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mamaluj [8]
1 year 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:
kramer1 year 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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2 years ago
Anyone by chance know how to answer this geometry question I need help so bad
NemiM [27]

Answer:

x = -8 and BDC is 68 degrees.

Step-by-step explanation:

Combine -7x+12 and -8x+48 to get -15x+60.  Since BDA is a straight angle put the above equation to get -15x+60=180.  Subtract 60 from both sides to get -15x=120.  Divide -15 both sides to get -8 as your x value.  Plug in -8 to BDC, since both negatives are being multiplied, it would turn to a positive number which is 56, add 12 to get 68 as your final result for BDC.

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3 years ago
There is a line that includes the point(10, 5)and has a slope of 1 What
ziro4ka [17]

Answer:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

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The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).  

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

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3 0
3 years ago
Shelly is hanging strings of holiday lights around the front windows of her house. Each window is a square with sides measuring
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  4

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8 0
3 years ago
Read 2 more answers
Find the length of the side
MrRa [10]

Answer:

So AC = 25

Step-by-step explanation:

ABC = LMN

That means AB = LM

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AB = LM = 41

BC = MN=38

AC = LN=25

So AC = 25

7 0
3 years ago
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