Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?

Answers

Answer 1
Answer:

Let

c--------> the total cost

x------> the number of tickets

z------> the cost of one ticket without service fee

we know that

108=5.50+5z

solve for z

combine like terms

5z=108-5.50

5z=102.50

z=\$20.50

The linear function is equal to

c=5.50+20.50x

therefore

the answer is

c=5.50+20.50x

Answer 2
Answer:

Answer:

A. C (x) = 5.50 + 20.50x

Step-by-step explanation:

Got Correct On MyPath.


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PLEASE HELP If log a = b which of the following is true? (see attachment)

Need help
-1/2 + (3/4X4/9)=

Answers

Answer:

-(1)/(6)

Step-by-step explanation:

In order to find the answer to this question you must use order of operations and add after finding the common denominator.

-(1)/(2) +((3)/(4) *(4)/(9) )

P goes first

(3)/(4) *(4)/(9)

Solve:

3*4=12

4*9=36

=(12)/(36)

Reduce:

12/6=2

36/6=6

2/2=1

6/2=3

=(1)/(3)

-(1)/(2) +(1)/(3)=(-1*3)/(2*3) +(1*2)/(3*2) =-(1)/(6)

=-(1)/(6)

Hope this helps.

Answer:

The correct answer would be negative 1 over 6 also written as -1/6

Step-by-step explanation:

HAVE A GOOD DAY!

2^1-x=3^2x-3 solve for X

Answers

Hello,

if the exact equation is

2^(1-x)=3^(2x-3)

==>(1-x)ln 2=(2x-3) ln 3

==>2x ln 3+x ln 2=ln 2 +3 ln 3

==>x=ln (2*3^3) / ln (2*3²)

==> x= ln(54)/ ln (18)

==>x ≈1,3800937....


if the equation is 2^1 -x  =3^2 *x -3 then

2-x=9x-3
==>10x=5
==>x=1/2





In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?

Answers

Answer:

Hence, the arc length is 2π feet or 6.28 feet.

Step-by-step explanation:

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.

If the central angle is measured in degrees than the arc length is given by:

arc length=(θ\360°)×2πr.

and if central angle is measured in radians than the arc length is given by:

arc length=θr. ( where r is the radius of the circle)

where θ is the central angle.

Hence, here we have:

r= 3 ft.

and θ=2π/3.

Hence the arc length is given by:

Arc length=(2π/3)×3=2π  feet.

Hence, the arc length is 2π feet or 2×3.14=6.28 feet.

Answer:

2 π

explanation:

I took the quiz

Find the equation of the line that contains the point ( - 1. - 4) and is parallel to the line 2x + 3y = 5

Answers

Answer:

Answer: 2x+3y=-14

Y needs to be changed in order to maintain parallelism

Good luck!

a new gym is being built at greenfield middle school. The length of the Gym is 12 inches on the builders blueprint. Find the actual length of the gym if the scale is 3/4 in = 5ft

Answers

Using scale conversion in mathematics, we set up a proportion based on the blueprint scale of 3/4 in equals 5 ft. Solving this proportion, we find the actual length of the gym is 80 feet.

In mathematics, this problem is about scale conversion.

The blueprint scale in this case is 3/4 in equals 5 ft.

To find out the actual length of the gym, we need to set up a proportion and solve for the missing value.

We know that 3/4 inches represents 5 feet on the actual gym.

According to the blueprint, the length of the gym is 12 inches.

First, let's set up the proportion: 3/4 in: 5 ft = 12 in: x ft.

Now we can cross multiply and solve for 'x'. (3/4) * x = 12 * 5, which simplifies to (3x/4) = 60.

Multiply both sides by 4 to isolate 'x': 3x = 240.

Finally, divide both sides by 3, we get x = 80.

Therefore, the actual length of the gym is 80 feet.

For more such questions on scale conversion, click on:

brainly.com/question/33515865

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What is the domain of y = cos θ

Answers

Answer:

The domain is all real numbers or x\in(-\infty,\infty)

Step-by-step explanation:

The definition of domain is :

Domain is the set of x values for which the function is defined.

The given function is y = cos θ and we know that θ can take any value. In other words, for any value of θ, the function  y = cos θ is defined.

Therefore, we can conclude that the domain of y = cos θ is the set of all real values.

In interval notation we can write it as

x\in(-\infty,\infty)

all real numbers / all x 
if you're asking for range as well then its -1<x<1