1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
grandymaker [24]
3 years ago
8

Ms. Corley wants to take her class on a trip to either the nature center or the zoo the nature center charges $4 per student plu

s $95 for a one hour naturalist program. The zoo charges $9 per student plus $75 for a 1 hour tour guide
A. Solve the system of equations to represent this situation

B. Solve the system of equations algebraically. Interpret the solution.

C. Ms. Corley has 22 students in her class. Determine which would cost less, the nature center or the zoo


PLZZZ HELP!!
Mathematics
2 answers:
Tasya [4]3 years ago
7 0

Answer:

Step-by-step explanation:

Ms. Corley wants to take her class on a trip to either the nature center or the zoo.

Let the charge for the trip is y and number of student in the class be x.

For Nature center ⇒

Nature center charges $4 per students plus $95 for an hour.

Cost of the trip y = 4x + 95 ----------(1)

For Zoo ⇒

Zoo charges $9 per student plus $25 for one hour

Cost of the trip  y = 9x + 75 ------------(2)

(A) To solve the system of equations we will equate the value of y from equation (1) and (2)

y = 4x + 95 = 9x + 75

9x - 4x = 95 - 75

5x = 20

x = 4

and y = 4 × 4 + 95

         = 16 + 95

         = 111

(B) If Ms. Corley's class has 4 students then cost of the trip will be $111

(C) Cost of the trip to nature center = 4 × 22 + 95

                                                          = 88 + 95 = $183

Cost of the trip to the zoo = 9 × 22 + 75 = 198 + 75

                                             = $273

Therefore, cost of trip to the Nature center will be less.

lianna [129]3 years ago
3 0
X- class members
y-total cost of a trip
The nature center: y=4$*x+95$
The zoo: y=9$*x+75$
4x+95=9x+75⇒5x=20⇒x=20/5
x=4, y=111
<span>If Ms. Corley has 22 students in her class, cost for nature center would be 4$*22+95$=183$ and for the zoo 9$*22+75$=273$.
The zoo would cost less.
</span>
You might be interested in
In a chess tournament, each player plays every other player exactly once. If it is known that 105 games were played, how many pl
diamong [38]

Answer:

15 players played in the chess tournament.

Step-by-step explanation:

When there are 15 players, the first player plays 14 games and step aside.

remaining 14 player

next player plays 13 games. steps aside

remaining 13 players

next player plays 12 games. steps aside

remaining 12 players

next player plays 11 games. steps aside

remaining 11 players

.

.

.

.

Last player plays 1 game and steps aside

remaining 1 player who will not play against himself.

∴ Sum of all games played

= 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105 games played

3 0
3 years ago
A scale drawing has a scale of 1/4in. :12ft. Find the length on the drawing for each actual length. 8ft
UNO [17]
The other part of your ratio is missing
8 0
3 years ago
Find the surface area and volume of a cylinder with a diameter equal
dangina [55]

Answer:

Volume = 1539.38 cm³

Surface Area = 747.7 cm²

Step-by-step explanation:

Volume = πr² h

V = π(7)²(10)

V = π(49)(10)

V = 490π

V = 1539.38 cm³

Surface Area = 2πrh + 2πr²

SA = 2π(7)(10) + 2π(7)²

SA = 2π(70) + 2π(49)

SA = 140π + 98π

SA = 238π

SA = 747.7 cm²

8 0
2 years ago
How did you figure out the answers ? how did you work it out ?
Maksim231197 [3]
How did who figure out what answer?
7 0
3 years ago
14K gold hoop earrings are on sale for 50 cents off. They normally sell for $75.00 a pair. How much did Elizabeth save on 2 pair
KonstantinChe [14]

Answer: $1

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • If the time period of a vibrating body is 0.4 s, then it’s frequency is
    10·1 answer
  • Need help with this assignment please
    7·2 answers
  • The garden has an area of 28 square meters. The length of the garden is 7 meters. What is the width of the garden?
    6·2 answers
  • 90 students were surveyed about their favorite subject in school between Math and Social Studies. How many students chose only m
    12·1 answer
  • How do you work out the gradient of a line?
    8·1 answer
  • Which of the following is TRUE about a TCF Free Student Checking Account?
    7·2 answers
  • What are the steps to solve 650÷2/3
    11·2 answers
  • The Hogwarts Express train has reduced its one-way fare from 360 galleons to just 270 galleons. What is the percentage decrease
    10·1 answer
  • MARIA IS GOING FOR A RUN. AFTER 20 MINUTES, SHE HAS
    7·1 answer
  • 4/5 - 1/2 plz help i neeeeeeeeeed to know plz plz plz plz
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!