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Svetlanka [38]
3 years ago
12

15 divided by 6 2/3=

Mathematics
2 answers:
Zigmanuir [339]3 years ago
4 0
2.25 is your answer by the way.
SCORPION-xisa [38]3 years ago
3 0
15 divided by 6 2/3 is 2 1/4
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10. Find the value of x in the equation 2(x - 3) + 5x = 5(2x + 6).
RoseWind [281]

Option A

<u>Answer: </u>

The value of x in the equation 2(x - 3) + 5x = 5(2x + 6) is -12

<u>Solution: </u>

From question given that

2(x - 3) + 5x = 5(2x + 6)

Open the brackets,

2x – 6 + 5x = 10x + 30

Rewrite the above equation,

2x + 5x – 6 = 10x + 30

On simplifying the above equation, we get

7x – 6 = 10x + 30

Now adding 6 on both sides,

7x – 6 + 6 =10x + 30 + 6

7x = 10x + 36

On subtracting 10x on both sides,

7x - 10x = 10x + 36 - 10x

-3x = 36

On dividing -3 on both sides,

x = -12

Hence on simplifying 2(x - 3) + 5x = 5(2x + 6) we get value of x is -12. Hence Option (A) is correct.

7 0
3 years ago
A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the
Ne4ueva [31]

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

<h3>What is the rule of product in combinatorics?</h3>

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in p \times q ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

  • The password needs to be 4 characters long
  • It must have 3 letters and 1 of 10 special characters.
  • Repetition is allowed.

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

26 \times 26 \times 26 \times 10 = 175760 ways.

Now, the password may look like one of those:

  1. L, L, L, S
  2. L, L, S, L
  3. L, S, L, L
  4. S, L, L, L

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

175760 \times 4 = 703040

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

Learn more about rule of product here:

brainly.com/question/2763785

5 0
1 year ago
Find the center of the circle whose equation is x² + y² = 4.
Varvara68 [4.7K]

Answer:

The center of circle is (0,0)

Step-by-step explanation:

We need to find the center of the circle of the equation x^{2}+y^{2}=4

Since, the general equation of circle is (x-h)^{2}+(y-k)^{2} = r^{2}

Where (h,k) is center of circle and r is radius.

Re-write the circle equation is x^{2}+y^{2}=4 as,

x^{2}+y^{2}=2^{2}

Compare x^{2}+y^{2}=2^{2} with (x-h)^{2}+(y-k)^{2} = r^{2}

so, (x-0)^{2}+(y-0)^{2} = 2^{2}

Hence, the center of circle is (0,0)

4 0
2 years ago
Read 2 more answers
What is the y intercept if y=3/4x+2
Furkat [3]
It is in y intercept form
y = mx + b
where b is the y intercept

y = 3/4 x + 2
so b = 2

therefore the y intercept is 2
3 0
3 years ago
2. what is the value of x? Show your work
Mademuasel [1]

Write a full questions to understand. You have wrote half questions only

7 0
1 year ago
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