X = 28
1/4+17=x-4
Multiply both sides of the equation by 4
X+68=4z-16
Move variable to the left hand side and change its sign
X-4x+68=-16
X-4x=-16-68
Combine like terms
-3x=-16-68
-3x=-84
Divide both sides by -3
X=28
Answer:
17
Step-by-step explanation:
Let the larger number be represented by x
Let the smaller number be represented by y
from the question, the next equations can be gotten :
x - y = 9 equation 1
x = 1 + 2y equation 2
Substitute for x in equation 1
1 + 2y - y = 9
1 + y = 9
Collect like terms
y = 9 - 1
y = 8
Substitute for y in equation 1 and solve for x (the larger number)
x - 8 = 9
x = 9 + 8
x = 17
Answer:
(2n - 7) - 10
Step-by-step explanation:
(2n - 7) represents "difference of 2 times a number and 7"
- 10 represents "10 less"
1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Given:
The given number is:
To find:
The product of prime factors of given number.
Solution:
We have,
The prime factors of given number are:
<u>2 | 96</u>
<u>2 | 48</u>
<u>2 | 24</u>
<u>2 | 12</u>
<u>2 | 6</u>
<u>3 | 3</u>
| 1
So, 96 can be written as:
Therefore, the 96 as the product of prime factors is .
