Response:
a)12 b)12 c)36
Detailed steps:
a) Identify the least common multiple. The quantity of marbles corresponds to that value multiplied by n (with n representing an integer)
b) The least common multiple is calculated as 4*3=...
c)12*3 =?
Afterward, simply divide by 2, 3, and 4 to find the solution
Response:
The fence's width is 6 feet.
Detailed explanation:
To start, let’s define some variables.
Let the width of the fence be denoted as w, and the length as l.
Next, determine the length: the width is 2 feet less than half of the length.
w = l/2 - 2
Alternatively, l/2 can be expressed as w + 2, leading to l = 2(w + 2).
The total perimeter of the fence is 44 feet. The perimeter for a rectangle can be calculated using the formula:
P = 2(l + w)
Inserting what we know:
P = 44 and l = 2(w + 2)
44 = 2(2(w+2) + w)
44 = 2(2w + 4 + w)
44 = 2(3w + 4)
44 = 6w + 8
6w = 36
w = 36/6
w = 6 feet
Answer: Adiya's approach is incorrect. To construct a perfect square trinomial, one must isolate the constant on one side of the equation. The coefficient of the term with an exponent of 1 regarding the variable is essential to calculate the constant in the perfect square trinomial. The first step for Adiya should be to reposition the 20x term to the same side of the equation as x2. Then, she should divide 20 by 2, square that result, and add 100 to both sides.
