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bogdanovich [222]
3 years ago
10

The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The to

tal cost for 5 people to enter the amusement park and each rent a locker is $180. How much does it cost for one person to rent a locker?
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

it costs 8 dollars to rent a locker because

28x5=140

180-140=40

40/5= 8

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????????????????????????????
katrin2010 [14]

Answer: See below.

Step-by-step explanation:

Let's go number by number.

Rational pretty much means you can put it into a fraction of whole numbers.

The first number is -81,572.

  • This number is <u>rational</u> because it can be put into a fraction (\frac{-81572}{1}) that is made up of whole numbers.

The second number is \sqrt{11}.

  • This number is <u>irrational</u> because it cannot be put into a fraction of whole numbers.
  • Keep in mind that most squareroots are irrational. Especially those that don't equal a whole number.

The third number is 5.636336333

  • There is a pattern so the number is <u>rational</u>.
  • Usually a pattrn means it can be put into a fraction.

The fourth number is \sqrt{16}. This equals 4 if you solve it out.

  • Since we just get 4, that certainly can be put into a fraction of whole numbers, so this is <u>rational.</u>
5 0
4 years ago
Read 2 more answers
A circle has a center at 4 – 5i and a point on the circle at 19 – 13i. Which of the following points is also on the circle? –11
TiliK225 [7]

To solve the problem we must know about the equation of a circle and complex numbers.

<h2>Equation of circle</h2>

Radius² = (Distance between the center and any point on the circle)²

Radius = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

<h2>Complex Number </h2>

Complex Number, z = (x +iy)

Another point that will lay on the same circle is (12 + 10i).

<h2>Explanation</h2>

Given to us

  • center = (4 – 5i)
  • point on the circle = (19 – 13i)

Solution

We know that equation for a circle can be written as,

<h3>Radius of the Circle </h3>

Radius of the Circle

= √(Distance between the center and any point on the circle)²

Radius of the Circle = √[4-19]²+[-5 -(-13)]²

                                 = √[-15]²+[8]²

                                 = √225 + 64

                                 = √225 + 64

                                 = √289

                                 = 17

Now compare the distance between the center of the circle and the points.

<h3>Comparison</h3>

A.)  –11 –3i

Distance between the center and point on the circle

= √[4-(-11)]² + [-5 - (-3)]²

= √[15]² + [-2]²

= √225 + 4

= √229

B.)  –4. 5+3. 5i

Distance between the center and point on the circle

= √[4-(-4.5)]² + [-5 - (3.5)]²

= √[9.5]² + [-8.5]²

= √90.25+ 72.25

= √162.5

C.)  12 + 10i

Distance between the center and point on the circle

= √[4-(12)]² + [-5 - (10)]²

= √[-8]² + [-15]²

= √64+ 225

= √289

= 17

D.)  21 + 12i.

Distance between the center and point on the circle

= √[4-(21)]² + [-5 - (12)]²

= √[17]² + [-17i]²

= √289+ 289

= √578

Hence, another point that will lay on the same circle is (12 + 10i).

Learn more about Equation of Circle:

brainly.com/question/10165274

3 0
2 years ago
Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.
bagirrra123 [75]

Answer:

1.25.

Step-by-step explanation:

The common ratio r  is 1/5 and the first term a1 = (1/5)^(1-1) = 1.

Sum to infinity =  a1 / (1 - r)

=  1 / (1 - 1/5)

= 1 / 4/5

= 5/4

= 1.25 (answer)

8 0
4 years ago
Read 2 more answers
You are tired at the end of the term and decide to borrow $500 to go on a trip to whatever land. You go to the bank and borrow t
seropon [69]

Answer:

A)55

B)110


Step-by-step explanation:500 /11%=55

55*2=110






3 0
3 years ago
What type of angle is R?
tester [92]

Answer:

obtuse

Step-by-step explanation:

its over 90 degrees

8 0
3 years ago
Read 2 more answers
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