Both circle A and circle B have a central angle measuring 135°. The ratio of the radius of circle A to the radius of circle B is 4/7. If the length of the intercepted arc for circle A is 1/2π, what is the length of the intercepted arc for circle B?

Using linear functions, it is found that:

a) The cheaper costs are given as follows:

• Bowling alley A: 3 or more games.

• Bowling alley B: 1 or 2 games.

b) Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

• The cost to rent shoes is the intercept.

• The cost per game is the slope.

Hence the cost functions are given as follows:

• A(x) = 3.75 + 4x.

• B(x) = 2.5 + 4.5x.

The costs are equal when:

A(x) = B(x)

3.75 + 4x = 2.5 + 4.5x

0.5x = 1.25

x = 1.25/0.5

x = 2.5.

Hence the cheaper costs are given as follows:

• Bowling alley A: 3 or more games.

• Bowling alley B: 1 or 2 games.

Alley B has the lower initial cost due to the lower cost for the pair of shoes.

For item b, if we increase the cost per game by $0.50 for alley A, we have that:

A(x) = 4.5x + 3.75.

Hence:

Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

Answer:

Step-by-step explanation:

2 × 1 = 2

2 × 2 = 4

2 × 3 = 6

2 × 4 = 8

2 × 5 = 10

2 × 6 = 12

2 × 7 = 14

2 × 8 = 16

2 × 9 = 18

2 × 10 = 20

2 × 11 = 22

2 × 12 = 24

Hope this helped you!

Answer:

4 is the answer

are u asking multiply of 2 by 2

Step-by-step explanation:

2 multiply 2 = 4

Final answer:

To find the number of students who haven't given their speeches, subtract the number of students who have given their speeches from the total number of students. Yesterday, 14 students gave their speeches and today, 25 more students gave their speeches. So, there are 41 students who still haven't given their speeches.

Explanation:

To find the number of students who haven't given their speeches, we need to subtract the number of students who have given their speeches from the total number of students.

Yesterday, 14 students gave their speeches, so there are 80 - 14 = 66 students remaining.

Today, 25 students gave their speeches, so there are 66 - 25 = 41 students who still haven't given their speeches.

Learn more about Number of students remaining here:

brainly.com/question/37834213

#SPJ2