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mr Goodwill [35]
3 years ago
7

Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machin

es, each working at the same constant rate, will be needed to complete the Job in 8 days?A. 2B. 3C. 4D. 6E. 8
Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

The answer to your question is letter C

Step-by-step explanation:

This is a problem with the inverse rule of three because we expect that more machines can complete the same work in fewer days.

                              6 machines ------------------  12 days

                              x machines -------------------  8 days

               x machines = \frac{(8 days)(6 machines)}{12 days}

                            x machines = \frac{48 machines}{12}

                                   x = 4 machines

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Answer:

2

Step-by-step explanation:

4 0
3 years ago
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What is the standard form for the quadratic function?<br>f(x) = (x – 3)2 + 5​
Minchanka [31]

Answer:

f(x)  = x² - 6x + 14

Step-by-step explanation:

Standard form is ax² + bx + c = 0 or f(x) = ax² + bx + c

So we are going to expand the equation and combine like terms:

f(x) = (x - 3)² + 5

f(x) = x² - 3x - 3x + 9 + 5

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f(x) = x² - 6x + 14

7 0
3 years ago
The graph of a rational function is shown. Use the graph to approximate the key features. Enter the coordinates as ordered pairs
belka [17]

Answer:

The zero of the function is; (-4,0). The y-intercept is; (0,4). The horizontal asymptote is; y =2. The vertical asymptote is; x= -2

Step-by-step explanation:

The zero of a function is the point where the graph of the function crosses the x-axis. The y-intercept is where the graph of the function crosses the y-axis. The horizontal asymptote is a horizontal line that the function approaches but never touches or crosses it. Finally, the vertical asymptote is a vertical line that the function approaches but never touches or crosses it

3 0
3 years ago
Solve for b. <br><br> 1/7= 90/91 +b
yanalaym [24]

♡ The Question ♡      

・1/7 = 90/91 + B

Solve for B!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*  

* ♡ The Answer ♡      

・B = -11/13

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

♡ The Explanation/Step-By-Step ♡      

・1/7 = 90/91 + B

Switch sides!

90/91 + B = 1/7

Subtract 90/91 from both sides!

90/91 + B - 90/91 = 1/7 - 90/91

Simplify!

90/91 + B - 90/91 : B

90/91 + B - 90/91

90/91 - 90/91 = 0

= B

Simplify!

1/7 - 90/91 : -11/13

1/7 - 90/91

= 13/91 - 90/91

Combine the fractions!

= 13 - 90 over 91

Subtract the numbers! : 13 - 90 = -77

= -77/91

Apply the fraction rule! : -a/b = -a/b

= -77/91

Cancel the common factor! : 7

= -11/13

B = -11/13

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

*♡ Tips ♡      

・No tips provided!

3 0
3 years ago
PLEASE HELP!!!! A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can tr
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Answer:

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Step-by-step explanation:

Let the speed of current be x

<u>Speed of the boat in same direction as current is</u>

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<u>Based on the given we get the equation for time</u>

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<u>Solving for x</u>

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The answer is 2 mph

7 0
3 years ago
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