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MakcuM [25]
3 years ago
11

Luis was hired to make some jewelry for a special occasion. He needs to make the jewelry out of an alloy that is 54%silver and h

e requires 10 ounces. He has a large amount of 45% silver and also some that is 75% silver. How many ounces of 45% silver and 75% silver does he need?
Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

9514 1404 393

Answer:

  • 3 ounces of 75%
  • 7 ounces of 45%

Step-by-step explanation:

Let x represent the number of ounces of 75% silver needed. Then (10-x) is the number of ounces of 45% silver. The total silver required is ...

  0.75x +0.45(10 -x) = 0.54(10)

  0.30x +4.5 = 5.4

  0.30x = 0.9

  x = 0.9/0.3 = 3 . . . . . ounces of 75% silver

  10-x = 7 . . . . . ounces of 45% silver

Luis needs 7 ounces of 45% silver and 3 ounces of 75% silver.

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an online book store has 173 boxes of books in its warehouse each box has 48 books how many books are in the warehouse​
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Answer:

8304

Step-by-step explanation:

1 box=48 books

173 boxes=48x173

=8304

8 0
3 years ago
A line that passes through (-1, 6) and the origin
zmey [24]

Answer: The equation is y = -6*x

Step-by-step explanation:

I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:

a = (y₂ - y₁)/(x₂ - x₁)

Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:

a = (6 - 0)/(-1 - 0) = 6/-1 = -6

Then our equation is something like:

y = -6*x + b

To find the value of b we can use the fact that this line passes through the point (0, 0).

This means that when x = 0, y is also equal to zero.

If we replace these values in the equation we get:

0 = -6*0 + b

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7 0
3 years ago
Which statement about the equation y = 5x – 8 is correct?
lbvjy [14]

9514 1404 393

Answer:

  A. The equation represents a linear function because the equation is in the form y = mx + b

Step-by-step explanation:

A linear function does not have to be in the form y = mx + b, but if a function is in that form, it is a linear function.

  choice A is appropriate

__

A function may have two variables, x and y, and not be a linear function. For example, y = x² is not a linear function. The fact that it has two variables is not what makes it linear.

7 0
3 years ago
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4 0
3 years ago
100 equals 15 minus x divided by 5
zloy xaker [14]
The answer is -485. 

To find this we first need to get rid of the 5 in the denominator. 

100 = \frac{15 - x}{5}

So we multiply each side by 5. 

 500 = 15 - x

Now we need to get rid of the 15. So we subtract 15 from both sides. 

485 = -x

Then since our x is negative, we need to divide by -1. 

-485 = x
7 0
3 years ago
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