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Flura [38]
3 years ago
9

Machine A takes a hours to make 100 bolts, and machine B takes b hours to make 100 bolts. How many

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

100(1/a + 1/b)

Step-by-step explanation:

Machine A takes a hours to make 100 bolts

  • Then machine A makes 100/a bolts in one hour

Machine B takes b hours to make 100 bolts

  • Then machine B makes 100/b bolts in one hour

<u>Two machines will make:</u>

  • 100/a + 100/b = 100(1/a + 1/b)

bolts in one hour

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Suppose set A is the set of all U.S. states and set B is the set of all U.S. cities which are state capitals. Now, suppose the r
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Answer:

A

Step-by-step explanation:

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8 0
3 years ago
Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
Rufina [12.5K]

Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

         -ky = -48x + 11

         \frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}    

           y =\frac{48x}{k} - \frac{11}{k}

Slope: \frac{48}{k}

*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

                 16y = -(k + 2)x - 19

                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

\frac{(k + 2)k}{16(48)} = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



5 0
3 years ago
10
timama [110]

Answer:

25π units^2

Step-by-step explanation:

The shape is a quarter circle with radius 10 units.

area of circle = πr^2

area of a quarter circle = (1/4)π(10 units)^2

area = 25π units^2

5 0
3 years ago
When data is displayed with a scatter plot, it is often useful to attempt to represent that data with the equation of a straight
Alexus [3.1K]
The line is often referred to as the "line of best fit", this line is drawn so that more accurate conclusions can be drawn from given data. This has numerous uses across the sciences.
4 0
3 years ago
3 over 4 open parentheses 1 half x space minus space 12 close parentheses space plus space 4 over 5
lesantik [10]

For this case we have the following expression:

\frac {3} {4} (\frac {1} {2} x-12) + \frac {4} {5}

Rewriting the expression we have:

We apply distributive property to the terms of parentheses:

\frac {3} {8} x- \frac {36} {4} + \frac {4} {5}\\\frac {3} {8} x-9 + \frac {4} {5}\\\frac {3} {8} x- \frac {41} {5}\\

Answer:

\frac {3} {8} x- \frac {41} {5}

4 0
3 years ago
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