I need help with problem 16
2 answers:
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Part 1)<span>There are 100 cm in 1 m and 1000 m in 1 km. You need a curtain for a window that is 156 cm wide.
Part (a) If you wanted to convert the width to kilometers, what conversion factor should you use? Show your work.
we know that
100 cm------> 1 m
1000 m-----> 1 km
step 1
convert cm to m
156 cm---------> 156*(1/100)-----> 1.56 m
step 2
convert m to km
1.56 m------> 1.56*(1/1000)----> 0.00156 km
step 3
find the factor
156 cm---------> 156*(1/100)*(1/1000)---> 156*[1/100000]=0.00156 km
the answer part 1a) is
the conversion factor is (1/100000)
Part </span><span>(b) What is the width in kilometers?
</span><span>
the answer Part 1b) is 1.56 km
Part 2)</span><span> The driver of a taxi charges $2 every minute plus a pickup fee of $3.
Part (a) Write an expression for the total cost of a taxi ride.
</span>
let
x-----> quantity of minutes of a taxi ride
y----> total cost of a taxi ride
we know that
y=2x+3
the answer Part) 2a is
An <span>expression for the total cost of a taxi ride is
</span>y=2x+3
Part <span>b) How much does an 18-min drive cost?
y=2x+3
for x=18 minutes
y=2*18+3-----> y=$39
the answer Part 2b) is
$39
Part 3)</span><span> Draw a net for each of the following shapes:
(a) Rectangular prism
(b) Triangular prism
(c) Pyramid
see the attached figures</span>
Part (a) If you wanted to convert the width to kilometers, what conversion factor should you use? Show your work.
we know that
100 cm------> 1 m
1000 m-----> 1 km
step 1
convert cm to m
156 cm---------> 156*(1/100)-----> 1.56 m
step 2
convert m to km
1.56 m------> 1.56*(1/1000)----> 0.00156 km
step 3
find the factor
156 cm---------> 156*(1/100)*(1/1000)---> 156*[1/100000]=0.00156 km
the answer part 1a) is
the conversion factor is (1/100000)
Part </span><span>(b) What is the width in kilometers?
</span><span>
the answer Part 1b) is 1.56 km
Part 2)</span><span> The driver of a taxi charges $2 every minute plus a pickup fee of $3.
Part (a) Write an expression for the total cost of a taxi ride.
</span>
let
x-----> quantity of minutes of a taxi ride
y----> total cost of a taxi ride
we know that
y=2x+3
the answer Part) 2a is
An <span>expression for the total cost of a taxi ride is
</span>y=2x+3
Part <span>b) How much does an 18-min drive cost?
y=2x+3
for x=18 minutes
y=2*18+3-----> y=$39
the answer Part 2b) is
$39
Part 3)</span><span> Draw a net for each of the following shapes:
(a) Rectangular prism
(b) Triangular prism
(c) Pyramid
see the attached figures</span>
For a Cloudy sky , the solar panel requires 80 hours to generate 400 kilowatts per day
For a clear sky the solar panel requires 12.5 hours to generate 400 kilowatts per day.
The solar panel does not exceed its maximum capacity of 400 kilo watts per day because it will generate 207 kilo watts per day.
Step-by-step explanation:
1.Given the inequality for power generated as;
5C+32L≤400 where C is number of hours when sky is cloudy and L is the number of hours when the sky is clear then;
The equation can be written using x and y as
5x + 32 y ≤ 400 -----where x=C and y=L
Graphing the equation on a graph tool for values of x and y that produce maximum capacity,the graph is attached below where x=80 hours and y=12.5 hours.
This means C=cloudy sky = 80 hours and L=clear sky= 12.5 hours
For a Cloudy sky , the solar panel requires 80 hours to generate 400 kilowatts per day
For a clear sky the solar panel requires 12.5 hours to generate 400 kilowatts per day.
2.
Given C=3 hours and L= 6 hours substitute values in the inequality
5C+32L≤400
5*3 + 32*6 ≤ 400
15+192 ≤ 400
207 ≤ 400
The solar panel does not exceed its maximum capacity of 400 kilo watts per day.
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Inequalities :brainly.com/question/10921764
Keywords: solar panel, power, maximum rate, sky, cloudy, clear,
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