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LiRa [457]
3 years ago
6

Distributive property of 36+ 9y

Mathematics
2 answers:
vaieri [72.5K]3 years ago
6 0
Find the greatest common factor (GCF)
in this case it would be 9

divide each term by the GCF
36 / 9 = 4
9y / 9 = y

put the two "new" terms in parenthesis and the GCF in front of it
9 (4 + y)
it could also be 9 (y + 4) because of Commutative Property of Addition
lions [1.4K]3 years ago
5 0
This problem in the distributive form would be 9(4+y) because the greatest common factor, or GCF, is 9. When you divide 36 by 9 you get 4 and 9 divided by 9 is one, therefore leaving the y.
To conclude the answer would be 9(4+y).
I hope this helped! :-)
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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The
Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\

\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft

\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft

3 0
3 years ago
A pair of dice is rolled. List the elements of sample space S. Let A denote the event “the sum is less than 5” and B the event “
Marina86 [1]
I don't know that answer
5 0
3 years ago
a sum of money is divided among two friends in the ratio 4:11 if the smaller amount is $420, determine the larger amount?​
bixtya [17]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
How do I evaluate this? there’s a picture.
PilotLPTM [1.2K]

Answer:

it is 3/3

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7 0
3 years ago
A farmer is dividing 128 eggs into 5 crates , how many eggs will go into each crate?
GaryK [48]
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8 0
3 years ago
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