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.


Related Questions

A circle is divided into 6 equal-sized sections. The sections are rearranged to form a shape that approximates a parallelogram, as shown. height (n) base (6) Which of the following can the expression bh be used to approximate? A the area of the circle ® the circumference of the circle © the area of one section of the circle o the perimeter of one section of the circle​

Answers

Answer:

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

Step-by-step explanation: since the circle is divided you should calculate the area of one section of the perimeter

hope this helps

Answer (D.)

Step-by-step explanation:

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

Parker's family took a road trip to Niagrara Falls. Parker fell asleep after they had travelled 198 miles. If the total length of the trip was 440 miles, what percentage of the total trip had they travelled when Parker fell asleep?

Answers

Answer:

242

Step-by-step explanation:

because i need trust in my life

Answer:

45%

Step-by-step explanation:

this time trust me everyone here

.
The sale price of a necklace was $77. It had been marked down 30 percent for the sale. What was the original price of the necklace?

Answers

Answer:

List Price = $ 110.00

Discount Amount = $ 33.00

Need answers ASAP!!






I have 3 hours

Answers

Answer:

lolololol

Step-by-step explanation:

idek

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

time = 750 / 300

time = 2.5 years

Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number? What is the right option?

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

= 90 ÷ 6

= 15

Hence, the first option is correct

i.e. 90.24 divided by 6.3

And, all the other options are wrong

The density of gold is 19.3 g/cm3. A weight of 1 ounce is equivalent to a mass of about 28.35 g. Which of these is closest to the side length of a cube-shaped block of gold that has a weight of 8 ounces?

Answers

Answer: 10000099

Step-by-step explanation: bc i need points

Can someone please help
Smamsnsnjaka

Answers

Answer:

2.25 is thhe slope

Step-by-step explanation:

The slope is 2.25 since it changes it the increase of the X, which will later create a slope, in this case an increasing slope.

Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?

Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000


$200.00
$260.00
$2,000.00
$2,600.00

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

 D.) $2,600.00

Step-by-step explanation:

Write a quadratic function whose graph has the given characteristics.

x-intercepts: (4, –1)
point: (1, –2)

Answers

Answer:

here you go

Step-by-step explanation:

how many whole numbers are there from 24 to 721

Answers

Answer:

697

Step-by-step explanation:

Answer:

698

Step-by-step explanation:

(721-24)+1= 698

the slope of (2,11) and (10,4)

Answers

See the attachment...

Answer:

-7/8

Step-by-step explanation:

the formula for calculating slope for the given coordinates is:

(y2-y1)/(x2-x1)

so (2,11) = (x1,y1)

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

then putting the values in the formula.

Is this table linear?

Answers

Answer:

Yes I guess .............

9. Identify the marked measurement


Answers

Answer:

9.   3.4

10.  4.4

Step-by-step explanation:

You use a pair of shoes to measure a distance. The shoes are 10 3/4 inches long. The distance is equal to the length of 12 of the shoes. What is the distance?

Answers

Answer:

10 ft 9 in

Step-by-step explanation:

If you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, the shoes are 10 3/4 inches long. The distance is equal to the length of 12 shoes.

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

The total distance according to the given condition is,

= 12 × 10 3/4 inches

= 12 × 43/4

= 129 inches

Thus, if you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Geometry (congruent triangles ) help please idk what to do

Answers

Answer:

H

PLEASE MARK BRAINLIEST

A square with a side of y is transformed into a rectangle by adding 10 to one side and then subtracting 10 from another. Express the new area as a polynomial

Answers

Answer: [tex]y^2-100.[/tex]

Step-by-step explanation:

if we have a square with sides 'y' units,

then, its breadth = length = y

If we add 10 to one side it will become (y+10)  (longer one) and subtract 10 from another, then it will become (y-10) (shorter one).

Area of rectangle = breadth x length

So, area of rectangle [tex]= (y+10)(y-10)[/tex]

[tex]= y^2-10^2=y^2-100\ \ \ \ \ [(a-b)(a+b)=a^2-b^2][/tex]

Hence, the new area as a polynomial = [tex]y^2-100.[/tex]

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
380+19=399
Answer: school’s increase student population with be 19, with a total of 399 students

I NEED THE CORRECT ANSWER PLEASE 77 POINTS NO WEBSITES
Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?

Answers

Answer: 102.144

Step-by-step explanation:

128 times 0.25 = 32

128 - 32 = 96

96 times 1.064 = 102.144

So, she will pay 102.144

How many 2 ¼ inch ribbons can you make from a piece of fabric that is 3 feet wide?

Answers

Answer:

0.75

Step-by-step explanation:

Ok so we all know that 1/4 is equal to 0.25 as 1/2 is equal to 0.50 and as 3/4 is equal to 0.75. So tell me. after converting the 1/4 to a decimal what do you get?  .25 right or just to not confuse you 0.25, so then after converting it to a decimal bring down that whole number which is 2. Put the 2 in the place of that 0 and you get 2.25, after that divide 2.25 by 3. which would equal 0.75. try this and see if im right

You bought 6 flowers for your valentine and spent 44$. You bought a combination of carnations for 2$ each or roses for 10$ each. How many of each type of flower did you buy.

Answers

Answer:

4 roses & 2 carnations

Step-by-step explanation:

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!

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

chart below.

Mars, Neptune, Earth, Saturn

Planet

Diameter

in kilometers!

Earth

11,800

1.2 x 104

Saturn

Mars, Saturn, Neptune, Earth

5.0 x 10°

Neptune

Mars

4,800

Mars, Earth, Neptune, Saturn

Mars, Earth, Saturn, Neptune

Which list shows the planets in order from the least diameter.

to the greatest diameter.

CLEAR ALL

Answers

Answer:

Mars, Earth, Neptune, Saturn

Step-by-step explanation:

Planets                   Mars,       Neptune,        Earth,      Saturn

Diameter (km)        6770         49244             12742     116460

The least diameter is of mars, then is of the earth, then Neptune and the greatest in the list is of Saturn.

The list of least to greatest would be

Mars, Earth, Neptune, Saturn

The mars is farther to the sun as compared to the earth. As the planet moves away from the Sun it's orbit becomes bigger and bigger. Neptune is the eigth planet and saturn is the sixth planet.

Describe the error made in subtracting the two rational expressions shown

Answers

Answer:

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

Step-by-step explanation:

The error made in this solution of rational fractions' subtraction is that the minus sign between the two terms will change the signs of numerator of second fraction so the numerator in the answer will be 3.

The correct solution is:

[tex]\frac{1}{x-2} - \frac{1}{x+1}\\=\frac{x+1}{(x-2)(x+1)} - \frac{x-2}{(x-2)(x+1)}\\=\frac{x+1-(x-2)}{(x+1)(x-2)}\\=\frac{x+1-x+2}{(x+1)(x-2)}\\=\frac{3}{(x+1)(x-2)}[/tex]

Hence,

The error was in the last step of subtraction.

Answer:

You must subtract all terms of the numerator being subtracted out, not just the first term.

The negative 2 should have been subtracted out to get a numerator of x+1 - x+2

The simplified numerator of the difference should be 3, not –1.

Step-by-step explanation:

got it right on edge 2020

A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The
total sales on a certain day was $98. If they sold 10 pumpkins, write and solve a linear
equation to find the number of tomatoes sold.

Answers

Answer:

Step-by-step explanation: I need help

Which expression is NOT equivalent to 12x + 18y?

A) 6 (2x) + 18y
B) 6 (2x + 3y)
C) 6x + 9y + 6x + 9y
D) 3 (4x + 18y)

Answers

Answer:

D

Step-by-step explanation:

3 (4x + 18y) means that 3 will multiply 4x and 18y factor which results to 12x + 54y

hence dissimilar to the original expression

The drop down options are explicit and recursive.

Answers

Answer:

Recursive

Explicit

Step-by-step explanation:

An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.

The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.

Hence, we are relating the previous terms to define the nth term.

For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.

Emmett and Charlotte are both selling cookie dough for a fundraiser. Although Emmett has
already sold 2 tubs, Charlotte hasn't sold any yet. If Emmett starts selling 7 tubs per day and
Charlotte begins selling 9 tubs per day, they will eventually sell the same amount of cookie
dough. How many tubs will each sell? How many days will that take?

Answers

Answer:

Step-by-step explanation:

7x+2=9x

2=2x

x=1

1 day, they'll each sell 9 tubs

If a cyclist rides at a constant rate of 24 miles per hour, how long would it take the cyclist to ride 120 miles?

Answers

I not sure but I think it’s 1440

Answer:

it is 4.25

Step-by-step explanation:

divide 120 by 24 and you will get 4.25

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