Answer: The 3rd number in the sequence is 29.
Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’
With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.
The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.
Therefore we can now write our consecutive odd numbers as follows;
x + (x + 2) + (x + 4) + (x + 6) + (x + 8)
Remember that all the numbers add up to 145. Therefore,
x + x + 2 + x +4 + x + 6 + x + 8 = 145
5x + 20 = 145
Subtract 20 from both sides of the equation
5x = 125
Divide both sides of the equation by 5
x = 25.
The first odd number is 25, which means the 3rd odd number is 25 + 4.
Therefore the 3rd odd number is 29.
First you need to find the amount of money the discount decreased.
10(0.2)=2
Then, in order to find the sale price you need to subtract the discount price from the original price of the burger.
10-2=8
Answer: $8
You would have 4 left after dinner: (.875)(32)=28 so you have 28 completed before dinner and would have 4 left to do.
Answer:
The answer is C
Step-by-step explanation:
Just did it on 2020 edg.
A=number of seats in section A
B=number of seats in section B
C=number of seats in section C
We can suggest this system of equations:
A+B+C=55,000
A=B+C ⇒A-B-C=0
28A+16B+12C=1,158,000
We solve this system of equations by Gauss Method.
1 1 1 55,000
1 -1 -1 0
28 16 12 1,158,000
1 1 1 55,000
0 -2 -2 -55,000 (R₂-R₁)
0 12 16 382,000 (28R₁-R₂)
1 1 1 55,000
0 -2 -2 -55,000
0 0 4 52,000 (6R₂+R₃)
Therefore:
4C=52,000
C=52,000/4
C=13,000
-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.
A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.
Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.
