
Answer by MathLover1(20850)  (Show Source):
Question 954054: How to work crank and slotted link mechenizem
Answer by Theo(13342)  (Show Source):
Question 862761: If y =
x5.ex
, differentiate with respect to x
Differentiate with respect to x : y =
exsinx
Differentiate with respect to x : y =
x2cosx
If y =
3x2.ex
, diiferentiate with respect to x.
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! If y = x5.ex
differentiate with respect to x
Use ^ (Shift 6) for exponents.
Use * for multiply.
----
It's the product rule
y' = 
You have to know what the derivative of x^5 is, and of e^x.
If you don't, drop the class.
===============================
Differentiate with respect to x : y =
exsinx
Differentiate with respect to x : y =
x2cosx
If y =
3x2.ex
, diiferentiate with respect to x.
Question 862631: If y =
x 4 +5x 3 −4x 2 +7x−2
, differentiate with respect to x .
Answer by Fombitz(32388)  (Show Source):
Question 860206: Find the exact solutions of the given equation in the interval {0,2pi)?
sin x cos2x +cos x sin 2x=0
Answer by Fombitz(32388) (Show Source):
Question 856930: what is a Tautochrone???????????????
Answer by Fombitz(32388) (Show Source):
Question 779489: Each pass through a lumber plane shaves off .015 inch of thickness from a board. How many times must a board originally
.875 inch thick, be run through the planer if a board of thickness .74 inch is desired.
Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website! Let c = count of runs through the planer. Thickness removed for c runs is 0.015c.
Thickness of board if starting 0.875 inches thick is 0.875-0.015c. Wanting the resulting thickness of the board to be 0.74, then makes the statement:
 and you would make a sensible judgement in case c is not a whole number.
Question 775622: aluminum has the FCC crystal structure. Its atomic weight is 26.98g/mole, and its density is 2.70g/cm3. Determine the atomic radius of a single aluminum atom
Answer by psbhowmick(878)  (Show Source):
You can put this solution on YOUR website! This is a problem of Material Science. It requires knowledge of Lattice Structure - BCC, FCC, HCP are some common types of Lattice structures. This forum is for Algebra, not for such engineering problems. If you still need help with this you can contact me privately and with my engineering background I can help you solve it.
Best wishes,
Partha
Question 762239: my brother is two years younger than me. If I gave my sister two years she would be twice my age and if my sister gave my brother one year they would both the same age. How old is each of us?
Answer by josmiceli(19441) (Show Source):
Question 734347: What is the RPM of a Verticle [sic] Wheel if we have following things:
1) Diameter : 6 mtrs
2) Velocity : 130 m/s
3) Volume : 20.4 ltrs/s
4) Flow : 10 Deg to TOP
5) Flow Dis.: 1 mtr above wheel
5) RPM : ?
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! What is the RPM of a Verticle Wheel if we have following things:
1) Diameter : 6 mtrs
2) Velocity : 130 m/s
-----------------------
130 m/sec = 7800 m/minute
---
Rev/min = 7800/(6*pi) = 1300/pi
RPM =~ 413.8
Question 728451: If totally 25 workers working for 7 hours a day completing a particular piece of work in 28 days,in howmany days 20 workers working for 6 hours a day wil complete same work?
Answer by ankor@dixie-net.com(22740)  (Show Source):
You can put this solution on YOUR website! If totally 25 workers working for 7 hours a day completing a particular piece
of work in 28 days, in how many days 20 workers working for 6 hours a day will complete same work?
:
Find number of man-hours required to complete the job.
25*7*28 = 4900 man-hrs
:
let d = number of days required by 20 workers, working 6 hr/day
20*6*d = 4900
120d = 4900
d = 4900/120
d = 40.833 days which is: 40 days + .833(6) = 5 hrs
:
Check this
40*6*20 = 4800 man-hrs
20 * 5 = 100 man-hrs
----------------------
total 4900 man-hrs
Question 717398: The topic is Survery... I am very confused here is the question.
Eric Dangerfield interviewed 140 people in a surban shopping center to find out some of their cooking habits. He obtained the results given at the top of the next column.
58 use microwave, 63 use electric ranges, 58 use gas ranges, 19 microwave ovens and electric ranges, 17 use microwave ovens and gas ranges, 4 use both gas and electric ranges and 1 use all three
a. How many use exactly two of these kinds of appliances?
b. How many use at least two of these kinds of appliances?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Eric Dangerfield interviewed 140 people in a suburban shopping center to find out some of their cooking habits.
He obtained the results given at the top of the next column.
58 use microwave, 63 use electric ranges, 58 use gas ranges, 19 microwave ovens and electric ranges, 17 use microwave ovens and gas ranges, 4 use both gas and electric ranges and 1 use all three
:
a. How many use exactly two of these kinds of appliances?
"19 microwave ovens and electric ranges, 17 use microwave ovens and gas ranges,4 use both gas and electric ranges"
19 + 17 + 4 = 40
:
b. How many use at least two of these kinds of appliances?
"19 microwave ovens and electric ranges, 17 use microwave ovens and gas ranges, 4 use both gas and electric ranges and 1 use all three"
40 + 1 = 41
Question 698492: What is the answer for "u" is this equation:
5.1u-6.6=2.4-0.9u
At first I remembered like families so 5.1u and 0.9u will be together I dont know if Im correct so it will be:
5.1u + or - 0.9 I am always getting confused can you explain the steps for me.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 5.1u -6.6 = 2.4 -0.9u
----
Add 0.9u to both sides:
6u - 6.6 = 2.4
-----
Add 6.6 to both sides:
6u = 9
----
Divide both sides by 6 to get:
u = 3/2
================
Cheers,
Stan H.
Question 696911: find the decimal equivalent of (110.101)base 2
Answer by Alan3354(69443) (Show Source):
Question 696912: find the decimal equivalent of (127.5)base 8
Answer by Alan3354(69443) (Show Source):
Question 624821: An aluminum piston 4 in. in diameter that moves in the cylinder of a cast iron engine block must have a clearance diameter of 0.003 in. when hot. The temperature rises from 70 degrees to 160 degrees Farenheit. What should the clearance between the bore diameter and the piston be if the linear coefficient of expansion per unit length (inch) per degree Farenheit is 0.0000124 for aluminum and 0.00000655 for cast iron when the temperature is 70 degrees F?
Thank you, in advance for your time and attention to this matter.
Mary Miller
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! An aluminum piston 4 in. in diameter that moves in the cylinder of a cast iron engine block must have a clearance diameter of 0.003 in. when hot. The temperature rises from 70 degrees to 160 degrees Farenheit. What should the clearance between the bore diameter and the piston be if the linear coefficient of expansion per unit length (inch) per degree Farenheit is 0.0000124 for aluminum and 0.00000655 for cast iron when the temperature is 70 degrees F?
----------------
Al: alpha = 1.24E-5
FE: alpha = 6.55E-6
------
If the Al piston is 4 in diameter at 70F:
Its diameter at 160F = 4 + (160-70)*4*1.24E-5
= 4 + 446.4E-5 = 4 + 4.465E-3
= 4.004465 inches
--------------
If the bore is 4.003 at 70F, it changes to:
4.003 + 4.003*90*6.55E-6
= 4.003 + 2359.8E-6 = 4.003 + 2.36E-3
= 4.00536 inches
----------------
4.00536 - 4.004465 = 0.000895", less than 1/1000 of an inch.
------------------
In reality, the expansion of the bore hole in the solid block is more complex. The iron expands to make the bore larger, but the surrounding structure also contributes to "squeezing" the hole, so it's not a linear function.
Question 560025: I'm SO bored during this class. What can I do to keep myself alive for these daily, 54min classes?!
Answer by josmiceli(19441) (Show Source):
Question 551262: Ok I need steps for the question " a store allows customers to buy 3 iteams of the same price and get 2 more of the same iteams free. What percent savings does this represent.
The answer is 40 but i need steps im only 12 so make the steps easy. thanks :p
Found 2 solutions by josmiceli, scott8148:
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! First find the savings.
This is ( amount you would normally pay ) - ( amount you actually pay )
--------------------------
Then to find the percent savings,
% savings = ( savings ) / ( amount you you normally pay )
and multiply this fraction by 100
-------------------------
Let  = normal cost of 5 items
savings = c - (3/5)*c
( note that (3/5)*c means customer only paid for 3 of the 5 items )
----------------
c - (3/5)*c = (2/5)*c
% savings = [( 2/5)*c / c ] x 100
The c's cancel
% savings = (2/5)x 100
% savings = 40
---------------------
If this is a little hard to follow, the most
important part is really
% savings = ( savings ) / ( amount you you normally pay )
then multiply by 100
Answer by scott8148(6628)  (Show Source):
You can put this solution on YOUR website! putting in numbers may make it easier
3 items at $1.00 each, plus 2 free is 5 items for $3.00
5 items for $3.00 is $.60 each ($3.00 / 5)
the $.60 price is 60% of the $1.00 price [($.60 / $1.00) * 100%]
100% (full price) minus 60% (sale price) equals 40% savings
Question 544064: How do you work out 2x+1
Answer by JBarnum(2146)  (Show Source):
You can put this solution on YOUR website! ?
theres nothing to work out
its like asking how do you work out: 3
if you know what x is then you can solve or if it equalled a number negative zero or positive then you could solve for x
please make sure you write the full equation and directions. thanks
Question 455847: please could you let me know what the lcm of 6 and 9 are please even the internet cant tell me :/ thanks
Answer by rfer(16322) (Show Source):
Question 414085: The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. If a wire with length 100cm and diameter 2 mm has a resistance of 1.5 Ohms, find the resistance of a wire with length 300cm and diameter 3mm.
I tried to find something similar to this in my textbook and couldn't. My guess was that the formula to use would be r=k(L/D^2), then solve for k which would be the constant. Once I have solved for k I can plug the new length and diameter into the formula and solve for r, am I on the right track?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. If a wire with length 100cm and diameter 2 mm has a resistance of 1.5 Ohms, find the resistance of a wire with length 300cm and diameter 3mm.
---
r = k*L/d^2
---
Solve for "k" using "If a wire with length 100cm
and diameter 2 mm has a resistance of 1.5 Ohms".
----
1.5 = k*100/2^2
100k = 6
k = 0.06
-------
Equation for this problem:
r = 0.06*L/d^2
-------
Now "find the resistance of a wire with length 300cm and diameter 3mm".
r = 0.06*300/3^2
r = 0.06*100/3
r = 2 Ohms
================
Cheers,
Stan H.
================
Question 400374: your friend is training for a triathlon. on one training day shr swam 1500, rode a bike 47000m AND RAN 14KM HOW MANY KILOMETERS WERE COMPLETED
sorry about the caps lock
Answer by richard1234(7193)  (Show Source):
Question 400367: a waiter works 40 hours in order to earn $640 assuming the same rate of pay per hour calculate how much she will ear in 15 hours
Answer by rfer(16322) (Show Source):
Question 397899: Please help me solve this equation : the square root of 5z multiplied by the square root of 5 minus the squareroot of z
Answer by ankor@dixie-net.com(22740) (Show Source):
Question 373910: A transformer has 200 primary windings ans 20 secondary windings. If the primary voltage is 10 V, find the secondary voltage.
Answer by rfadrogane(214)  (Show Source):
You can put this solution on YOUR website! A transformer has 200 primary windings and 20 secondary windings. If the primary voltage is 10 V, find the secondary voltage.
Sol'n:
Let: N1 - # of turns primary winding
N2 - # of turns secondary winding
V1 - voltage on primary winding
V2 - voltage on secondary winding
N1/N2 = V1/V2
V2 = V1(N2/N1)
V2 = 10(20/200)
V2 = 1 V ----ans.
Question 369900: there are five people standing in a room. Antonio is 5 time the age of Patrick who is half the age of Merlyn. Ed is 30 years younger than double Merlyn and Patrick's combined ages. Precious is 79 years younger than Antonio. The sum of their ages is 271. How old is Precious?
Answer by mananth(16946)  (Show Source):
You can put this solution on YOUR website! there are five people standing in a room. Antonio is 5 time the age of Patrick who is half the age of Merlyn. Ed is 30 years younger than double Merlyn and Patrick's combined ages. Precious is 79 years younger than Antonio. The sum of their ages is 271. How old is Precious?
..
let Antonio = x years
Precious = x-79
Antonio = x= 5* age of patrick
Patrick = x/5
..
Patrick = 1/2 age of Merlyn
2*patrick = Merlyn
2x/5= Merlyn
..
Ed = 2*(2x/5 + x/5)-30
Ed = 2*(3x/5)-30
Ed= 6x/5-30
...
now you have all their ages in variables
add them up
x+x-79+x/5 +2x/5 +6x/5-30 =271
2x+x/5 +2x/5+6x/5 = 271+79+30
(10x+x+2x+6x)/5 =380
19x=5*380
x= 5*380/19
x = 100 Antonio's age
Precious = Antonio's age -79
..
100-79 = 21
Precious is 21 years
..
m.ananth@hotmail.ca
Question 348755: what is 25+n=31
Answer by checkley77(12844) (Show Source):
Question 344826: Please help me with my Linear Equations problem.
4x+y= -25
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Please help me with my Linear Equations problem.
4x+y= -25
------
What do you want to do with the equation?
---
cheers,
Stan H.
Question 332790: Lamar's gas tank is full. After he buys gallons of gas, it is full. How many gallons can Lamar's tank hold?
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
This question makes no sense whatsoever. If the question you are asking has numbers in it, please share them with us.
John
My calculator said it, I believe it, that settles it
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