$23.58 divided by 12 = $1.965
Each roll is about $1.97 (if you round up)
Y = 3x + b
6 = 3(4) + b
6 = 12 + b, b = -6
Equation: y = 3x - 6
Distribute the 1/4:
1/4(16x) + 1/4(20) - 7x
Do the multiplication:
1/4(16x) = 16x/4 = 4x
1/4 (20) = 20/4 = 5
Now you have:
4x + 5 - 7x = 0
Combine like terms (4x and -7x):
-3x + 5 = 0
Subtract 5 from both sides:
-3x = -5
Divide by -3:
x = -5/-3 = 5/3
Answer:
x= 5/3
-2x + 5 < 7
-2x + 5 < 7
<u> -5 -5 </u> deduct 5 from both sides
-2x < 2
<u>÷ -2 ÷ -2 </u> divide both sides by negative 2. Because of the division
x > -1 using a negative number, the sign is then reversed.
from < it becomes >.
The value of x should be greater than -1. It can be 0, 1, 2, so on...
To check: Revert back to the original sign which is <.
x = 1
-2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7
Answer:
Wednesday (9 weeks later) = 10th October.
Step-by-step explanation:
We label the days with the initials of the names.
M= 4
D = 7
B = 6
LCM of 6 +7 = 42
LCM of 6+7 + 4 = 84
We find 84 is the amount of days we need to add on to july 18th
We first find the weeks 84/7 = 9 weeks.
As Wednesday July 18th is exclusive it would be 84 days after this event.
18+ 84 = 102 days.
31 days in july = 31
31 days in Aug = 31
30 days in Sept = 30
= 92
102-92 = 10
We now know date is Wednesday 10th October
We can check 84 days = 9 weeks
13 days in July makes 31st july
31 days in Aug makes 31st Aug
30 days in Sept makes 30th Sept
= 74 days + 10 days = 84
10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.