Answer:
1050 g < weight ≤ 1150 g
Step-by-step explanation:
Let w represent the weight of the package in grams. The the number of 100-gram increments after the first 250 grams is given by ...
⌈(w-250)/100⌉ . . . . . . . where ⌈ ⌉ signifies the <em>ceiling</em> function
and the charges for a package exceeding 250 grams will be ...
0.65 + 0.10⌈(w -250)/100⌉ = 1.55
0.10⌈(w -250)/100⌉ = 0.90 . . . . . . . . subtract 0.65
⌈(w -250)/100⌉ = 9 . . . . . . . . . . . . . . . divide by 0.10
8 < (w-250)/100 ≤ 9 . . . . . . . . . . . . . . meaning of ceiling function
800 < w -250 ≤ 900 . . . . . . . . . . . . . multiply by 100
1050 < w ≤ 1150 . . . . . . . . . . . . . . . . . add 250
The weight in grams could be greater than 1050 and at most 1150 for a charge of $1.55.
Answer:
Simplifying
2x + -15 + x + -5 = 148
Reorder the terms:
-15 + -5 + 2x + x = 148
Combine like terms: -15 + -5 = -20
-20 + 2x + x = 148
Combine like terms: 2x + x = 3x
-20 + 3x = 148
Solving
-20 + 3x = 148
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 3x = 148 + 20
Combine like terms: -20 + 20 = 0
0 + 3x = 148 + 20
3x = 148 + 20
Combine like terms: 148 + 20 = 168
3x = 168
Divide each side by '3'.
x = 56
Simplifying
x = 56
We know that the width of the garden is = 
feet = 6.75 feet
and Perimeter of the garden is = 37.5 feet
Also, we know that for a rectangular space perimeter = 2 * (l + w)
⇒ 37.5 = 2 * (l + 6.75)
⇒ 37.5 = 13.5 + 2*l
⇒ 24 = 2*l
⇒ l = 12 feet
Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden
Area = l * w
⇒ Area = 12 * 6.75
⇒ Area = 81 square feet
Hence, they require 81 square feet of mulch
Answer:
50
Step-by-step explanation:
180-(x+80) + 180-(2x+20) = 180 -70
180-x-80 + 180-2x-20 = 110
100-x + 160-2x = 110
260 - 3x = 110
-3x = -150
x = <u>50</u>
Didn’t have the colors but i labeled what should be what color.
