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enyata [817]
3 years ago
5

Item 19 A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball i

n the container has a radius of 2.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.
Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.

Volume of cylinder: πr²h
                                   π2.5²(20) = 392.7 cm³

Volume of sphere: 4/3πr³
                                 4/3π2.5³ = 65.45 cm³

392.7 - 65.45 = 327.25

The amount of space in the container unoccupied by the rubber balls is 327 cm³.
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The Johnson family had a meal catered for a wedding rehearsal dinner. The cost of the dinner was $476. There was a 5% sales tax
Natasha2012 [34]

5% of 476 =0.05*476

1) If the tips were left from the cost of dinner including sale taxes

15 % tips would be (476+0.05*476)*0.15.

2) If tips would be left only from the cost of the dinner it would be

0.15*476

Total cost = cost of dinner +tax+tips

<h3>How does sales affect cash flow?</h3>

Sales growth affects cash flow in two ways: through the growth effect and through the impact on management's choice of how to handle it. Growth in sales affects all other revenue-generating activities that appear on the organization's balance sheet or income statement.

1)    for the case when tips left from the sum of cost of the dinner and taxes

total cost = 476 +0.05*476 +  (476+0.05*476)*0.15=574.77

2) for case when tips left only from the cost of the dinner

total cost = 476 +0.05*476 +0.15*476 = 571.20

Sales growth has an impact on cash flow in two ways: directly through the growth effect and indirectly through the management's decision-making process. Sales growth has an impact on all other revenue-generating activities that are shown on the balance sheet or income statement of the company.

Dinner cost plus taxes and tips equals the total cost.

1) For the case where taxes and the cost of the meal plus tips are subtracted

$574.77 ($476 + 0.05*476 + (476 + 0.05*476)*0.15) is the total price.

2) if only the dinner tab was taken from the tips

Total cost: 571.20 ($476 + 0.05 * 476 + 0.15 * 476).

Normally, taxes and tips are subtracted from the total amount, so perhaps you should choose Option 1).

To learn more about sales affect cash flow refer to:

brainly.com/question/24179665

#SPJ1

5 0
1 year ago
For the equation, complete the solution. 8x + y = −7 <br> (x, y) = , 1
butalik [34]

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

8x + y = −7

for y = 1

8x + 1 = -7

subtract 1 from boh sides

8x = -8

divide bot sides by 8

x = -1

(x, y) = (-1, 1)

7 0
2 years ago
PLEASE HELP ITS TIMED WILL GIVE MORE THEN 5 POINTS AND BRAINLIEST
Fofino [41]

Answer:

I believe it is c

Step-by-step explanation:

Correct me if I'm wrong but since the two lines look the same length I believe it is c

6 0
3 years ago
Each saddle has exactly two saddle bags on it
neonofarm [45]
So we have 22 riders....each carrying 2 saddle bags.....thats (2 * 22) = 44 bags.....each saddle bag has 3 waters....(44 * 3) = 132 total water bottles
4 0
3 years ago
Anthony has to practice his guitar for 1.75 hours each morning and 2.5 hours each evening for the first 4 days this week. How ma
weqwewe [10]

Answer:

17 hours

Step-by-step explanation:

From the above question,

Anthony is practicing 4 days in a week

Hence

The number of hours he practices in the morning for 4 days =

1.75 hours × 4

= 7 hours

The number of hours he practices in the evening for 4 days =

2.5 hours × 4

= 10 hours

Therefore, the total number of hours he practices this week

= 7 hours + 10 hours

= 17 hours

5 0
2 years ago
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