The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

Answers

Answer 1

Answer: c(x) = 6x + 3
shee skated for 3 hrs and was charged $21
c(3) = 6(3) + 3
c(3) = 18 + 3
c(3) = 21
correct....so it is c(x) = 6x + 3

Answer 2

Answer:

C(x) = 6x + 3 (in USD)

Further explanation

Given:

The fee to rent is $3 for the day.
Gillian rented skates and skated for 3 hours and was charged $21.

Question:

The equation that represents cost, C(x), ice skating as a function of x, the number of hours of skating.

The Process:

We try solving a word problem about the single variable equation.

Step-1: calculate the cost of skates per hour.

Let the rate of using the skating rink be R per hour. We will seek the value of R.

On that day Gillian rented skating for 3 hours and paid $ 21. The equation that will determine this given by:

$\boxed{ \ 3R + 3 = 21 \ }$

Both sides subtracted by 3.

$\boxed{ \ 3R = 18 \ }$

We isolate R on the left side. Both sides are divided by 3.

Hence, the fee of skates per hour is $\boxed{R = \$6}$

Step-2: determine the cost equation for ice skating

Let x as the number of hours of skating.

Recall the fee of skates per hour is $6 and the fee to rent is $3 for the day.

Thus, the equation which represents the cost of ice skating as a function of x, the number of hours of skating, will be given by:

$\boxed{ \ C(x) = 6x + 3 \ }$ (in USD)

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Keywords: the ice skating rink, charges an hourly fee, Gillian rented skates, the equation represents the cost, C(x), a function of x, the number of hours of skating, a word problem, the single variable equation

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Identify the value of p.

p = 11
p = 10
p = 12
p = 13

Answers

Answer:

Step-by-step explanation:

You may recall that (5, 12, 13) is a Pythagorean triple. That would tell you ...

p = 12

If you have not memorized a few useful Pythagorean triples, you can use the Pythagorean theorem to solve for p. The sum of squares of the sides is the square of the hypotenuse:

5² +p² = (p+1)²

p² +25 = p² +2p +1

24 = 2p . . . . . . . . subtract p²+1 from both sides

p = 12 . . . . . . divide by 2

_____

Additional comment

Some of the Pythagorean triples commonly seen in algebra and geometry problems are ...

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

Of course, multiples of these are used, too. For example, (6, 8. 10) is a multiple of the (3, 4, 5) triple.

Answer:

Step-by-step explanation:

5^2 + p^2 = (p+1)^2

25 + p^2 = p^2 + 2p + 1

25 = 2p + 1

24 = 2p

12 = p

The sum of two numbers is 100. The sum of 8 and the larger number is equal to 5 times the smaller number. What is the smaller number?

Answers

Answer:

The smaller number is 18

Step-by-step explanation:

Let the numbers be $x$ and $y$ where x is the smaller number; $y\:>\:x$ .

The sum of the numbers is 100.

$x+y=100...(1)$

The sum of 8 and the larger number is equal to 5 times the smaller number.

$y+8=5x$

$\Rightarrow y=5x-8...(2)$

Put equation (2) into equation (1).

$x+5x-8=100$

$x+5x=100+8$

$6x=108$

$x=18$

Answer:

The smaller number is 18.

Step-by-step explanation:

We have given that

The sum of two numbers is 100. The sum of 8 and the larger number is equal to 5 times the smaller number.

Let x and y are two numbers.

Let y is the larger number.

x+y = 100 eq(1)

y+8 = 5x eq(2)

From eq(1), we have

y = 100-x

Putting above eq(3) into eq(2), we have

100-x+8 = 5x

108 = 5x+x

108 = 6x

x = 108/6

x = 18

Hence, the smaller number is 18.

What is 5.72x10^3 in standard form

Answers

Answer:

0.00572

Step-by-step explanation:

pretty sure thats the answer

Kyla applied rm ◦ T0,3 to triangle ABC. What mistakes did she make? Check all that apply.She applied the rotation to the triangle first.
She applied the reflection to the triangle first.
She changed the size of the triangle instead of just applying a translation.
She translated the triangle down instead of just applying a reflection.
She applied a rotation instead of a reflection

Answers

Answer: she applied the reflection to the triangle first

she changed the size of the triangle instead of just applying a translation.

Step-by-step explanation:

Answer:

B & C

Step-by-step explanation:

The probability that a random variable is greater than or equal to z standard deviations from the mean in a standard normal distribution is p%. What can be said with certainty about the probability that the random variable is less than or equal to –z standard deviations from the mean?

Answers

Answer:

B: The probability is equal to p%.

Step-by-step explanation:

P(Z≥z)=p% may help out... (:

A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow?

Answers

Answer:

1/5 is the answer

Step-by-step explanation:

the probability of the outcome of the color/ Divided by the total of how many colors there are.

in this case there is one yellow, but it may very well be smaller than the other colors so it does not have the probability of 1/4, unless they tell you that all the color sizes are equal.

so now, instead,we shall base it off of the Trial Numbers. Which would be 10/50, which can be reduced to 1/5. :)

Good Luck!
(But please ask your teacher or mentor if this is correct.)

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