A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlesticks 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.

Answers

Answer 1

Answer:

w43324424

Step-by-step explanation:

Answer 2

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed asTn = a + (n - 1)dWhere a represents the first term of the sequence.d represents the common difference.n represents the number of terms in the sequence.From the information given,d = - 0.2 (it is decreasing)n = 8T8 = 13.4 inchesWe want to determine the value of the first term, a. Therefore,13.4 = a - 0.2(8 - 1)13.4 = a - 1.4a = 13.4 + 1.4 = 14.8 inches


Related Questions

1. 14=7b
2. -11=k/4
3.6z=-6

Answers

Answer:

the anwer is 14-2294-dhi2

Step-by-step explanation:

Because 14 is - 4 you multiple to 5 equal= dhi2

Shen choses a letter at random from the word PROBABILITY. Write down the probability that the letter is a vowel.

Answers

Answer:

4/11 or 36.3636%

Step-by-step explanation:

probability= number of favorable outcomes/ number of possible outcomes

The event containing vowels {O,A,I,I}

P(vowel)= 4/11

in percentage, 36.3636%

A newspaper and a magazine cost N220 together.the newspaper costs N140 less than the magazine find cost of each

Answers

Answer:<3

The analysis documented industry-wide, more-than-substantial price hikes. Seven-day home delivery price more than doubled, and weekday single-copy price tripled. Seven-day The analysis documented industry-wide, more-than-substantial price hikes. Seven-day home delivery price more than doubled, and weekday...

In a sampler box of candy there are 20 mints, 10 fudges and 20 toffees. ​ ​A sweet is taken at random from the packet. ​What is the probability that it is fudge? ​ ​Write the answer as a percentage.

Answers

Answer:

98%

Step-by-step explanation:

have a great day

Answer:

2% chance.

Step-by-step explanation:

20 + 20 + 10 equals 50. 1 divided by 50 equals 0.02, which is 2 percent.

please help me with this 4 question​

Answers

Answer:

i) c. 1,08,00,000 cm³

ii) c. 1687.5 cm³

iii) b. 6400

Q.3) Suface area of cube is 294 cm².

Step-by-step explanation:

Q.2. 12 men are building a wall which is 8 m long, 6 m high and 22.5 cm thick using bricks. On this basis answer the following.

i. Find the volume of the cuboidal wall.

Length (l) = 800 mBreadth (b) = 6600 mHeight (h) = 22.5 cm

Substituting all the given values in the formula to find volume of cuboidal wall :

[tex] \begin{gathered}\qquad{\longrightarrow{\sf{V = LBH}}} \\ \\ \qquad{\longrightarrow{\sf{V = L \times B \times H}}} \\ \\ \qquad{\longrightarrow{\sf{V = 800 \times 600 \times 22.5}}} \\ \\ \qquad{\longrightarrow{\sf{V = 480000 \times 22.5}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{V = 1,08,00,000 \: {cm}^{3}}}}}}} \end{gathered}[/tex]

Hence, the volume of cuboidal wall is 1,08,00,000 cm³.

———————————————————————

ii. If the dimension of each brick is 25 cm × 11.25 cm × 6 cm, then find the volume of the brick.

Length (l) = 25 cmBreadth (b) = 11.25 mHeight (h) = 6 cm

Substituting all the given values in the formula to find the volume of cuboidal brick :

[tex] \begin{gathered}\qquad{\longrightarrow{\sf{V = LBH}}} \\ \\ \qquad{\longrightarrow{\sf{V = L \times B \times H}}} \\ \\ \qquad{\longrightarrow{\sf{V = 25 \times 11.25\times 6}}} \\ \\ \qquad{\longrightarrow{\sf{V = 281.25\times 6}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\pink{V = 1687.5 \: {cm}^{3}}}}}}} \end{gathered}[/tex]

Hence, the volume of cuboidal brick is 1687.5 cm³.

————————————————————

iii. How many bricks will be required to construct the cuboidal wall.

Volume of wall = 10800000 cm³Volume of brick = 1687.5 cm³

Substituting all the given values in the formula to find the number of bricks :

[tex] \begin{gathered} \quad{\longrightarrow{\sf{No. \: of \: bricks = \dfrac{Volume \:of \: wall}{Volume \: of \: brick}}}}\\ \\ \quad{\longrightarrow\sf{No.\: of \: bricks = \dfrac{10800000}{1687.5}}} \\ \\ \quad{\longrightarrow{\sf{No. \: of \: bricks = \cancel{\dfrac{10800000}{1687.5}}}}} \\ \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{No. \: of \: bricks = 6400}}}}}}\end{gathered}[/tex]

Hence, 6400 bricks will be required to construct the cuboidal wall.

———————————————————————

Q.3 The volume of a cube is 343 cm³. Fibd its surface area.

Surface area = 294 cm²

For clear understanding please check the given attachment.

[tex]\rule{300}{2.5}[/tex]

select all numbers that are rational
a. 8.23234231
b. 1/23
c. 5.12121212
d. -0.129
e. -0.9
f. 4.62

Answers

Answer:

All the numbers are technically, rational.

Step-by-step explanation:

25% of 96 is what number? (solve using proportions)​

Answers

Step-by-step explanation:

refer the above attachment

Step-by-step explanation:

please mark me as brainlest

Find positive and negative coterminal angles for -240

Answers

Posotive=120. Negative= -600

Peppy Pets charges a flat fee of $30 plus $6 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $42 plus $2 per hour. For how many hours is the total fee charged by the companies the same?.

Answers

Answer:

3 hours for the total fee charged by both companies to be same.

explanation:

let the time ( hours ) to be same be xthey charge extra money so it will be addition.

solve:

→ 30 + 6x = 42 + 2x

→ 6x - 2x = 42 - 30

→ 4x = 12

→ x = 3

A section of fence is 2 feet wide. How many sections are needed to make a 9 foot fence?

Answers

Answer:

2 feet times nine equals 18

SOLVE THE EQUATION 25+n(20)=175

Answers

Answer:

n=15/2

Step-by-step explanation:

25+n(20)=175

n(20)=175-25

20n=150

n=150/20

n=15/2 ans...

Correct answer will have the brainliest answer look at the image pls.

Answers

Answer:

so sorry if i get this wrong, i haven’t done these in a while but, i think it’s (b)

Step-by-step explanation:

State all integer values of x in the interval −6≤x≤−1 that satisfy the following inequality:

3x−4≤−18

Answers

Answer:

-5 and -6

Step-by-step explanation:

3x - 4 ≤ -18

add 4 to each side:

3x ≤ -14

divide each side by 3:

x ≤ -14/3 or x ≤ -4 2/3

Possible Solutions:

-6, -5, -4, -3, -2, -1

Only solutions which are less than -4 2/3 are:  -5 and -6

Use whichever method you choose to solve the system of equations: x + y = 6 and 3x + 5y = 26

Answers

Substitution is the easiest

Answer:

x = 7

y = 1

Step-by-step explanation:

[tex]x + y = 6 - - - - - (1)\\ 3x + 5y = 26 - - - - - - (2) \\ \\ \\ from \: equation \: (1) \\ collect \: like \: terms \\ y = 6 - x \: - - - - - (3) \\ substitute \: equation \: 3 \: into \: (2) \\ 3x + 5(6 - x) = 26 \\ 3x + 30 - 5x = 26 \\ collect \: like \: terms \\ 3x + 5x = 30 + 26 \\ 8x = 56 \\ x = \frac{56}{8 } \\ x = 7 \\ substitute \: x = 7 \: into \: equation \: (3) \\ y = 7 -6 \\ y = 1[/tex]

If Krista wants the pen to be four times the area it is now

(5 feet long by 4 1/2 feet wide), what are two ways she could change

the length and/or width to give her that new area?

What would the new area be?

Answers

The two ways she could change the length and/or width are;

Multiply the length by a factor of 4 while leaving the width constantMultiply the width by a factor of 4 while leaving the length constant

The new area of the pen would be; 90ft²

Area of a pen

The dimension of the pen given is;

5 feet long by 4 1/2 feet wide

Hence, the initial area of the pen is;

5 × 4.5 = 22.5 ft².

Hence, to make the pen four times it's present area; Krista may multiply either of the length or width by a factor of 4.

And hence, the new area is; 22.5 × 4 = 90ft²

Read more on Area of a pen;

https://brainly.com/question/25292087

A Choir has
30 total members.
14 are boys.
How many are girls?
Choose the answer that shows the ratio of boys to girls in simplest form.
8
-10 12
о
8
15
o
7
15

Answers

Answer:

there are 12 boys because 32/8 =4 and the ratiots 3 to 8 which means you need to multiply 3 by 4 which gives you 12

Step-by-step explanation:

9) The length of the shorter leg of a 30° -60° - 90° triangle is 24 meters. Find the length of the hypotenuse.

Answers

Answer:

48 meters

Step-by-step explanation:

Shorter leg will be the side opposite to the angle measuring 30°. Using sin trigonometric ratio the length of hypotenuse can easily be obtained.

[tex] \sin 30 \degree = \frac{length \: of \: shorter \: leg}{length \: of \: hypotenuse} \\ \\ \implies \: \frac{1}{2} = \frac{24}{l(hypotenuse)} \\ \\ \implies \: {l(hypotenuse)} =2 \times 24 \\ \\ \implies \: {l(hypotenuse)} =48 \: m[/tex]

- 19/20 divided by .45

Answers

-2.1 should be it, sorry if its wrong!

Answer:

2.11 Repeating

Step-by-step explanation:

Hope is right

What is -7/15 - -7/9? Show your work

Answers

Answer:0.3111111111111 is the answer

Step-by-step explanation:

ind the least common denominator or LCM of the two denominators:

LCM of 15 and 9 is 45

Next, find the equivalent fraction of both fractional numbers with denominator 45

For the 1st fraction, since 15 × 3 = 45,

7

15

=

7 × 3

15 × 3

=

21

45

Likewise, for the 2nd fraction, since 9 × 5 = 45,

7

9

=

7 × 5

9 × 5

=

35

45

Add the two like fractions:

21

45

+

35

45

=

21 + 35

45

=

56

45

So, 7/15 + 7/9 = 56/45

In mixed form: 1

11

45

CAN SOMEONE PLEASE HELP ME PLEASE PLEASE!!!

Answers

Step-by-step explanation:

this is really simple : we only need to put the given x and y coordinate values into both equations and see, if both equations remain true.

(-2, -1) means x = -2, y = -1

first equation :

-1 = 3×-2 + 5 = -6 + 5 = -1

so, -1 = -1

true.

second equation :

-2 + -1 = -3

-3 = -3

true.

therefore, (-2, -1) is a solution to the linear system.

the point is the crossing point of both lines.

Is x=12 a solution to the given inequality x > 5

Answers

Answer: True

Step-by-step explanation:

Substitute 12 for x in the inequality

x > 5

12 > 5

12 is greater than 5 so x = 12 is a solution to x > 5

Kindly solve my question

Answers

Answer:

(a) AA Similarity using alternate interior angles

(b) 6.3

Step-by-step explanation:

(a)

Triangles ABD and BDC have a given pair of congruent angles, angles ABD and BCD.

With parallel lines AB and DC and transversal BD, then alternate interior angles ABD and BDC are congruent.

Now we have two pairs of congruent corresponding angles, so by AA Similarity, triangles ABD and BDC are similar.

(b)

Triangles ABD and BDC are similar.

The ratios of the lengths of corresponding sides are equal.

AB/BD = AD/BC

4/6 = 4.2/BC

4BC = 6 × 4.2

BC = 6.3

Find the missing variable. 3k+4(-k+2)=14k-22

Answers

Answer:

k=2

Step-by-step explanation:

Expanding gives

[tex]3k-4k+8=14k-22[/tex].

Further simplification yields

[tex]-k+8=14k-22[/tex]

[tex]15k=30[/tex]

[tex]k=2[/tex].

Step-by-step explanation:

Use the Distributive Property:

[tex]3k - 4k + 8 = 14k - 22[/tex]

[tex] - k + 8 = 14k - 22[/tex]

Add k to both sides:

[tex]8 = 15k - 22[/tex]

Add 22 to both sides:

[tex]30 = 15k[/tex]

Divide each side by 15:

[tex]2 = k[/tex]

Carla’s team won 3 of its 5 games played. Elena’s team won games at the same rate. How many games were played if Elena’s team won 12 games?

Answers

3/5=12/x

reciprical of both sides

5/3=x/12

times twelve on both sides

x=20

Answer:

7.2 games, 2.4 times rate.

Step-by-step explanation:

Carla's team won 3 of 5 games which is 3/5 aka 60%.

Elena's team won games at the same rate which means Elena's team won about 7 games since it's 7.2/12 (60%). They won at the rate of 2.4 times while Carla wins at 3/5 rate.

Eighty percent of students in your school own a bike. Of a sample of students in your school, the ratio of students who own a bike to students who do not own a bike is 8 : 2. Does the sample closely estimate the percentage of students in your school who own a bike? yes or no

Answers

Answer:

Yes, the sample's estimation about the percentage is accurate.

Answer:

yes

Step-by-step explanation:

It does because 10 would be 100% 8 is 80% and 2 is 20% that is why it closely estimates the percentage.

Is it possible to draw a triangle with angles 150, 20 and 50

Answers

Answer:

no

Step-by-step explanation:

because the sum of the angles of a triangle should = 180, and adding these numbers together give  a greater result of 220 degrees

i need help with this​

Answers

Answer:

87

Step-by-step explanation:

75% is essentially the same as 0.75

0.75 times 116 is 87.

Answer:

It is 87

Step-by-step explanation:

75% can also be written as 0.75 so

116×0.75 is 87

Find the value of x. Round your answer to the nearest tenth.


Answers

Answer:

The value of x is 2

Step-by-step explanation:

Given;A right angled-triangleTo Find;The value of x

Now,

tan 27 = 1/x

0.5 = 1/x

x = 1/0.5

x = 2

Thus, The value of x is 2

-TheUnknownScientist 72

Find the area of the triangle then round the answer to the nearest tenth (please help!!!)

Answers

Answer:

A = 2298.48

Step-by-step explanation:

The right triangle with the 35angle. you need to find the height of that triangle which is the adjacent side and the opposite side is 44

tan 35° = opposite/ adjacent

[tex]tan 35 = \frac{44}{x}[/tex]

[tex]tan 35(x) = 44[/tex]

[tex]x = \frac{44}{tan 35}[/tex]

x = 62.83  ≈ 62.8

Using the 25° angle, you have the height which is 62.8 and looking for the side opposite the 25° angle.

So  tan 23° = x/adjacent side

[tex]tan 25= \frac{x}{62.8}[/tex]

[tex]tan 25(62.8)= x[/tex]

29.28 ≈29.2                A = 1/2bh ;  A = 1/2 (44 + 29.2)(62.8) ;  A = 2298.48

50 Points and if you want to ask me something about my questions then please tell me under the comment section at the question not answering and asking something.

Show your steps of the conversion of the decimal numbers write in your own steps.

1. 3



2. 8



3. 15



4. 18



5. 33



6. 49



7. 64


8. 108


9. 251

Answers

Answer:

3=3.0

8=8.0

15.0

18.0

33.0

49.0

64.0

108.0

251.0

Step-by-step explanation:

Basically writing to one decimal place

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