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Ira Lisetskai [31]
2 years ago
5

HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS

Mathematics
1 answer:
maria [59]2 years ago
8 0

Answer: 12 h ; 45 m

Step-by-step explanation:

*Important: From what I can see in this image, this appears to be a test. If this is the case, please do not cheat. In any case, here is the explanation.

What we know:

  • Progress has been made to 4.75
  • Rate of digging is 3/5 mph
  • Depth must be at least 12 1/2
  • We need to find the minimum amount of time the machine works

How to solve:

By setting up an algebraic equation, we can solve this.

Process:

  • Set up equation                            4.75 + 3/5x = 12 1/2
  • Convert                                          19/4 + 3/5x = 12 1/2

                                                                95/20 + 12/20x = 250/20

  • Subtract                                           -95/20                 -95/20

                                                                               12/20x= 155/20

  • Isolate x via division                                       /(12/20) /(12/20)
  • +Simplify                                                          

                                                                                         x= 12 11/20

  • Convert                                                                    12 h 33 m

Solution: 12 ; 45

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Show how you got y answers
trasher [3.6K]

Answer:

y = x - 3

Step-by-step explanation:

3x - 3y = 9

3x - 9 = 3y

x - 3 = y

y = x - 3

Then plug and chug for y by entering the given x values

3 0
3 years ago
Passing through (-2,1 ) and perpendicular to<br> 4x + 7y + 3 = 0.
Lunna [17]

Answer:

<h2>7x - 4y + 18 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

========================================

Let

k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

4x+7y+3=0             <em>subtract 7y from both sides</em>

4x+3=-7y         <em>divide both sides by (-7)</em>

-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}

Therefore

m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}

We have the equation:

y=\dfrac{7}{4}x+b

Put the coordinates of the point (-2, 1) to the equation, and solve for <em>b</em> :

1=\dfrac{7}{4}(-2)+b

1=-\dfrac{7}{2}+b     <em>multiply both sides by 2</em>

2=-7+2b           <em>add 7 to both sides</em>

9=2b            <em>divide both sides by 2</em>

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

y=\dfrac{7}{4}x+\dfrac{9}{2} - <em>slope-intercept form</em>

Convert to the general form:

y=\dfrac{7}{4}x+\dfrac{9}{2}         <em>multiply both sides by 4</em>

4y=7x+18      <em>subtract 4y from both sides</em>

0=7x-4y+18

6 0
2 years ago
Which of the following statements is true?
boyakko [2]

Answer:

B) Aluminum and steel are good conductors of electricity.

Step-by-step explanation:

5 0
2 years ago
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Trava [24]

Answer:

8

Step-by-step explanation:

I believe that the answer is 8

8 0
2 years ago
If x = 2y + 2, how much greater is 6x than 12y?
ziro4ka [17]
I think that it is A
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3 years ago
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