Answer:
Option (D)
Step-by-step explanation:
Given equation is,
Taking natural log on both the sides of the equation,
3ln(2) + (2x + 1)[ln(e)] = 2ln(2)
2n(2) - 3ln(2) = (2x + 1)
2x = -ln(2) - 1
[Since, -ln(2) = ln(1) - ln(2) = 
]
Therefore, Option (D) will be the correct option.
Answer: 800
Step-by-step explanation:
Given: The total number of seats in the stadium : 
The fraction of tickets of seats sold : 
To find the number of tickets it sold , we need to multiply the fraction of tickets of seats sold to the total number of seats in the stadium , we get
The number of tickets of seats sold : 
Hence, the number of tickets of seats sold : 800
Answer:
The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Step-by-step explanation:
Let the cost of 1 pound of meat be x
Let the cost of 1 pound of cheese be y
Cost of 4 pounds of meat = 4x
Cost of 5 pounds of cheese = 5y
Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.
So, equation becomes :
Cost of 11 pounds of meat = 11x
Cost of 14 pounds of cheese = 14y
Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.
So, equation becomes :
Thus the system of equations are :
-1 (Red line)
-2 (Black line)
Solving these equations graphically we get the solution
x = $4.5
y = $2.5
Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Answer:
x = 5, 15 y = 30
Step-by-step explanation:
y=3x is the rule, thus you can use it to find all values.
15 = 3x Divide 15 by 3 in order to isolate the variable
5 = x
y = 3(10) Multiply 3 by 10 in order to find y
y = 30
45 = 3x Divide 45 by 3 in order to isolate the variable
15 = x
For full circle area is π * R² [here R = radius],
for a sector of circle with angle β, area will be = (β/2) * R², β is in radian,
here let β = 22.5° = (π * 22.5/180) = π/8 radian,
now [(π/8)/2] * R² = 9π, [π/16] * R² = 9π
R² = 9 * 16 = 144,
R = √144 = 12 m
