<u>Answer-</u>
<em>He purchased a rope of </em><em>48 ft</em><em>.</em>
<u>Solution-</u>
Let us assume the length of the rope he had originally purchased was x ft.
He used one-fourth of the x to make a bow, so the rope he used was
The amount he left with was,
Then he used one-third of the remaining to tie up a roll of carpet, so the rope he used was
Then he left with 24 ft of rope.
∵ The total amount = Amount used + Amount left
Hence,
Therefore, he purchased a rope of 48 ft.
Answer:
-3 < x ≤ 8
Step-by-step explanation:
First, write this statement with symbols:
2x - 5 > -3, but also:
2x - 5 ≤ 11
Adding 5 to both sides of the first inequality yields 2x > 2. pr x > 1.
Adding 5 to both sides of the second inequality results in 2x ≤ 16, or x ≤ 8.
Thus, -3 < x ≤ 8 is the shortest way in which to write the given information.
Answer:
Step-by-step explanation:
Rectangle:
Length : Width = 3 : 5
Length = 3x
Width = 5x
Perimeter = 64
2*(length + width) = 64
2*(3x + 5x) = 64 {Add like terms}
2 * 8x = 64
16x = 64 {Divide both sides by 16}
x = 64/16
x = 4
Length = 3*4 = 12 units
Width = 5*4 = 20 units
Step by Step :
1. 9(2j + 7 + 5j)
2. (9)(2j) + (9)(7) + (9)(5j)
3. 18j + 63 + 45j
Answer: 63j + 63