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elixir [45]
2 years ago
9

Claire boarded an airplane in Richmond va and flew 414 miles directly to Charleston sc. The total flight time was 3/4 hour. How

fast did Claire's airplane in miles per hour?
Mathematics
2 answers:
Fantom [35]2 years ago
7 0
Distance = rate times time.

414= .75x

414/.75

552 miles per hour
IRINA_888 [86]2 years ago
6 0

Answer: 552 mph

Step-by-step explanation:

The formula to find speed is given by :-

\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}

Given : Claire boarded an airplane in Richmond va and flew 414 miles directly to Charleston sc.

Distance = 414 miles.

The total flight time was \dfrac{3}{4} hour.

Then, the speed of Claire's airplane= \dfrac{414}{\dfrac{3}{4}}

=414\times\dfrac{4}{3}=552\text{ mph.}

Hence, the speed of Claire's airplane= 552 mph.

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The revenue function for a production by a theatre group is R(t) = -50t^2 + 300t where t is the ticket price in dollars. The cos
Mkey [24]
Break even is the value of t where revenue=cost or R(t)=C(t)

set equal each other

-50t^2+300t=600-50t
multiply both sides by -1
50t^2-300t=50t-600
divide both sides by 50
t^2-6t=t-12
minus t-12 from both sides
t^2-7t+12=0
factor
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t-4=0
t=4

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the cost is $3 or $4

it will first break even at t=3$
7 0
1 year ago
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Which relation is a function of x? {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} A 2-column table with 4 rows. Column 1 is labeled x
inna [77]

Answer: The answer is D . The graph

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5 0
2 years ago
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Paula has a dog that weighs 3 times as much as Carla's dog
ivanzaharov [21]

Answer:

The weight of Paula's dog is 36 pounds.

Step-by-step explanation:

SO we would draw one box for the weight of Carla's dog. Then we would draw 3 boxes for the weight of Paula's dog.

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So then you would calculate 48 divided by 4.

The weight of Carla's dog is 12 pounds.

Therefore the weight of Paula's dog is 3x12=3x10+3x2=30+6=36 pounds.

4 0
2 years ago
Lucy wants to have a fun-filled day without spending too much money. The local zoo charges a $25 entry fee and a parking fee of
ehidna [41]

Answer:

The required system of equations is,

y=25+x

y=20+2x.

Step-by-step explanation:

Let the number of hours spent by Lucy = x

It is given that,

Local zoo charges initial fee $25 and per hour fee $1.

So, the equation representing the cost if Lucy stays 'x' hours is,

y=25+x in dollars.

Also, Local citcus charges initial fee $20 and per hour fee $2.

So, the equation representing the cost if Lucy stays 'x' hours is,

y=20+2x in dollars.

Since, the objective function for the situation is to 'minimize the cost'.

So, upon solving the equations, we will get the minimum value as,

25+x = 20+2x

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y=25+x implies y=25+5 i.e. y= $30

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8 0
2 years ago
The local skating rink pays marry a fixed rate per pupil plus a base amount to work as a skating instructor. she earns $90 for i
Ganezh [65]
You have to make a system of equations: lets make a equal the amount marry makes per student and b be her base amount.
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62=8a+b   (90-62=28, 15a-8a=7a, and b-b=0)
Since b canceled out, you are left with 7a=28 which means a=4.  you can than plug a into the equation 62=8a+b to find that b=30.

since Lisa makes half of the base amount marry, her base amount is 15.  However, she also make twice the amount per kid so she makes 8 per kid.
using the found values found you can make the equations (m=the amount Marry makes, l=the amount Lisa makes, and c is the number of children)
m=4c+30
l=8c+15
set c=20 and you should get m=110 and l=175.  Based off of that information, we can say that Lisa makes more money instructing a class of 20 students.
I hope this helps.
8 0
1 year ago
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