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Artemon [7]
3 years ago
13

a box of crackers has a volume of 48 cubic inches. what is the volume of a similar box that is smaller by a scale factor of 2/3

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0
For this case what you need to know is that the original volume of the cookie box is:
 V = (w) * (l) * (h)
 Where,
 w: width
 l: long
 h: height.
 We have then:
 V = (w) * (l) * (h) = 48 in ^ 3
 The volume of a similar box is:
 V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
 We rewrite:
 V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
 V = (w) * (l) * (h) * ((2/3) ^ 3)
 V = 48 * ((2/3) ^ 3)
 V = 14.22222222 in ^ 3
 Answer:
 the volume of a similar box that is smaller by a scale factor of 2/3 is:
 V = 14.22222222 in ^ 3
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Answer:

867

Step-by-step explanation:

622+180+100=902

902-35=867

3 0
2 years ago
How many times greater is<br> 3.8 x 105<br> than<br> 1.9 X 1022<br> 2<br> 20<br> 200<br> 2000
PilotLPTM [1.2K]

Step-by-step explanation:

there must be something wrong with your text.

what we can see is

3.8 × 105

and

1.9 × 1022

the true answer for these values has nothing to do with the 4 answer options.

maybe you meant

1.9 × 10.5 ?

because that answer would be 20.

but first working with the presented numbers :

3.8 × 105 = 399

1.9 × 1022 = 1941.8

so, the second number is actually much bigger than the first number.

but if it is

1.9 × 10.5 = 19.95

that works.

and we can either use the calculator to calculate

399 / 19.95 = 20

or we can simply look at the factor changes of the multiplication terms.

3.8 = 1.9 × 2

105 = 10.5 × 10

so, the multiplication product of the two larger numbers is then 2×10=20 times larger than the product of the 2 smaller numbers.

7 0
3 years ago
Factor (x^2-9) (x^2-16)
MrRissso [65]

Answer:

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Step-by-step explanation:

( x^2 - 9 ) ( x^2 - 16 )

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Hopefully this helps!

Brainliest please?

3 0
2 years ago
Read 2 more answers
X+2a=12+ax-6a; a= Simplify
lara31 [8.8K]

Answer:

x+2a=12+ax-6a

Step-by-step explanation:

collect liked terms:

x+2a=12+ax-6a

2a-ax+6a=12-x

factorize a on the left hand side:

a(2-x+6)=12-x

divide both sides by (2-x+6) :

a(2-x+6)/(2-x+6)= 12-x/(2-x+6)

a= 12-x

____

(2-x+6)

4 0
2 years ago
Please help urgent!!!<br> does 3 3/10 + 2 4/5 + 2 1/10 = 8.2?
Advocard [28]

Answer:

Yes

Step-by-step explanation:

Yes, 3 3/10 + 2 4/5 + 2 1/10 is equal to 8.2 because 3 3/10 + 2 4/5 + 2 1/10 is 41/5 and that into a mixed number is 8 1/5 and THAT into a decimal is 8.2

Hope this helped!

4 0
3 years ago
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