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
dedylja [7]
3 years ago
7

An alloy weighing 40 lbs. is 10% tin. The alloy was made by mixing a 15% tin alloy and a 8% tin alloy. How many pounds of each a

lloy (to the nearest tenth) were used to make the 10% alloy?
lbs. of the 15% alloy and lbs. of the 8% alloy.
Mathematics
2 answers:
zheka24 [161]3 years ago
7 0
Let the weight of 15% tin be  x.

So the weight of the 8% tin will be:  (40 - x), since the total weight is 40 lbs


Using the mixture formula:

w1*p1 + w2*p2 = w*p

Where w1 = weight of the first percentage, p1 = First Percentage

w2 = weight of the second percentage, p2 = Second Percentage

w = Final weight, p1 = Final Percentage

0.15*x + 0.08(40 - x) = 40*0.1

0.15x + 3.2 - 0.08x = 4

0.15x - 0.08x = 4 - 3.2

0.07x = 0.8

x = 0.8/0.07

x ≈ 11.429

Recall the 15% was made with x, which is ≈   11.429

Recall the 8% was made with (40-x) ≈  (40 - 11.429) ≈ 28.571

So the 10% tin of the 40 lbs was made with ≈11.4 lbs of the 15% tin and  ≈28.6 lbs of the 8% tin
Mice21 [21]3 years ago
3 0
X=15% alloy
y=8% alloy
x+y=40
y=40-x
0.15x+0.08y=40*0.10
0.15x+0.08(40-x)=40*0.1
times 100 both sides for easy
15x+8(40-x)=400
15x+320-8x=400
7x+320=400
minus 320 from both sides
7x=80
divide both sides by 7
x=80/7
x+y=40
80/7+y=280/7
y=200/7
aprox
x=11.4lb
y=28.6lb


11.4lb of 15%
28.6lb of the 8%
what????
You might be interested in
Determine if the triangles, CEG and DEF ,are similar. If so, identify the similarity
Harlamova29_29 [7]

Answer:

A

Step-by-step explanation:

AA similarity means 2 angles must be similar.

Angle 1: Angle E is the same for both triangles

Angle 2: Angle F and angle G are congruent because they both have right angle markings so they are both 90 degrees.  

8 0
3 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
Nata [24]

Answer: 5x-3y=44

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

(y-b)=\dfrac{d-b}{c-a}(x-a)

Standard form of equation of line = Ax+By=C

Given points =  (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)

(y+3)=\dfrac{-8+3}{-3}(x-7)   [∵ (-)(-)=(+)]

(y+3)=\dfrac{-5}{-3}(x-7)

(y+3)=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

9+35=5x-3y

44=5x-3y

Or 5x-3y=44

Hence, the required equation :-5x-3y=44

4 0
3 years ago
What the answer is and how?
sladkih [1.3K]

Answer:

PerimeterFigure= pi*DIameter/2= 1.5*pi ft.

Step-by-step explanation:

The perimeter is the length of the figure, since we are dealing with an semi-circle, we can use the perimeter equation for a full circle and divide it by half.

Perimeter= 2pi*R= pi*Diameter.

Since Our figure is a semi circle, as we say earlier, we now will divide the above result by half.

PerimeterFigure= pi*DIameter/2= 1.5*pi ft.

3 0
2 years ago
If you change the sign of a point’s
zubka84 [21]
It will reflect the same distance over the Y axis, from the right side of the graph to the left side of the graph.
4 0
3 years ago
I’m stuck on this question if someone could help me I would highly appreciate:)
kodGreya [7K]
Question 4 is (1,2)
Question 5 is (1,0)
These are are definitely correct
7 0
2 years ago
Other questions:
  • Find an equation for the line that passes through the points , −6−2 and , 4−6 .
    7·1 answer
  • A fair coin is flipped 1000 times. What is the approximate probability that heads comes up at most 600 times?
    7·2 answers
  • Evaluate csc (3pi/14) and cot (5pi/12) using a calculator.
    8·1 answer
  • I need help with this question
    15·2 answers
  • 0.4x-0.25=1.75<br><br>A. x=2 <br>B. x=5 <br>C. x=1.5 <br>D.x=5.2​
    7·1 answer
  • HELPPPPP!!!!!!!!!!!!!!!!!!!
    13·1 answer
  • Select the correct answer.
    10·2 answers
  • DOES ANYONE KNOW HOW TO DO THIS? DUE AT 11 TONIGHT PLS HELP!
    7·2 answers
  • 2x/3 + 5 = 11x/15 + 14
    9·1 answer
  • Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $1
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!