Solution:
Given,
Volume of the-
First cube box=1728 in³
Second cube box=13824in³
We know that volume of cube =a³
So for the first box
a³= 1728 in³
a= 12 in
Now, surface area of the first box
6a²= 6×(12)²
= 864 in²
and for the second box
b³= 13824 in³
b= 24 in
Now, the surface area of the second box
6b²= 6×(24)²
= 3456 in²
Now, the ratio of the surface area of first box to the second box will be
864:3456
=1:4
The surface area of the larger of two boxes is
3456 in²
12h + 30w represents the amount paid to each employee.....where h is the number of hrs and w is the number of wagons sold.
working 6 hrs and selling 3 wagons.....so h = 6 and w = 3
12h + 30w = total pay
12(6) + 30(3) =
72 + 90 =
162 = total pay <===
This image should help with that.
Answer:
x = -1
, y = 1
Step-by-step explanation:
Solve the following system:
{5 x + 3 y = -2 | (equation 1)
3 x + 2 y = -1 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{5 x + 3 y = -2 | (equation 1)
0 x+y/5 = 1/5 | (equation 2)
Multiply equation 2 by 5:
{5 x + 3 y = -2 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = -5 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -1 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = -1
, y = 1
