Answer:
A:
Misaki had 2 identical pencils that weighed a total of 19 grams, where x is the number of pencils and y is the total weight of the pencils.
Step-by-step explanation:
One of the points is 2 and 19, 2 is along the x axis and 19 is along the y axis
Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r. The general form of the equation for a circle is
. We will fill in accordingly:
. Solve for r to get that
Answer:
a) $2.44 per cupcake
b) $2.33 per cupcake
c) $2.58 per cupcake
Step-by-step explanation:
We are given the following in the question:
We have to calculate the unit price of the cupcakes.
Unit price =
12 cupcakes for $29
Unit price =
24 cupcakes for $56
Unit price =
50 cupcakes for $129
Unit price =
Answer:
5 people trust none of the candidates
Step-by-step explanation:
To know how many people surveyed trust none of the candidates we need to find:
- People that trust all three candidates: 5
- People that just trust candidate B and C: This is equal to people that trust candidate B and C less people that trust all three candidates. So it is equal to: 17 - 5 = 12
- People that just trust candidate A and C: This is equal to people that trust candidate A and C less people that trust all three candidates. So it is equal to: 12 - 5 = 7
- People that just trust candidate A and B: This is equal to people that trust candidate A and B less people that trust all three candidates. So it is equal to: 7 - 5 = 2
- People that just trus candidate C: This is equal to the people that trust candidate C less people that just trust candidate B and C less people that just trust candidate A and C less people that trust all three candidates. So, it is equal to: 48 - 12 - 7 - 5 = 24
- People that just trus candidate B: This is equal to the people that trust candidate B less people that just trust candidate B and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 44 - 12 - 2 - 5 = 25
- People that just trus candidate A: This is equal to the people that trust candidate A less people that just trust candidate A and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 34 - 7 - 2 - 5 = 20
Therefore, we can calculate how many people surveyed trust at least one candidate by the sum of the previous quantities as:
5 + 12 + 7 + 2 + 24 + 25 + 20 = 95
Finally, there are 100 people surveyed and 95 people trust at least one candidate, so 5 people trust none of the candidates.
