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IRISSAK [1]
3 years ago
5

there are 27 small cubes arranged in a 3 by 3 by 3 cube. The top and sides of the cube are painted red. How many of the 27 small

cubes have 0 faces painted? 1 face? 2 faces? 3 faces? 4 faces? 5 faces? 6 faces?
Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

1 Face has 0 face painted

Step-by-step explanation:

As per the question a  painted cube that is cut into 27 equal-size smaller cubes has been cut into a 3 * 3 * 3 arrangement.

 

There is 1 cube in the very center

 On each of the 6 sides of the cube, there is a central smaller cube that is painted once.

 

Of the 27 (3*3*3) smaller cubes formed by the cutting, 1 gets no paint, 6 are painted on 1 face, 12 are painted on 2 faces, and 8 are painted on 3 faces (total 27 cubes).

1 (no paint) + 6 (painted 1) + 12 (painted 2) + 8 (painted 3) = 27 total

The sum of the painted faces (of the small cubes) is 54 (which is 6*9).

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Jeff's mother gave him money. he used an equal amount of money each day. at the end of the 7th day, he was left with 1/4 of how
skelet666 [1.2K]

Jeff received 280$ from his mother

Such questions are the simplest as it needs you to just write the conditions accordingly which then simplifies and provides you the answer.

This question can be solved using two tricks which are shown below:-

Trick  1 :

1 – 1/4 = 3/4 (used for the 1st 7 days)

1/4 – 410 (used for 8th and 9th days)

(3/4)/7 ——- (1/4 – 10)/2

(3/4) x (2/7) = 3/14 ——- (1/4 – 10)

1/4 – 3/14 = (7 – 6)/28 = 1/28 ——- 10

28/28 ——- 10 x 28 =$ 280

Trick 2 :

7 days ——- 3/4

1 day ——- 3/28

2 days ——- 6/28

6/28 ——- (1/4 – 10) = 7/28 – 410

1/28 ——- 10

28/28 ——- 10 x 28 = $280

Thus Jeff received 280$ from his mother.

Learn more about simple math here :

brainly.com/question/23678

#SPJ4

4 0
2 years ago
Finding Derivatives Implicity In Exercise, find dy/dx implicity.<br> 4x3 + ln y2 + 2y = 2x
lisov135 [29]

Answer:

\frac{dy}{dx}=\frac{y(1-6x^2)}{(1+y)}

Step-by-step explanation:

Given function : 4x³ + ln(y²) + 2y = 2x

on differentiating both sides with respect to 'x', we get

\frac{d(4x^3 + ln(y^2) + 2y)}{dx}= \frac{d(2x)}{dx}

or

12x^2+\frac{2}{y}(\frac{dy}{dx})+2(\frac{dy}{dx})=2

or

12x^2+(\frac{2}{y}+2)\frac{dy}{dx}=2

or

(\frac{2+2y}{y})\frac{dy}{dx}=2-12x^2

or

\frac{dy}{dx}=\frac{y(2-12x^2)}{2+2y}

or

\frac{dy}{dx}=\frac{2y(1-6x^2)}{2(1+y)}

or

\frac{dy}{dx}=\frac{y(1-6x^2)}{(1+y)}

3 0
3 years ago
Arithmetic sequence 12, 10, 8, 6
Dennis_Churaev [7]
It's simply 4,2,0,-2..... the pattern is just subtracting two as you go on.
4 0
3 years ago
Read 2 more answers
18 , 161/2, (50/2)1/2 Order the expressions from least to greatest. A) 161/2, 18 , (50/2)1/2 B) (50/2)1/2, 18 , 161/2 C) 161/2,
Anton [14]

Answer:

18,161/2,(50/2)1/2

18,161/2,(25)1/2

18,161/2,25×1/2

18/1,161/2,25/2

3 0
3 years ago
Name 5 body parts and five foods
tatiyna

Answer:

Arm, leg, toe, head, foot

French toast sticks (My fave), pizza, cheeseburgers XD, fries, and hotdog

Step-by-step explanation:

Was this for your school work or were you being funny lol?

3 0
2 years ago
Read 2 more answers
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