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VLD [36.1K]
1 year ago
5

Four brothers each bought two hotdogs and a bag of chips at the concession stand.if the bag of chips was $1.25,and the total was

$18.20, what was the price of one hotdog
Mathematics
1 answer:
ahrayia [7]1 year ago
5 0

Answer:

  $1.65

Step-by-step explanation:

The total purchase can be described by ...

  4(2h +1.25) = 18.20 . . . . where h is the price of a hot dog

  8h = 13.20 . . . . . . . . . . . subtract 5.00

  h = 1.65 . . . . . divide by 8

The price of a hot dog was $1.65.

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Match each pair of points to the equation of the line that is parallel to the line passing through the points.
Paraphin [41]

we know that

If two lines are parallel, then, their slopes are equal.

The formula to calculate the slope between two points is equal to


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m=\frac{-5-2}{7-5}


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B(5,2)\ C(7,-5) ------> y=-3.5x-15

<u>Case B)</u> Point D(11,6)\ E(5,9)

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m=\frac{9-6}{5-11}


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The equation y=-0.5x-3 is parallel to the line passing through the points D(11,6)\ E(5,9)

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<u>the answer Part B) is</u>

D(11,6)\ E(5,9) ------> y=-0.5x-3

<u>Case C)</u> Point F(-7,12)\ G(3,-8)

Find the slope FG

Substitute the values in the formula

m=\frac{-8-12}{3+7}  

m=\frac{-20}{10}


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Any linear equation with slope m=-2 will be parallel to the line passing through the points F(-7,12)\ G(3,-8)

<u>Case D)</u> Point H(4,4)\ I(8,9)

Find the slope HI

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m=\frac{9-4}{8-4}


m=\frac{5}{4}


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The equation y=1.25x+4 is parallel to the line passing through the points H(4,4)\ I(8,9)

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H(4,4)\ I(8,9) ------> y=1.25x+4

<u>Case E)</u> Point J(7,2)\ K(-9,8)

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Substitute the values in the formula

m=\frac{8-2}{-9-7}


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Find the slope LM

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The equation y=5x+19 is parallel to the line passing through the points L(5,-7)\ M(4,-12)

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L(5,-7)\ M(4,-12) ------>  y=5x+19




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