Answer:
2 m
Step-by-step explanation:
First we need to calculate the actual area of the garden:
Area = 16 * 8 = 128 m2
If the new area is 240 m2 and we call the width of the pathway 'w', we have that:
New area = (16+2w) * (8+2w) = 240
128 + 48w + 4w^2 = 240
4w^2 + 48w - 112 = 0
w^2 + 12w - 28 = 0
Delta = 12^2 + 4*28 = 256
sqrt(Delta) = 16
w1 = (-12-16)/2 = -14 m (not a valid width)
w2 = (-12+16)/2 = 2 m
Simplifying
(x + -16) * 2 = 256
Reorder the terms:
(-16 + x) * 2 = 256
Reorder the terms for easier multiplication:
2(-16 + x) = 256
(-16 * 2 + x * 2) = 256
(-32 + 2x) = 256
Solving
-32 + 2x = 256
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '32' to each side of the equation.
-32 + 32 + 2x = 256 + 32
Combine like terms: -32 + 32 = 0
0 + 2x = 256 + 32
2x = 256 + 32
Combine like terms: 256 + 32 = 288
2x = 288
Divide each side by '2'.
x = 144
Simplifying
x = 144
<span>-2x + 8 + 5x > 2x + 1
3x + 8 > 2x + 1
x > -7
answer
D) - 5</span>
Answer:
Step-by-step explanation:
Given
Required
Determine the probability of the occurrence
First, we need to get the total of the ratio
Next, is to calculate the required probability as follows;
<em>Hence, the required probability is </em>
Answer:
Step-by-step explanation:
Given
Required [Missing piece]:
Least he can give each
To do this, we simply calculate the LCM of 324 and 220.
So, the LCM is:
<em>Hence, the least amount he can give each is: #17820</em>
