Peter is trying to buy fencing for the perimeter of his garden. His garden is in the shape of a rectangle with a length of 2(x+6)feet and a width of 3.5x feet. How many feet of fencing will he need to buy? Write and simplify an expression to represent this situation? What properties did you use?

6x+3>3x+30

The thing about solving inequalities, you just need to treat the symbol, which is the less than symbol in this case, as an equal sign.

So our problem becomes: 6x+3=3x+30

Now we solve this like a normal algebra problem.

First, get all the variables on one side. Since 3x is smaller than 6x, we'll get rid of that by subtracting it from each side.

3x+3=30 is what we end up with.

Now to get the variable alone and get rid of that constant. To do that, we are going to subtract 3 from each side.

We end up with 3x=27

Now, to get the 'x' alone, we need to divide each side by 3.

x=9 is what we end up.

BUT WE FORGOT TO DO SOMETHING

We started this as an inequality problem, so we need to end it as an inequality solution.

Since there wasn't any negatives we need to worry about (Which is something else entirely) we just need to transfer the symbol we started with down.

x>9

Any Questions?

The quotient is 56, and there is a remainder of 2.

The quotient of 1,458 divided by 26 is 56. In long division, you would set up the problem as follows:

        56

     __________

26 | 1,458

You start by asking how many times 26 can fit into 145 (the first two digits of 1,458). The answer is 5 (5 times 26 equals 130).

You write the 5 above the line and subtract 130 from 145, leaving you with 15.

Then, you bring down the next digit, which is 8, making it 158. You repeat the process, finding that 26 goes into 158 six times (6 times 26 equals 156).

Write the 6 above the line, and you're left with a remainder of 2. So, the quotient is 56, and there is a remainder of 2.

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1458/26 = 56.0769230769

Hope this helps! <3

Answer: Each book weighs 2.5 pounds.

Step-by-step explanation: 75 divided by 2.5 is 30.  Or you could also get the answer by multiplying 30 and 2.5 which it would be 75. So, therefor, the answer is 2.5.

Final answer:

To find the weight of each textbook, we divide the total weight by the number of books. Therefore, each book weighs 2.5 lb.

Explanation:

If thirty copies of a textbook weigh a total of 75 lb, to find the weight of each individual book, we need divide the total weight by the number of books.

Here is a step-by-step explanation of the solution:

1. Determine the total weight of the textbooks, which is 75 lb.
2. Determine the number of books, which is 30.
3. Divide the total weight by the number of books. So, 75 lb ÷ 30 = 2.5 lb.

Therefore, each book weighs 2.5 lb.

Learn more about Weight of textbooks here:

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Answer:

6 tons

Step-by-step explanation:

we need to find what 1/7th of 42 is

so

42/7=6

so 6 tons are above water

hope this helps!

Answer:

8/81

Step-by-step explanation:

Answer:

Area of the frame not covered with photo is equal to 129 square inches

Step-by-step explanation:

Given: Image of a frame

To find: Area of the frame not covered by the picture

Solution:

Area of rectangle = length of the rectangle × breadth of rectangle

Area of the frame = length of frame × breadth of frame = 23 × 15 = 345 square inches

Area of the frame covered with photo = 18 × 12 = 216 square inches

Area of the frame not covered with photo = Area of the frame - Area of the frame covered with photo = 345 - 216 = 129 square inches