hoytkeke6776
19.12.2019 •
Mathematics
Agroup of 42 people go to the zoo. the admission price is 6$ for adults and 3$ for kids. if the group spent 162$, how many adults and kids were in the group?
Solved
Show answers
More tips
- S Science and Technology Exploring Our Galaxy: How Many Planets are in the Milky Way?...
- W Work and Career Can Skill Alone Make You a Professional?...
- C Computers and Internet How to Top Up Your Skype Account Without Losing Money?...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
Answers on questions: Mathematics
- M Mathematics According to an airline, flights on a certain route are on time 85% of the time. suppose 17 flights are randomly selected and the number of on-time flights is recorded. (a) explain...
- M Mathematics What freedoms are being taken away from women when people don’t believe in feminism or see it as a negative? write a short paragraph...
- M Mathematics What is the least amount of sap any one tree produced...
- M Mathematics The probability that a student takes an english class and a math class is 0.084. the probability that a student takes an english class is 0.49. what is the probability that a student...
- M Mathematics 55 to the negative 2nd power...
- M Mathematics Find the next two terms of the sequence 10,4,-2,-8...
- M Mathematics Asquare pyramid has a height of 18 cm. a side length of the base is 11 cm. what is the volume of the pyramid? enter your answer in the box. cm³...
- M Mathematics How do you solve 6b + 14 = –7 – b...
- M Mathematics Abookstore sold 18,000 paperbacks one month. this was 10% less than the number of paperbacks the store sold the previous month. the following equation represents this situation, where...
- M Mathematics Wes and tom are buying rare coins for $9,500 and investing money in the ratio of 3 to 2. how much will each man invest?...
Ответ:
12 adults , 30 kids
Step-by-step explanation:
Let x represent the number of adult and y represent the number of kids , then from the first statement ;
x + y = 42 equation 1
For adults , the admission price is $6, the total cost for x adults will be 6x, Also , the admission price for kids is $3 ,this means that the total cost for y kids is 3y. The group spent $162 in all , this means that
6x + 3y = 162 equation 2
Solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is
x = 42 - y equation 3
substitute x = 42 - y into equation 2 , we have
6(42 - y ) + 3y = 162
252 - 6y +3y = 162
252 - 3y = 162
Add 3y to both sides of the equation , we have
252 = 162 + 3y
subtract 162 from both sides of the equation
252 - 162 = 3y
90 = 3y
divide through by 3
Therefore : y = 30
substitute y = 30 into equation 3 ,that is
x = 42 - y
x = 42 - 30
x = 12
Therefore : there are 12 adults and 30 kids
Ответ:
16 km due west
Step-by-step explanation:
The bearing of the school p from school q is 16 km due west.
To find the bearing of school q from school p, we have to find the direction that the school q is with respect to school p.
Since p is directly west of q, then it implies that q must be directly east of p.
We now know the direction.
Since the distance from q to p is exactly the same as the distance from p to q, then, the distance from p to q is 16 km.
Hence, the bearing of q from p is 16 km due west.