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ioda
1 year ago
11

the table shows the cost of renting an inner tube to use at the wave-a-rama water park. explain how to write an equation to repr

esent the data in the table. then give the equation for the data table.(Input:2, 3 and 4 Output: $11, $16.50, and $22.)
Mathematics
1 answer:
Natalija [7]1 year ago
4 0
The equation would be: C = 5.5T, where C is the Cost and T is the number of tubes.

If you divide all of the outputs by the inputs, you will get 5.5. That means it's a proportional relationship. Just multiply the number of tubes by 5.5 and you will have your cost.
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Let’s play Pick-A-Ball with replacement! There are 10 colored balls: 3 red, 4 white, and 3 blue. The balls have been placed into
Anettt [7]

Answer:

0.48

Step-by-step explanation:

There are 10 colored balls: 3 red, 4 white, and 3 blue.

You selected 2 balls at random. They may be

RR, WW, BB, RW, RB, WB, WR, BR, BW.

To find the probability of selecting the color of ball that you just selected, find this probability in each of previous cases:

RR: (One red ball left and 8 balls left in total)

P_{RR}=\dfrac{3}{10}\cdot \dfrac{2}{9}\cdot \dfrac{1}{8}=\dfrac{1}{120}

WW: (Two white balls left and 8 balls left in total)

P_{WW}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{2}{8}=\dfrac{1}{30}

BB: (One blue ball left and 8 balls left in total)

P_{BB}=\dfrac{3}{10}\cdot \dfrac{2}{9}\cdot \dfrac{1}{8}=\dfrac{1}{120}

RW: (Two red and three white balls left and 8 balls left in total)

P_{RW}=\dfrac{3}{10}\cdot \dfrac{4}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}

RB: (Two red and two blue balls left and 8 balls left in total)

P_{RB}=\dfrac{3}{10}\cdot \dfrac{3}{9}\cdot \dfrac{4}{8}=\dfrac{1}{20}

WB: (Two blue and three white balls left and 8 balls left in total)

P_{WB}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}

WR: (Two red and three white balls left and 8 balls left in total)

P_{WR}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}

BR: (Two red and two blue balls left and 8 balls left in total)

P_{BR}=\dfrac{3}{10}\cdot \dfrac{3}{9}\cdot \dfrac{4}{8}=\dfrac{1}{20}

BW: (Two blue and three white balls left and 8 balls left in total)

P_{BW}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}

In total, the probability of selecting the color of ball that you just selected is

\dfrac{1}{120}+\dfrac{1}{30}+\dfrac{1}{120}+2\cdot\dfrac{1}{12}+2\cdot \dfrac{1}{20}+2\cdot \dfrac{1}{12}=\\ \\=\dfrac{1}{120}+\dfrac{4}{120}+\dfrac{1}{120}+\dfrac{20}{120}+\dfrac{12}{120}+\dfrac{20}{120}=\dfrac{58}{120}=\dfrac{29}{60}\approx 0.48

3 0
1 year ago
Fill in the blank. Given O below, you can conclude that xz is congruent to
Illusion [34]

Answer:

D

Step-by-step explanation:

I do not know the mathematical answer all i know is that they are congruent

7 0
1 year ago
Read 2 more answers
Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is n
Alla [95]

Answer:

No. The last ratio is not written with the values in the same position as the others. It should be 50

10

to be consistent. If the ratio were written this way, then the ratios would all be equivalent . The relationship is proportional.

Step-by-step explanation:

I just did this!

4 0
2 years ago
Read 2 more answers
A County Superintendent of Highways is interested in the numbers of different types of vehicles that regularly travel within his
Karolina [17]

Answer:

a) The ratio of passenger cars to pickup trucks is \frac{5}{7}

The ratio of pickup trucks to passenger cars is \frac{7}{5}

The ratio of passenger cars to total vehicles is \frac{5}{12}

The ratio of pickup trucks to total vehicles is \frac{7}{12}

b) The tape diagram is shown in the attached picture.

c) The tape diagram has 12 equal-sized parts.

d) The total quantity that the tape diagram represent is 192.

e) The value of each individual part of the tape is 16.

f) There were registered 80 passenger cars and 112 pickup trucks.

Step-by-step explanation:

a) According to the information in the problem, that for every 5 passenger cars registered, there were 7 pickup trucks registered.

So the ratios are:

Passenger cars to pickup trucks: \frac{5}{7}

Pickup trucks to passenger cars: \frac{7}{5}

If we calculate the total vehicles: 5+7=12

So, we can get two ratios more:

Passenger cars to total vehicles is \frac{5}{12}

Pickup trucks to total vehicles is \frac{7}{12}

b) We make a tape diagram where each box represents a vehicle so we draw 5 boxes for cars and 7 boxes for pickup trucks.

c) If we count the total quantity of boxes, there are 12.

d) This diagram represents the total quantity of registrations in August which is 192.

e) To get the representation of each part of the tape diagram we have to divide 192 by 12. 192÷12=16

f) Finally, we multiply 16 by the number of boxes of each type of vehicle:

Cars: 16×5=80

Pickup trucks: 16×7=112

6 0
1 year ago
Which equation represents the line shown on the graph?
Mama L [17]

Hello there,

To find out the equation you use the slope intercept form...

y = mx + b

M is the slope and b is where the line crosses the y-axis...

Now to find the slope you count the distance from two points so...

The distance from (0,2) to (1,5) is 3 units up and 1 unit over.

So the correct answer should be...

y = 3x + 2


Answer: w = 3z + 2


Hope I helped!!

-Char

8 0
1 year ago
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