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
How to learn to divide
ElenaW [278]

Answer:

EX. 210/6

Step 1. Set up the equation, 210/6

Step 2. Divide the first digit/number   6 x 30 = 180            210 - 180 = 30

Step 3. rewrite the equation that is left,    30/6        6 x 5 = 30        30 - 30 = 0

Step 4. Only if need be for another equation, repeat step 1 and 2 until you have your answer

The Answer to the equation 210/6 is 35

Try 426/6 by yourself, please don't use a calculator.

4 0
3 years ago
Which postulate explains why a tripod will not tip over?
Feliz [49]
Tripod will not tip over because: a plane contains at least 3 noncollinear points .
Answer: B ) 
3 0
3 years ago
Read 2 more answers
Find x for brainiest
anastassius [24]

Answer:

x=36

Step-by-step explanation:

These angles added together equal 180 degrees

2x + 3x =180

5x = 180

x = 36

8 0
2 years ago
Read 2 more answers
Thanks for the help if u can answer!!
Helga [31]

if the minute hand of the <u>circular clock</u> is 28 inches, that simply means its radius is 28.


\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=28\end{cases}\implies A=\pi 28^2\implies A=784\pi


so it covers that much in 1 rotation, so in 4 rotations that'd be 4(784π) => 3136π.

3 0
3 years ago
I need the value of x
Phoenix [80]

Answer:

40°

Step-by-step explanation:

m\angle VRM +m\angle MRP=m\angle VRP\\\\x + 37\degree = 77\degree \\\\x = 77\degree - 37\degree \\\\x = 40\degree

7 0
2 years ago
Read 2 more answers
Other questions:
  • Tell me quick please
    9·2 answers
  • In a fruit cocktail, for every 28 ml of orange juice you need 14 ml of apple juice and 56 ml of coconut milk. What is the ratio
    15·1 answer
  • What is the probability of 7 out of n is 50%
    6·2 answers
  • The perimeter of this rectangle is 24cm. If the length is 8 cm, what is the height?
    11·2 answers
  • What is the answer ? Please
    8·1 answer
  • Find the percentage decrease if a players batting average dropped from 0.273 to 0.265 in one season.
    7·1 answer
  • A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a
    14·1 answer
  • An article in Technometrics (Vol. 19, 1977, p. 425) presents the following data on the motor fuel octane ratings of several blen
    7·1 answer
  • Which of the three runners have the fastest pace? Explain how you know.
    15·1 answer
  • Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack w
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!