Answer:
Kindly check explanation 
Step-by-step explanation:
Given the following :
Cost of large candle (a) = 25 each
Cost of small candles (y) = 10 each
Amount needed = $600
Number of each that must be sold to raise needed amount:
25a + 10y = 600.
Here a = number of large candles that must be sold at the price 
y = number of small candles that must be sold at the price
Summing the revenue both should result in the required amount. 
 
        
             
        
        
        
Answer:
 Some of the possible factorizations of the monomial given are:
 
 
Step-by-step explanation:
  To factorize the monomia you need to express it as a product of two or more monomials.  Therefore, you must apply the proccedure shown below:
 - Descompose into prime numbers:
 
 - Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations.  Below are shown some of the possible factorizations of the monomial given:
 
 
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
Jada is making circular invitations
we have d=12 cm, the radius r=6
she needs to find out the circumference
C=2x3.14x r
C=2x 3.14x6=37.68
180/37.68=4.77
she can make just 4 invitations
 
        
             
        
        
        
Answer:
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Step-by-step explanation:
Arc length of a parametric curve is:
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
x = t + cos t, dx/dt = 1 − sin t
y = t − sin t, dy/dt = 1 − cos t
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Or, if you wish to simplify:
L = ∫₀²ᵖⁱ √(1 − 2 sin t + sin²t + 1 − 2 cos t + cos²t) dt
L = ∫₀²ᵖⁱ √(3 − 2 sin t − 2 cos t) dt