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Assoli18 [71]
3 years ago
13

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 charged $21. Which equation represents the cost, c(x), of the ice skating as a function of x, the number of hours of skating.
Mathematics
2 answers:
mel-nik [20]3 years ago
7 0

Answer:

C(x)=6x+3

Step-by-step explanation:

Rent of skates for day =$3

Gillian rented skates and skated for 3 hours and charged $21.

So, Total charge including rent = 21

So , Total charge excluding rent = 21-3=$18

So, charge for 3 hours = 18

So, Charge for 1 hour = \frac{18}{3} =6

So, cost for x hours = 6x

So, total cost for x hours including rent = 6x +3

Let C(x) denotes the total cost

So, C(x)=6x+3

Hence The equation represents the cost, c(x), of the ice skating as a function of x, the number of hours of skating is C(x)=6x+3

avanturin [10]3 years ago
3 0

Answer:

7 hours

Step-by-step explanation:

$21 divided by 3 equals 7 hours

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0.9 ÷ 0.12
bagirrra123 [75]

Answer:

\displaystyle 7\frac{1}{2}

Step-by-step explanation:

Turn the decimals into simplifies fractions first:

\displaystyle \frac{9}{10} \div \frac{3}{25} = \frac{9}{10} \times \frac{25}{3} = \frac{225}{30} = 7\frac{15}{30} = 7\frac{1}{2} \\ \\ OR \\ \\ \frac{\frac{9}{10}}{\frac{3}{25}} = \frac{3}{\frac{2}{5}} = 3 \times \frac{5}{2} = \frac{15}{2} = 7\frac{1}{2}

* 7½ = 7,5

I am joyous to assist you anytime.

4 0
3 years ago
Can someone help me I am stuck on this
Ainat [17]
How many of these do u want done?
5 0
3 years ago
On Gabriela’s first birthday, her parents gave her a $50 savings account. On every birthday after that her parents added to the
valkas [14]

Answer: a_1=50,d=25 and $475 deposited into the account on her birthdays by her 18th birthday.

Step-by-step explanation:

It is given that, on Gabriela’s first birthday, her parents gave her a $50 savings account.

Initial term : a_1=50

On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year.

Common difference : d=25

It forms an AP: 50,75,100,...

nth term of an AP is

a_n=a_1+(n-1)d

Substitute a_1=50 and d=25 in the above formula.

a_n=50+(n-1)25

It represents the amount deposited into the account after n birthdays.

We need to find the amount by her 18th birthday.

Put n=18 in the above equation.

a_{18}=50+(18-1)25

a_{18}=50+(17)25

a_{18}=50+425

a_{18}=475

Therefore, $475 deposited into the account on her birthdays by her 18th birthday.

7 0
4 years ago
What is the value of the expression? Show all work.<br> -9 - 6 + 8 ÷ -4 * -2?
nadya68 [22]

Step-by-step explanation:

To do Order of Operations, we need to go with the order of the formula, PEMDAS.

P= Parenthesis

E= Exponents

M= Multiply (Whatever Comes First in Equation: M and D)

D= Divide

A= Addition (Whatever Comes First in Equation: A and S)

S= Subtraction

---------------------------------------------

So, we need to start with parenthesis, there aren't any, so we move on to Exponents.

There are no Exponents either, so we start with division, then multiplication.

(We always have to go left to right).

So,

-9 - 6 + <u>8 / -4</u> x -2

-9 - 6 + <u>-2 x -2</u>

-9 - 6 + 4

Our problem is:

-9 - 6 + 4

We do subtraction, then addition. (Left to Right)

<u>-9 - 6 </u>+ 4

<u>-15 + 4</u>

-11.

Therefore, the answer is -11.

(Corrected)

7 0
3 years ago
I rlly rlly rlly need help! Complete the following proof. Given: Points R, S, T, Q on circle O Prove: m\overarc RS + m\overarc S
harina [27]

Answer:

m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ}) + m(major\ arc RQ) = 360\ degree

Step-by-step explanation:

As we can see in the figure that

The R, S, T ,and Q are the points on the circle O.

Also

The measurement of the circular arc is equivalent to the measurement of the angle at the center of the arc

So by this

m(\widehat{RS})=m(\angle ROS)

m(\widehat{ST})=m(\angle SOT)

m(\widehat{TQ})=m(\angle TOQ)

m(major arc RQ) = m(∠QOR)

So,

m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ}) + m(major\ arc RQ) = m(\angle ROS)+m(\angle SOT)+m(\angle TOQ)+m(\angle QOR)

And as we know that

All angles sum = 360°

Therefore

m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ}) + m(major\ arc RQ) = 360\ degree

8 0
4 years ago
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