Answer: x = 11
Step-by-step explanation:
You didn't state what you needed for these problems so I'm going to assume you need to solve for X.
1st Equation:
3x - y = 23 --> y = 3x - 23
2nd Equation:
2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3
Set Equations = to Each other
3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23
9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3
7x/3 X 3/7 = 77/3 X 3/7
x = 11
If you need to solve for y as well plug the x value back into the original equation and solve.
Answer: length = 305 feet
Width = 126 feet
Step-by-step explanation:
Let L represent the length of the rectangular field.
Let W represent the width of the rectangular field.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a garden is 88 feet. This means that
2(L + W) = 862
Dividing through by 2, it becomes
L + W = 431 - - - - - - - - - - - -1
The length is 179 feet more than the width. This means that
L = W + 179
Substituting L = W + 179 into equation 1, it becomes
W + 179 + W = 431
2W + 179 = 431
2W = 431 - 179
2W = 252
W = 252/2
W = 126
L = W + 179 = 126 + 179
L = 305
Answer:
$520.28
Step-by-step explanation:
The finance charge is the amount that Emma will pay in order to cover the processing costs of the bedroom set. In this case it would be $520.28. You have first find the down payment cost ($384) and then find how much she needs to pay each month to cover the rest of the cost ($66.34) and multiply it by the 42 months to get $2786.28. Add the down payment onto that and subtract the original cost and you will get your finance charge of $520.28. Hope this helps!
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5. Each side is equal and you need to find what number times itself 3 times gets 125, which in this case is 5. 5x5x5= 125, which means 5 is the correct answer.
