First we define the variables:
x = weight of a large box
y = weight of a small box
We write the system of equations:
x + y = 95
50x + 65y = 5275
The solution to the system of equations by the graphic method is:
x = 60
y = 35
Note: see attached image.
Answer:
each type of box weigh:
weight of a large box = 60 pounds
weight of a small box = 35 pounds
Hi there,
width: 15, length: 30
Also, the max area of the garden is 450 square feet.
Hope this helps,
Master Yoda
Answer:
54kg
Step-by-step explanation:
Body weight = B
Tail weight = T
Head weight = H
Total weight = F
Use equation = B + T + H = F
We are told that T = 9kg, H = T + (1/3) x B, B = H + T
We have 3 equations and 3 unknowns, solve the system of equations to find W.
B = H + 9
H = 9 + 1/3 x (H+9)=9+H/3+3 --> 2/3 x H = 12 --> H = 18
B = 18 + 9 = 27
F = 18 + 27 + 9 = 54kg
The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).
The answer would be six because if you add them up it would equal 56 then divide that by 7 gives you a mean of 8. hope that helps