Answer:
64 bags
Step-by-step explanation:
number of bags sold by Takis Scorpion BBQ = x
Number of bags sold by Takis Valcano Quesco = 3x - 6
the total number of bags = x + ( 3x - 6 )
x + 3x - 6 = 250
therefore, 4x - 6 = 250
4x = 250 + 6
4x = 256
dividing through by 4
x = 64
Answer:
Daniel sold 54 and Jack sold 42
Step-by-step explanation:
D = number of tickets that Daniel sold
J = number of tickets that Jack sold
D + J = 96
D = 12+ J
Substitute the second equation into the first equation
12 + J + J = 96
Combine like terms
12 + 2J = 96
Subtract 12 from each side
2J = 84
Divide by 2
J = 42
D = J+12
D = 54
Daniel sold 54 and Jack sold 42
Answer:
-0.6 cm/min
Step-by-step explanation:
The formula for the area of a triangle is ...
A = (1/2)bh
Solving for the base, we find ...
b = 2A/h
Then the rate of change of the base is ...
b' = 2(A'h -Ah')/h^2
Filling in the given values, we find the rate of change of the base to be ...
b' = 2((2 cm^2/min)(20 cm) -(160 cm^2)(1 cm/min))/(20 cm)^2
= 2(40-160)/400 cm/min
= -0.6 cm/min
The base is decreasing at 0.6 cm/minute.
