<h3>
Answer: 42 = 2*3*7</h3>
Explanation:
Here is list of the first few primes = {2, 3, 5, 7, 11}
Divide 42 over the smallest prime 2 and we get
42/2 = 21
This shows that 2 is a factor (since we get a whole number result).
We don't have another factor of 2 because 21/2 = 10.5 isn't a whole number. But 3 is a factor because 21/3 = 7
Ultimately the numbers 2, 3 and 7 are factors of 42. They are the only prime factors and there's only one copy of each.
42 = 2*3*7
Check out the diagram below. It shows two different ways to generate a factor tree for the number 42.
It’s 66 units to 2 because you have to line up the numbers with the dot on the grid
<u>Given</u>:
The sum of 5 consecutive integers is 110.
Let the sequence be x, x + 1, x + 2, x + 3, x + 4
We need to determine the fourth number in the sequence.
<u>Value of x:</u>
Since, the sum of 5 consecutive integers is 110.
Thus, we have;
![x+x+1+x+2+x+3+x+4=110](https://tex.z-dn.net/?f=x%2Bx%2B1%2Bx%2B2%2Bx%2B3%2Bx%2B4%3D110)
Adding the like terms, we have;
![5x+10=110](https://tex.z-dn.net/?f=5x%2B10%3D110)
![5x=100](https://tex.z-dn.net/?f=5x%3D100)
![x=20](https://tex.z-dn.net/?f=x%3D20)
Thus, the value of x is 20.
<u>Fourth term:</u>
The fourth term of the sequence is x + 3
Substituting x = 20 in the term, we get;
Fourth term = 20 + 3 = 23
Thus, the fourth term of the sequence is 23.
52/1 = 182/x
52x=182
X= 182/52
Answer:
18.03
Step-by-step explanation:
So first David went 200m west. I drew a line that went to the west. Next he went 125m north. I drew a line that went north. The question is asking you how far away he is from his starting point. I drew a triangle and connected those two points from where he began. So to find the length or missing side, you need to use an equation known as the pathaegorean theorem. A²+ B²+ C². 125+200 is 325. The square root of 325 is 18.0277. However, they ask us to round to the nearest hundredth. So that number would you round to 18.03 ( since the seven makes the two go up).