Answer:
That day 51 child tikets were sold
Step-by-step explanation:
To do this problem we have to make 2 equations, one that represents the number of entries and the other that represents the money
x = child tickets
y = adult tickets
x + y = 132
x * $5.20 + y * $9.00 = $994.20
First we have to solve for the x in the first equation
x + y = 132
x = 132 - y
Now we replace the x with (132 - y) in the second equation
x * $5.20 + y * $9.00 = $994.20
(132 - y) * 5.20 + y * 9.00 = 994.20
686.4 - 5.2y + 9y = 994.2
-5.2y + 9y = 994.2 - 686.4
3.8y = 307.8
y = 307.8/3.8
y = 81
We replace y with its value in the first equation
x = 132 - y
x = 132 - 81
x = 51
That day 51 child tikets were sold
Answer:
The formula that represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A) is .
Step-by-step explanation:
We are given the area of an Equilateral triangle which is A = . And we have to represent the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).
So, the area of an equilateral triangle =
where, s = side of an equilateral triangle
A =
Cross multiplying the fractions we get;
Now. moving to the right side of the equation;
Taking square root both sides we get;
Hence, this formula represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).
Every 1/4 mile it places a sign.
So we need to find out how many 1/4 mile there is in the total 2 miles.
To know that: We carry out 2 divide 1/4
2 / (1/4)
2 * 4/1
= 8
So there are eight (8), 1/4 miles on the 2 miles of road.
8
Hope this explains it.
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.