Carol has 6 2/9 cups of snack mix to put into plastic bags, so she would need 6 plastic bags and she would have 2/9 of snack mix left over.
Answer:
One fourth of the caps are blue with tassels.
Step-by-step explanation:
Take 7/11 of the caps with tassels, which boils down to (7/11)(11/28), or 1/4.
One fourth of the caps are blue with tassels.
Answer:
Explanation:
The 
th term of an arithmetic sequence is explicitly defined as 
where 
is the first term of the sequence and 
is the the common difference.
From the given first five terms of the sequence we can see that the first term is 
so 
.
The common difference, , can be calculated by 
so we'll find the common difference of the given sequence by letting 
.
Now let's plug everything we know.
Answer:
m∠1 = 92°
Step-by-step explanation:
∠2 corresponds to the supplement of ∠3 if (and only if) lines a and b are parallel. We find that
m∠2 + m∠3 = 73° +107° = 180°
so, the angles are supplementary and lines a and b are parallel.
Angles 4 and 1 are corresponding angles where the line d crosses the parallel lines a and b, so are congruent.
m∠1 = m∠4 = 92°
