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Zepler [3.9K]
3 years ago
14

When comparing proportional relationships, is important to

Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer:A. Identify the rate of each scenario.


Step-by-step explanation: You want to find the unit rate of the problem for example If you have 4 tickets to go to a game each ticket cost 5$ what is the rate(must divide)


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why am i suprised when people leave me? like its not new...why would someone wanna stay around me like...lifes just ughhh nd im
Solnce55 [7]

Answer:

I'm sorry for what you are going through, I went through something similar and it gets better

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A stack of 5 books weighs 9.5 pounds. If each book weighs the same amount, how much does each book weigh?
hjlf

Answer:  The same amount of book weighed is 14.5.

Step-by-step explanation:

So there is 5 books

9.5 pounds

9.5 + 5 = 14.5

So, Each book weighs about 14.5.

8 0
3 years ago
|1/2b-8|=|1/4b-1|<br> b=____ and ____
Deffense [45]

Answer:

  b = 12 and 28

Step-by-step explanation:

The absolute value equation |1/2b-8| = |1/4b-1| resolves to a piecewise linear function with three pieces. There are two solutions.

<h3>Domains</h3>

The absolute value function on the left has a turning point where its value is zero:

  1/2b -8 = 0

  b -16 = 0

  b = 16

The absolute value function on the right has a turning point where its value is zero:

  1/4b -1 = 0

  b -4 = 0

  b = 4

For b > 16, both absolute value functions are identity functions. In this domain, the equation is ...

  1/2b -8 = 1/4b -1

For 4 < b < 16, the function on the left negates its argument, so the equation in this domain is ...

  -(1/2b -8) = 1/4b -1

For b < 4, both functions negate their arguments, so the equation in this domain is ...

  -(1/2b -8) = -(1/4b -1)

For the purpose of finding the value of b, this is effectively identical to the equation for b > 16. (The value of b does not change if we multiply both sides of the equation by -1.)

<h3>Solutions</h3>

<u>Domain b < 4 ∪ 16 < b</u>

  1/2b -8 = 1/4b -1

  2b -32 = b -4 . . . . . . . . multiply by 4

  b = 28 . . . . . . . . . . . . add 32-b to both sides

This solution is in the domain of the equation, so is one of the solutions to the original equation.

<u>Domain 4 < b < 16</u>

  -(1/2b -8) = 1/4b -1 . . . . equation in this domain

  -2b +32 = b -4 . . . . . . multiply by 4

  36 = 3b . . . . . . . . . . . add 2b+4 to both sides

  12 = b . . . . . . . . . . . . divide by 3

This solution is in the domain of the equation, so is the other solution to the original equation.

<h3>Graph</h3>

For the purposes of the graph, we have define the function g(b) to be the difference of the two absolute value functions. The solutions are found where g(x) = 0, the x-intercepts. The graph shows those to be ...

  b = 12  and  b = 28

__

<em>Additional comment</em>

Defining g(b) = |1/2b-8| -|1/4b-1|, we can rewrite it as ...

  g(b)=\begin{cases}7-\dfrac{1}{4}b&\text{for }b < 4\\-\dfrac{3}{4}b+9&\text{for }4\le b < 16\\\dfrac{1}{4}b-7&\text{for }16\le b\end{cases}

Then the solutions are the values of b that make g(b) = 0.

4 0
2 years ago
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
Anna007 [38]

Answer:

Segment EF is twice as long as segment AB.

The length of segment EH is 16 units.

Step-by-step explanation:

its

8 0
3 years ago
The ratio of male drivers to female drivers with parking passes at Gladstone High School is 5:3. If there are 64 students with p
nlexa [21]

Answer:

24

Step-by-step explanation:

Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case

5*8 and 3*8 = 64

3*8 = 24

5*8 = 40

There are 24 girls

6 0
3 years ago
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