Solve the equation, help please
Answers
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Explanation:
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16⁽ˣ⁻⁴⁾ = 64⁽³*ˣ⁾ ;
=(4²)⁽ˣ⁻⁴⁾ = (4³)⁽³*ˣ⁾
→ 4^ [2(x-4)] = 4^ [ 3(3x) ] ;
→ 4^ (2x - 8) = 4^ (9x) ;
→ 2x - 8 = 9x ;
Subtract "2x" from each side of the equation:
→ 2x - 8 - 2x = 9x - 2x ;
→ -8 = 7x ;
→ 7x = -8 ;
Divide EACH SIDE of the equation by "7" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 7x / 7 = -8 / 7 ;
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→ x = - 8/7 ; which is: Answer choice: [C]: " -
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A) 1 hamburger per minute
B) 1.5 hamburgers per minute
C) 2 hamburgers per minute
D) 10 hamburgers per minute
Answers
Justin's eating rate is 1.5 hamburgers per minute. The correct option is C.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Justin is training for a hamburger-eating competition. He is eventually able to eat 15 hamburgers in 10 minutes.
Justin's eating rate will be calculated as,
Number of Hamburgers eaten by Justin in 10 minutes = 15
The number of hamburgers eaten by Justin in 1 minute,
ER = 15/10
ER = 1.5
Therefore, the eating rate is 1.5 hamburgers per minute. The correct option is C.
To know more about an expression follow
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Number of Hamburgers eaten by Justin in 10 minutes = 15
Then
The number of hamburgers eaten by Justin in 1 minute = 15/10
= 1.5
So option "B" is the correct option among all the options given in the question. It can seen from the deduction that Justin can eat 1.5 hamburgers in 1 minute. I hope the procedure is clear enough for you to understand.