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DIA [1.3K]
3 years ago
9

Students in an art class cut colored paper into equal-sized squares. The paper measures 6 cm by 12 cm and they do not want to wa

ste any of it. What is the greatest possible side length for each square piece?
Mathematics
1 answer:
solmaris [256]3 years ago
7 0
The greatest possible side length is 24 square piece
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Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.​
mart [117]

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

  • We are dealing with consecutive integers; these are integers with a difference of 1 between them.

   let the first number = x

               second number  = x + 1

  • one - fifth of first;

             \frac{1}{5}x

  •   one - ninth of the second;

            \frac{1}{9}(x + 1)

for the "less" ;

         \frac{1}{5}x -  \frac{1}{9}(x + 1) = 3

Multiply through by 45

       45(\frac{1}{5}x) - (45) \frac{1}{9}(x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

4 0
3 years ago
Y= sqrt(8 x^3 as it reaches the point (2, 4, the y-coordinate is increasing at a rate of 5 cm/s. how fast is the x-coordinate of
AysviL [449]
Y = √8x³

dy/dt = 2√2 *  3/2 * √x * dx/dt
⇒ 5 = 2√2 * 3/2 * √2 * dx/dt
⇒ 5 = 6 dx/dt
⇒dx/dt = 5/6 cm/s

x coordinate is changing at 5/6 cm/s

Hope it helps!
6 0
3 years ago
I need help with someone explaining how to find the range of this! This course didn’t explain anything!
zaharov [31]

Answer:

(-infinity,3), D

Step-by-step explanation:

3 if x is greater than or equal to 1 is nothing. That leaves us with h(x)=2x+1 if x<1. If you substitute in 1 for x, you get 3, but of course that isn't possible, so the range is (-infinity,3), which is D.

4 0
3 years ago
Change 3/8 in to decimal show working​
mixas84 [53]

Answer:

0.375

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

3/8 = 0.375

7 0
2 years ago
What is the approximate number of hours in 72 days on Saturn
Anon25 [30]
A planet's day is the time it takes the planet to rotate or spin once on its axis. Saturn rotates faster than Earth so a day on Saturn is shorter than a day on Earth. A day on Saturn is 10.656<span> hours long while a day on Earth is </span>23.934<span> hours long.</span><span />
3 0
3 years ago
Read 2 more answers
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