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bazaltina [42]
2 years ago
7

Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
8 0

Answer:

Part A:

1.40x+8.00=C

Part B:

1.40x+8=26

        -8   -8

1.40x=18

/1.40    /1.40

x=11 total rides

Step-by-step explanation:

An expression to represent this would be 1.40x+8.00=C (C is total cost).

If you had $26.00 you would first spend $8.00 on the entry leaving you with $18.00. Then you would divide the $18 by $1.40 for each ride to get 12.8... It doesn't make sense to go on a fraction of a ride so you just round down to 11 rides

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jolli1 [7]

Answer:

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Step-by-step explanation:

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3 years ago
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write an equation in slope intercept form of a line that passes through the point (14,8) and is (a) parallel (b) perpendicular t
LenKa [72]

Slope-intercept form:

y = mx + b       "m" is the slope, "b" is the y-intercept (the y value when x = 0)


First find the slope of the line that passes through (4,9) and (-3,6).

Use the slope formula and plug in the two points:

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

m=\frac{6-9}{-3-4}

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A.) For lines to be parallel, their slopes have to be the same.

Since the given line's slope is 3/7, the parallel line's slope is also 3/7


y = 3/7x + b    To find "b", plug in the point (14,8) into the equation

8 = 3/7(14) + b

8 = 42/7 + b

8 = 6 + b    Subtract 6 on both sides

2 = b


y=\frac{3}{7}x+2



B.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 3

perpendicular line's slope is -1/3

slope is -2/3

perpendicular line's slope is 3/2


Since the given line's slope is 3/7, the perpendicular line's slope is -7/3

y = -7/3x + b    Plug in (14, 8) to find "b"

8 = -7/3(14) + b

8 = -98/3 + b   Add 98/3 on both sides

8 + 98/3 = b       Make the denominators the same

24/3 + 98/3 = b

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7 0
3 years ago
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Drupady [299]

Answer:

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*PLEASE HELP ME* (math attachment) IT'S PAST MIDNIGHT I'M TIRED AND DESPERATE
Luda [366]
<h3><u>Answer:</u></h3>

D

<h3><u>Step-by-step explanation:</u></h3>

let's rewrite this

x + y = 11                  <em>- equation 1</em>

   - x = - y - 9           <em>- equation 2</em>

solve the first equation for x

x + y = 11            (add -y to both sides to get x by itself)

     x = -y + 11          <em> - equation 3</em>

now substitute -y + 11 for x in the second equation

 y - 11 = - y - 9        (2 negative signs next to each other equals positive)

2y - 11 = -9              (add y to both sides)

      2y = 2               (add 11 to both sides)

        y = 1                (divide both sides by 2)

now substitute y = 1 into equation 3

x = -1 + 11

x = 10

therefore, x = 10 and y = 1. in coordinates, x goes before y

therefore, the coordinates are (10, 1)

therefore the answer is D

good luck my friend! hope this helped a lot! also, i found a website if you don't fully understand this, its called MathPapa, i didn't use it to work this out so my working might be different but it definitely helps me sometimes. for an equation like this, type it likes this: x+y=11; -x=-y-9

-cheesetoasty

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