6)
80+160+100+8x+8+5x+10=540
13x + 358 = 540
13x = 540 -358
13x = 182
x = 182/13
x = 14
answer x =14
7)
7x+13=8x-8
8x-7x=13+8
x = 21
answer x = 21
Answer:
y = 6.5 units
Step-by-step explanation:
Let L be the length of sides of the square.
Given the following data;
Perimeter of square = 8y - 12
Area of square = 100 square units
To find the value of y;
Area of a square = L²
Substituting into the formula, we have;
100 = L²
L = √100
L = 10 units
Mathematically, the perimeter of a square is given by the formula;
Perimeter of a square = 4L
Substituting into the formula, we have;
8y - 12 = 4*10
8y - 12 = 40
8y = 40 + 12
8y = 52
y = 52/8
y = 6.5 units
Answer:
3 x - 2 y = 8
y = 3/2 x - 4 rearranging
y = m x + b standard equation for line
m' = - 2/3 for perpendicular line m m' = -1
y = - 2/3 x + b
b = y + 2/3 x = 2 + 2/3 * -3 = 0 substituting given values
y = 2/3 x required line
P.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Helvetica Neue'; color: #454545}
p.p2 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Helvetica Neue'; color: #454545; min-height: 14.0px}
Simplifying
3x + 7y = 28
Solving
3x + 7y = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7y' to each side of the equation.
3x + 7y + -7y = 28 + -7y
Combine like terms: 7y + -7y = 0
3x + 0 = 28 + -7y
3x = 28 + -7y
Divide each side by '3'.
x = 9.333333333 + -2.333333333y
Simplifying
x = 9.333333333 + -2.333333333y
$8 x 3 = $24
$15 + $24 = $39
The landscaping service costs $39
$10 x 3 = $30
Mary's neighbour costs $30
She should choose her neighbour because she is cheaper.
Hope I helped!