Clara goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs.The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds,x, that Clara golfs

A.) 6.25 + 7.50 = 26.25
B.) 6.25 - 7.50 = 26.25
C.) 7.50x + 6.25 = 26.25
D.) 7.50x - 6.25 = 26.25

Answer:

See below

Step-by-step explanation:

b) 200 ft = -16 (t-2)^2  + 400

      200 / 16 = (t-2)^2

           sqrt (12.5 ) = t-2

              2 + sqrt (12.5)  = t  

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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24. The answer is False. Plants will not turn ideas into practical action.
25. The answer is True, Shapers will see the "small picture" and make sure that the solution results in a change of direction.


24. Plants are the creative innovators in an organization. They are characterized by their creativity, originality, and unorthodox problem-solving abilities. They generate new ideas and approaches to problem-solving. However, they may not have the necessary drive to see those ideas through to fruition. So, it is not true that plants will turn ideas into practical action. Thus, the statement is false.

25. Shapers are dynamic individuals who thrive on challenge, possessing the drive and courage to overcome obstacles and make things happen. They provide the necessary impetus to ensure that ideas are turned into action and that decisions are taken quickly and efficiently. They are the ones who see the "small picture" and make sure that the solution results in a change of direction. So, it is true that shapers will see the "small picture" and make sure that the solution results in a change of direction. Thus, the statement is true.


The correct answer for statement 24 is False and for statement 25 is True.

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The percentage increase of the value of Tessa's stock is 47%.

According to the question,

We have the following information:

Tessa bought stock in a restaurant for $137.00. Her stock is now worth $201.39.

We know that the following formula is used to find the percentage increase if the final and initial amount for any question is given:

Percentage increase = 100*(final-initial)/initial

Percentage increase = 100*(201.39-137.00)/137.00

Percentage increase = 100*64.38/137.00

Percentage increase = 6438/137.00

Percentage increase = 46.99% or nearly 47%

(We have rounded off this percentage in the final result.)

Hence, the percentage increase of the value of Tessa's stock is 47%.

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The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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Answer:

c

Step-by-step explanation:

I believe its c I've done this last semester

The total number of arrangements possible if A and B must not sit together:

=  3600

Now, According to the question:

The no. of circular arrangements of n distinct items = (n-1)!

If A,B,C,D,E,F,G and H are the 8 persons to be seated around the table and A,B the 2

particular persons who must not sit together.

The total no.of circular arrangements for 8 persons = (8-1)! = 7! = 5040 --(1)

The no. of circular arrangements possible if A and B were to sit together = 6! (considering A and B as a single pair).

But, A and B can interchange their positions.

Hence, the no. of arrangements =6!×2=720×2=1440−−−−>(2)

So, the total number of arrangements possible if A and B must not sit together, = (1) - (2)

= 5040-1440

= 3600

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Answer:

180 degrees? 360 degrees is a full circle

Step-by-step explanation:

The statement that is correct about boxplot is that the range is different for each boxplot, the correct option is D.

The range is the difference between the maximum and minimum values in a dataset, and it is evident from the boxplots that the range is different for each of them. In Boxplot 1, the range is from approximately 5 to 30, while in Boxplot 2, the range is from approximately 12 to 24. Additionally, we can observe that Boxplot 1 has a higher upper quartile value than Boxplot 2, and its whiskers extend further out, indicating the presence of more outliers in the dataset. On the other hand, Boxplot 2 has a smaller interquartile range, which suggests that the data is less spread out than the data in Boxplot 1. There is not enough information in the boxplots to determine the median or lower quartile values for each boxplot, so statements A and B are incorrect. Similarly, without additional information, we cannot conclude whether the two boxplots have the same median, so statement C is also incorrect.

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Remember that if f and g are inverses of one another, then

f(g(x)) = g(f(x)) = x

1/2. Take a = 0 and b = 1 (or any non-zero number) so that

f(x) = x + 0/1   ⇒   f(x) = x

If g is to be an inverse of f, we need

g(f(x)) = g(x) = x

so that c = 1 and d = 0.

3. With f(x) = x + a/b and g(x) = cx - d, we have

g(f(x)) = g(x + a/b) = c (x + a/b) - d = cx + ac/b - d

and of course, with a,b,c,d as before, we get g(f(x)) = x.

4. This would be a very uninteresting graph for the example I've cooked up here, just containing the line y = x...

2.4g / 12 minutes

0.2g/minutes

Answer is 0.2 gallons per minute

==============================================================

Explanation:

Segment SQ is the result of adding the pieces ST and TQ together

SQ = ST + TQ

SQ = 12.5 + 12.5

SQ = 25

This is the hypotenuse of the right triangle PQS. The diagram shows that the vertical leg of this right triangle is PS = 7.

Use the pythagorean theorem to find the horizontal leg PQ.

a^2 + b^2 = c^2

7^2 + b^2 = 25^2

49 + b^2 = 625

b^2 = 625 - 49

b^2 = 576

b = sqrt(576)

b = 24

Side PQ is 24 inches long.

-----------

We then multiply the length and width of the rectangle to find its area.

area = length*width

area = PS*PQ

area = 7*24

area = 168 square cm

Answer: the answer is 168cm^2 it is correct

Step-by-step explanation:

:)

Answer:

6 x 2 +1

Step-by-step explanation:

13

6 x 2 = 12

13-12 = 1

6 x 2 + 1 = 13

Answer :

\(1\)

Answer:

D- points on one side of one of the lines

Step-by-step explanation:

I may be wrong but I believe I am correct

Answer:

False

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The exact answer is 2.571281591, which is between:

D) 2 and 3

The population of the city in 2000 will be approximately 38,534 people.

The population of a particular city in 2000, assuming exponential growth at a constant rate, can be calculated based on the given information. The initial population in 1930 was 27,000, and the population in 1950 was 32,000. To find the growth rate, we can divide the population in 1950 by the population in 1930: 32,000 / 27,000 = 1.185185.

Now, using the formula for exponential growth, we can calculate the population in 2000. Let P(t) represent the population at time t, P(0) be the initial population, and r be the growth rate. The formula is P(t) = P(0) * \(e^(^r^t^)\), where e is the mathematical constant approximately equal to 2.71828.

Plugging in the values, we have\(P(t) = 27,000 * e^(^1^.^1^8^5^1^8^5^*^7^0^)\), where 70 represents the number of years from 1930 to 2000. Calculating this expression, we find P(t) ≈ 38,534.

Therefore, the population of the city in 2000 will be approximately 38,534 people.

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The population of the city in 2000 will be approximately 38,334 people.

To determine the population of the city in 2000, we can use the formula for exponential growth: P(t) = P₀ * e^(rt), where P(t) is the population at time t, P₀ is the initial population, e is the base of the natural logarithm (approximately 2.71828), r is the growth rate, and t is the time elapsed.

In this case, we have the initial population P₀ as 32,000 in 1950 and we need to find the population in 2000, which is a time span of 50 years. We can calculate the growth rate (r) using the formula: r = ln(P(t)/P₀) / t.

Plugging in the values, we have r = ln(38,334/32,000) / 50 ≈ 0.00825 (rounded to six decimal places). Now, substituting the known values into the exponential growth formula, we get P(2000) = 32,000 * e^(0.00825 * 50) ≈ 38,334 (rounded to the nearest whole number).

Therefore, the population of the city in 2000 will be approximately 38,334 people.

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Answer:

144inches cube

v=2*9*8cube

v=144 inche cube

Therefore, the value of q(α) is 0.

Let p(x) = x³ + ax² + bx + c be a polynomials with distinct roots α, β, and γ, where α, β, and γ are real numbers and α, β, and γ are also roots of another polynomial q(x)

.To find: the value of q(α).

Given:p(x) = x³ + ax² + bx + c

has three distinct roots α, β, and γ such that α, β, and γ are real numbers and α, β, and γ are also roots of q(x).

The root of p(x) are:

α, β, and γThe root of q(x)

are:α, β, and γ

Since α, β, and γ are the roots of q(x),

we have:q(x) = (x - α) (x - β) (x - γ) ... (1)

Let's evaluate q(α) using equation (1)

q(α) = (α - α) (α - β) (α - γ)q(α) = 0

(Since α, β, and γ are distinct)

Therefore, the value of q(α) is 0. Hence, the correct option is (D).

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Answer:

Step-by-step explanation:

Answer: car 1, and car 4

Step-by-step explanation: if you look at the graphs you would have to look at where 1 hour would hit 60. If it’s past 60, the car is moving faster than sharon. Hope this helps!

Answer:I don’t Knowt Try To Answer it yourself

Step-by-step explanation:

Answer:

Step 4

Step-by-step explanation:

Bryan wants to ship three medium-sized boxes. Two companies offer different rates.

Company Rate

A

$14.65 per box

B

First box is free, $16.20 for any additional boxes

Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?

The value of the tip in this problem is given as follows:

$99.9.

The value of the tip in this problem is obtained applying the proportions in the context of the problem.

The total bill is given as follows:

$555.

The percentage that the tip represents is given as follows:

18%.

Hence the value of the tip in this problem is given as follows:

0.18 x 555 = $99.9.

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Answer:

$8206.37

Step-by-step explanation:

According to the Question,

Given, Some money should be deposited in an account today that earns 4% interest Annually. but it is compounded monthly so (4/12)% Will be the new interest Rate .

Now, What Money Should be Invested For 5 years(60 months) to get $10000 in Return .

The Formula for Compound interest is  \(A=P(1+\frac{r}{n})^{nt}\) .

We have, r=4% , n=12 , t=5 & A=$10000 Put These all value in above equation.

\(10000=P(1+\frac{0.04}{12})^{60}\)

\(P= \frac{10000}{1.0033^{60} }\)   ⇔ $8206.37 Should be invested .

To pay for the new computer, you would need to work approximately 45 hours.

To calculate the number of hours needed to pay for the computer, we first need to determine the total deductions from the hourly wage. FICA, federal tax withholding, and state tax withholding are deducted from the $10.00 hourly wage.

FICA (7.65% of $10.00) = $0.765

Federal tax withholding (12% of $10.00) = $1.20

State tax withholding (8% of $10.00) = $0.80

Total deductions = $0.765 + $1.20 + $0.80 = $2.765

After subtracting the total deductions from the hourly wage, we get the net pay per hour

Net pay per hour = $10.00 - $2.765 = $7.235

To find the number of hours needed to pay for the computer, we divide the price of the computer by the net pay per hour

Number of hours = Price of the computer / Net pay per hour

Number of hours = Price of the computer / $7.235

Since the price of the computer is not mentioned in the question, we cannot determine the exact number of hours required. However, if we know the price of the computer, we can substitute it into the equation to find the answer.

The calculation and factors affecting it such as the price of the computer, any additional expenses or taxes, and the net pay per hour.

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Jen simulated her net income over 5 years assuming sales vary based on a normal distribution $100,000 and operating costs 60% and 65% of sales. keeping the loan payment be fixed at $13,000. The probability of making at least $12,000 each year is the number of successful simulations divided by 100. and at least $60,000 total over 5 years based as the number of successful simulations divided by 100.

To simulate Jen's annual net income over the next 5 years, a spreadsheet model can be created with columns for year, sales, operating costs, loan payment, and net income.

For each year, the sales can be generated from a normal distribution with mean $100,000 and standard deviation $10,000, and the operating costs can be generated from a uniform distribution between 60% and 65% of sales.

The loan payment can be fixed at $13,000, and the net income can be calculated as the difference between the sales, operating costs, loan payment, and taxes (28% of net income).

To find the probability that Jen will make at least $12,000 in each of the next five years, 100 simulations can be run using the model created in part a. For each simulation, the net income for each of the next five years can be calculated, and if the minimum net income is at least $12,000 for each year, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

To find the probability that Jen will make at least $60,000 total over the next five years, 100 simulations can be run using the model created in part a. For each simulation, the total net income over the next five years can be calculated, and if it is at least $60,000, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

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