A 9-inch candle burns down in 12 hours. After how many hours will it have burned
3 3/8 inches?

Answers

Answer 1

Answer:

4.5

Step-by-step explanation:

Use a proportion.

3 3/8 = 3.375

9 inch is to 12 hours as 3.75 inches is to x hours.

9/12 = 3.375/x

3/4 = 3.375/x

3x = 4 * 3.375

x = 4 * 1.125

x = 4.5

Answer: 4.5 hours

Answer 2

Using rate if a 9-inch candle burns down in 12 hours, the amount of hours  it have burned 3 ³/₈ inches is 4 ¹/₂ h

What is a rate?

Rate is the amount per unit time of a substance

Since a 9-inch candle burns down in 12 hours. To determine after how many hours will it have burned 3 ³/₈ inches, we proceed as follows.

.

First, we calculate the rate at which it burns which is given as r = Length of candle/time

Since

Length of candle = 9 in andtime = 12 hours

Substituting the values of the variables into the equation, we have that

r = Length of candle/time

r = 9 in/12 h

r = 3/4 in/h

To determine how many hours it would have burned 3 ³/₈ in, we have that

rate, r = Length/time

time = Length/rate

Since

Length = 3 ³/₈ in = 27/8 in andrate = 3/4 in/h

Substituting the values of the variables into the equation, we have that

time = Length/rate

= 27 in/8 ÷ 3/4 in/h

= 27/8 in × 4/3 h/in

= 9/2 h

= 4 ¹/₂ h

So, it will have burned for 4 ¹/₂ h

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Related Questions

which angles are alternate interior angles​

Answers

Answer:

2nd

Step-by-step explanation:because

Kasey is buying lunch and dinner for her friends this weekend. A lunch combo cost $8.50 and a dinner combo cost $13, If Kasey has $160 to spend then write an inequality that describes the situation.​

Answers

Answer:

8.50x plus 13y equals 160

Luke has a crate with a volume of 2160 cubic inches. The crate is 12 inches long and 18 inches high. Luke wants to put wooden boards into the crate. Each board is the same size as the board shown in the diagram.

Answers

18 blocks would fit in the Crate.

What is Volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

Volume of Crate= 2160 cubic inch

Now, Volume of each wooden board

= l b h

= 12 x 5 x 2

= 120

so, number of blocks = 2160/ 120

                                    = 18

Hence, 18 blocks would fit in the Crate.

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Luke can fit 18 wooden boards, each measuring 12 inches in length, 5 inches in width, and 2 inches in height, into the crate with dimensions 12 inches in length, 10 inches in width, and 18 inches in height.

Given that the crate has a volume of 2160 cubic inches and the dimensions are 12 inches in length, 18 inches in height, and an unspecified width.

Each wooden board has dimensions of 12 inches in length, 5 inches in width, and 2 inches in height, we can calculate how many wooden boards Luke can fit into the crate.

Let's denote the width of the crate as "w".

The volume of the crate is given by the formula: Volume = Length × Width × Height

So, 2160 = 12 × w × 18

Solving for "w":

w = 2160 / (12 × 18)

w = 10

Now that we know the width of the crate is 10 inches, we can calculate how many wooden boards can fit in the crate by comparing their dimensions.

Each wooden board has a volume of 12 × 5 × 2 = 120 cubic inches.

The total number of wooden boards that can fit in the crate:

Number of boards = Crate Volume / Board Volume

Number of boards = 2160 / 120

Number of boards = 18

Therefore, 8 blocks would fit in the Crate.

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please solve 7 thru 16 plz and thank you also I will give brainlest to best answer.​

Answers

for 16, 720/9= 80!!
so for that one, it’s 9.

720/3=240, so 3 as well. if you need the rest, let me know and i can do them off the app lol.

A number is multiplied by 3. Next, 6 is added to the product. Then, the sum is divided by 8. If the result is 6, what is the number?

Answers

Answer:

14

Step-by-step explanation:

14 x 3 = 42

42 + 6 = 48

48 ÷ 8 = 6

Therefore, the answer is 14.

Answer:

14

Step-by-step explanation:

let us call the number x for now

the number (x) is multiplied by 3 to give us

3x

then,

it is added to 6 to give

3x + 6

then, our sum is divided by 8:

(3x + 6) / 8

according to the question, the result is 6

therefore,

3x + 6 / 8 = 6

if we cross multiply,

3x + 6 = 8 ( 6 )

3x + 6 = 48

collecting like terms,

3x = 48 - 6

3x = 42

divide through by 3 to give

3x / 3 = 42 / 3

x = 14

therefore, x = 14

to reassure us of our answer,

since (3(x) + 6) / 8 = 6

and we know that x = 14,

therefore,

(3(14) + 6) / 8 = 6

(42 + 6) / 8 = 6

48 / 8 = 6

6 = 6

therefore, we are now sure that x = 14

hope this helps

thanks

You are making a scale model of a sports field. The
actual field is a rectangle with a length of 315 ft and a
width of 300 ft. Your scale model is 15 in. wide. What is
its length in inches?

Answers

Answer:

15.75 inches

Step-by-step explanation:

You can use a ratio to find your answer by cross multiplying.

300 ft        315 ft

----------  =  ----------

 15 in           x  in

Cross multiplying would give you:

300x = 15 x 315

300x = 4725

x = 4725 / 300

x = 15.75 inches

Janna wants to measure the height of a cliff. She finds that the shadow of the cliff is 48 meters. If Janna is 1.63 meters tall and her own shadow is measured as 2.38
meters, how many meters tall is the cliff? (Round your answer to two decimal places)

Answers

Answer:

Step-by-step explanation:

What is the value of a when the equation is 3x+6y=a?

Answers

Answer:

a = 3x + 6y

Step-by-step explanation:

You start by flipping the equation.

After that there is not enough information to solve for a.

Complete the statement.

Answers

Answer:

angle 4 = 56°

Step-by-step explanation:

Interior angles in the same side of the transversal are supplementary (their sum is 180°)

Angle 1 and 4 are interior angles on the same side of the transversal.

So, angle 1 + angle 4 = 180°

Angle 1 = 124° (given)

124 + angle 4 = 180°

angle 4 = 180° - 124° = 56°

Therefore, angle 4 = 56°

Hope it helps :)

What represents the recursive formula for the arithmetic sequence an=7-3(n-1)

Answers

Answer:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

Step-by-step explanation:

An arithmetic sequence could be defined using only two pieces of information:

The first term of this sequence, [tex]a_{1}[/tex].The common difference between two consecutive terms of this sequence, [tex]d[/tex].

The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:

[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].

Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].

When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:

[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:

[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].

the beach ball were packed 12 in each case .if 75 cases were delivered how many beach ball were there in all.

Answers

Answer:

900

Step-by-step explanation:

pls help I'm confused!​

Answers

Answer:

[tex]112\pi[/tex]

Step-by-step explanation:

hi! for this problem, all we need is the equation for the SA for a cylinder!

here's the equation: [tex]A=2\pi(r)(h)+2(\pi)r^{2}[/tex]

BUT FIRST let's identify our given numbers

the radius, or r, is 4 (r = 4) the height, or h, is 10 (h = 10)

now all we have to do is plug in what is given to the equation above! not so bad, right?

plugged in equation

[tex]A = 2\pi (4)(10) + 2\pi (4)^{2}[/tex]

- now let's simplify!

[tex]2\pi (40) + 2\pi (16)[/tex]

[tex]80\pi + 32\pi[/tex]

[tex]112\pi[/tex]

your answer should be [tex]112\pi[/tex]

comment or message me if you are still confused or have any questions :)

help please 25 points pleasssse

Answers

Distributive property

HOW to say 9,999,999,999 In word form how would you say it (SAY IT) if your 4th grades are smart and good for you but we are trying to find how to say 9,999,999,999 in word form (any grade can answer and lm fourteen)

Answers

Answer:

nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-nine

Answer:

nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-nine

Step-by-step explanation:

Hope it helped brainiest plz and thank you!!!!!!!!

Hats are on sale for 45% off. Phyllis uses the expression p−0.45p to find the new price of a hat that originally cost p dollars.Use the drop-down menus to complete each sentence.

Answers

Answer:

The expression p−0.45p can be simplified to  0.55 p.

This means Phyllis can find the new price of a hat by finding  55 % of the original price.

Step-by-step explanation:

The given expression describes that the price of the Hat would be 55% of the original price.

Given that,
Hats are on sale for 45% off. Phyllis uses the expression p−0.45p to find the new price of a hat that originally cost p dollars.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Given expression,
= p−0.45p
Simplify further,
= 0.55p
The above expression implies that the outcome is 55% of p, where p is the original price of the Hats.

Thus, the given expression describes that the price of the Hat would be 55% of the original price.

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triangle sum theorem and exterior angle theorem stuff need help pls this due by friday and 1st quarter about to end ​

Answers

Answer:

See below

Step-by-step explanation:

The Triangle Angle Sum Theorem states that the interior angles of a triangle always add up to 180°. The Exterior Angle Theorem states that an exterior angle of a triangle is equal to the sum of the two remote interior angles (see diagram).

4/5+8/9 (don’t mind this)

Answers

Answer:

Excact Form

76/45

Decimal Form

1.68 The 8 repeates itself

Mixed Number

1 31/45

Step-by-step explanation:

To add fractions, find the least common denominator and then combine

Help if u understand pleas and thanks

Answers

Answer:

3f

Step-by-step explanation:

f+f+f=3f

since every f has the same value

example

2+2+2=3(2)

6=6

Answer:

3f

Step-by-step explanation:

There are three f's added together, which makes 3f. If you had multiplied them all it would've been f^3, if you had divided f by 3 you would have f/3, and if f=1 it would've just been 3. This is why 3f is the best answer here.

Hope this helps :)

The price of a dress was reduced from $40 to $30. By what percentage was the price of the dress reduced? STEP BY STEP

Answers

Answer:

The price was reduced by 25%

Step-by-step explanation:

Not sure how to go step by step on this, because it's kinda obvious once you think about it a bit. You need to find what percent of 40 that 10 equals (if that  makes sense). So really it's just what percent of 40 equals 10? and since 10 is one fourth of forty, 1/4, then you convert that to percent: 25% (sorry if this made no sense, i'm not very good at explaining things)

PLSSSS HELP ME WITH THIS QUESTION, IM DESPERATE PLSSSSS

Answers

Answer:

979

Step-by-step explanation:

d+{a×(n-1)}

-11+(10×99)

It’s h since 10 times 100 is 1000 you take the negative 11 and combine them leaving you with 989

What do you do in your free time? :D

Answers

Answer:

sleep most definitely worth it

Answer:

heyyy

Step-by-step explanation:

I eat and watch TV. i also like drawing, and math a lot so i do those things too. I also kinda like sudoku LOL

NEED THIS ASAP PLEASE HELP
The variables x and y in the figure represent the measures of angles.

Solve for x and y.

Answers

Answer:

y=45  x = 63

Step-by-step explanation:

ill type it if u need it

x= 90-27
x=63

2y=90
y=90/2
y=45

The formula used to convert degrees Celsius to degrees Fahrenheit is

F = C +32

Convert 68°F to degrees Celsius. Solve the formula for C, and then use it to

convert the temperature.

Which is the correct formula and conversion?


A. C= F-32; conversion: 68°F = 180°C

B. C = (F- 32); conversion: 68°F = 122°C

C. C= 5(F- 32); conversion: 68°F = 20°C

D. CE F-32; conversion: 68°F = 20°C

O

O

Answers

Answer:

C.

Step-by-step explanation:

The formula to convert C° to F° is C = 5(F-32)

Sandra drove 117 miles in an hour and 30 minutes to visit her son at college, without stopping. If the speed limit is 60 mph, explain why she should or should not get a speeding ticket. Make sure to include mathematical computations in your answer.

Answers

Answer:

She should get a speeding ticket. The speed limit is 60mph and her speed was 78 mph, 18 miles over the speed limit.

Step-by-step explanation:

She drove 117 miles in 90 minutes.

117/90 = 1.3 miles per minute

1.3 miles x 60 minutes = 78 mph

if eight was subtracted from the product of a number and five, the result is four more than the number. write an equation and solve to find the number

Answers

Answer:

3

Step-by-step explanation:

Let the number be x

5*x=5x

5x-8= 4 + x

4x =12

x= 3

76.6, 25.5 and 10.87 estimated sum and actual sum?

Answers

estimated sum-114, actual sum-112.97

Step-by-step explanation:

76.6-77

25.5-26

10.87-11

77+26+11=114

76.6+25.5+10.87=112.97

Myra spends $68.24 on movies. She spends 1/4 of the money buying movies online, and the rest on DVDs. If each DVD cost $17.06, how many DVDs does Myra buy?

Answers

Answer:

She bought 3 DVDs because $17.06 is 1/4 of $68.24

3х - у = 13
у = 2х - 7

Answers

Answer:

y=3x-13

Step-by-step explanation:

where do u get the 2?

Answer:

x=6 y=5

Step-by-step explanation:

use substitution because they y variable is already in the correct form for substitution

please someone help meee. Giving brainliest!!

Answers

B and D are perfect squares.

Simply plug [tex]\sqrt{81}[/tex] and [tex]\sqrt{144}[/tex] into a calculator.

B explanation:

9 x 9 = 81

D explanation:

12 x 12 = 144

is 5x+y^2=25 a linear equation

Answers

Answer:

I don't think it is

Step-by-step explanation:

I checked with desmos graphing calculator and the line produced is a parabola. I believe the y^2 made it into a parabola

No,  5x+y^2=25 is not a linear equation.

What is termed as the linear equation?A linear equation is one in which the variable's highest power is always 1. A one-degree equation is another name for it. A linear model in one variable has the standard form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation throughout two variables has the standard form Ax + By = C.

For the given equation;

5x+y^2=25

the highest power of the equation is 2.

Thus, the given equation is a quadratic equation or 2 degree equation.

Therefore, the given equation is not a linear equation.

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