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Pavel [41]
3 years ago
11

The boy : Girl ratio is 4:5. If there are 225 students, how many girls are in the school? answer and proportion answer and propo

rtion breakdown please
Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0
\bf boy:girl\qquad \cfrac{boy}{girl}\qquad 4:5\qquad \cfrac{4}{5}\implies \cfrac{4\cdot \frac{225}{4+5}}{5\cdot \frac{225}{4+5}}\implies \cfrac{4\cdot 25}{\stackrel{girls}{5\cdot 25}}

so, there are 5 * 25 girls.
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Prove that: (12^13–12^12+12^11)(11^9–11^8+11^7) is divisible by 3, 7, 19, and 37. The answer should be like: x^b*3*7*19*37. Also
n200080 [17]

Answer:

Step-by-step explanation:

Given (12^13–12^12+12^11)(11^9–11^8+11^7),

(12^13–12^12+12^11)(11^9–11^8+11^7) =

[(12^12)12 – 12^12 + 12^11][(11^8)11 – 11^8 + 11^7)

[(12^12)(12 – 1) + 12^11][(11^8)(11 – 1) + 11^7] =

(12^12(11) + 12^11)(11^8(10) + 11^7) =

(12^11(12x11) + 12^11)(11^7(11x10) + 11^7) =

[(12^11)(12x11 + 1)][(11^7)(11x10 + 1)] =

[(12^11)x(11^7)](12x11 + 1)(11x10 + 1) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](14763) =

[(12^11)x(11^7)](3x7x19x37)

From here, it is clear that the given number is divisible by 3, 7, 19 and 37.

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Step-by-step explanation:

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Step-by-step explanation:

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