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mamaluj [8]
2 years ago
15

A jeweler wants to combine a 60% gold alloy with a 20% gold alloy to make 1000 grams of 50% gold alloy. How many grams of 60% al

loy should be used?
Mathematics
1 answer:
kramer2 years ago
7 0

Answer:

750 grams of 60% alloy

Step-by-step explanation:

Define x = amount of 60% alloy and y = amount of 20% alloy

Equating the amounts of gold:

0.6x+0.2y = 1000(0.5)

Since there must be 1000 grams total:

x+y = 1000

Writing the 2 resulting equations together:

0.6x + 0.2y = 500

x + y = 1000

Multiply the first equation by 5:

3x + y = 2500

x + y = 1000

Subtracting the 2nd equation from the 1st:

2x = 1500

x = 750

Answer: 750 grams of 60% alloy

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Answer:

SA = 10\pi in²

Step-by-step explanation:

Formula to find the surface area of a cylinder is,

2\pi  r(r+h)

Given that,

r = 1 \\h=4

Let,s solve now

2\pi  r(r+h)\\2\pi  *1(1+4)\\2\pi (5)\\(10\pi) in^{2}

Hope this helps you.

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5 0
3 years ago
A can of fruit contains 3 1/2 cups of fruit. The suggested serving size is 1/2 cup. How many servings are in the can of fruit?
rewona [7]


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8 0
3 years ago
The sum of the measures of the angles of any triangle is 180 degrees. in triangle​ abc, angles a and b have the same​ measure, w
frutty [35]
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a + a + 72 = 180 since a = b

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3 years ago
What is the domain of the function graphed below?
Ulleksa [173]

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8 0
2 years ago
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand co
Flura [38]

Let <em>f</em> and <em>s</em> denote the amounts of the <u>f</u>irst and <u>s</u>econd brands that the chef is going to use.

She wants to end up with 290 mL, so

<em>f</em> + <em>s</em> = 290

Each mL of the first brand contains 0.08 mL of vinegar, and each mL of the second contains 0.13 mL of vinegar. The final mixture should have a concentration of 12% vinegar, so that it contains 0.12 • 290 mL = 34.8 mL of vinegar, and

0.08<em>f</em> + 0.13<em>s</em> = 34.8

Solve for <em>f</em> and <em>s</em> :

<em>f</em> + <em>s</em> = 290   →   <em>s</em> = 290 - <em>f</em>

0.08<em>f</em> + 0.13 (290 - <em>f </em>) = 34.8

0.08<em>f</em> + 37.7 - 0.13<em>f</em> = 34.8

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<em>s</em> = 290 - 58

<em>s</em> = 232

8 0
3 years ago
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