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Zinaida [17]
3 years ago
7

On a number line what is the distance between −61.5 and -23.4

Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0
In order to find the distance between -61.5 and -23.4 on the number line, you just have to subtract either the greater value to lesser value or lesser value to the greater value.  It doesn't matter when you get a negative difference because the distance should be the absolute value of the difference of two points on a number line.
Here's how you should do it.
   (-61.5) - (-23.4) = -61.5 + 23.4 =  l-38.1l = 38.1
or
   (-23.4) - (-61.5) = -23.4 + 61.5 = l38.1l = 38.1

As you can see above, I tried to subtract the two numbers in different order, and the result is still the same. Just make sure to get the absolute value of the answer because the distance should always be in positive form.

Therefore, the distance between -61.5 and -23.4 is 38.1
  

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Diano4ka-milaya [45]

Step-by-step explanation:

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3 0
3 years ago
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And check your answers. At the end of the activity, write a brief evaluation of your work.
Rashid [163]

Answer:

<em>16.5 gallons per minute.</em>

Step-by-step explanation:

The given table is:

\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50  \\  1.5 & 24.75  \\   2 & 33   \\\end{tabular}\end{center}

We are given this linear function in the form of table.

Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.

We can use slope intercept form to find the equation.

y=mx+c

Slope of a function:

m=\dfrac{y_2-y_1}{x_2-x_1}

x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50

m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5

This slope is the constant of proportionality.

i.e. the rate at which the number of gallons are changing per minute.

So, the answer is <em>16.5 gallons per minute.</em>

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Answer:

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