Please help me with this!

Mathematics

2 answers:

dezoksy [38]3 years ago

8 0

Answer:

x = 27

Step-by-step explanation:

Use the ratio and proportion:

10 = 14

x + 8 2x - 5

just X multiply:

14 ( x + 8 ) = 10 ( 2x - 5 )

-6x = -162

x = -162 / -6

x = 27

iragen [17]3 years ago

3 0

10/14 = x+8/ 2x-5, so 10*2x-5= 14*x+8(cross multiplication)
So 20x-50= 14x+112(simplification), so subtract 14x: 6x-50=112, then add 50 to both sides: 6x=162, divide by 6: x=27

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$5^{x-2}-7^{x-3}=7^{x-5}+11\cdot 5^{x-4}\\\\5^{x-2}-11\cdot 5^{x-4}=7^{x-3}+7^{x-5}\\\\5^{x-2}(1-11\cdot 5^{-2})=7^{x-3}(1+7^{-2})\\\\5^{x-2}\dfrac{14}{25}=7^{x-3}\dfrac{50}{49}\\\\1=\dfrac{2\cdot 7^{x-3}5^4}{2\cdot 5^{x-2}7^3}=\left(\dfrac{7}{5}\right)^{x-6}\\\\0=(x-6)\log(1.4)\\\\x=6$