Step-by-step explanation:
Let 
x
 be the kg of coffee of brand A in the mix and 
y
 be the kg of coffee of brand B in the mix.
The total kg must be 
50
.
x
+
y
=
50
The cost per kg of the mix must br 
$
7.20
. For this, the total cost of the mix will be 
6
x
+
8
y
, so the total cost per kg of the mix will be 
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by 
6
 to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need 
30
 kg of brand B in our mix. This means that 
50
−
30
=
20
 kg will be of brand A.
 
        
             
        
        
        
Answer: 8.4 inches.
Step-by-step explanation:
 We know that the circumference of a circle can be calculated with this formula:
 
 Where "r" is the radius of the circle.
 We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces. Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake. 
 Therefore, this is (to the nearest tenth of an inch):
 
 
        
                    
             
        
        
        
Answer:
3.89
Step-by-step explanation:
5.42+2.25=7.67
7.67-3.78=3.89
Hope this helps 
 
        
             
        
        
        
<u>Answer:</u>
one solution = 3
<u>Step-by-step explanation:</u>
Let's solve your equation step-by-step.
5x+17=4(3x−1)
Step 1: Simplify both sides of the equation.
5x+17=4(3x−1)
5x+17=(4)(3x)+(4)(−1)(Distribute)
5x+17=12x+−4
5x+17=12x−4
Step 2: Subtract 12x from both sides.
5x+17−12x=12x−4−12x
−7x+17=−4
Step 3: Subtract 17 from both sides.
−7x+17−17=−4−17
−7x=−21
Step 4: Divide both sides by -7
-7x/-7 = -21/-7 = 3
 
        
             
        
        
        
The axis of symetry, or A.o.S, intersects a parabola at its vertex. The answer is x=1