Answer:
Discount = Original Price x Discount %/100
Discount = 2.88 × 1/100
Discount = 2.88 x 0.01
You save = $0.03
Final Price = Original Price - Discount
Final Price = 2.88 - 0.0288
Final Price = $2.85
Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.
<h3>What is the Distance Formula?</h3>
Distance formula is given as: 
.
Name the coordinates of the plot of and as follows:
A (0, 120)
B (140, 100)
C (140, 20)
D (0, 0)
Perimeter of the plot of land = AB + BC + CD + AD
AD = |120 - 0| = 120 ft
BC = |100 - 20| = 80 ft
Use the distance formula to find AB and CD:
AB = √[(140−0)² + (100−120)²]
AB = √20000
AB = 141.4 ft
CD = √[(140−0)² + (20−0)²]
CD= √20000
CD = 141.4 ft
Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.
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Answer:
x=2
Step-by-step explanation:
28−(3x+4)=2(x+6)+x
We need to use the distributive property for the right side.
28−3x−4=(2)(x)+(2)(6)+x)
28−3x−4=2x+2+x
−3x+24=3x+12
From here we need to subtract 3x from both side.
−3x+24−3x=3x+12−3x
6x+24=12
Transfer +24 on the right side.
6x=12−24
6x=−12
Finally, divide both sides by −6
6x/-6 = -12/-6
x=2
The value of the expression [(114−34)⋅(−23)3]÷(−4) is equal to the fraction 5451/4 or the mixed fraction 1362 whole number, 3/4.
<h3>Evaluation for the expression considering PEDMAS</h3>
P – Parenthesis First: B – Brackets First
E – Exponents
D – Division
M – Multiplication
A – Addition
S – Subtraction
We evaluate the expression [(114−34)⋅(−23)3]÷(−4) as follows;
114 - 34 = 79
-23 × 3 = -69
so;
[(114−34)⋅(−23)3] = 79 × −69
[(114−34)⋅(−23)3] = −5451
[(114−34)⋅(−23)3]÷(−4) = −5451/−4
divide through by the common factor −1
[(114−34)⋅(−23)3]÷(−4) = 5451/4
Therefore, the simplified value for the expression [(114−34)⋅(−23)3]÷(−4) is the fraction 5451/4 or the mixed fraction 1362 whole number, 3/4
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