Ted asked 100 people to vote for their favorite zoo animal. The results are shown in the circle graph.
2 answers:
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Answer:
3 1/8 packages of beads
Step-by-step explanation:
We know that Darnell uses 1 1/4 packages of beads to make 10 bracelets. In order to find how many packages of beads he'll need for 25 bracelets, we set up a proportion:
, where x is the number of packages needed
Cross-multiply:
25 * 1 1/4 = 10x
1 1/4 is just 1.25 in decimal form, so:
25 * 1.25 = 10x
31.25 = 10x
x = 3.125 = 3 1/8
So, Darnell will use 3 1/8 packages of beads.
<em>~ an aesthetics lover</em>
Answer:
He subtracted -5 from both sides, not -6
Step-by-step explanation:
The inequality that we have to solve in this problem is
To solve the inequality, we proceed as follows:
1)
First, we isolate the term in x. To do that, we add -6 on both sides of the inequality, and we find:
So, this is now the new inequality.
2)
Then, we divide both sides of the equation by 5; we get:
3)
Finally, we change sign to the inequality, so we get:
So, the student's error is that he subtracted -5 from both sides, not -6.
Answer:
(12,10)
Step-by-step explanation:
Let the midpoint of the side opposite this vertex have coordinates B(a,b)
We have the centroid at C(8,7) and the vertex of the triangle at A(0,1).
The centroid divides AB internally in the ratio 2:1
We use the formula:
where m:n=2:1 is the ratio of internal division.
We substitute the coordinates of A and B and the ratio to get:
This should simplify and give us the centroid.
This implies that:
We solve for a and b
Therefore the midpoint of the side opposite this vertex is (12,10)