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Andrei [34K]
2 years ago
9

At the beginning of Jack's diet, he was 257 pounds. If he lost 3 pounds per week, find his weight after

Mathematics
2 answers:
Cloud [144]2 years ago
7 0

Answer:

A loss of weight means we subtract from Jack's current weight. 

Step-by-step explanation:

A loss of weight means we subtract from Jack's current weight. New Weight = Current Weight - Weight Loss per week * number of weeksNew Weight =257 - 3*12New Weight =257 - 36New Weight = 221

snow_lady [41]2 years ago
7 0
[times 12] 3 pounds= 1 week. {times 12}
36 pounds = 12 weeks


Then:

257-26=221


Answer: Jack will be 221 pounds
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Doss [256]

Answer:

he has 10 type of each coin

Step-by-step explanation:

Total number of cents in possession is calculated as;

= 25 + 10 + 5

= 40 cent

Total amount in possession = $4

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Since he has equal number of each cent, let this equal number be "y";

40cent (y) = 400cent

40y = 400

divide both sides by 40

\frac{40y}{40} = \frac{400}{40} \\\\y = 10

Therefore, he has 10 type of each coin

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What is the simplest form of the expression below? cot(theta) cos(theta)/sin(theta)*tan(theta) divided by sin(theta)/cos(theta)
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3 years ago
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What does the "mean" applies to math mean?
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3 years ago
Find the orthocenter for the triangle described by each set of vertices.
givi [52]

Answer:

The orthocentre of the given vertices ( 2 , -3.5)

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

The orthocentre is the intersecting point for all the altitudes of the triangle.

The point where the altitudes of a triangle meet is known as the orthocentre.

Given Points are K (3.-3), L (2,1), M (4,-3)

<em>The Altitudes are perpendicular line from one side of the triangle to the opposite vertex</em>

<em>The altitudes are  MN , KO , LP</em>

<u><em>step(ii):-</em></u>

<em>  </em>  Slope of the line  

                          KL = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } = \frac{1-(-3)}{2-3} = -4

The slope of MN =

The perpendicular slope of KL

                           = \frac{-1}{m} = \frac{-1}{-4} = \frac{1}{4}

The equation of the altitude

                                 y - y_{1} = m( x-x_{1} )

                                y - (-3) = \frac{1}{4} ( x-4 )

                               4y +12 = x -4

                                x - 4 y -16 = 0 ...(i)

Step(iii):-

 Slope of the line  

                          LM = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } = \frac{-3-1}{4-2} = -2

The slope of KO =

The perpendicular slope of LM

                           = \frac{-1}{m} = \frac{-1}{-2} = \frac{1}{2}

The equation of the altitude

                                 y - y_{1} = m( x-x_{1} )

The equation of the line passing through the point K ( 3,-3) and slope

m = 1/2

                                y - (-3) = \frac{1}{2} ( x-3 )

                                2y +6 = x -3

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Solving equation (i) and (ii) , we get

  subtracting equation (i) and (ii) , we get

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                       - 2y -7 =0

                      -2y = 7

                        y = - 3.5

Substitute y = -3.5 in equation x -4y-16=0

               x - 4( -3.5) - 16 =0

               x +14-16 =0

                x -2 =0

                  x = 2

The orthocentre of the given vertices ( 2 , -3.5)

4 0
3 years ago
write the 3- digit number That answer the riddle. I have the same ones as Hundreds digit digit. the value of my tens digit is 50
attashe74 [19]
Represent the digits as
xyz where they represent whole single digit numbers

same ones place as hundreds
x=z
xyx
value of 10s is 50
one is 4
therefor since 10s is 50 divide by 10 and get 5 for tens digit
y=5
ones is 4
ones=hundred
hundred=4
number is 454
5 0
3 years ago
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