Answer:
Burger meal costs $8 and hot dog meal costs $6.
Step-by-step explanation:
To find the price per meal, write a system of equations.
Let b = cost of a burger meal and d = cost of a hot dog meal.
Write the equation 3b + 4d = 48 for the Woodsons.
Write the equation 6b + 2d = 60 for the Barkers.
Use elimination to solve the system. Begin by making the coefficients of one variable the same in both equations by multiplying 3b + 4d = 48 by 2.
2(3b + 4d = 48) ----> 6b + 8d = 96
Stack the equations and subtract.
6b + 8d = 96
- 6b + 2d = 60
------------------------
6d = 36
d = 6
Substitute d = 6 into one equation to solve for b.
3b + 4(6) = 48
3b + 24 = 48
3b = 24
b = 8
The ratio of their volumes is 6^3 to 3^3 or 216 to 27
The volume of the larger balloon is 216/27 = 8 times the smaller one
Answer:
The equation is:
(2×π×r×4r)+(2×π×r^2)= A
The maximum radius of the can they will produce = 1.7 inches
Step-by-step explanation:
Please see the attached files for explanation
Answer:
(Choice C) C Replace one equation with a multiple of itself
Step-by-step explanation:
Since system A has the equations
-3x + 12y = 15 and 7x - 10y = -2 and,
system B has the equations
-x + 4y = 5 and 7x - 10 y = -2.
To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).
So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)
So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.
So, choice C is the answer.
We replace one equation with a multiple of itself.
