Answer: length = 28 meters
Width = 15 meters
Step-by-step explanation:
Let L represent the length of the rectangular garden.
Let W represent the width of the rectangular garden.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The rectangular garden is enclosed with eighty-six meters of fencing. This means that
2(L + W) = 86
Dividing through by 2, it becomes
L + W = 43- - - - - - - - - - - -1
The garden is thirteen meters longer than it is wide.. This means that
L = W + 13
Substituting L = W + 13 into equation 1, it becomes
W + 13 + W = 43
2W + 13 = 44
2W = 43 - 13
2W = 30
W = 30/2
W = 15
L = W + 13 = 15 + 13
L = 28
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To do this problem hand, you have to start by changing the mixed number into an improper fraction. A handy trick for that is to:
1) Multiply the denominator of the fraction part, 4, by the whole number, 4. So 4*4=16.
2) Add the number in the numerator to the value from step one. So 16+3=19.
3) Put the value from step two over the denominator to get your improper fraction! 19/4
Now you need to multiply to get a common denominator in both values in order to subtract. You have 19/4 - 1/3. This is when you could use a calculator if allowed haha, or multiply 19/4 by 3/3 and 1/3 by 4/4 to get 57/12 - 4/12. Subtract to get 53/12.
Now just do simple division and put the remainer over 12 and simplify the fraction if needed! 53/12 = 4R5. So 4 5/12 is the answer :)
Answer:
6, 26
Step-by-step explanation:
because x is 6 so itll be -3(6)=-8
-3 times 8 is -26
y=-26
Answer:
A. -5 - 3x > 10
Step-by-step explanation:
x = -6
A. -5 - 3(-6) > 10
-5 + 18 = 13 > 10
true
B. -3 - 5(-6) < -14
-3 + 30 = 27 < -14
false
C. 1 - 2(-6) > 13
1 + 12 = 13 > 13
false
D. 2 - (-6) <-3
2 + 6 = 8 < -3
false
