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nataly862011 [7]
2 years ago
11

How much alfalfa does Helmut need to add to 30L of ostrich pellets to make a feed mix that is 40% alfalfa by volume?

Mathematics
1 answer:
Nutka1998 [239]2 years ago
8 0

Answer:

  a = 20 . . . . liters

Step-by-step explanation:

To solve this, multiply the equation by 30+a:

  a = 0.4(30 +a)

  a = 12 + 0.4a . . . . . eliminate parentheses

  0.6a = 12 . . . . . . . . subtract 0.4a

  a = 12/0.6 = 20 . . . divide by the coefficient of a

20 L of alfalfa must be added

_____

<em>Check</em>

  20/(30+20) = 20/50 = 40/100 = 0.4 . . . . . . answer checks OK

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URGENT<br>Which of the following is the graph of y=0.5sec (x+pi/3)-2?
arlik [135]

Answer:

See attachment.

Step-by-step explanation:

The given function is

y=0.5\sec(x+\frac{\pi}{3})-2

This is the graph of y=\sec(x) that is shifted down 2 units and shifted to the left \frac{\pi}{3} units.

When x=0, y=0.5\sec(0+\frac{\pi}{3})-2

y=0.5\sec(\frac{\pi}{3})-2

y=1-2=-1

The y-intercept is -1.

The correct choice is shown in the attachment

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2 years ago
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Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to Angl
AlexFokin [52]

Answer:

A: They are congruent and complementary.

Step-by-step explanation:

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2 years ago
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A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
erastovalidia [21]

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
2 years ago
Which is the graph of the system x + 3y &gt; –3 and y &lt; One-halfx + 1?
fenix001 [56]

Answer: THE GRAPH IS ATTACHED.

Step-by-step explanation:

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x + 3y=-3

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In order to graph them, we can find the x-intercepts and the y-intercepts.

For the line x + 3y=-3 the x-intercepts is:

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And the y-intercept is:

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And the y-intercept is:

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By definition, the solution is the intersection region of all the solutions in the system of inequalities.

6 0
2 years ago
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