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pishuonlain [190]
3 years ago
14

What is the GFC of 36 and 84​

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Answer:

12

Step-by-step explanation:

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Find the smallest positive integer k such that 3240/k is a square number
sashaice [31]

Answer:

10

Step-by-step explanation:

First, factorize the number 3,240:

3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2

So,

3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10

Now consider the fraction

\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}

If k = 10, then

\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

  • k = 1, \dfrac{3,240}{1}=3,240 is not a square number;
  • k = 2, \dfrac{3,240}{2}=1,620 is not a square number;
  • k = 3, \dfrac{3,240}{3}=1,080 is not a square number;
  • k = 4, \dfrac{3,240}{4}=810 is not a square number;
  • k = 5, \dfrac{3,240}{5}=648 is not a square number;
  • k = 6, \dfrac{3,240}{6}=540 is not a square number;
  • k = 7, \dfrac{3,240}{7} is not a square number;
  • k = 8, \dfrac{3,240}{8}=405 is not a square number;
  • k = 9, \dfrac{3,240}{9}=360 is not a square number.
5 0
3 years ago
Help please!! Just need C <br><br>(don't worry about the background shapes)
horrorfan [7]
I think not fpr sure though

8 0
3 years ago
The Morales family is remodeling their home. They want to remove the wall between the living room. and dining room to make one b
GuDViN [60]

Answer:

Area of living room

= 20(x+5)

= 20x +100

Area of dining room= 20x

Total area

= 20x +100 +20x

= 40x +100

Total perimeter (after wall is removed)

= 2(20) + 2( x+x+5)

= 40 + 2(2x+5)

= 40 +4x +10 (expand)

= 4x +50 (simplify)

Step-by-step explanation:

Area of rectangle= length × breadth

3 0
3 years ago
A tip employee’s earnings most closely resemble those of which?
kotegsom [21]
A tip employee's earnings most closely resemble: a. an employee working on straight commission The amount that the employee get in a tip method will be highly depended on the performance and the satisfaction of services that the employees give to the customer. The better the performance, the more tip that employee will get from the customers
3 0
3 years ago
Read 2 more answers
Can someone please. Heck my answer if it’s wrong please answer it correctly and please show work first pic is the question and 2
PIT_PIT [208]

Answer:

Correct

Step-by-step explanation:

4y = 3x Divide each side by 4

4y ÷ 4 = 1y

3x ÷ 4 = 0.75x

12y = 9x Divide each side by 12

12y ÷ 12 = 1y

9x ÷ 12 = 0.75x

We can see in both equations that 1y = 0.75x

(1y = just y) So the constant of proportionality can be written as y = 0.75x

All of your explanations and descriptions are accurate.

8 0
4 years ago
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