Answer:
x = 15.65
y = 3.5
Step-by-step explanation:
Step 1
Find the equation for x and y
Equation for x is given as
x² = 7( 7+28) ..........Equation 1
14(14 + y) = x²........ Equation 2
Solving for Equation 1
x² = 7( 7+28)
x² = 7(35)
x² = 245
x = √245
x = 15.65
From Equation 1 , x² has been determined to be 245
Therefore we substitute 245 for y in Equation 2
14(14 + y) = x²........ Equation 2
14(14 + y) = 245
196 + 14y = 245
14y = 245 - 196
14y = 49
y = 49 ÷ 14
y = 3.5
There are 4 quarts in 1 gallon.
3 x 4 = 12
12 + 2 = 14 quarts
Hope this helps!! :)
The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
Learn more on simultaneous equations here: brainly.com/question/148035
Answer:
It is known that in the periodic inventory, the accounting record of the stock of goods will occur only at the end of a certain period with the physical count of the existing quantities. Consider the following CVM information = 500.00; Initial Inventory = 700.00 and Purchases = 800.00. Applying the concept of periodic inventory and applying the formula for calculating the CMV, determine the value of the final stock.
ALTERNATIVES
Final stock of 2,000.00.
Final stock of 1,500.00.
Final stock of 1,300.00.
Final stock of 1,200.00.
Final stock of 1,000.00.
Final Stock (EF) = 1,000.00
Step-by-step explanation:
Alternative E - Final stock of 1,000.00.
Given That,
CMV = 500,00
Initial Stock (EI) = 700.00
Purchases (C) = 800.00
Final Stock (EF) = ?
Formula
CMV = Initial Stock (EI) + Purchases (C) - Final Stock (EF)
CMV = EI + C - EF
500 = 700 + 800 - EF
500.00 = 700.00 + 800.00 -X
500 = 1500- EF
500.00 = 1,500.00-X
EF = 1500-500
X = 1,000.00
EF = 1,000.00
Therefore, the final stock is 1,000
A is the answer because it costs $295 for the ticket and $271.9 in total if he drives in car. So therefore driving is less expensive.
