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3 years ago

Is 3√75 less than, greater than, or equal to 7√27

Mathematics

2 answers:

posledela3 years ago

8 0

Greater than (I'm like 80% sure of my answer)

a_sh-v [17]3 years ago

8 0

3 sqrt 75 = 3 sqrt(25 * 3) = 15 sqrt 3
7 sqrt 27 = 7 sqrt (9 * 3) = 21 sqrt 3

so 3 sqrt 75 is less then (<) 7 sqrt 27

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Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest

Ludmilka [50]

Answer:

$6 \times 10^{7}$

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = $10^{7}$

Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes = $6 \times 10^{7}$

4 0

3 years ago

Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x &g

storchak [24]

Hi there! :)

Answer:

x>24

*The answer must have a positive sign and greater than symbol sign.*

Step-by-step explanation:

First, you switch sides.

$x+18>42$

Then, you subtract by 18 from both sides of an equation.

$x+18-18>42-18$

Finally, you subtract by the numbers from left to right.

$42-18=24$

Final answer is x>24

I hope this helps you!

Have a nice day! :)

-Charlie

7 0

2 years ago

A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?

defon

Answer:

Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons

Step-by-step explanation:

4 0

2 years ago

Select the correct answer.

ratelena [41]

Answer:

A. $x(x+12) -7(x+12)$

Step-by-step explanation:

Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

$x^2 +5x - 84$

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

$x^2 +12x - 7x - 84$

Now take out the common factors,

$x(x+12) -7(x+12)$

Thus, the correct option is choice (A).

5 0

2 years ago

Felix wrote several equations and determined that only one of the equations has no solution. Which of these equations has no sol

lara [203]

Answer:

3(x-2)+x=4x+6

Step-by-step explanation:

case 1) we have

3(x-2)+x=4x-6

Solve for x

3x-6+x=4x-6

4x-6=4x-6

0=0 ----> is true for any value of x

therefore

The equation has infinite solutions

case 2) we have

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

3x-6+x=2x-6

4x-2x=-6+6

2x=0

x=0

case 3) we have

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

3x-6+x=3x-3

4x-3x=-3+6

x=3

case 4) we have

3(x-2)+x=4x+6

3x-6+x=4x+6

4x-4x=6+6

0=12 ------> is not true

therefore

The equation has no solution

4 0

2 years ago

Read 2 more answers