Emily the blacksmith blends one alloy of silver that is 45% silver and another that is 95% silver. To the nearest ton, how much of each alloy is needed to make 139 tons of a 70% silver alloy?

please answer​

Answers

Answer 1

Answer:

69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy

Step-by-step explanation:

Given

[tex]Alloy\ 1 = 45\%[/tex]

[tex]Alloy\ 2 = 95\%[/tex]

Required

How much of each alloy is needed for 70% silver alloy 139 tons

Let the amount of alloy 1 needed be x and the amount of 2 needed by y.

So:

[tex]x + y = 139[/tex]

Make y the subject

[tex]y = 139 - x[/tex]

The percentage of each needed is represented as:

[tex]45\% * x + 95\% * y = 139[/tex]

[tex]45\% * x + 95\% * y = 70\% * 139[/tex]

[tex]0.45x + 0.95y = 0.70 * 139[/tex]

[tex]0.45x + 0.95y = 97.3[/tex]

Substitute 139 - x for y in the above equations

[tex]0.45x + 0.95*(139-x) = 97.3[/tex]

[tex]0.45x + 0.95*139-0.95*x = 97.3[/tex]

[tex]0.45x + 132.05-0.95x = 97.3[/tex]

Collect Like Terms

[tex]0.45x -0.95x = 97.3-132.05[/tex]

[tex]-0.50x = -34.75[/tex]

Make x the subject

[tex]x = \frac{-34.75}{-0.50}[/tex]

[tex]x = 69.5[/tex]

Recall that:

[tex]y = 139 - x[/tex]

[tex]y = 139 - 69.5[/tex]

[tex]y = 69.5[/tex]

This implies that:

69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy


Related Questions

57/4 × 1/6 = 57/24 =

Answers

57/24 = 19/8 (divide numerator and denominator by 3)

Hope this helps.

Q) 57/4 × 1/6 = 57/24 = ?

→ 57/4 × 1/6

→ 57/24 = 19/8

Therefore the final answer is,

→ 57/4 × 1/6 = 57/24 = 19/8

In the figure below ∠APE and ∠EPD are congruent.

What is the arc measure of minor arc AC on circle P in degrees

Answers

Answer:

minor arc AC = 150 degrees

Step-by-step explanation:

minor arc AC = 360-136-74 = 150 degrees

Answer: 150

Step-by-step explanation: Khan Academy

please help !!!! Compare the table and equation.

x y
4 12
5 15
6 18
Equation: y = 3x

Which representation has the greatest slope?

A. The table and equation have the same slope.

B. Their slopes cannot be determined.

C. The equation has the greatest slope.

D. The table has the greatest slope.

Answers

Answer

I think A or c

Step-by-step explanation:

Your answer to this would be A, The table and equation of the same slope.

To find this, just divide Y by X. For ex, this could look something like 12 divided 4, 15 divided by 5, or 18 divided by 6.

To figure this out too, you can plug in the X and Y components into the equation to see if it checks out.

If you need any further help, please do not hesitate to ask or message me!!

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Answer: 37 hours.

Step-by-step explanation:

All you really have to do is divide 259 by 7.

Answer:

37 hours

Step-by-step explanation:

You would need to divide 259 by 7 creating your sum.

A stack of 700 pieces of paper is 10.5 inches tall. How thick is one single piece of paper?

Answers

Answer:

0.381mm or 0.015in

Step-by-step explanation:

no. of papers in the stack-700

total length of stack-10.5in

thickness of single piece of paper= 10.5/700= 0.015in=0.381mm

Determine the no. of permutations
for the word PHOTOGRAPH​

Answers

Given:

The word is "PHOTOGRAPH​".

To find:

The no. of permutations for the given words.

Solution:

The total number of letters in the word PHOTOGRAPH is 10.

It is clear that P, H, O are twice and T, G, R, A are occurred once.

To find the total number of permutations, we need to divide the permutation of 10 letters by the permutation of repeated letters.

The total number of permutations for the given word is

[tex]Permutations=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]

[tex]Permutations=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2}[/tex]

[tex]Permutations=10\times 9\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]

[tex]Permutations=453600[/tex]

Therefore, the no. of permutations for the word PHOTOGRAPH is 453600.

Find the perimeter of a square with sides that measure (2/3)g centimeters.

Answers

Answer:

Perimeter of a SQUARE

4 x s

4 x 2.3 = 9.2 cm

Hence the perimeter of the square is 9.2cm

PICKING BRIANLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!


Which statement about the slope of the line is true?


A. It is fraction negative 1/3 throughout the line.


B. It is −3 throughout the line.


C. The slope from point O to point A is fraction 1/3 times the slope of the line from point A to point B.


D. The slope from point O to point A is 3 times the slope of the line from point A to point B.

Answers

Im pretty sure you put the wrong picture. The slope isn't negative and there is no point O,A, or B.
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Answers

Answer:

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how to find the interest for a 2% interest rate loan of $3000 for 1 year, BUT instead of the 2% in the example, switch it to 3% interest on a $3500 loan.

Answers

Answer: See Explanation

Step-by-step explanation:

Simple interest is calculated as:

= principal × rate × time.

The interest for a 2% interest rate loan of $3000 for 1 year will be:

= principal × rate × time.

= $3000 × 2% × 1

= $3000 × 2/100 × 1

= $3000 × 0.02 × 1

= $60

The interest for a 3% interest rate loan of $3500 for 1 year will be:

= principal × rate × time.

= $3500 × 3% × 1

= $3500 × 3/100 × 1

= $3500 × 0.03 × 1

= $105

40 points please help me due in 50 minutes!

Answers

u use sin
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It would be 120461 gallons of oil.

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Answers

Answer:4.46666666667

your welcome

Answer:

4 7/15

Step-by-step explanation:

Doña Mago compró 3 kg de chile verde y 11 dólares de tomate en una tienda, en otra tienda compro 2 kg de chile verde y $ 24 dólares de cebolla.Si en cada tienda pago la misma cantidad de dinero y el precio de cada kg de chile verde fue el mismo en ambas tiendas cuanto costó el kg de chile ?

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Answer:

NOSE BRO TU DIME JAJAAJAJAJAJAJAJAJAJAJAJAJAJAJAAJAJA XXDXDDDXXDDZXXDDDXXDDDXZDDXXDDDXXZDD$XXXXDDDDDDD

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Here are the steps I used to solve it

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree. EXPLAIN HOW TO GET YOUR ANSWER PLEASE!

Answers

It's 87 feet I got the answer right

The  height of the tree is estimated as 87 ft.

The height of the tree can be estimated using trigonometric ratios. Therefore,

tan 44° = opposite / adjacent

tan 44° = h / 90

h = 90 tan 44°

h = 90 × 0.9656887748

h = 86.9119897326

h ≈ 87 ft

Therefore, the  height of the tree is estimated as 87 ft.

read more: https://brainly.com/question/15956363?referrer=searchResults

PLS HELPLPPPPOPPPP I’ll mark brainiest

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can you pls comment a picture so i can help you? thanks :)

A house painter uses 6 gallons of paint per day. How many gallons does the painter use in a 5 day workweek?
(please help me i will give brainliest)​

Answers

30!

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Hope this helps!!:)

Answer:

30

Step-by-step explanation:

6 x 5= 30

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Answers

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Step-by-step explanation:

Given data

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Answers

Answer:

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Step-by-step explanation:

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y is directly proportional to x i.e.

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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$​

Answers

the answer is $3.15. I hope this helps!

Answer:

givens

3$

5%

clue word Up

operation to be use : Multiplication

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3x0.05=N

The Answer Is

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Hope It's Help (づ ̄ ³ ̄)づ

[ I spend 3:00 minutes This solved It ]

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Answers

Answer:

0.75, 0.5, 0.25, 0.05

Hope it helps!!!

B.)0.75, 0.5,0.25,0.05

0.25

0.52

0.75    greatest

0.05    Least

To qualify to compete in the doggie high jump finals dogs must jump a certain hight in the semi finals. Maple jumped 2 5/8 inches below the qualifying hight but her friend pink made it to 1 5/6 inches over the qualifying height how much higher was pinks jump compared to maples

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