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Jlenok [28]
3 years ago
7

How many cubes with an edge length of 1/2 are needed to fill a rectangular prism that is 2in by 2in by 3in

Mathematics
1 answer:
siniylev [52]3 years ago
8 0

Answer:

Step-by-step explanation:

2in by 2in by 3in

if each cube is 1/2 edge length then

4 by 4 by 6

4x4x6

16x6

96

96 cubes are needed

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Solve the following system. Please show me how you did it.
Andrej [43]

Answer:

x = 3, y = 4 and z = -5.

Step-by-step explanation:

Use the elimination method:

-3x + 2y + z = -6...........(1)

x + 3y + 2z = 5..............(2)

4x + 4y + 3z = 13..........(3)

Multiply the first equation by -2:

6x - 4y - 2z = 12   Add this to equation (2):

7x  - y  = 17...........(4)

Now Multiply equation (2) by 3 and equation (3) by -2

3x + 9y + 6z = 15 ............(5)

-8x - 8y - 6z = -26............(6)   Adding (5) + (6):

-5x + y = -11..........(7)

Now Add (7) and (4):

2x = 6

x = 3.

Now  substitute for x in (4):

7(3) - y = 17

-y = 17 - 21 = -4

y = 4.

Finally substitute for x and y in equation (3) to find z:

4(3) + 4(4)  +3z = 13

3z = 13 - 12 - 16 = -15

z = -5.

4 0
2 years ago
Which of the following represent the same level of precision? Check all that apply. A. 1,265 B. 54.651 C. 24.5 D. 0.703
avanturin [10]

Answer:

Option B and option D are true.

( B. 54.651   and     D. 0.703  )

Step-by-step explanation:

<u>Precision:</u>

it is the accuracy (as in binary or decimal places) with which a number can be represented usually expressed in terms of the number of computer words available for representation.

Clearly from the given set of the numbers in the options i.e.:

A. 1,265         B. 54.651         C. 24.5             D. 0.703

We could observe that the number of digits after the decimals are equal in B and D options.

Hence the two numbers are precise at the same level.

Hence, option B and Option D are true.

( B. 54.651   and     D. 0.703  )

7 0
3 years ago
Read 2 more answers
Arsenic is a compound that occurs naturally in very low concentrations. Arsenic blood concentrations in healthy adults are Norma
DENIUS [597]

Answer:

0.7325 to 5.6675 ug/dl

Step-by-step explanation:

The middle 90% will be 45% above the mean and 45% below the mean.  This means

0.5-0.45 = 0.05 and

0.5+0.45 = 0.95

We use a z table.  Look in the cells; find the values as close to 0.05 and 0.95 as we can get.

For 0.05, we have 0.0505 and 0.0495; since these are equidistant from 0.05, we use the value between them.  0.0505 is z=-1.64 and 0.0495 is z=1.65; this gives us z=-1.645.

For 0.95, we have 0.9495 and 0.9505; since these are equidistant from 0.95, we use the value between them.  0.9495 is z = 1.64 and 0.9505 is z=1.65; this gives us z = 1.645.

Now we use our z score formula,

z=\frac{X-\mu}{\sigma}

Our two z scores are 1.645 and -1.645; our mean, μ, is 3.2; and our standard deviation, σ, is 1.5:

1.645=\frac{X-3.2}{1.5}

Multiply both sides by 1.5:

1.5(1.645)=\frac{X-3.2}{1.5}\times 1.5\\\\2.4675 = X-3.2

Add 3.2 to each side:

2.4675+3.2 = X-3.2+3.2

5.6675 = X

-1.645=\frac{X-3.2}{1.5}

Multiply both sides by 1.5:

1.5(-1.645)=\frac{X-3.2}{1.5}\times 1.5\\\\-2.4675=X-3.2

Add 3.2 to each side:

-2.4675+3.2 = X-3.2+3.2

0.7325 = X

Our range is from 0.7325 to 5.6675.

5 0
2 years ago
The sum of three consecutive odd numbers is 153 find the number ​
balu736 [363]

Answer:

Divide the no. by three

Step-by-step explanation:

153÷3 = 51

so, 51+51+51 = 153

5 0
2 years ago
Read 2 more answers
Answer this please ......
maks197457 [2]

Answer:

Total surface area is 48 the lateral surface area would be 36

Step-by-step explanation:

4 x 3 = 12

Half of 3 (1.5) x 4 = 6 which you do twice so 12

5 x 3 = 15

3 x 3 = 9

Add all that and you get 48

4 0
3 years ago
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