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
Answer:
(0,7/6)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((6x + 3) - 2 • (x + 1)) + 5
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
4x + 6 = 2 • (2x + 3)
Final result :
2 • (2x + 3)
Answer:
She can invite 109 guests and be right on top of budget. If she wants to spend less than her budget though she can only invite 108 people.
Step-by-step explanation:
First you have to subtract 5,748 - 2,478 which is 3270. Next you have to divide 3270 by 30 because each person costs 30 dollars. 3270 divided by 30 is 109.
I hope this helps! Please mark me brainliest if I am correct! Have a nice day!
Answer:
q1: yes
q2: no
Step-by-step explanation:
2(5)+10(1)=20
10+10=20
20=20
(5)+(1)=6
5+1=6
6=6
(8)=(1)+3
8=1+3
8=4