ANSWER
The greatest common divisor of 15,015 and 495 is 165.
<u>EXPLANATION</u>
We use the Euclidean Algorithm to compute the Greatest Common Divisor as follows;
The last remainder before zero is the greatest common divisor.
Therefore 
Answer:
70/9
Step-by-step explanation:
Let's solve your equation step-by-step.
4−138=6(1−3x)
Step 1: Simplify both sides of the equation.
4−138=6(1−3x)
4+−138=(6)(1)+(6)(−3x)(Distribute)
4+−138=6+−18x
(4+−138)=−18x+6(Combine Like Terms)
−134=−18x+6
−134=−18x+6
Step 2: Flip the equation.
−18x+6=−134
Step 3: Subtract 6 from both sides.
−18x+6−6=−134−6
−18x=−140
Step 4: Divide both sides by -18.
−18x/-18=−140/-18
x=70/9
Answer:
The sentence you have can be expressed in algebra (using x as 'the number'):
2x + 5 = x / 3. (We add 5 to the left side because that product is less than the right side.)
Now all you have to do is to combine the x terms on one side of equation, putting the constant on the other side of the equation, and solve for x.
or
Let the unknown number that we are solving for be x.
The product of a number and 2 means 2*x
5 less than the quotient of a number and 3 means x/3 - 5.
So,
2*x = x/3 - 5 subtract x/3 from both sides of the equation
2x - x/3 = -5 , now find the least common denominator for the left side of the equation
6x/3 - x/3 = -5
(6x - x)/3 = -5
5x/3 = -5, now multiply both sides of the equation by 3
5x = -15 now divide both sides of the equation by 5
x = - 3. So the number is -3.
Step-by-step explanation:
The square root of 45 is irrational. Why? Well, see below for an explanation!
A rational number includes any number that can be expressed as a whole integer; a fraction, a simple full number, and any form of a full number that isn’t a portion of a number. Because the square root of 45 is equal to more than 6 but less than 7, it is represented by a decimal. That decimal that represents it is 6 whole + a portion of another whole, meaning that the square root is not a perfect square. Imperfect squares, or numbers that can be divided to get only one number (such as 36 = 6 x 6), are irrational. Because 45 cannot be divided by a number to get that same quotient of the number being divided by, it is irrational. If you need any help, let me know and I will gladly assist you.
Answer:
Step-by-step explanation:
Given that there are 3 events as
rolling 3 dice, are the events A: sum divisible by 3 and B: sum divisible 5
The sample space will have
(1,1,1)...(6,6,6)
Sum will start with 3 and end with 18
Sum divisible by 3 are 3,6,9..18
Sum divisible by 5 are 5,10,....15
The common element is 15
Hence these two events are not mutually exclusive.
