What is the sum of the positive integers k such that k/27 is greater than 2/3 and less than 8/9?

2 answers:

8 0

So we want to make them have the same denomenator so

k/27
2/3 times 9/9=18/27
8/9 times 3/3=24/27

so k/27>18/27 and k/27<24/27 or
18/27<k/27<24/27

the possible numbers for k are 19,20,21,22,23
so the sum of the positive integers could be any positive whole numbers (1,2,3,4, etc) that add up to 19,20,21,22,23 exg 10,9 10,10 10,11 20,2 21,2 etc

Alexeev081 [22]3 years ago

4 0

$\dfrac{k}{27}>\dfrac{2}{3} \wedge \dfrac{k}{27}18 \wedge k$

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You start driving north for 7 miles, turn right, and drive east for another 24 miles. At the end of driving, what is your straig

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Answer:

$AC = 25\ miles$

Step-by-step explanation:

Given:

Distance for north side = 7 miles.

Distance for east side = 24 miles.

We need to find the displacement.

Solution:

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Using Pythagoras theorem to find displacement (AC).

$(AC)^{2}=(AB)^{2}+(BC)^{2}$