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
Bingel [31]
2 years ago
10

A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a

ride from the airport is $7. The driver collected a total of $294 for the day. Let x represent the number of trips to the airport and y represent the number of trips from the airport. Write the ordered pair (x,y) that represents the solution in this situation.
Mathematics
1 answer:
OLga [1]2 years ago
7 0

Answer:

(15, 12)

Step-by-step explanation:

Let's generate two systems of equations that fit this scenario.

Number of trips to the airport = x

Number of trips from the airport = y

Total number of trips to and from the airport = 27

Thus:

x + y = 27 => equation 1.

Total price for trips to the Airport = 14*x = 14x

Total price of trips from the airport = 7*y = 7y

Total collected for the day = $294

Thus:

14x + 7y = 294 => equation 2.

Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.

7 × x + y = 27

1 × 14x + 7y = 294

Thus:

7x + 7y = 189 => equation 3

14x + 7y = 294 => equation 4

Subtract equation 4 from equation 3

-7x = -105

Divide both sides by -7

x = 15

Substitute x = 15 in equation 1

x + y = 27

15 + y = 27

Subtract both sides by 15

y = 27 - 15

y = 12

The ordered pair would be (15, 12)

You might be interested in
A publisher reports that 38%38% of their readers own a laptop. A marketing executive wants to test the claim that the percentage
Kruka [31]

Answer: - 0.71

Step-by-step explanation:

Let p = population proportion

po = sample proportion.

From the question,

p = 38% = 38/100 = 0.38

po = 32% = 32/100 = 0.32

Sample size (n) = 340.

Since our sample size is greater than 30 ( n= 340) we will be making use of a z test for our test statistics.

The population standard deviation of the data set is given below as

σ = √p(1 - p).

σ = √0.38 (1 - 0.38)

σ = √0.38 × 0.62

σ =√0.2356

σ = 0.49.

Z score = po - p/ (σ/√n)

Z score = 0.32 - 0.38/ (0.49/√340)

Z score = - 0.06 / 0.0266

Z score = - 0.71

6 0
3 years ago
QR is the midsection of triangle GHJ, what is the length of QR?
Xelga [282]

Answer:

Step-by-step explanation:

QR = 27 ÷ 2 = 13.5

6 0
3 years ago
I need help on this​
sdas [7]

Answer:

no

Step-by-step explanation:

yes

8 0
2 years ago
Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an
spin [16.1K]

Answer:

I think the answer would be $466.24.

3 0
3 years ago
Read 2 more answers
Kamala spent a total of $4.32 to buy
Ostrovityanka [42]
Each pencil costs 0.72 as you do 4.32 / 6
7 0
3 years ago
Other questions:
  • What is the next number in the sequence?<br> 1, 4, 13, 40, 121,...
    12·1 answer
  • A man can harvest his farm in 18 hours. his son can harvest the same farm in 12 hours. how long will it take them working togeth
    6·2 answers
  • What 4 coins add up to 45 cents ? <br> I probably know this it’s just it’s been a long day
    10·2 answers
  • Solution graphed below?
    6·1 answer
  • If a material has a high index of refraction, it has a 1 low optical density, and light travels more slowly through it. . high o
    7·1 answer
  • A small, test batch of lemonade used 1/4 cups of sugar added to 1 cup of water and 1/4 cup of lemon juice. After confirming it t
    11·2 answers
  • In triange ABC, AB=5 and AC=14. Find The measure of angle c to the nearest degree
    5·1 answer
  • A large bag or sugar weighs 7 1/2 lb. Gow Much does 1 1/4 bags of sugar weighs
    12·2 answers
  • Convert 920 centimeters to meters. help
    12·2 answers
  • A pole that is 12 feet tall casts a shadow
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!