roman paid $150 to join a handball club. he pays additional $15 every time he uses one of the club's handball courts. write an equation that describes roman's total cost for playing handball as a function of the number of times he plays

Answers

Answer 1
Answer:

The equation to determine the total cost for playing handball is

f ( x ) = 15x + 150

where x is the number of times Roman plays

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of times Roman plays be = x

Now , the initial amount Roman paid to join the club = $ 150

The additional amount Roman pays for each play = $ 15

So , the equation will be

The total additional amount Roman pays if he plays x number of times is =
number of times Roman plays x additional amount Roman pays for each play

Total additional amount Roman pays if he plays x number of times is = 15x

So , the total cost of playing handball be f ( x ) , where x is the number of times Roman plays

Now , the equation will be

The total cost of playing handball f ( x ) =  initial amount Roman paid + Total additional amount Roman pays

The total cost of playing handball f ( x ) = 150 + 15x

Therefore , the equation is f ( x ) = 15x + 150

Hence , The equation to determine the total cost for playing handball is

f ( x ) = 15x + 150

where x is the number of times Roman plays

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Answer 2
Answer: y=15x+150X represents the money he pays each time he uses the ball and 150 is the initial amount of money that he paid

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Given h(x) = x24, find h(-8)

Answers

Answer:

-192

Step-by-step explanation:

replace the x with -8 and multiply

If 10 men can complete a piece of work in 30 days how many men are requiredto complete the same job in 25 days?

Answers

We must assume that all workmen work at the same rate, and keep it up forever.

More men ==> fewer days

so the proportion is:    30/25 = x/10

Cross-multiply the proportion:

300 = 25 x

Divide each side by 25 :

x = 300/25 = 12 men

Please answer 2) multiple choice questions correctly I need it today please show work .

Answers

Answer:

Step-by-step explanation:

20. First find the values of the numbers being added.

((3)/(4))^3 = (27)/(64)

((5)/(8) )^2 = (25)/(64)

These numbers have a common denominator, so you can add the numerators

27 + 25 = 52

so the number comes out to (52)/(64)

to simplify, divide the numerator and denominator by 4.

So the final fraction becomes (13)/(16)

However the question doesn't have this answer and now I am confused. I assumed that the expression was r^(3)+s^(2) but the picture is a little bit blurry and I have bad eyesight so let me know if it is not. I'm too tired to delete this so next problem.

21.

4x + 8x + 7 + 4

Combine the like terms to get the expression

12x + 11 the answer is c.

Tell whether or not the value is a solution to the inequality

Answers

Answer:

Yes, n = -2.9 is a solution to the given inequality.

Step-by-step explanation:

To determine if n = -2.9 is a solution to the inequality 10.4 ≥ -2n + 4.6, substitute the value of n into the inequality.

10.4 ≥ -2(-2.9) + 4.6

10.4 ≥ 5.8 + 4.6

10.4 ≥ 10.4

Since the last line of the inequality states that 10.4 is greater than or equal to 10.4, which is true, this means that the original inequality holds true when n = -2.9.

So, n = -2.9 is a valid solution to the inequality 10.4 ≥ -2n + 4.6.

Another one this one has two anwser first up is A

Answers

Answer:

g = 6

Step-by-step explanation:

3.8g + 8 = 1.8g + 20

Subtract 1.8g from both sides;

2g + 8 = 20

Subtract 8 from both sides;

2g = 12

Divide both sides by 2;

g = 6

You can check if the value of g is correct by plugging in the value of g to the equation. If your check does not it doesn't mean your answer is not correct because sometimes it can be a no solution equation which means that there is no solution to the equation.

Check:

3.8(6) + 8 = 1.8(6) + 20

22.8 + 8 = 10.8 + 20

30.8 = 30.8

It means its correct

What is the length of side s of the square shown below?

Answers

Answer:

3√2

Step-by-step explanation:

Pythagoras says s²+s²=6²

so

2s² = 36

s = √18 = √9·2 = √3²·2 = 3√2

Answer:

C

Step-by-step explanation:

The diagonal splits the square into 2 right triangles with hypotenuse 6

Using Pythagoras' identity in one of the right triangles.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

s² + s² = 6²

2s² = 36 ( divide both sides by 2 )

s² = 18 ( take the square root of both sides )

s = √(18) = √(9(2)) = √(9) × √(2) = 3√(2) → C