Answer:
x=12
Step-by-step explanation:
since they are supplementary they will have a sum of 180 degrees
The equation should look like this- (5x+4)+(4x+80)=180
after solving the equation- you get x=12
in order to see if that is correct you would plug in 12 where x is in our equation (5x+4)+(4x+80). which does equal 180 when 12 is plugged in
Therefore, 12 is your answer
Answer:
5 dollars
Step-by-step explanation:
Let's call the price of a package of pens n, and the cost of a box of paper r.
3n+r=26
2n+7r=49
Multiply the first equation by 7:
21n+7r=182
Subtract the second equation from the first:
19n=133
Divide both sides by 19 to isolate n:
n=7
Plug this back in to find the value of a box of paper:
3(7)+r=26
21+r=26
r=5
Hope this helps!
Answer:

Step-by-step explanation:
Rewrite the equation as:

Isolating 

Factor:

Dividing both sides by
and multiplying them by 

Integrate both sides:

Evaluate the integrals:

Solving for y:

Evaluating the initial condition:


Converting 60 degrees to radians:

Replacing
in the diferential equation solution:

Step-by-step explanation:
OOOO
BYE