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3 years ago

Which relations represent functions?

Mathematics

1 answer:

Brut [27]3 years ago

8 0

The first and last represent functions, no function has an input with two separate outputs

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Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 79.

xxMikexx [17]

<u>Answer:</u>

Price of the adult's ticket = $13

Price of a child's ticket = $ 10

<u>Step-by-step explanation:</u>

Given:

Cost of train fares for Three adults and four children = $79

Cost of train fares Two adults and three children = $ 56

To Find:

Price of the adult's ticket and the price of a child's ticket =?

Solution:

Let the cost of one adult's ticket be x and

Let the cost of one child's ticket be y

Then

Three adults and four children must pay $ 79 be

3x + 4y = 79-----------------------------------------------(1)

Two adults and three children must pay $56

2x + 3y = 56----------------------------------------------(2)

multiply eq(1) by 2, we get

6x + 8y = 158----------------------(3)

multiply eq(2) by 3, we get

6x + 9y = 168----------------------(4)

Subracting (3) from (4)

6x + 9y = 168

6x + 8y = 158

(-) (-) (-)

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

0x + y = 10

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

y=10

Now substitute the value of y in eq (1) to get the value of x

3x + 4(10)= 79

3x + 40 = 79

3x = 79 - 40

3x = 39

x = $\frac{39}{3}$

x= 13

3 0

3 years ago

Find the area of a sundown that measures 3 yards by 3/4 yard.

juin [17]

To find this you multiply the 2 numbers together. 3*3/4=2.25.

2.25 in fraction form is $2 \frac{1}{4}$

3 0

3 years ago

tax on the original price of a bicycle is charged at 20% of the original price. After tax has been included, Mathew pays $1080 f

kicyunya [14]

Answer:

Original price of bicycle = $864

Step-by-step explanation:

Given:

Rate of tax = 20%

Price pay by Mathew = $1,080

Find:

Original price of bicycle

Computation:

Original price of bicycle = Price pay by Mathew[1 / (1-20%)]

Original price of bicycle = 1,080[1 / (1-20%)]

Original price of bicycle = 1,080[1 / (1-0.2)]

Original price of bicycle = 1,080[1 / (0.8)]

Original price of bicycle = 1,080[1.25]

Original price of bicycle = $864

6 0

2 years ago

Jackson ran 5/7 of the distance around the school track Sarah around 4/5 of Jackson's distance what fraction of the total distan

Ilia_Sergeevich [38]

Answer:

2/3 of the track

Step-by-step explanation:

5/7 • 4/5 is 2/3 so Sarah ran 2/3 around the track.

3 0

3 years ago

Three people whowork full time are working together on a project but their totaltime on the project is to be equivalent to that

Art [367]

The answer is (1/3). So first you need to determine the fraction of time the second person worked. Multiply (1/2)x(1/3) and you will get (1/6). All the values need to add up to 1, so you can make the equation (1/2)+(1/6)+x=1. Solve for x and you will get (1/3).

7 0

2 years ago