The Strike Zone Battling Center provides cages for baseball players to perfect their swing. The patron pays a fixed rate of $12.75 for the first 45 minutes, pay an additional $0.35 for up to two hours and $0.25 per minute for any additional time over two hours. The following function is used to compute the overall cost for a patron.

where x is the amount of time in minutes spent battling at the Strike Zone. How much would you pay for 115 minutes?

Answers

Answer 1
Final answer:

To calculate the cost for 115 minutes at the Strike Zone Battling Center, we account for the flat rate for the first 45 minutes and add the additional cost for the remaining 70 minutes at a rate of $0.35 per minute. We find that the total would be $37.25.

Explanation:

The cost calculation for using the cages at the Strike Zone Battling Center operates on a tier system. The first 45 minutes costs a flat rate of $12.75. If a patron uses it for additional time up to 2 hours (or 120 minutes), it's an extra $0.35 per minute. Anything over 2 hours is $0.25 per minute.

To calculate the cost for 115 minutes, we determine that it is less than 2 hours. Therefore, the cost will be the flat rate of $12.75 plus the additional cost for 70 minutes (which is 115 minutes minus the first 45 minutes) at $0.35.

The calculation goes as follows:
$12.75 + (70 * $0.35) = $12.75 + $24.50 = $37.25.

So, for 115 minutes, you would pay $37.25

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Related Questions

Divide 5x2 − 7x − 6 by x − 2.
5x − 5
5x + 3
x − 5
x + 3

Answers

5x + 3. You can also synthetically divide because of the linear divisor

Answer:

5x+3

Step-by-step explanation:

Angles 1 and 3 are directly across from each other.
They are called vertical angles. They share only a
vertex. They always measure the same. Therefore,
if angle 1 measures 27 degrees, angle 3 will
measure
degrees.

Answers

The measure of angle 3 is 27 degrees.

Step-by-step explanation:

The angles 1 and 3 are vertical angles and share same vertex.Therefore, the measure of the angle 1 and angle 3 are equal.

Given,

angle 1 = 27°

Since angle 3 is same as angle 1, the measure of angle 3 is also 27 degrees

angle 3 = 27°.

solve for x. x + 1/2 = 3/4

X=_______________________

Answers

x = 1 / 4

1 / 4 + 1 / 2 = 0.75 = 3/4

Answer:

[tex]x=\frac{1}{4}[/tex]

Step-by-step explanation:

In order to get the answer to this question you will have to subtract 1/2 on both sides:

[tex]x+\frac{1}{2} =\frac{3}{4}[/tex]

Subtract 1/2 on both sides:

[tex]-\frac{1}{2} -\frac{1}{2}[/tex]

Subtract 1/2 from 3/4:

[tex]\frac{3}{4} -\frac{1}{2}[/tex]

Find the common denominator:

[tex]CD=4[/tex]

[tex]2\times2=4[/tex]

[tex]1\times2=2[/tex]

[tex]=\frac{2}{4}[/tex]

Do the same with the second fraction:

[tex]4\times1=4[/tex]

[tex]3\times1=3[/tex]

[tex]=\frac{3}{4}[/tex]

Subtract the numerators:

[tex]3-2=1[/tex]

Keep the denominator the same:

[tex]=\frac{1}{4}[/tex]

[tex]x=\frac{1}{4}[/tex]

Hope this helps.

Find the area.
8 ft
7 ft
14 ft​

Answers

Answer:

784

Step-by-step explanation:

I’m pretty sure I did this right I just multiplied them

Answer : 784

Explanation : 8 x 7 = 56
56 x 14 = 784

Gradpoint-What is the value of y?

25

35

50

100

Answers

Answer:

35

Step-by-step explanation:

60 x 70 ÷ 50 yyyyyygsgsgsvsvshsh

Serenity Spa charges $59 for a one hour massage. They charge $0.95 per minute for each additional minute over an hour. If
x represents the number of minutes over one hour, which of the following functions represents the cost of a massage?

Answers

Answer:

D. y = 0.8x + 79

Choices:

A.  

y = 79x + 0.8

B.  

y = -0.8x + 79

C.  

y = 79.8x

D.  

y = 0.8x + 79

The following functions represent the cost of a massage as: Cost = 59 + 0.95x

What is the Linear function?

A linear function is defined as an equation in which the highest exponent of the variable is always one.

A one-hour massage at Serenity Spa costs $59 USD. They charge $0.95 per minute for every minute over an hour.

The cost of a massage can be represented by the function:

Cost = 59 + 0.95x

This function states that the cost of the massage is equal to the base cost of $59 plus an additional charge of $0.95 for each minute over an hour (represented by the variable x).

For example, if the massage lasts for 70 minutes (10 minutes over an hour), the cost would be calculated as:

Cost = 59 + 0.95(10) = 59 + 9.5 = $68.50

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The weight of a package is at least 1.5 pounds. Write an inequality to represent this situation. (Show work please)

Answers

Answer:

W ≥ 1.5lb

W = weight of package

Step-by-step explanation:

The key words at least show more than or equal to.

A sequence is defined by the recursive function f(n + 1) =1/3 f(n). If f(3) = 9 , what is f(1) ?
1
3
27
81

Answers

A sequence is defined by the recursive function then f(1) is 81

Solution:

Given that,

A sequence is defined by the recursive function:

[tex]f(n+1) = \frac{1}{3} \times f(n)[/tex] ------ eqn 1

Given that,

[tex]f(3) = 9[/tex]

Substitute n = 2 in eqn 1

[tex]f(2 + 1) = \frac{1}{3} \times f(2)\\\\f(3) = \frac{1}{3} \times f(2)\\\\Substitute\ f(3) = 9\\\\9 = \frac{1}{3} \times f(2)\\\\f(2) = 27[/tex]

Substitute n = 1 in eqn 1

[tex]f(1 + 1) = \frac{1}{3} \times f(1)\\\\f(2) = \frac{1}{3} \times f(1)\\\\Substitute\ f(2) = 27\\\\27 = \frac{1}{3} \times f(1)\\\\f(1) = 27 \times 3\\\\f(1) = 81[/tex]

Thus f(1) is 81

Answer:

D 81

Step-by-step explanation:

What is the stretch or shrink of the graph g(x) = 2 |x + 3| − 5

Answers

It's a stretch by coefficient of two.

Hope this helps.

Solve x+8y/4=9y for x

Answers

Answer:

x = 7y

Step-by-step explanation:

x+8y/4=9y

Multiply each side by 4 to get rid of the fractions

4(x+8y/4)=9y*4

Distribute

4x +8y = 36y

Subtract 8y from each side

4x +8y-8y = 36y-8y

4x = 28y

Divide each side by 4

4x/4 = 28y/4

x = 7y

x+8y/4=9y

Multiply each side by 4

4(x+8y/4)=9y*4

=>4x +8y = 36y

Subtract 8y from each side

=>4x +8y-8y = 36y-8y

=4x = 28y

Divide each side by 4

=>4x/4 = 28y/4

x = 7y

whats 12-7-8-9+66=??????

Answers

Hey there!

12 - 7 - 8 - 9 + 66 = ?

12 - 7 = 5

5 - 7 - 8 - 9 + 66

5 - 8 = -3

-3 - 9 + 66

-3 - 9 = -12

-12 + 66 = 54

Answer: 54

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Philip ran 4 3/8 miles yesterday. Michael ran 1 5/8 miles yesterday.
How much farther did Philip run than Michael. fractions .with common denominators.

Answers

Final answer:

Philip ran 3 1/4 miles farther than Michael. We obtained this by subtracting the fraction and whole number of Michael's distance from Philip's and simplified the resultant fraction.

Explanation:

To find out how much farther Philip ran than Michael, you need to subtract the distance run by Michael from Philip's distance. Since we are dealing with fractions with common denominators, this makes the subtraction process easier.

Philip's distance = 4 3/8 miles

Michael's distance = 1 5/8 miles

Subtract Michael's distance from Philip's distance: 4 3/8 - 1 5/8

Since the denominators are the same, you can simply subtract the numerators: 8 (the common denominator) stays the denominator, and subtract 3 from 5 which gives: 2/8

We subtract the whole numbers: 4 - 1 = 3. Therefore, the final difference is 3 2/8 miles. However, you can simplify 2/8 fraction to 1/4. So, the final and simplest difference is 3 1/4 miles.

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Final answer:

To find out how much farther Philip ran than Michael, we need to subtract the fractions representing their respective distances. After converting these to improper fractions, we subtract the numerators, giving us a result of 2 6/8 miles, which is the distance by which Philip ran farther than Michael.

Explanation:

The problem involves subtracting fractions to find the difference between the distances that Philip and Michael ran. First, convert the mixed fractions into improper fractions. Philip ran 4 3/8 miles which equals 35/8 miles and Michael ran 1 5/8 miles which equals 13/8 miles. Subtracting fractions with like denominators is straightforward, so subtract the numerators: 35 - 13 equals 22. Therefore, Philip ran 22/8 or 2 6/8 miles more than Michael.

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5. A standard-size volleyball court has an

area of 1,800 square feet. The length of the

court is 60 feet. What is the width of the

court?

Answers

Answer: The width of the  court is 30 feet.

Step-by-step explanation:

We know that the area of a rectangle is given by :-

Area = length x width                                              (1)

Given : A standard-size volleyball court has an area of 1,800 square feet.

The length of the court is 60 feet.

To find : The width of the court.

According to (1) , we have

[tex]1800 = 60\times \text{width}[/tex]

Then,

[tex]\text{Width}=\dfrac{1800}{60}=30[/tex]

Hence, the width of the  court is 30 feet.

Final answer:

The width of a standard-size volleyball court, with an area of 1,800 square feet and a length of 60 feet, is calculated to be 30 feet using the formula for the area of a rectangle.

Explanation:

To find the width of a standard-size volleyball court with an area of 1,800 square feet and a length of 60 feet, we need to use the formula for the area of a rectangle, which is Area = length × width. Since we know the area and the length, we can solve for the width.

Let the width be w feet.

Then, 1,800 sq ft = 60 ft × w ft,

So, w = 1,800 sq ft / 60 ft,

Therefore, w = 30 feet.

The width of the volleyball court is 30 feet.

What is the quotient in simplest form? 8/3 divided by 2/3

Answers

Answer:

[tex] \frac{8}{3} \div \frac{2}{3} \\ \frac{8}{3} \times \frac{3}{2} = \frac{4}{1} \\ = 4[/tex]

Answer is 4

Answer: 4

Step-by-step explanation:

8/3 ÷ 2/3 = 4

In Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction.

The first step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/3 is 3/2.

8/3 × 3/2

Next, multiply the two numerators. Then, multiply the two denominators. In this step, we first cancel by a common factor of 3, which then gives 8/2, then cancel by another common factor of 2, which gives 4.

Thus 8/3 x 3/2 = 4

I hope this helps.

What is square root of 42 to the nearest tenth

Answers

Answer: 6.48 or 6.5 rounded up!

Step-by-step explanation: hope i can help please give brainliest!

just try my answer its

6.48 or 6.5 rounded up!

please help me on this

Answers

Answer:

mean= 15.16

2/53

Step-by-step explanation:

addition of all the figures plus the next student divided by 6

-5y=-5
7x+6y=7
Is (5,1) a solution to the system?

Answers

no for the last problem but yes for the first if u plug in everything

Step-by-step explanation:

I plugged everything in and go the same answer on both sides for the first in but the last one i didn't, so that's a question you should ask your  teacher if there is one near you

Solve the equation log (x + 20) = 3

Answers

Answer:

Step-by-step explanation:

[tex](x+20)=3\\ -20 -20\\x=-17[/tex]

Hope this helps please give brainliest!

what is 2b = 20, what does the b equal​

Answers

Answer:

b = 10

Step-by-step explanation:

Divide 20 by 2 to get b by itself:

20/2 = b

10 = b

MARK AS BRAINLIEST!

Answer:

B=10

Step-by-step explanation:

2(b)=20

2(10)=20

Or

2b÷2=20÷2

B=10

Please answer ASAP! Due today, thank you in advance and remember to wash your hands with antibacterial soap for 1 minute.

Answers

Answer:

1/2x15(30+40)

Step-by-step explanation:

Just put this in your calculator

how to write 137% as a fraction and decimal

Answers

Answer: 1.37 and 137/100

Step-by-step explanation:

hope this help make me brainliest plest thanks

Final answer:

137% can be written as the fraction 137/100, which is already simplified. To convert 137% to a decimal, divide 137 by 100 to get the decimal 1.37.

Explanation:

To write 137% as a fraction, you should consider that percent means 'per hundred.' Therefore, 137% can be written as a fraction with a denominator of 100: 137/100, which is already in its simplest form.

To express 137% as a decimal, you divide the numerator by the denominator. In this case, you would divide 137 by 100. This gives you the decimal 1.37, which is the decimal equivalent of 137%.

Understanding these conversions is crucial when working with percentages, and they can often simplify calculations in various mathematical problems.

What is the length of the arc with a measure of 100 degrees in a circle of radius 15 inches

Answers

30 because the radius is a half of the diameteter of the arc making it 30

Answer:

30

Step-by-step explanation:

solve for k
10/3= k/9

Answers

Answer:

k = 30

Step-by-step explanation:

[tex]\frac{10}{3}=\frac{k}{9}\\\\\frac{k}{9}=\frac{10}{3}\\\\k=\frac{10}{3}*9\\\\k=10*3=30[/tex]

Answer:

k = 30

Step-by-step explanation:

[tex]\frac{10}{3}[/tex] = [tex]\frac{k}{9}[/tex]

We can easily solve this by cross multiplying. Multiply 10 by 9, and multiply the variable (k) by 3.

10 x 9 = 90

3 x k = 3k

These two (90 and 3k) are equal to one another and thus can both be set up into an equation.

3k = 90

Solve for k.

3k/3 = 90/3

k = 30

I need help!!! please help me out as quick as possible

Answers

Answer:

D) 262,144

Step-by-step explanation:

The given sequence is given explicitly as:

[tex]A_n = {4}^{n - 1} [/tex]

We want to find the tenth term of this sequence.

We substitute n=10 to get:

[tex]A_ {10}= {4}^{10 - 1} [/tex]

Simplify the exponent

[tex]A_ {10}= {4}^{9} [/tex]

Simplify the power

[tex]A_ {10}= 262144[/tex]

Therefore the 10th term is 262,144

Luis made a $150 bank deposit using $5 bills and $10 bills. He gave the teller a total of 24 bills. How many $10 bills were in the deposit?

Answers

Answer:

100 10's

Step-by-step explanation:

Answer: 6 10$ bills

Step-by-step explanation:

18 (5$) times 6 (10$) = $150

18 + 6 = 24 bills in total ^

Order the numbers from least to greatest 3\7,0.44,42%

Answers

Answer:

42%, 3/7, .44

Step-by-step explanation:

what i would do is turn them all into decimals

3/7 is .4285

.44 is already a decimal

42% is .42

What is the measure of a straight angle?
A less than 90°
Bgreater than 90°
C 90°
D 180°

Answers

Answer:

D 180°

Step-by-step explanation:

The measure of a straight angle is 180°.

D 180 i know because i just learned thus

The probability of NOT drawing a red marble out of a bag containing 3 blue, 2 green , 8 yellow , 4 red , and 3 orange marbles.

Answers

Answer:

[tex] \frac{4}{5} [/tex]

Step-by-step explanation:

Total number of marbles

= 3+2+8+4+3

= 20 marbles

P(not red)

=

[tex] \frac{3 + 2 + 8 + 3}{20} \\ = \frac{16}{20} \\ = \frac{4}{5} [/tex]

or P(not red)

=

[tex]1 - \frac{4}{20} \\ = 1 - \frac{1}{5} \\ = \frac{4}{5} [/tex]

**A rock dropped from a 100 foot tower.

The height of the rock as a function of time

can be modeled by the equation: h(t) =

- 16t2 + 10t + 100. How long does it take

for the rock to reach the ground?

Answers

Final answer:

The rock takes approximately 2.032 seconds to reach the ground.

Explanation:

The height of the rock can be modeled by the equation h(t) = -16t² + 10t + 100, where h(t) is the height of the rock and t is the time in seconds. To find the time it takes for the rock to reach the ground, we need to solve the equation when h(t) is equal to zero. We can do this by setting the equation equal to zero and using the quadratic formula.

Using the quadratic formula, we get: [tex]t = (-b \± \sqrt(b^2 - 4ac))/(2a)[/tex]

Plugging in the values of a, b, and c from the equation, we get: [tex]t = (-10 \± \sqrt{10^2 - 4(-16)(100)/2(-16)[/tex]

Simplifying, we get: [tex]t = (-10 \± \sqrt{100 + 6400/(-32)[/tex]

Continuing to simplify, we get: [tex]t = (-10 \± \sqrt{6500/(-32)}[/tex]

So, it takes approximately 2.032 seconds for the rock to reach the ground.

Kiran and 3 of his friends are going to split the lunch bill of $24.48 how much will each person pay

Answers

To split a $24.48 lunch bill between Kiran and 3 friends ,,divide the total by 4, resulting in each person paying $6.12.

Kiran and 3 of his friends want to split the lunch bill of $24.48 evenly. Since there are 4 people in total, we simply divide the total bill by 4 to find out how much each person will pay. Here's the step-by-step calculation:

Find the total number of people: 1 (Kiran) + 3 friends = 4 people.Divide the total bill by the number of people: $24.48 ÷ 4.Perform the division to find the amount per person: $24.48 ÷ 4 = $6.12.

Therefore, each person will pay $6.12 to split the lunch bill of $24.48 equally.

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Each month, Miss Patrick spends $60 on transportation to work, and earns $24.50 per hour.Each month, Mr. Shah spends $150 on lab equipment and earns $32.50 per month. How many hours do they have to work during the same amount 6 Consider a situation in which a random sample of 1000 adults is surveyed and the proportion that primarily buys organic vegetables is found. If a new random sample of 1000 adults is taken from the same population, explain whether each of the following would change: a. The population proportion, p. b. The sample proportion, p^. c. The standard deviation of p^. d. The standard error of p^. e. The sampling distribution of p^, including its shape, mean, and standard deviation. Duffy is a passenger in a car that Caleb is driving when an accident occurs. Both Caleb and Duffy are emotionally rattled, but neither is physically hurt. Caleb is not liable to Dufy on a negligence theory becausea. both parties were emotionally rattled.b. 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Architects were to be retained, and construction was to be completed by outside contractors. In addition to the bond proceeds, a $1,340,000 grant was expected from the state government.Open a general journal for the City Jail Annex Construction Fund. Record the following transactions and post to the general ledger. Control accounts are not necessary.(1) On January 1, 2017, the total face amount of bonds bearing an interest rate of 8 percent was sold at a $200,000 premium. Principal amounts of $200,000 each will come due annually over a 20-year period commencing January 1, 2018. Interest payment dates are July 1 and January 1. The first interest payment will be July 1, 2017. The premium was transferred to the City Jail Debt Service Fund for the future payment of principal on the bonds.(2) The receivable from the state government was recorded.(3) Legal and engineering fees early in the project were paid in the amount of $121,000. This amount had not been encumbered.(4) Architects were engaged (like a contract, record an encumbrance) at a fee of $250,000.(5) Preliminary plans were approved, and the architects were paid $50,000 (20 percent of the fee).(6) The complete plans and specifications were received from the architects and approved. A liability in the amount of $150,000 to the architects was approved and paid.(7) Bids were received and opened in public session. After considerable discussion in City Council, the low bid from Hardhat Construction Company in the amount of $4,500,000 was accepted, and a contract was signed.(8) The contractor required partial payment of $1,350,000. Payment was approved and vouchered with the exception of a 5 percent retainage.(9) Cash in the full amount of the grant was received from the state government.(10) Furniture and equipment for the annex were ordered at a total cost of $459,500.(11) Payment was made to the contractor for the amount payable (see 8 above).(12) The contractor completed construction and requested payment of the balance due on the contract. After inspection of the work, the amount, including the past retainage, was approved for payment and then paid.(13)The furniture and equipment were received at a total actual installed cost of $459,300. Invoices were approved for payment.(14) The remainder of the architects fees was approved for payment.(15) The City Jail Construction Fund paid all outstanding accounts payables ($ 509,300) on December 31, 2017.(16) The remaining cash was transferred to the City Jail Debt Service Fund. 1. Mi padre ya____gimnasia. 2. Yo no_____ninguna bebida alcohlica.3. 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