290 divided by 10(value of a dime)= 29
answer is 29 dimes
        
                    
             
        
        
        
Let
x--------> the number of sessions
y-------> the total payment
we know that
without membership:
 --------> equation
 --------> equation 
with membership:
 --------> equation
 --------> equation 
using a graph tool------> resolve the system of equations
see the attached figure
the solution is the point 
that means
For 
the cost is  in both forms
 in both forms
so
to justify buying the membership

therefore
<u>the answer is</u>

 
        
                    
             
        
        
        
The sum of two vectors is (- 0.5, 10.1)
<u>Explanation:
</u>
To add two vectors, add the corresponding components.
Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.
Then, the sum of u and v is the vector
u +v =⟨u1+v1, u2+v2⟩
(b)
Two vectors = ( 3, 4 )
angle 2π/3 = 120°
In x axis, the vector is = 7 cos 120°
                            
In y axis, the vector is = 7 sin 120°
                                   = 7 X 0.866
                                   = 6.062
The second vectors are ( -3.5, 6.062)
Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]
                               = (- 0.5, 10.1)
 
        
             
        
        
        
Answer: $48
Step-by-step explanation:
From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.
Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:
x + (6% of x) = $50.88
x + (6/100 × x) = $50.88
x + (0.06 × x) = $50.88
x + 0.06x = $50.88
1.06x = $50.88
When then divide by the coefficient of x
1.06x/1.06 = #50.88/1.06
x = $48
The price before the tax is $48