Answer:
each pair of socks cost $2.49
Step-by-step explanation:
Eric spent $22.00, including sales tax on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. How much did each pair of socks cost?
Solution:
The total money spent was $22.00. 2 jerseys costing $6.75 each was bought, the total tax was $1.03. 3 pairs of socks was bought, Let S represent the cost for each pair of socks. The total money spent is the sum of the money spent on jersey, socks and tax. Hence:
2(6.75) + 3S + 1.03 = 22
13.5 + 3S + 1.03 = 22
14.53 + 3S = 22
3S = 22 - 14.53
3S = 7.47
S = 2.49
Hence each pair of socks cost $2.49
Substract 2/3 from each side.
X= 2/3, assuming that you are solving for X.
Answer:
Step-by-step explanation:
x= 5y+10
x+y=4
Answer:
Side of 40 and height of 20
Step-by-step explanation:
Let s be the side of the square base and h be the height of the box. Since the box volume is restricted to 32000 cubic centimeters we have the following equation:
Assume that we cannot change the thickness, we can minimize the weight by minimizing the surface area of the tank
Base area with open top
Side area 4hs
Total surface area
We can substitute
To find the minimum of this function, we can take the first derivative, and set it to 0
Answer:
Step-by-step explanation:
We have the expression:
The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:
Now we can directly add the terms to get:
We can't simplify this anymore