A candle has been burning for 20 min and is now 25 cm tall. In an hour it will be 10 cm tall. Which equation models the height y of the candle in centimeters, x minutes after it was lit?

Answers

Answer 1

Answer:

(y - 25) = - 0.25(x - 20)

Step-by-step explanation:

Given that :

Height of candle after burning for 20 minutes = 25 cm

Height after burning for 1 hr (60 minutes) = 10 cm

Height (y) in cm of candle x minutes after being lit:

Using the equation :

(y - y1) = m(x - x1)

m = (change in y / change in x)

Change in height within 60 minutes :

Height at 20 minutes = 25cm

Height after an hour = 10

Change in height per hour = (25 - 10) = 15cm

Hence, m = change in height per minute

15cm / 60 = 0.25cm ( - 0.25) (decrease in height)

y1 = 25 ; x1 = 20

(y - y1) = m(x - x1)

(y - 25) = - 0.25(x - 20)


Related Questions

Question 1
Find the percent of change. Round to the nearest percent.
From $5 to $8

Answers

Answer:

60%

Step-by-step explanation:

So, the percent increase from $5 to $8 is 60%.

Suzy bought an Ipad for $432 and case for $57. If she gives the cashier $550, how
much will she get back?

Answers

Answer:

61 $

Step-by-step explanation:

Answer:

she would get 61 dollars back

Step-by-step explanation:

432+57=489   550-489=61 dollars

Two numbers have a sum of 30. Half of their difference is 7. Find the numbers.

Answers

Answer:

15

Step-by-step explanation:

I think it is but am not sure

Answer:

The two numbers are 22 and 8

Step-by-step explanation:

22 + 8 = 30

22 - 8 = 14

14 ÷ 2 = 7 or 1/2 of 14 is 7

the sum of two numbers is 9 and their difference is 1 ​

Answers

I can tell you for a fact the two numbers are 4 and 5.

Answer:

5 and 4

Step-by-step explanation

5 plus 4 is 9 and 5 and 4 are only one space apart

1. Find the sum of the measures of the angles of
a. A Quadrilateral
c. An Octagon
e. A 93-gon
b. A Heptagon
d. A Dodecagon

Answers

Answer:

E

Step-by-step explanation:

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Answers

Answer: jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj its 8

Step-by-step explanation:


PLEASE HELP ME please!

Answers

Answer:

x < -1

so its C

Step-by-step explanation:

Whats the answer to log [tex]log_{x+2} (9x) =2[/tex] ?

Answers

Answer:

x= 1, 4

Step-by-step explanation:

[tex]log_{x+2} (9x) =2\\\\

9x = (x+2)^2 \\\\

(x+2)^2 - 9x = 0\\\\

x^2 +4x + 4-9x = 0\\\\

x^2 - 5x +4= 0\\\\

x^2 - 4x-x+4=0\\\\

x(x-4)-1(x-4)=0\\\\

(x-4)(x-1)=0\\\\

x-4 =0\: or\: x - 1=0\\\\

x = 4\: or\: x = 1\\\\

x = 1,\: 4

[/tex]

Write an equation of the line that passes through the given point and is
perpendicular to the given line.

Answers

Answer: how old r u lol

Step-by-step explanation:

the ratio of the heights 1.50 cm and 75 cm of two person can be written as​

Answers

Answer:

1 : 50

Step-by-step explanation:

1.50 : 75

Multiply by 2 so there are no decimals.

3 : 150

Divide by 3 to simplify.

1 : 50

Answer:

1:50 & 1:5

The ratio of heights 1.50 m and 75 cm of two people can be written as 1:50 and 1:5.

write a two-step equation that involves division and addiction and had a solution of x=-25​

Answers

Answer:

I didnt get

Step-by-step explanation:

You mean,

x + 0.y + 25 = 0

Step-by-step explanation:

2x-25=25

2x=50

x=50

2

x=25

hope u want this..

find ten rational numbers between -2/5 and 1/2 (i need in a proper explaination please answer fasttt!!!​)

Answers

Answer:

-0.39, -0.38, -0.37, -0.36, -0.35, -0.34, -0.33, -0.32, -0.31, -0.3

Step-by-step explanation:

Rational numbers are basically any number that are not numbers with non-recurring decimals or non-terminating decimals.

-[tex]\frac{2}{5}[/tex] = -0.4

[tex]\frac{1}{2}[/tex] = 0.5

Thus, any number from -0.4 to 0.5 with decimals (if any), that will terminate and not stretch forever is rational. [tex]\frac{1}{3}[/tex] is not rational. Decimals that repeat are also rational. pi is not rational.

3(x-3)= -9+3x

no solution, one solution, or infinitely many solution?

Answers

Answer:

Step-by-step explanation:

3(x-3)= -9+3x

3x-9=-9+3x

IMS

Answer is no solution

The y-intercept of the line whose equation is x - y= 7 is 0-7 01 07​

Answers

Answer:

Y intercept is 7 here,

Look my first question

The Rodriguez family took 5.5 hours to gather information for their Schedule A. The itemized deductions saved them $4,095 in taxes. What was the mean savings per hour to fill out Schedule A tax form?

Answers

Answer:

The mean saving was $744.54 per hour to fill out Schedule A tax form.

Step-by-step explanation:

Given that:

Time taken by Rodriguez family = 5.5 hours

Amount saved in taxes = $4095

5.5 hours = $4095

The mean savings per hour can be calculated by dividing the total hours taken by the amount saved in taxes.

1 hour = [tex]\frac{4095}{5.5}\\[/tex]

1 hour = $744.54

Savings per hour = $744.54

Hence,

The mean saving was $744.54 per hour to fill out Schedule A tax form.

the sum of six consecutive positive integers is 2013,which is the largest of these

Answers

Answer:

67

Step-by-step explanation:

idonfthsjbwjsnsksmksns

The three linear equations have y-intercepts of -3, 8 and 7 respectively. Yet, a function can have only

one y-intercept. Which of these is the y-intercept of this function? Explain how you made your choice.

Answers

Answer:

hello your question have some missing part attached below is the missing part

answer : y ( intercept )  = 8

Step-by-step explanation:

Having three linear equations with y-intercepts of -3, 8 and 7,

To determine The y-intercept of this function ;

x = 0 and x = 0  which comes in   -2 ≤ x < 3

f' - f(x) = x + 8 ,

therefore the y intercept in  f(0) = 0 + 8 = 8

in JKL, if m<J is 7 less than m<L and m<K is 21 less than twice m<L, find the measure of each angle​

Answers

Answer:

Step-by-step explanation:

First you must know that the sum of angle in a triangle is 180degrees

In triangle JKL, <J+<K+<L = 180 ..... 1

If m<J is 7 less than m<L , then;

m<J = m<L -7 ..... 2

If m<K is 21 less than twice m<L then;

m<K = 2m<L - 21 ...... 3

Substitute 2 and 3 into 1;

from 1; m<J+m<K+m<L = 180

m<L - 7 + 2m<L - 21 + m<L = 180

4m<L - 28 = 180

4m<L = 180+28

4m<L = 208

m<L = 208/4

m<L = 52 degrees

Get m<J;

m<J = m<L -7

m<J = 52-7

m<J = 45 degrees

Get m<K;

m<K = 2m<L - 21

m<K = 2(52) - 21

m<K = 104 - 21

m<K = 83degrees

IS ANYONE GOOD AT MATH!!!!!!!!!!

Answers

Answer:

yes i am!!!!!!

Step-by-step explanation:

need help asap please​

Answers

Answer:

If your looking for #11 I think the answers -5

Step-by-step explanation:

Help me help me help me help me help me help me

Answers

Answer:

no that is incorrect I know because i took this test already

Answer:bnjckfkf

Step-by-step explanation:

Dhcj

Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?

Rewrite the expression on the left using the distributive property.
Multiply both sides by x.
Rewrite the expression on the left using subtraction.
Divide both sides by x.

Answers

Answer:

Rewrite the expression on the left using the distributive property.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

One number is three more than the second number. Twice the first is nine less than three times the second. What are the two numbers?

Answers

Answer:

16 and 13

Step-by-step explanation:

Let the second no is x

First no = x+3

Twice the first is nine less than three times the second.

We can write in the form of equation as follows :

2(x+2) = 3x-9

Solving brackets first

2x+4=3x-9

Taking like terms together

9+4=3x-2x

13=x

First no = x+3 = 13 + 3 = 16

So, first and second numbers are 16 and 13 respectively.

Mr. Clarkston has a box of colored beads containing 3 pink, 6 purple, 3 yellow, 4 gold, and 2 silver beads. If a student reaches into the box and removes a bead without looking, what is the probability of removing a bead that is purple?

A) 5/6
B) 1/3
C) 2/3
D) 1/6

Answers

Answer:

B

Step-by-step explanation:

there are 18 beads and 6 of them are purple. 6/18 simplified is 1/3

Find the product
(4p + 6)( 7p -5)

Answers

Answer:

28p^2+22p-30

Step-by-step explanation:

I'm a genius

the quadrilateral obtained by joining the mid points of adjacent sides of a square is?​

Answers

Answer:

Square

Step-by-step explanation:

the quadrilateral obtained by joining the mid points of adjacent sides of a square is a square.

Hallo this is on demos so please try and halp :D( i just organized it thats not what I think)

Answers

Answer:

Sorry

Step-by-step explanation:

Tonya drove 343 miles the first day of her trip.  How many days will it take her to drive the remaining 1200 miles if she continues at the same rate?​

Answers

Answer:

It would take Tonya about 3.5 days

Step-by-step explanation:

[tex]1/343 = .003[/tex]

[tex].003*1200=3.5[/tex]

Answer:

nmnbbmnvbmn

Step-by-step explanation:

,jhnjbghjnvfgbhfbvn

PLZZZZZZZZZZZZZZZ HELP I HAVE NO CLUE ON WHAT THE ANSWER ARE!!! PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!
Which expressions are equivalent to the expression (look at the first image) Select all that apply.

ANSWERS CHOICES IN SECOND IMAGE

AND EXPLAIN ITTTTTTT PLZZZZ

Answers

it seems like E is the one that looks simlar

if not im

so sorry

Se desea sujetar un poste de 20 metros de altura con un cable que parte de la parte superior del mismo hasta el suelo de modo que forme un ángulo de 30 metros.¿Cual es la longitud del cable?

Answers

Answer:

la longitud del poste es ... creo que 60? No soy bueno con los medidores, pero espero que esto ayude.

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