He drank more than half of his drink... So we need to look for fractions greater than 1/2.
First, lets find equivalents of 1/2

If all of these fractions are equal to 1/2, then by adding to the numerator of these fractions, we'l have fractions greater than 1/2.
2 +1 3
__= ___
4 4
3/4 is greater than 1/2
Mike could have drunken 3/4 of the juice
4/6>1/2 Mike could have drunken 4/6 of the juice
5/8 is greater then 1/2 Mike could have drank 5/8 of the drink.
Answer=3/4, 4/6, 5/8 and many more possible fractions
Answer:
Step-by-step explanation:
Given :
Total students = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
To find: Venn diagram
Solution:
Total students = 30 i.e. U = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
Students passed only chemistry = 20-6 =14
Students passed only Physics = 14-6=6
So refer the attached figure for the Venn diagram
Answer:
Solving the inequality
we get 
The graph of the inequality is shown in figure attached.
Step-by-step explanation:
We need to Solve each compound inequality 
Solving the inequalities
For solving compound inequalities we solve both inequalities simultaneously and find the value of m.
For solving 5+m > 4, we subtract 5 from both sides.
While solving 7m < -35, we divide both sides by 7 to get value of m
Applying these functions we get:

So, solving the inequality
we get 
The graph of the inequality is shown in figure attached.
Answer:
27
Step-by-step explanation:
To solve for the time an object takes to hit the ground, the equation
<em>y</em> <em>= y₀ + v₀t + ½gt²</em>, or just <em>0 = y₀ +½gt²</em> since there is no initial velocity and the final y position is 0 (since it is on the ground). Therefore, <em>t = (−2y₀/g)^½.</em>
(-2*60/-9.8)^½ = 3.50 seconds.
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