Answer:
Step-by-step explanation:
<u>Let the numbers are:</u>
- x, x + 1, x + 2, x + 3 and x + 4
- Their sum is 5x + 10
- Their mean is (5x + 10)/2 = x + 2
If we swap the digits on the largest number, the sum increases by 1 more than x + 2
<u>We are looking for the number x + 4 = ab such that:</u>
- ba - ab = ab - 2 + 1
- ba = 2ab - 1
- 10b + a = 2(10a + b) - 1
- 10b + a = 20a + 2b - 1
- 8b = 19a - 1
- 19a = 8b + 1
<u>By trial method we get the solution:</u>
<u>Since x + 4 = 37, the lowest number is:</u>
<u>Lets verify:</u>
<u>The sum is:</u>
<u>The mean is:</u>
<u>Change the largest number tp 73 and find the sum again:</u>
- 175 + (73 - 37) = 175 + 36 = 175 + 35 + 1
The sum has increased by 1 more than 35
Convert 3 6/2 to an improper fraction so: 12/2
convert 2 4/5 to 14/5
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.
Answer:
the answer is No
Step-by-step explanation:
Since the first line has a slope of -4/7 and the other line has a slope of -1/7. This can be shown in point slope form y-y1=m(x-x1) where m=∆y/∆x.
Through points P and Q, the point slope is represented as -1-(-5)=m(-5-2) ; 4 = -7m ; m = 4/-7. The next two points R and S can be shown in point slope as 5-4=m(-2-5) ; 1 = -7m ; m =1/-7. With the fact that parallel lines must have equal slopes, these two lines cannot be parallel because -4/7≠-1/7
