◆ Define the variables:
Let the calorie content of Candy A = a
and the calorie content of Candy B = b
◆ Form the equations:
One bar of candy A and two bars of candy B have 774 calories. Thus:
a + 2b = 774
Two bars of candy A and one bar of candy B contains 786 calories
2a + b = 786
◆ Solve the equations:
From first equation,
a + 2b = 774
=> a = 774 - 2b
Put a in second equation
2×(774-2b) + b = 786
=> 2×774 - 2×2b + b = 786
=> 1548 - 4b + b = 786
=> -3b = 786 - 1548
=> -3b = -762
=> b = -762/(-3) = 254 calorie
◆ Find caloric content:
Caloric content of candy B = 254 calorie
Caloric content of candy A = a = 774 - 2b = 774 - 2×254 = 774 - 508 = 266 calorie
Answer:
7.1 feet^2
Step-by-step explanation:
The base is made of a circular shape, so to solve this question we need to know how to calculate the circle area. The formula for the circle area is π * r^2 so we need to find the radius(r). Radius equal to half of the diameter and the diameter needed is 3 feet, then the area of the circle will be:
area = π * r^2
area = 3.14 * (3/2 feet)^2
area = 7.065 feet^2 = 7.1 feet^2
You should know that
p ⇒ q ≡ ¬p ∨ q
so that
p ⇒ (q ∧ r) ≡ ¬p ∨ (q ∧ r)
Then making the truth table is simple:
Answer:
y= -2
Step-by-step explanation:
