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Westkost [7]
3 years ago
5

Inverse Variation

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0
(1)\\R\cdot I=a\ \ \ \ and\ \ \ 50\cdot 0.15=a\\\\ \ \Rightarrow\ \ \ a=7.5\ \ \ \Rightarrow\ \ I= \frac{7.5}{R} \ \ \ \Rightarrow\ \ \ Ans.\ A.\\\\(2)\\x\cdot y=a\ \ \ and\ \ \ 8\cdot6=a\\\\ \ \Rightarrow\ \ \ a=48\ \Rightarrow\ \ \  xy=48\ \ \ \Rightarrow\ \ \ 10y=48\ \Rightarrow\ \ \ y=4.8\ \Rightarrow\ \ \ Ans.\ D.\\\\(3)\\xy=-12\ \ \Rightarrow\ \ \ constant=-12\ \ \Rightarrow\ \ \ Ans.\ D.\\\\

(4)\\xy=-12\\\\e.g.:\ \ \ x=3\ \ and\ \ y=-4\ \ \ \ or\ \ \ \ x=-3\ \ and\ \ y=4\ \ \Rightarrow\ \ Ans.\ A.\\\\(5)\\V\cdot T=a\ \ \ and\ \ \ 18\cdot 3=a\\\\ \ \ \Rightarrow\ \ \ a=54\ \ \ \Rightarrow\ \ \ V\cdot T=54\ \ \ \Rightarrow\ \ \ V= \frac{54}{T} \ \ \ \Rightarrow\ \ \ Ans.\ C.
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Ciro purchased a concert ticket for $56 . The cost of the ticket was 4/5 the cost of his dinner. The cost of his hotel was 2 1/2
NeTakaya

$266

<h3>Further explanation</h3>

<u>Given:</u>

Ciro purchased a concert ticket for $56.

The cost of the ticket was ⁴/₅ the cost of his dinner.

The cost of his hotel was 2¹/₂ times much as his ticket.

<u>Question:</u>

How much did Ciro spend altogether for the concert ticket, hotel, and dinner?

<u>The Process:</u>

Note from all the data above we can start from the cost of his dinner by forming a pattern of 5 units.

Dinner: \boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}

Since the cost of the ticket is ⁴/₅ the cost of the dinner, then we arrange the cost of the ticket by forming a pattern of 4 units containing $ 14 each. Recall that \boxed{\$ 56 \div 4 = \$ 14}

Ticket: \boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14} = \$ 56

Let us calculate the cost of his dinner:

\boxed{ \ 1 \ unit = \$ 14 \rightarrow 5 \ units = \$ \ ? \ }

Dinner: \boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14} = \$ 70}

\boxed{ \ \ or \ 5 \ unit \times \$ 14 = \$ 70 \ }

Hence, the cost of his dinner is \boxed{\boxed{ \ \$ 70 \ }}

Since the cost of his hotel is 2¹/₂ times much as his ticket, then we arrange the cost of his hotel by forming a pattern of two and one-half units of the cost of ticket.

Let us calculate the cost of his hotel:

\boxed{ \ 1 \ ticket = \$ 56 \rightarrow 2\frac{1}{2} \ units = \$ \ ? \ }

Hotel: \boxed{\$ 56}\boxed{\$ 56}\boxed{\$ 28} = \$ 140}

\boxed{ \ \ or \ \frac{5}{2} \ unit \times \$ 56 = \$ 140 \ }

Recall that \boxed{\ 2\frac{1}{2} = \frac{5}{2}}

Hence, the cost of his hotel is \boxed{\boxed{ \ \$ 140 \ }}

In the final step, we calculate how much Ciro spend altogether for the concert ticket, hotel, and dinner.

\boxed{ \ The \ concert \ ticket = \$ 56 \ }

\boxed{ \ The \ hotel = \$ 140 \ }

\boxed{ \ The \ dinner = \$ 70 \ }

\boxed{ \ \$ 56 + \$ 140 + \$ 70 = \$ 266 \ }

Thus, Ciro spent $266 altogether for the concert ticket, hotel, and dinner.

<h3>Learn more</h3>
  1. What is the width of the actual snowflake? brainly.com/question/1070912
  2. How much does his cat weigh (Jesse's)? brainly.com/question/388037
  3. How much more paint will Mathilde need to buy? brainly.com/question/36885

Keywords: Ciro purchased a concert ticket for $56, pattern, 4/5 the cost of his dinner, the cost of his hotel was 2 1/2 times much as his ticket, Ciro spend altogether

4 0
4 years ago
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Emily bought 30 yards of fabric to make curtains. How many inches of fabric did Emily buy? Emily bought inches of fabric.
Phantasy [73]

Answer:

Emily bough 1080 inches of fabric.

Step-by-step explanation:

There are 36 inches in a yard.

36 multiplied by 30 = 1080.

8 0
4 years ago
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WHOEVER ANSWERS THE FASTEST WINS BRAINIEST ANSWER AND GETS 98 POINTS FOR THIS QUESTION!!!!!! WHO CAN DO IT?
olga nikolaevna [1]

coordinates of b'a'c are

A:(-5,6)

B:(-5,10)

C:(-3,8)

ANswers of ' are

A'(-6,5)

B'(-10,5)

C'(-8,3)

hope this helped

3 0
3 years ago
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Which of the following points lies on the line whose equation is y = 2 x - 3? (0, 3) (1, -1) (-1, 4)
Mashutka [201]

The equation of the line: y = 2x - 3

Put the coordinates of the points to the equation and check the equality:

(0, 3) → x = 0, y = 3

L = 3, R = 2(0) - 3 = -3

L ≠ R   INCORRECT  :(


(1, -1) → x = 1, y = -1

L = -1, R = 2(1) - 3 = 2 - 3 = -1

L = R   CORRECT :)


(-1, 4) → x = -1, y = 4

L = 4, R = 2(-1) - 3 = -2 - 3 = -5

L ≠ R   INCORRECT :(


<h3>Answer: (1, -1)</h3>
5 0
3 years ago
Which ordered pair is a solution to the system of equations? Use any method to solve. 2x-y=5 3x+2y=4
Ymorist [56]
Elimination 

2 ( 2x -y=5)  multiply    =   4x -2y=10 
                                           3x +2y=4 
 

* add the X's and the 10 and 4         7x=14    * divide by 7  giving you    
 
                                            x=2

*and then plug back in

3(2) +2y =4
    6 + 2y = 4
           2y= -2
                y= -1

the order pair is ( 2 , -1)


7 0
3 years ago
Read 2 more answers
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