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3 years ago

Please help me with this

Mathematics

1 answer:

anastassius [24]3 years ago

7 0

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

radius = 12 ft

Circumference = ?

Process

The Circumference is the length of the border of a circle. To find the length of this border, just use the formula, substitute the radius and pi and simplify.

Formula

Circumference = 2πr

Substitution

Circumference = 2(3.14)(12)

Simplification

Circumference = 75.36 cm

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A one-way train ticket from New York to Los Angeles costs $197 for a reclining seat, and $490 for a twin-sharing room. How much

Alex777 [14]

The total cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms is (197x + 98y) dollars

Solution:

Given that,

Cost for reclining seat = $ 197

Cost for twin sharing room = $ 490

We have to find the cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms

Cost for reclining room when "x" passengers booked is:

Cost for reclining room = $ 197x

Cost when One fifths y passengers booked twin-sharing rooms

Cost for twin sharing room = $\frac{1}{5} \times y \times 490$

Cost for twin sharing room = 98y

Total cost is given as:

Total cost = Cost for reclining room "x" passengers + Cost for twin sharing room for one fifths y passengers

$Total\ cost = 197x + 98y$

Thus total cost is (197x + 98y) dollars

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tickets at a particular movie theater have different rates for adults and children. On tuesday the theater sold 8 adult tickets

gizmo_the_mogwai [7]

Answer:

Adult = $15 pp

Child = 46 pp

Step-by-step explanation:

Let A and C be the price of Adult and Child's tickets, respectively.

We can set up equations for each of the two days, Tuesday and Wednesday. Each equation adds the totals paid for the two ticket levels and set it equal to the total income for that day:

Tues: 8A+9C=174

Wed: 5A+7C=117

We have two equations and two unknowns. Let's manipulate one of the equations in a way that allows us to eliminate one of the two variables, A or C. [One can also solve either equation to isolate one of the variables, and then use that in the second equation.]

I chose to multiply the first by 5 and the second by -8, in order to make the coefficients for A the same value in both equations, but opposite in sign:

Tues: 40A+45C = 870 [Multiply by 5]

Wed: -40A -56C = -936 [Multiply by -8]

-11C = -66 [Add the two equations]

C = 6 [Ta Da. Now use this price for a child's ticket in either of the original equations to find the cost of an adult ticket.]

8A+9C=174

8A+9*(6)=174

8A+54=174

8A = 120

A = 15

====

Use these two prices in the original equations to see if they indeed add up to the correct totals for each day.

Total Sales

Price Tues Wed Tues Wed

A 15 8 5 120 75

C 6 9 7 54 42

174 117 174 117 [The prices are correct]

Adult is $15 and child is $6

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