Start by defining your variables
let x be the mass of a single mango in gm
let y be the mass of a single orange in gm
now, write the question as a system of equations
3 mango and 2 orange have a mass of 200 gm
3x +2y = 200
4 mango and 4 orange have a mass of 300 gm
4x +4y = 300
now you have a system of equations
3x+2y =200
4x+4y =300
solve for x and y
Answer:
Explanation:
Identity: sec2θ=1+tan2θ
sec2(π2−x)−1=1+tan2(π2−x)−1
=tan2(π2−x)
Identity: tan(π2−θ)=cotθ
=cot2x
Answer:
Please add a attachment.
Step-by-step explanation:
I believe the answer is A
Let’s put these into one fraction each:
Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles
Swimming:
= (5*2)/3 miles
= 10/3 miles
Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4
Now we add all the distances up:
= (15/2) + (10/3) + (9/4)
Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
= (15/2) + (10/3) + (9/4)
= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
= (157/12)
Therefore Aaron Ran 157/12 miles or 13.08 miles.
Hope this helps!
