Answer:
82
Step-by-step explanation:
Let's first figure out what the first number is and use that to solve for the next. The problem states that the numbers are consecutive. So the 2nd number word be 1 plus the first.
The sum of 4 consecutive numbers:
1st = x
2nd = x + 1
3rd = x + 2
4th = x + 3
The sum of 4 consecutive number is 326.
1st + 2nd + 3rd + 4th = 326
x + (x + 1) + (x + 2) + (x + 3) = 326
Combine like terms:
4x + 6 = 326
Then we subtract 6 from both sides to isolate 4x:
4x + 6 - 6 = 326 - 6
4x = 320
Then we divide both sides by 4 to isolate x:
4x/4 = 320/4
x = 80
So the first number is 79
Now to get the second, let's just add 1.
80 + 1 = 81
Let's check if our answer would be correct:
80 + 81 + 82 + 83
= 326
Answer: 25/676
Step-by-step explanation:
Number of possible outcomes = 26
In other to win, one must draw must be either (A, E, I, O or U)
Therefore required drws to win = 5
First draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Second draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Therefore,
P(winning twice) = (5/26) × (5/26) = 25/676
<span>We will use s for the cost of a small candle and m for the cost of a medium candle.
(a)
The candles and price for Jin can be written as:
3s+1m=$3.85
The candles and price for Trish can be written as:
4s+5m=$10.45
The system of equations that we have is:
</span>3s+1m=$3.85
4s+5m=$10.45
(b)
We will use substitution to solve this problem.
From the first equation we can find out m:
3s+1m=$3.85
1m=$3.85-3s
Now we insert this into second equation and we solve it for s:
4s+5($3.85-3s)=$10.45
4s+$19.25-15s=$10.45
-11s=-8.8
s=$0.8
Now we can find m:
m=$3.85-3*$0.8
m=$3.85-$2.4
m=$1.45
(c)
The candles and price for Jin can be written as:
2s+1m=price
We can insert values for s and m:
2*$0.8+$1.45=price
price=$1.6+$1.45
price=$3.05
