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
boyakko [2]
3 years ago
5

Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 99. 

 Two adults and three children must pay $ 70.  Find the price of the​ adult's ticket and the price of a​ child's ticket.
Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

An adult ticket is 17

A childs ticket costs 12 dollars

Step-by-step explanation:

Let a = adult price

c = child price

3a + 4c = 99

2a + 3c = 70

Multiply the first equation by 2

2(3a + 4c) = 99*2

6a + 8c = 198

Multiply the second equation by -3

-3 (2a + 3c) = 70*-3

-6a -9c = -210

Add these new equations together

6a + 8c = 198

-6a -9c = -210

----------------------

     -c = -12

Multiply by -1

        c = 12

A childs ticket costs 12 dollars

Now we need to find the price of an adult ticket

2a + 3c = 70

2a + 3(12) = 70

2a +36 = 70

Subtract 36 from each side

2a +36-36 =70-36

2a = 34

Divide by 2

2a/2 = 34/2

a = 17

An adult ticket is 17

You might be interested in
Thirty-four and twelve hundredths in standard form
Lady bird [3.3K]
The answer would be 34 12/100 or 34 3/50
5 0
3 years ago
Read 2 more answers
In the currency pair USD/CAN, USD is the ____ ?
stiks02 [169]

Answer:

Quote currency.

Step-by-step explanation:

3 0
3 years ago
Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
rjkz [21]

Given:

The explicit function is:

f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}

To find:

f(1)=?,r=? and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

f(n)=ar^{n-1}            ...(i)

Where, a is the first term and r is the common ratio.

We have,

f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}         ...(ii)

On comparing (i) and (ii), we get

a=1000

f(1)=1000

And,

r=\dfrac{1}{4}

For n=1,

f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}

f(1)=1000\left(\dfrac{1}{4}\right)^{0}

f(1)=1000(1)

f(1)=1000

For n=2,

f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}

f(2)=1000\left(\dfrac{1}{4}\right)^{1}

f(2)=1000\times \dfrac{1}{4}

f(2)=250

Similarly, substituting n=3,4,5, we get

f(3)=62.5

f(4)=15.625

f(5)=3.90625

Therefore, f(1)=1000,r=\dfrac{1}{4} and the first five terms are 1000,250,62.5,15.625,3.90625.

5 0
3 years ago
Read 2 more answers
What is the outlier on a line plot of 6, 9, 3, 11, 26
NemiM [27]
26 because it is a lot bigger than all of the other numbers
A number a lot lower than all the other numbers could work too but not in this case
5 0
3 years ago
Jim gets a $20 allowance per week plus $25for every lawn he mows. If he made $345 in one week, how many lawns did he mow?
vichka [17]

This week the number of lawns "times" 25 and his allowance = $345

Therefore...

25x + 20 = 345

      - 20     -20

25x         = 325

Now divide both sides by the coefficient (25)... and that will be the number of lawns he mowed.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the median of 18 and 16
    9·2 answers
  • Please give me the answer to 8p+5=77?
    13·2 answers
  • I need to find the slope
    9·2 answers
  • How much tax is withheld from $45,580 if the tax rate is 4%?
    8·1 answer
  • three-quarters of students are wearing the school's colors. if there are 300 students how many are wearing the colors?
    10·1 answer
  • Write -12 7/8 as a decimal. (NEED ASAP WITH WORK)
    9·1 answer
  • Edward entered into a 5-kilometer<br> race. How many meters will he need<br> to run?
    8·1 answer
  • Disregard anything that is already answered I was guessing. I really need help.
    6·1 answer
  • What is the conjugate? See image below! Please help asap
    13·1 answer
  • Find the number that makes the ratio equivalent to 9:1 <br><br> Answer has to end with :8
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!