What does mean time as many

What is the volume of a cylinder if the radius is 7cm and the height is 15.5cm?

mariarad [96]

Answer:

2384.83 cm³

Step-by-step explanation:

Volume = πr² * h

Volume = 3.14 * 7² * 15.5

Volume = 3.14 * 49 * 15.5

Volume = 2384.83

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-Chetan K

5 0

3 years ago

(3.4 * 10^12) + (1.7 x 10^11)

cestrela7 [59]

Answer:

3.57x10^12

Step-by-step explanation:

1) (3.4x10^12)

1a) (3.4x1000000000000)

1b) (3400000000000)

2) (1.7x10^11)

2a) (1.7x100000000000)

2b) (170000000000)

3) (3400000000000)+(170000000000)

3a) 3570000000000

3b) 3.57x10^12

3 0

3 years ago

Question 30 The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type

Flura [38]

Answer:

The answer is below

Step-by-step explanation:

The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?

Answer: Let x be the number of pints of the first fruit juice (i.e 65%) and y be the number of pints of the second fruit juice (i.e 90%).

Since the total number of pints to make the 85% pure fruit juice is 80, it can be represented using the equation:

x + y = 80 . . . 1)

Also, x pints of the first juice = 0.65x, y pints of the second juice = 0.9y and 80 pints of the mixture to be produced = 80(0.85) = 68. Therefore:

0.65x + 0.9y = 68 . . . 2)

We have to solve equation 1 and 2 simultaneously, first multiply equation 1 by 0.65 to get equation 3:

0.65x + 0.65y = 52 . . . 3)

Subtract equation 3 from 2 and solve for y:

0.25y = 16

y = 16/0.25 = 64

y = 64 pints

Put y = 64 in equation 1:

x + 64 = 80

x = 80 - 64 = 16

x = 16 pints

Therefore 16 pints of the 65% pure fruit juice, and 64 pints of the 90% pure fruit juice is required to make 80 pints of 80% fruit juice.

4 0

4 years ago

What is the √299 and √675

Leona [35]

Answer:

√299=17.2916164658 √675= 25.9807621135

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the coordinates of the vertices formed by the system of inequalities.

mel-nik [20]

Answer:

A

Step-by-step explanation:

To find the coordinates of the vertices , treat the inequalities as equations and solve them in pairs, simultaneously, that is

x + y = 9 → (1)

y - 2x = - 21 → (2) ← add 2x to both sides

y = - 21 + 2x → (3)

Substitute y = - 21 + 2x into (1)

x - 21 + 2x = 9

3x - 21 = 9 ( add 21 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Substitute x = 10 into (3)

y = - 21 + 20 = - 1

Coordinates of vertex = (10, - 1 )

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

y - 2x = - 21 → (1)

y = - 4x + 15 → (2)

Substitute y = - 4x + 15 into (1)

- 4x + 15 - 2x = - 21

- 6x + 15 = - 21 ( subtract 15 from both sides )

- 6x = - 36 ( divide both sides by - 6 )

x = 6

Substitute x = 6 into (2)

y = - 24 + 15 = - 9

Coordinates of vertex = (6, - 9 )

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

x + y = 9 → (1)

y = - 4x + 15 → (2)

Substitute y = - 4x + 15 into (1)

x - 4x + 15 = 9

- 3x + 15 = 9 ( subtract 15 from both sides )

- 3x = - 6 ( divide both sides by - 3 )

x = 2

Substitute x = 2 into (2)

y = - 8 + 15 = 7

Coordinates of vertex = (2, 7 )

7 0

3 years ago