2 years ago

Please Help! Struggling to understand the question ive tried everything

Mathematics

1 answer:

allsm [11]2 years ago

4 0

Answer:

4,16

Step-by-step explanation:

36 buttons = 12×12 square inches

1 button = 12×12÷36=4 square inches

4 buttons=4×4=16square inches

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(5/6)^4x=(36/25)^9-x, please help solve for x, and the 9-x is all superscript

stiks02 [169]

$\frac{36}{25}=\frac{6^2}{5^2}=\left(\frac{6}{5}\right)^2=\left(\frac{5}{6}\right)^{-2}\\\\therefore:\\\\\left(\frac{5}{6}\right)^{4x}=\left[\left(\frac{5}{6}\right)^{-2}\right]^{9-x}\\\\\left(\frac{5}{6}\right)^{4x}=\left(\frac{5}{6}\right)^{-2(9-x)}\iff4x=-2(9-x)\\\\4x=-2\cdot9-2\cdot(-x)\\\\4x=-18+2x\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\2x=-18\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=-9}$

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6 0

2 years ago

Read 2 more answers

Around 2.232 to the nearest hundredth

Korolek [52]

$2.232\approx2.32$