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Ivenika [448]
3 years ago
7

Find the distance between the two numbers on a number line. Write your answer as a mixed number.

Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

We conclude that the distance between the two numbers on a number line will be: 322

Step-by-step explanation:

Given the numbers

-212

-534

There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.

But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.

so

Distance between the numbers:

\left|-212-\left(-534\right)\right|

Apply rule: -(-a) = a

=\left|-212+534\right|

=\left|322\right|

Apply absolute rule:   \left|a\right|=a,\:a\ge 0

=322

Therefore, we conclude that the distance between the two numbers on a number line will be: 322

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E and A

Step-by-step explanation:

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3 years ago
Suppose Sally has $28.00 in her bank account and starts saving $18.25 every week. Her friend Suzy has $161.00 in her bank accoun
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a.

Sally has $28.00 in her bank account and starts saving $18.25 every week.

Let x represent the number of weeks from when he have $28.00 in her account.

and y represent the amount in her account at week x;

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y=mx+b

where m is the amount she saves every week, and b the initial amount in her account.

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So, the function will be;

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b.

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Using the same rule as in a above;

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y=-15x+161

c.

The graph of the two functions is shown below;

d.

The point where the two lines intersect is shown in the graph above.

The point is at;

(4,101)

Which is at week 4 and balance $101.

e.

The point at which they intersect is the point where they both have the same values.

It is the week when both Sally and Suzy have the same amount in there account.

So, at the fourth week (week 4) Sally and Suzy both have $101 in their account

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