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164 is 184% of what number?

72 is 0.04% of what number?

please include proof


Sagot :

Answer:

[tex]\huge\boxed{89\dfrac{3}{23}\approx 89.13}\\\boxed{180,000}[/tex]

Step-by-step explanation:

[tex]\begin{array}{ccc}164&-&184\%\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\(184)(x)=(164)(100)\qquad|\text{divide both sides by 184}\\\\x=\dfrac{16400}{184}\\\\x=\dfrac{16400:8}{184:8}\\\\x=\dfrac{2050}{23}\\\\x=89\dfrac{3}{23}\approx 89.13[/tex]

[tex]\begin{array}{ccc}72&-&0.04\%\\y&-&100\%\end{array}\qquad|\text{cross multiply}\\\\(0.04)(y)=(72)(100)\qquad|\text{divide both sides by }0.04\\\\y=\dfrac{7200}{0.04}\\\\y=180,000[/tex]

164 is 184% of 89.13