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navik [9.2K]
3 years ago
8

Alloy, c, weighing 500 ounces and having 35% aluminum, is obtained from melting together x ounces of alloy, a, containing 25% al

uminum, and y ounces of alloy, b, containing 40% aluminum. Write an equation showing the ounces of alloy a and b that can be used to obtain alloy c.
Mathematics
1 answer:
boyakko [2]3 years ago
3 0
From the given scenario in this item, we can say that the sum of x and y is 500. By the aluminum balance, the equation that we can formulate from this,
                            0.25x + 0.40y = (500)(0.35)
The system of linear equations that can best express the given is,
                                   x + y = 500
                                0.25x + 0.40y = 175
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Answer:

<em>y-9=0(x-6)</em>

<em>Or, equivalently: y=9</em>

<em>This represents a horizontal line</em>

Step-by-step explanation:

<em>Equation of the line</em>

The point-slope form of the equation of a line is:

y-k=m(x-h)

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The points are (6,9) and (7,9). These points dfine a horizontal line, as we'll see later.

The slope is:

\displaystyle m=\frac{9-9}{7-6}=0

m=0

Now compute the equation in point-slope form:

y-9=0(x-6)

Solving for y:

y=9

This represents a horizontal line

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3 years ago
9. Find the area of the shaded region below,
Mumz [18]

Answer:

80

Step-by-step explanation

12x12 divided by 9 x 5

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3 years ago
Divide. Write your answer as a fraction in simplest form. − 7 1/0÷2/5=
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Answer:

-  \frac{71}{4}

Step-by-step explanation:

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=   - \frac{71}{10}  \times  \frac{5}{2}

=  -  \frac{71}{2}  \times  \frac{1}{2}

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4 0
3 years ago
Retha Davidson works for a word processing center keying straight copy.
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Using proportions, it is found that:

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<h3>Proportions:</h3>

This question is solved using the proportions given, which are:

  • Payment of $1.50 per page of 30 lines.
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Hence, in an 8-hour day, she keys 6 x 8 = 48 pages.

Since she earns $1.50 per page, for a day, her gross earnings are of 48 x 1.5 = $72.

Considering a week has 7 days, for a week, her gross earnings are of 72 x 7 = $504.

To learn more about proportions, you can take a look at brainly.com/question/24372153

5 0
2 years ago
Which two of the following have the same value as 4.032?
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Step-by-step explanation:

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