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2 answers:
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Value of the pursue in cents:
Step-by-step explanation:
Let's call:
= number of pennies
The problem tells us that the pursue contains twice as many nickels as pennies, so the number of nickels is
Also, the pursue contains five more dimes than nickels, so the number of dimes is
And finally, the pursue contains as many quarters as dimes and nickels combained, so the number of quarters is
The value of each type of coin is:
Penny: 1 cent
Nickel: 5 cents
Dime: 10 cents
Quarter: 25 cents
So, the total value of the pursue in cents is:
And substituting,
So, this is the value of the change in the pursue in cents.
Learn more about expressions:
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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>