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Aleks04 [339]
3 years ago
13

A jeweler needs 50 ounces of a 21% silver alloy. Find the amount of a 12% silver alloy and the amount of a 24% silver alloy he s

hould mix. Solve using a system of equation.
Need by today!! please show formula and work!!!!
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

Answer:

  • 12.5 ounces of 12% alloy
  • 37.5 ounces of 24% alloy

Step-by-step explanation:

Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...

  24%·x + 12%·(50 -x) = 21%·50

  12x = 450 . . . . . . simplify, multiply by 100 (to eliminate %), and subtract 600

  x = 37.5 . . . . . . . divide by 12

The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.

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13 = m/4 + 7 can you show work too
lukranit [14]

The correct value of this equation is <u>m = </u><u>24</u>

<h3>Resolution method</h3>

This equation contains a fractional term. We note that the denominator of this equation is the <u>term 4</u>. Therefore, we will multiply the sides by <u>4</u>:

13 = m/4 + 7

13 . 4 = 4(m/4) + 7 . 4

52 = m + 28

Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:

52 = m + 28

-m = 28 - 58

-m = -24

<u>m = 24</u>

Therefore, the correct value of this equation will be <u>m = 24</u>

7 0
2 years ago
Please help with this!!
maw [93]

Answer:

gcf=2

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hope this is right!

8 0
2 years ago
A paperweight is shaped like a triangular pyramid. The base is an equilateral triangle. Find the surface area of the paperweight
melomori [17]

Answer:

<h2>8.3 in²</h2>

Step-by-step explanation:

We have

three triangles with the base <em>b = 2 in.</em> and the height <em>h₁ = 2.2 in.</em>

one triangle with the base <em>b = 2 in. </em>and the height <em>h₂ = 1.7 in.</em>

The formula of an area of a triangle:

A=\dfrac{b\cdot h}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

Substitute:

A_1=\dfrac{(2)(2.2)}{2}=\dfrac{4.4}{2}=2.2\ in^2

A_2=\dfrac{(2)(1.7)}{2}=1.7\ in^2

S.A.=3A_1+A_2

S.A.=3(2.2)+1.7=6.6+1.7=8.3\ in^2

5 0
3 years ago
IM DOING A TEST!<br><br> Idk how to do this help<br> Please try
goldenfox [79]

Answer:

1 is 102

2 is 78

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7 0
4 years ago
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5 - 7k = -4(k + 1) - 3​
mojhsa [17]

Answer:

5 - 7k = -4(k + 1) - 3​

5 - 7k = -4k - 4 - 3​

7k + 4k = - 4 - 3​ -5

11k = -12

k = -12/11

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7 0
3 years ago
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