Answer:
![w](https://tex.z-dn.net/?f=w%3C23)
Step-by-step explanation:
Let l be the length and w be the width of the rectangle
Given:
The length of the rectangle is 4 meters more than the width.
The length of the rectangle is
The perimeter of the rectangle should be less than 100 meters.
The perimeter of the rectangle is
and it is less than 100 m.
So, the equation is.
![2(l+w)](https://tex.z-dn.net/?f=2%28l%2Bw%29%3C100)
Put length of the rectangle in above equation.
![2((4+w)+w)](https://tex.z-dn.net/?f=2%28%284%2Bw%29%2Bw%29%3C100)
![2(4+2w)](https://tex.z-dn.net/?f=2%284%2B2w%29%3C100)
![8+4w](https://tex.z-dn.net/?f=8%2B4w%3C100)
![4w](https://tex.z-dn.net/?f=4w%3C100-8)
![4w](https://tex.z-dn.net/?f=4w%3C92)
![w](https://tex.z-dn.net/?f=w%3C%5Cfrac%7B92%7D%7B4%7D)
![w](https://tex.z-dn.net/?f=w%3C23)
Therefore, the inequality expresses all of the possible widths is ![w](https://tex.z-dn.net/?f=w%3C23)
Answer:
7 . 4 + 6 - 12 : 4 = 31
Step-by-step explanation:
* To solve this problem lets revise the order of operations in
mathematics
- The operations are:
# Addition
# Subtraction
# Multiplication
# Division
# Exponentiation
# Grouping ⇒ Parenthesis or brackets
- The order of these operations is:
# Parenthesis
# Exponents
# Multiplication and Division which comes first from left to right
# Addition and Subtraction which comes first from left to right
- There is a word made from the first letter of each operation
PEMDAS to remember the order of operations
* Lets solve the problem
∵ 7 . 4 + 6 - 12 : 4
∵ The (.) means multiply the numbers
∵ The symbol (:) means divided the numbers
∴ At first multiply 7 by 4 and divide 12 by 4
∴ (7 × 4) + 6 - (12 ÷ 4)
∴ 28 + 6 - 3
∵ Addition comes before subtraction from the left
∴ (28 + 6) - 3
∴ 34 - 3 = 31
∴ 7 . 4 + 6 - 12 : 4 = 31
Volume of the bead = Volume of the sphere - volume of the cylindrical hole = 242.95 mm³.
<h3>What is the Volume of a Sphere and a Cylinder?</h3>
- Volume of a sphere = 4/3πr³
- Volume of a cylinder = πr²h
Volume of the bead = Volume of the sphere - volume of the cylindrical hole
= 4/3π(4³) - π(1²)(8)
= 268.08 - 25.13
Volume of the bead = 242.95 mm³
Learn more about volume of sphere on:
brainly.com/question/22807400
Answer:
x = 14
Step-by-step explanation:
This problem requires and understanding about interior sum of angles.
This is an irregular hexagon. so Total angle sum = 180*(6 - 2) = 720 degrees.
...
80 + 56 + 61 + 43 + 92 + 2x = 360
332 + 2x = 360
2x = 360 - 332
2x = 28
x = 14
or... 6*180 - (332 + 2x) = 720
748 - 2x = 720... x= 14
Answer:
C. 85
Step-by-step explanation:
The question is asking how many stickers Bill had to start with, before he had sold anything. Since Bill sold 36 stickers and 23 stickers over the next two days, we must add them together, giving us 59 stickers. After the two days of selling 59 stickers total, Bill had 26 stickers remaining, so we must add them together to get what he started with, leaving us with 85 stickers as the answer.