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Molodets [167]
3 years ago
8

John has yellow, green, and red cubes, each with side length c. Eight yellow cubes are glued together to make a larger cube. An

even larger cube is made by gluing on green cubes until no yellow cubes can be seen. After that, John covers the green cubes with red ones so that green also cannot be seen, making an even larger cube. The minimum number of green and red cubes were used to cover previous colors. What is the volume of the final big red cube?
Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0
73 or 39 is the most possible answer 
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Replace ∗ with a monomial so that the derived equality will be an identity: (15y + ∗)2 = 225y2+12x3y+0.16x6
kobusy [5.1K]

Answer:

<u>∗ = 0.4x³</u>

Step-by-step explanation:

(15y + ∗)² = 225y²+12x³y+0.16x⁶

<u>Note:</u>

225y² = 15y * 15y = (15y)²

12x³y = 2 * 15y * 0.4x³

0.16x⁶ = 0.4x³ * 0.4x³ = (0.4x³)²

So, by factoring the right hand side:

225y²+12x³y+0.16x⁶ = (15y + 0.4x³)²

By comparing the left hand side with (15y + 0.4x³)²

<u>So, ∗ should be replaced with the monomial 0.4x³</u>

6 0
3 years ago
Sophie is eating a 50-gram chocolate bar which contains 30% of coca. How many grams of coca are in the chocolate bar?
Alekssandra [29.7K]
30/100 * 50 = 15 gram of coco
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3 years ago
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In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Masja [62]

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

3 0
3 years ago
4+8÷2-2×3 what would we do first a 4+8 b8÷2 c2-2 d2×3​
murzikaleks [220]

Answer:

multiplication, so d, 2 x 3

Step-by-step explanation:

remember... PEMDAS!!

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2 years ago
Rectangle EFGH is similar to rectangle JKLM. Which proportion can be used to
Dominik [7]

*See attached picture for the diagrams being referred to

Answer:

C. ⁵/12= ²/x

Step-by-step Explanation:

Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.

Thus, EF/JK = FG/KL

Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:

⁵/12= ²/x

6 0
2 years ago
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