Answer:
89
Step-by-step explanation:
There are only 30 pages but last page number is 89.
For the sake of simplicity, let us say that the bottle contains x liters of water.
The pail originally contained x+3.68 L of water
After pouring out 1.2L, the pail contains x+(3.68-1.2)L or x+2.48 L
<span>
(a) How much more water did the pail contain than the bottle in the end?
Since the bottle contains x L of water, the pail (containing x+2.48 L of water) contains (x+2.48) - x more liters of water than the bottle or "the pail contained 2.48 L of water more than the bottle"
</span><span>(b) How much water did the bottle contain?
</span>We are told that after pouring the 1.2L of water out, the pail contained 3 times as much water as the pail. Therefore, 3x = x+2.48. Subtracting x from both sides gives us 2x = 2.48. Dividing both sides by 2 gives us x = 1.24L
Answer:
Option b
Step-by-step explanation:
Given that the probability distribution of X, where X is the number of job applications completed by a college senior through the school’s career center.
Expected observed Diff
x p(x) p(x)*1000
0 0.002 2
1 0.011 11 14 -3
2 0.115 115 15 100
3 0.123 123 130 -7
4 0.144 144
5 0.189 189
6 0.238 238
7 0.178 178
1 1000
We find that there is a large difference in 2 job application
Hence option b is right.
1.) y=3
2.) y=13
2y + y = 3y , 22+17= 39
3y = 39 , divide 3 on each side (which cancels out the 3 with the y which leaves you with y)
3.) y=10
3y - y = 2y , 35-15= 20
2y=20 , do the same as # 2.
4.) y=4
9y - 5y = 4y , 48-32= 16
4y=16, do the same as #2 & #3
5.) (4,5)
x + 3y = 19
2x - 3y = -7
solve for x first ; x + 2x= 3x , 19-7 = 12; 3x = 12 ; divide 3 ; x= 4. You know have to make the x's cancel out. so I will multiply -2 on the first equation. -2(x+3y=19)
-2x - 6y = -38
2x - 3y = -7
Now solve for y ; -6y + -3y = -9y , -38 + -7 = -45; -9y=-45 ; divide by -9 (since they are both negative your answer will be positive) ; y= 5
6.) (6,8)
x + 4y = 38
-x - 3y = -30
solve for y first ; 4y - 3y = y , 38-30 = 8; y=8 (that simple!) Now you need to find a common multiple for 4 & 3 which is 12. So you will have to multiply each equation by either 4 or 3.
(x + 4y = 38)*3 = 3x + 12y = 114
(-x - 3y = -30)*4 = -4x - 12y = -120
solve for x ; 3x - 4x = -x , 114-120= -6 ; -x=-6. Since the x has a negative that means there's still a 1 there so -1x=-6 ; you will need to divide this which makes the 6 a positive; x=6
To find the total profit, add p(x) and q(x):
(110 + 25x) + (15x + 85)
15x + 25x + 110 + 85 --> group like terms
40x + 195 --> add like terms
p(x) + q(x) = 40x + 195 --> This is the function that represents the total profit for January and February
