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gtnhenbr [62]
4 years ago
11

Michael cycles 4 kilometers during each trip to work. Write an equation that shows the relationship between the number of trips

to work x and the total distance cycled y.
Mathematics
1 answer:
Lady bird [3.3K]4 years ago
4 0

Answer:

The equation that represents the total distance travelled by numbers of times he goes to work by Michael is y = 4*x

Step-by-step explanation:

Since Michael has to travel 4 km each time he goes to work if he goes to work 2 times he'll have to travel 8 km, if he goes 3 times he'll have to travel 12 km. If we keep doing this we'll realize that the distance travelled by Michael is given by the number of times he goes to work multiplied by 4. The equation that represents that is:

y = 4*x

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AVprozaik [17]

\bold{\huge{\underline{ Solution }}}

<h3><u>Given </u><u>:</u><u>-</u></h3>

  • We have given Rhombus QRST
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<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>x </u>

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>

<u>Here</u><u>, </u><u> </u><u>We </u><u>have </u>

  • Rhombus QRST

<u>We </u><u>know </u><u>that</u><u>, </u>

  • All sides of rhombus are equal
  • Opposite sides of rhombus are parallel to each other

<u>Therefore</u><u>, </u>

<u>From </u><u>the </u><u>figure</u><u>, </u><u>we </u><u>can </u><u>conclude </u><u>that </u><u>:</u><u>-</u>

\bold{ 6x - 5 = 4x + 13 }

\sf{ 6x  = 4x + 13 + 5 }

\sf{ 6x -  4x =  13 + 5 }

\sf{ 2x =  18 }

\sf{ x = }{\sf{\dfrac{18}{2}}}

\bold{ x = 9 }

Hence, The value of x is 9 .

<h3><u>The </u><u>measurement </u><u>of </u><u>the </u><u>sides </u><u>of </u><u>rhombus </u><u>QRST</u><u> </u><u>:</u><u>-</u><u> </u></h3>

Length of side QR

\sf{ = 6x - 5 }

\sf{ = 6(9) - 5 }

\sf{ = 54 - 5 }

\bold{ = 49 }

Length of side RS

\sf{ = 4x + 13  }

\sf{ = 4(9) + 13 }

\sf{ = 36 + 13  }

\bold{ = 49 }

<u>From </u><u>above </u><u>we </u><u>can </u><u>say </u><u>that</u><u>, </u>

  • All sides of rhombus are equal.

<h3><u>Some </u><u>more </u><u>properties </u><u>of </u><u>rhombus </u></h3>

  • Opposite angles of rhombus are equal
  • Diagonals of rhombus bisect each other at 90°
  • Diagonals of rhombus also bisect the side angles of rhombus
  • Rhombus is a quadrilateral, so the sum of interior angles of rhombus are 360°
  • Whereas, The sum of the adjacent angles of rhombus are 180°.
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At the movie theatre, child admission is $5.10 and adult admission is $9.00 . On Monday, 163 tickets were sold for a total sales
EleoNora [17]

a = adult tickets

c = child

c + a = 163 tickets total

rewrite as c = 163-a

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5.10(163-a) + 9.00a = 1088.70

831.30-5.10a + 9.00a = 1088.70

831.30 +3.9a = 1088.70

3.9a = 1088.70-831.30

3.9a  = 257.40

a = 257.40 / 3.9 = 66

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One way to solve the system is to <u>substitute</u> a variable.

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The technique for tackling "by substitution" works by settling one of the conditions (you pick which one) for one of the factors (you pick which one), and afterward stopping this go into the other condition, "subbing" for the picked variable and fathoming for the other. At that point you back-explain for the principal variable.

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Step-by-step explanation:

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Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

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