MATHEMATICS MIDDLE SCHOOL

0.4x+0.5y=2.51.2x-3.5y=2.5




ELIMINATION BY USING MULTIPLICATION

Answers

Answer 1
Answer: \begin{cases} 0.4x+0.5y=2.5\ \ /*7 \n 1.2x-3.5y=2.5\end{cases} \n \n \begin{cases} 2.8x+3.5y=17.5 \n 1.2x-3.5y=2.5\end{cases}\n +\ \ -------- \n4x=20 \ \ /:4\n \nx=5

0.4x+0.5y=2.5\n \n 0.4*5+0.5y=2.5\n \n2+0.5y=2.5\ \ | -2\n \n0.5y=2.5-2\n \n0.5y=0.5 \ \ :/ \ 0.5\n \n y=1 \n \n \begin{cases}\ \x=5 \n y=1 \end{cases}

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You have 80 pieces of fabric to make a wall hanging. Each piece of fabric is a square with a side length of 5 inches. You use as many pieces of fabric as possible to create a square wall hanging.What is the area of the wall hanging?


How many pieces of fabric are left over?

How many more pieces of fabric would you need to increase the size of the wall hanging?

Answers

The square wall hanging made from pieces of fabric will have an area of 1600 square inches. There will be 16 pieces of fabric left over. 1 more piece of fabric is needed to increase the size of the wall hanging.

The first thing to do in this process is to determine how many square pieces of fabric you can use to form a larger square. In order to have a square, you need the same number of pieces on each side, so the number of pieces used must be a perfect square. The largest perfect square less than or equal to 80 is 64 (which is 8^2), so you would use 64 pieces to form the wall hanging.

Therefore, the area of the wall hanging (which is side squared) is therefore 8 pieces x 5 inches x 8 pieces x 5 inches = 1600 square inches.

To find out how many pieces are left over, you subtract the number of pieces used from the total you started with, therefore 80 - 64 = 16 pieces of fabric are left over.

To increase the size of the wall hanging by one row and column (which remains a square), you would need to go up to the next perfect square which is 9^2 = 81, so you need 81 - 80 = 1 more piece of fabric.

Learn more about Area here:

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The are would be 25

and we could make 3 squares. 75

5inches will be left over.

Write a problem that can be solved using a flowchart and working backward. Then draw the flowchart and solve the problem.

Answers

I'm sorry but do you ha e a picture of a flowchart

How many kilograms are equal to 5,000grams?

Answers

5000 grams are equal to 5 kilograms
1 Kg = 1,000 gr.
5 Kg = 5.000gr.  

:)

A cell boat sale has three sides that are all the same links. Each side measure x-10. The sails perimeter is 63 units PLEASE HELP QUICKLY

Answers

Answer:

x=31

Step-by-step explanation:

x-10+x-10+x-10=63 (equation)

3x-30=63 (combine like terms)

3x=93 (combine like terms again)

x=31 (divide both sides by 3)

Jack has a fair coin. He tosses the coin four times. What is the probability that Jack gets heads, then heads, then tails, and then tails?

Answers

As you have a 1/2 chance of getting what you want when you flip the coin, to get heads, heads, tails, tails will be 1/2 x 1/2 x 1/2 x 1/2. Working our way down the line, 1/2 x 1/2 = 1/4, 1/4 x 1/2 = 1/8, and 1/8 x 1/2 = 1/16. Jack will get heads, heads, tails, tails 1/16 of the time.
the answer is 1/16..........

Is 0.02468 greater than 0.024

Answers

use zeroes as place holders
0.02468
0.02400
so clearly 0.02468 is greater than 0.02400
so yes, 0.02468 is greater than 0.024
but remember don't use those extra zeroes in ur actual answer.
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