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Alex17521 [72]
3 years ago
9

A wheelchair ramp rises 1.5 feet for every 18 feet of horizontal distance it covers. Find the rate of change of the ramp

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0
By definition the rate of change of a function is given by:
 AVR =  \frac{Change In Y}{Change In X}
 Or equivalently:
 AVR = \frac{y2 - y1}{x2 - x1}
 Substituting the values given in the problem we have:
 AVR = \frac{1.5}{18}
 Rewriting we have:
 AVR = 0.08
 Answer:
 
the rate of change of the ramp is:
 
AVR = 0.08
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3. Yes the cost of each item is proportional because in each pack each t-shirt cost $2.33. You can check that by dividing the amount of money each pack cost by the amount of shirts in each pack. For example the pack of 3 is $7, so 7/3 = $2.33. The pack of 5 cost $11.65, so 11.65/5 = $2.33. And the pack of 7 cost $16.31, so 16.31/7 = $2.33

4) Yes, it is proportional because each x is being squared or multiplied by it’s self.
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2 years ago
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Multiply 631.6 by 0.8​
pentagon [3]

Answer: multiply 631.6 by 0.8​ = 505.28

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2 years ago
Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par
ozzi

Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

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1. La suma de dos números es 115. El número mayor es dos veces más 22 unidades que el otro. Hallar
Lerok [7]

De acuerdo con un sistema de ecuaciones, tiene-se que los números son 31 y 84.

----------------

  • En el sistema de ecuaciones, tiene-se que los números son x e y.
  • Suma de 115, o sea, x + y = 115
  • <u>El número mayor es dos veces más 22 unidades que el otro</u>, o sea, x = 2y + 22

----------------

Primero se encuenta el número menor, <u>reemplazando la segunda ecuación en la primera:</u>

x + y = 115

2y + 22 + y = 115

3y = 93

y = \frac{93}{3}

y = 31

----------------

El número mayor es dado en <u>función de el menor</u>, o sea:

x = 2y + 22 = 2(31) + 22 = 62 + 22 = 84

Los números son 31 y 84.

Otro problema resuelto por sistema de ecuaciones es dado en brainly.com/question/24637096

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2 years ago
The greater of two consecutive EVEN numbers is 40 less than twice the smaller number. Find the larger number
Bas_tet [7]

Answer:

<h3>           44</h3>

Step-by-step explanation:

z -  some integer

2z - first given even integer (the smaller one)

2z+2 - even integer consecutive to 2z  (the larger one)

2(2z)    - twice the smaller number

2(2z) - 40    - the number 40 less than twice the smaller number

2(2z) - 40 = 2z + 2

4z - 40 = 2z + 2

2z = 42

 

2z+2 = 42+2 = 44

check:

2(2z)-40 = 2(42)-40 = 84-40 = 44

3 0
3 years ago
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