A candle is lit and burns at a constant rate of change until it is completely burned. When the candle has been burning for 2.7 hours it is 14.3 inches tall and when it has been burning for 7.1 hours it is 4.2 inches tall. At what constant rate did the candle burn?

Answers

Answer 1

Answer:

2.29 inches/hour

Step-by-step explanation:

Given that the candle burns at a constant rate.

After time 2.7 hours, candle was 14.3 inches tall.

After time 7.1 hours, candle was 4.2 inches tall.

To find:

The constant rate at which the candle burn.

Solution:

Let the length be represented by [tex]l[/tex] and time be represented by [tex]t[/tex].

Let the constant rate be [tex]m[/tex].

and the initial length be [tex]L.[/tex]

The equation can be written as:

[tex]l =mt+L[/tex]

At [tex]t[/tex] = 2.7 hours , [tex]l[/tex] = 14.3 inches

[tex]14.3 =2.7m+L ..... (1)[/tex]

At [tex]t[/tex] = 7.1 hours , [tex]l[/tex] = 4.2 inches

[tex]4.2 =7.1m+L ..... (2)[/tex]

Equation (1) minus (2):

[tex]10.1=-4.4m\\\Rightarrow m = - 2.29\ inches/hour[/tex]

The candle burns at the rate of 2.29 inches/hour.


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Answer:

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Step-by-step explanation:

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Answers

Answer:

90.24 divided by 6.3

Step-by-step explanation:

For reaching to the answer, we have to test each of the options given

The first option says that the divisor and dividend is 90.24 and dividend is 6.3

Now if we rounded it

So it would be 90 and 6

So, the quotient is

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= 15

Hence, the first option is correct

i.e. 90.24 divided by 6.3

And, all the other options are wrong

Last year, there were 380 students at Woodland Middle School. This year, the student population will increase by 5%. What will be the school’s increased student population?

Answers

380x0.05=19
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how many whole numbers are there from 24 to 721

Answers

Answer:

697

Step-by-step explanation:

Answer:

698

Step-by-step explanation:

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what is the measure of mid-segment DE?
a. 13
b. 6
c. 10
d. 18​

Answers

Answer:

A.13

Step-by-step explanation:

We can tell that a measurement of the mid segment DE = 13 because of what the length of the line BC equals... The length of BC = 26 this means that the mid segment equals 13 because 26 divided by 2 equals 13... The mid segment we'll be half the half length of the other line given. Hope this helps!

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Answers

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Step-by-step explanation:

Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?

Answers

Answer:

time in years = 2.5 years

Step-by-step explanation:

time = interest / (principal amount x rate)

time = 750 / 5000 x 0.06

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what is the answer to this solve 3x-7=32

Answers

Answer:

Step-by-step explanation:

How to solve your question

Your question is

3

7

=

3

2

3x-7=32

3x−7=32

Solve

1

Add

7

7

7

to both sides of the equation

3

7

=

3

2

3x-7=32

3x−7=32

3

7

+

7

=

3

2

+

7

3x-7+{\color{#c92786}{7}}=32+{\color{#c92786}{7}}

3x−7+7=32+7

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

Solution

=

1

3

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Answers

Answer:

I think its the perimeter of one section of the circle.

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Answer (D.)

Step-by-step explanation:

1. The approximate diameter of five planets are listed in the

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Diameter

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Saturn

Mars, Saturn, Neptune, Earth

5.0 x 10°

Neptune

Mars

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Mars, Earth, Neptune, Saturn

Mars, Earth, Saturn, Neptune

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to the greatest diameter.

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Answers

Answer:

Mars, Earth, Neptune, Saturn

Step-by-step explanation:

Planets                   Mars,       Neptune,        Earth,      Saturn

Diameter (km)        6770         49244             12742     116460

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The list of least to greatest would be

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Answers

See the attachment...

Answer:

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Step-by-step explanation:

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and (10,4) = (x2,y2)

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A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The
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Answers

Answer:

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Answers

Answer:

D

Step-by-step explanation:

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Answers

Answer:

The minus sign between the two fractions was not distributed correctly.

Step-by-step explanation:

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The correct solution is:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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1
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Answers

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Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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brainly.com/question/20595275

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Answers

Answer:

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