Answer:
Area=76.56 square feet
Step-by-step explanation:
area of a rectangle =base*height = 5ft*8ft= 40 square feet
area of a triangle=(base*height)/2 =(4ft*4ft)/2= 8 square feet
area of a square=base*height =4ft*4ft= 16 square feet
area of a circle =* r^{2}[/tex]=3.14*
= 12.56 square feet
r = radius
Total area=(40+8+16+12.56)square feet
Total area=76.56square feet
Answer:
Part ) The graph in the attached figure
Part b) The system has infinitely solutions
Step-by-step explanation:
Part a) Graph this system of inequalities
we have
y < -x+4 -----> inequality A
The solution of the inequality A is the shaded area below the dotted line
y=-x+4
The y-intercept of the dotted line is the point (0,4)
The x-intercept of the dotted line is the point (4,0)
The slope of the dotted line is negative (m=-1)
y > -x-2 -----> inequality B
The solution of the inequality B is the shaded area above the dotted line
y=-x-2
The y-intercept of the dotted line is the point (0,-2)
The x-intercept of the dotted line is the point (-2,0)
The slope of the dotted line is negative (m=-1)
using a graphing tool
The graph in the attached figure
Part b) How many solutions does this system of inequalities have?
we know that
The solution of the system of inequalities is the shaded area between the two dotted lines (see the attached figure)
therefore
The system has infinitely solutions
Answer:
5 pints per hour.
Step-by-step explanation:
Morning:
Given:
Number of strawberries packed in every 4 minutes = 3
∴ Number of strawberries packed in every one minute =
So, number of strawberries packed in every 60 minutes =
1 hour = 60 minutes.
So, strawberries are packed at a rate of 45 pints per hour in the morning.
Afternoon:
Number of strawberries packed in every 3 minutes = 2
∴ Number of strawberries packed in every one minute =
So, number of strawberries packed in every 60 minutes =
1 hour = 60 minutes.
So, strawberries are packed at a rate of 40 pints per hour in the afternoon.
Difference between the packing rates is given as:
Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.
So, she packed 5 more pints in one hour in the morning than in the afternoon.