If the store decreases its prices by 20%, then ur actually paying 80%
0.80(120) <=== ur expression
lets check..
0.80(120) = 96
120 - 0.2(120) = 120 - 24 = 96 (yep, it matches)
Answer: 32
Step-by-step explanation:
Given: The energy needed for 1 hour of running for an adult 
Therefore. the energy needed for seven hours of running=
Since, he energy released by metabolism of 1 average candy bar 
Therefore, the number of candy bars an adult need to eat to supply the energy needed for seven hours of running.=
Hence, the adult need to eat 32 candies to supply the energy needed for seven hours of running.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I believe that you want to know the number of rides that Katie can take.
Based on the information in the question, we can form an equation. Let the number of rides that Katie can take be represented by x. Therefore,
12 + (1.25 × x) = 50
12 + 1.25x = 50
1.25x = 50 - 12
1.25x = 38
x = 38/1.25
x = 30.4
Therefore, Katie can take at most 30 rides.
Sin^2x (sec^2x + csc^2x) = sec^2x
I would convert the functions in the parentheses to their reciprocals.
sin^2x (1/cos^2x + 1/sin^2x) = sec^2x
Now distribute the sine.
sin^2x/cos^2x + sin^2x/sin^2x = sec^2x
Remember that sine divided by cosine is always tangent.
tan^2x + sin^2x/sin^2x = sec^2x
The remaining fraction is simply 1.
tan^2x + 1 = sec^2x
Use the Pythagorean identity to add the left side.
sec^2x = sec^2x
Q.E.D.
