a rectangular prism is completely packed with 84 cubes of edge length 1 over 3 inch without any gap or overlap

1 answer:

5 0

The volume of a cube is s^3, where s is the length of a side.

If you have 84 cubes with sides of 1/3 in, the total volume is:

V=84(1/3)^3 in^3

V=84/27 in^3

V=28/9 in^3

V≈3.11 in^3 (to nearest hundredth of a cubic inch)

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Adult tickets for the school play are $12.00 and children's tickets are $8.00. If a theatre holds 300 seats and the sold out per

Vaselesa [24]

Let x = number of adult tickets, and y = number of children tickets. One equation must deal with the number of tickets, and the other equation must deal with the revenue from the tickets.

Then x + y = 300 is the number of tickets
12x + 8y = 3280 is the revenue from the tickets.

Using the substitution method:

x + y = 300   ⇒   y = 300 - x   ⇒   Equation (3)

12x + 8y = 3280   ⇒   12x + 8(300-x) = 3280   ⇒   x = 220

y = 300 - x   ⇒   y = 300-220 ⇒ 80

Therefore 220 adult tickets and 80 children's tickets were sold.

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3 years ago

Ž + 1 = 9 Ox = 16 x = 20 Ox = 4 Ox=5

kotykmax [81]

Answer:

x = 16

Step-by-step explanation:

-- = 9-1 ...... first shift 1 and it will be -1

x = 8 ....... secondly 9-1 =8

x = 16 ..... criss cross and 2×8 = 16

there fore the value of x is equals to 16.

you can check it!

4 0

3 years ago

Given a standard deck of 52 cards, 3 cards are dealt without replacement. Using this situation, answer the questions below.<b

kherson [118]

Given that 3 cards are dealt without replacement in a standard deck of 52 cards.

Part A:

There are 4 queens in a standard deck of 52 card, thus the probability that the first card is a queen is given by 4 / 52 = 1 / 13.

Since, the first card is not replaced, thus there are 3 queens remaining and 51 ards remaining in total, thus the probability that the second card is a queen is given by 3 / 51 = 1 / 17

Similarly the probability that the third card is a queen is given by 2 / 50 = 1 / 25.

Therefore, the probability that all three cards are queens is given by

$\frac{1}{13} \times \frac{1}{17} \times \frac{1}{25} = \frac{1}{5525}$

Part B:

Yes the probability of drawing a queen of heart is independent of the probability of drawing a queen of diamonds because they are separate cards and drawing one of the cards does not in any way affect the chance of drawing the other card.

Part C:

Given that the first card is a queen, then there are 3 queens remaining out of 51 cards remaining, thus the number of cards that are not queen is 51 - 3 = 48 cards.

Therefore, if the first card is a queen, the probability that the second card will not be a queen is given by 48 / 51 = 16 / 17

Part D:

Given that the first two card are queens, then there are 2 queens remaining out of 50 cards remaining.

Therefore, if two of the three cards are queens ,the probability that you will be dealt three queens is given by 2 / 50 = 1 / 25 = 0.04

Part E:

Given that the first two card are queens, then there are 2 queens remaining out of 50 cards remaining, thus the number of cards that are not queen is 50 - 2 = 48 cards.

Therefore, if two of the three cards are queens ,the probability that the other card is not a queen is given by 48 / 50 = 24 / 25 = 0.96

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3 years ago

A cube has a lateral surface area of 64sq m find the total surface area of the cube

Roman55 [17]

Answer:

384 square meters.

Step-by-step explanation:

Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:

A x 6 = X

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384 = X

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