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Marina CMI [18]
3 years ago
14

Ivan has a piece of lumber 104 Inches long. He is sawing it into 12-inch lengths to make fence post. He says he can get about 9

fence posto out of the board.
Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0
12 iches x 9 = 108 hope that helps.
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VE
Firdavs [7]

Answer:

$4167

Step-by-step explanation:

Original Amount: $4167 (rounded)

First Year: $4167 + $416.7 = $4583.7

Second Year $4583.7 + $416.7 = 5000.4

8 0
3 years ago
Can someone please help me factorize this one:<br><img src="https://tex.z-dn.net/?f=0.01y%20%7B%7D%5E%7B2%7D%20%20-%20%20%5Cfrac
Scorpion4ik [409]

First let us convert 0.01 into fraction:

\frac{y^{2}}{100}  -\frac{1}{4}

Now we convert 100 and 4 into perfect squares as follows:

(\frac{y}{10})^{2}-(\frac{1}{2})^{2}

Now we use the property of :

x^{2} -y^{2} =(x+y)(x-y)

(\frac{y}{10} +\frac{1}{2} ) (\frac{y}{10} -\frac{1}{2} )

4 0
3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
Solve for x: 12-2x=-2(y-x)
a_sh-v [17]
12 - 2x = -2(y - x)

12 - 2x = -2y - (-2x)

12 - 2x = -2y + 2x

12 - 2x - 2x = -2y + 2x - 2x

12 - 4x = -2y

12 - 12 - 4x = -2y - 12

-4x = -2y - 12

-4x/4 = -2y/4 - 12/4

-x = -0.5y - 3

-x/-1 = -0.5y/-1 - 3/-1

x = 0.5y + 3

or

x = 3 + 0.5y
3 0
3 years ago
What is a 2c − 5b − c a − b simplified?
timama [110]
All you have to do is combine like terms. 2c and (-c) are like terms (-5b) and (-b) are like terms and a is a term. So, 2c combined with (-c) is C. (-5b) and (-b) combined is (-6b). Since a doesnt need to be combined with anything, you leave it as it is so your answer will then be c - 6b + a (this is the answer assuming that there is a + in front of the a. If there is a - sign, then just change your +a to -a at the end
7 0
3 years ago
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