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Mama L [17]
3 years ago
15

Charlie knows that 3 blocks are needed to make a tower that is 0.5 foot high.

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

Answer:

24 blocks will be needed to make the tower that is 4 feet high

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Charlie knows that 3 blocks are needed to make a tower that is

   0.5 foot high

∵ He needs to make a tower that is 4 feet high

→ By using the ratio method

→  Blocks  :  height (ft)

→   3          :   0.5

→   x          :   4

→ By using the cross multiplication

∵ x × 0.5 = 3 × 4

∴ 0.5x = 12

→ Divide both sides by 0.5 to find x

∵ \frac{0.5x}{0.5} = \frac{12}{0.5}

∴ x = 24

∵ x represents the number of blocks

∴ 24 blocks will be needed to make the tower that is 4 feet high

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Answer:

<em>4x^3(x^2 - 5)</em>

Step-by-step explanation:

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43. Simplify (k – 5) - (k2 + 8).
lesantik [10]

Answer:

(D) -k2 + k - 13

Step-by-step explanation:

Pulling out like terms :

2.1     Pull out like factors :

  -k2 + k - 13  =   -1 • (k2 - k + 13)

Trying to factor by splitting the middle term

2.2     Factoring  k2 - k + 13

The first term is,  k2  its coefficient is  1 .

The middle term is,  -k  its coefficient is  -1 .

The last term, "the constant", is  +13

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   -1 .

     -13    +    -1    =    -14

     -1    +    -13    =    -14

     1    +    13    =    14

     13    +    1    =    14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -k2 + k - 13

Processing ends successfully

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