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3 years ago

Marcus needs 108 inches of wood to make a frame. How many feet of wood does Marcus need for the frame?

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

3 0

9 inches, divide 108 by 12, because 12 inches makes a foot

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Find LCM of: x2 - 9, 3x3 + 81

VikaD [51]

Answer:

$\boxed{\pink{\sf (x + 3) \ is\ the \ LCM . }}$

Step-by-step explanation:

Given two expressions ,

$\qquad (1)\: x^2 - 9 \\\\ \qquad (2)\:3x^3 + 81$

And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .

Factorising x² - 9 :- 

$= x^2 - 9 \\\\= x^2 - 3^2 \\\\ \red{= (x+3)(x-3)} \qquad\bf [Using \ a^2-b^2 = (a+b)(a-b) ]$

Factorising 3x³ + 81 

$= 3x^3 + 81\\\\= 3(x^3+27) \\\\= 3( x^3+27) \\\\ = 3(x^3+3^3) \\\\ \red{= 3 [ (x+3)(x^2+9-3x) ] } \qquad \bf{[ Using \ a^3+b^3=(a+b)(a^2+b^2-ab) ] }$

Hence we can see that (x+3) is common factor in both expressions.

Hence the LCM is ( x+3 ) .

8 0

3 years ago

If you gave to pay $14,000 and you pay 75% of it how much do you have left to pay?

Mars2501 [29]

So, what you do for this problem is that you multiply $14,000 x 0.75
The answer would be $ 10500. You would need to pay $ 10,500.
Hope this helps!

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3 years ago

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What does this equal?

lukranit [14]

Answer:

87/100

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

numbers to the right of the decimal point, place the decimal number over

(

100

)

. Next, add the whole number to the left of the decimal.

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3 years ago

M/8 = 4 Solve for m m = ?

fomenos

Answer: m = 32

Step-by-step explanation:

32 divided by 8 = 4

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WILL GIVE BRAINEST

Bezzdna [24]

D. exponential growth

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4 years ago