Help!!!Geometry chapter three

1.5.5 Practice: Modeling: Best Ticket Deal

posledela

The best ticket deal are illustrations of linear equations

The ticket system is a better deal to the max ticket

<h3>How to determine the best ticket deal</h3>

From the complete question, we have the following summary:

<u>Ticket System</u>

Charges = $22 per person

Surcharge = $10 per transaction

<u>Max Tickets</u>

Charges = $20 per person

Surcharge = $16 per transaction

Assume there would be only one transaction, the linear equations that represent the ticket deals are:

Ticket System: y = 22x + 10

Max Ticket: y = 20x + 16

The costs of ticket for two people in both deals are:

Ticket System: y = 22*2 + 10 = 54

Max Ticket: y = 20*2 + 16 = 56

By comparison;

54 is less than 56

This means that the ticket system is a better deal to the max ticket

Read more about linear equations at:

brainly.com/question/14323743

4 0

1 year ago

On a certain airline, customers are assigned a row number when they purchase their ticket, but the four seats within the row are

maksim [4K]

Answer:

The probability that they sit next to each other is 50%.

Step-by-step explanation:

Consider the provided information.

It is given that there are four seats within the row are first come, first served during boarding.

There are 4 seats and 2 customers (Karen and Georgia)

The total number of ways in which Karen and Georgia can sit is: $^4C_2$

Now if they will sit together, then consider Karen and Georgia as a single unit.

Thus, the number of ways in which they can sit together is: $^3C_1$

The required probability is:

$P=\frac{^3C_1}{^4C_2} \\\\P=\frac{3}{6}\\\\P=\frac{1}{2}$

Hence, the probability that they sit next to each other is 50%.

6 0

2 years ago

A farmer is building a new silo. The circular silo is 27 meters tall and has a radius of 14 meters. What is the area of the base

Aleks [24]

Answer:

Step-by-step explanation:

The base of the silo is a circle

Rea of the base of the silo = πr²

r is the radius of the silo

Given

radius r = 14m

Area of the base of the silo = π(14)²

Area of the base of the silo = 3.14(196)

Area of the base of the silo = 615.44

<em>Hence the area of the base of the silo is 615.44m²</em>

3 0

2 years ago

"Tim's lawn is 20 meters by 30 meters. If Tim can mow 8 square meters of grass per minute, how long will it take him to mow the

frosja888 [35]

One hour and a half

5 0

2 years ago

A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the

Amanda [17]

Answer:

The measure of the third arc is $150\°$

Step-by-step explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

$42\°=\frac{1}{2}(x-y)$

$84\°=(x-y)$ ----> equation A

$\frac{x}{y}=\frac{7}{3}$

$x=\frac{7}{3}y$ -----> equation B

Substitute equation B in equation A and solve for y

$84\°=(\frac{7}{3}y-y)$

$84\°=(\frac{4}{3}y)$

$y=3*84\°/4=63\°$

Find the value of x

$x=\frac{7}{3}(63\°)=147\°$

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

$x+y+z=360\°$ -----> complete circle

substitute the values and solve for z

$147\°+63\°+z=360\°$

$z=360\°-(147\°+63\°)=150\°$

3 0

2 years ago