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:
theta = 24.4 degrees
Step-by-step explanation:
This is a right triangle.
sin theta = opp/ hyp
sin theta = 33/80
Take the inverse of each side
sin^-1 sin(theta) = sin^-1 (33/80)
theta =24.36197794
To the nearest tenth
theta = 24.4 degrees
Answer:the perimeter of the rectangle =A) (−14w+14v) centimeters
Step-by-step explanation:
Step 1
The perimeter of a Rectangle is given as 2 (l+ w)
If Length = 2v+3w centimeters.
and width =5v-10wcentimeters
Then Perimeter =2 (2v+3w + 5v-10w)
Perimeter=2(7v -7w)
Perimeter= 14v - 14w or can be written as -14w +14v
Justin's statement would be the best. In order to change 3/5 into 6/10, both sides would need to be multiplied by 2.
5 Bc u divide 15 by 3 to get 5
