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5 votes
Vhat value of p makes the equation true? 3/4p + 1/6= 2/3​

User UrmLmn
by
5.2k points

2 Answers

4 votes

The long way to do this is to plug each value from the list {1, 2, 3, 4, 5, 6, 7, 8, 9} into the inequality 4p-p < 13 to see which make the inequality true. Those values are then recorded for the final answer.

The shorter way is to use algebra to solve for p

4p-p < 13

3p < 13

3p/3 < 13/3

p < 4.333 which is approximate

Since we're dealing with whole numbers from the original list, we can round 4.333 up to the nearest whole number and we now have p < 5

So the solutions would be 1,2,3,4 as they all make 4p-p < 13 true

The values 5 and higher would make 4p-p too large

hope this helps!!!!

User GeekNinja
by
4.9k points
7 votes

Answer:

p=2/3

Explanation:

3/4p+1/6=4/6

3/4p=4/6-1/6

3/4p=3/6

3/4p=1/2

p=2/3

User DaniPaniz
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5.0k points