William needs 102.6 fencing in all because 76.9 plus 25.7 equals 102.6, hope this helps!
Answer:
The answer to your question is: 5 bottles
Step-by-step explanation:
Process
First week
Divide 24 by 8
24/8 = 3 bottles = 1/8
but Sanjay drank 3/8 = 9 bottles
And there are 24 - 9 bottles left = 15
- Second week
Divide 15 by 3
15/3 = 5 then 5 bottles = 1/3
but sanjay drank 2/3 = 10 bottles
Then, there are 15 - 10 bottles left = 5
The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
Answer:
x=7
Step-by-step explanation:
3ˣ⁻⁵=9
3ˣ⁻⁵=3²
x-5=2
x=2+5
x=7
Answer: the depth of the trench is 3685 ft
Step-by-step explanation:
The hole is approximately 347 yards wide. This means that the diameter of the hole is 347 yards.
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder or hole.
h represents the height or depth of the cylinder or hole.
π is a constant whose value is 3.14
From the information given,
Volume = 348289500 ft³
Radius = diameter/2 = 347/2 = 173.5 ft
Therefore,
348289500 = 3.14 × 173.5² × h
348289500 = 94521.065h
h = 348289500/94521.065
h = 3685 feet
