two candles, each initial length of 30cm, are 20cm apart. the thinner candle burns at a rate of 1cm every 8 minutes and the other candle burn at a rate of 1 cm every 10 minutes. find two possible lengths for the distance between the tops of the two candles, if the candles can burn up for 3 hours.

Answers

Answer 1

Thinner candle:

y = length of the candle

x = rate it burns at every minute

y = -1/8x + 30

Thicker candle:

y = length of the candle

x = rate it burns at every minute

y = -1/10x + 30

To find the length after 3 hours:

y = -1/8(180) + 30

y = -1/10(180) + 30


Related Questions

The coordinate midpoint for AE

Answers

I dunno what your question ask

The endpoints of ST are -15 and 25. Find the coordinate of the midpoint M

Answers

Answer: 5

Step-by-step explanation:

The coordinate of the midpoint M = 5

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment ST, where the length of line segment ST  refers to the distance between its endpoints, S and T.

Given that M is the midpoint of ST

S______________M______________T

What is Midpoint?

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

The endpoints of ST are -15 and 25.

So the midpoint between S and T is given by,

⇒ M = (25 - 15)/2,

⇒ M = 10/2

⇒ M = 5

Hence, the coordinate of the midpoint M = 5

Learn more about the midpoint here :

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22. Jesse's fish hook was 12 feet below the top of the water. He let out
some of his line, and the hook sunk another 3 feet. What is the depth of the
fish hook now? Write an addition problem, and then give the answer.

Answers

9514 1404 393

Answer:

  15 ft below the top of the water

Step-by-step explanation:

We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:

  -12 +(-3) = -15

The depth of Jesse's hook now is 15 feet below the water surface.

1) 5* + 5* +1 + 5x + 2 = 155​

Answers

Answer:

24.8

Step-by-step explanation:

solution,= 5+5+1+5x+2=155=ADD ALL THE NUMBER REMSIN 5X BECAUSE IT IS NOT COMMON=13+5x=155now take 13 to the next side it will be +13=-13=5x=155-13

=5x=142= now take 5x to another side it will divide 142=x=142÷5x=28.4 please make me Brainlist

The expression 6s^2 can be used to find the surface area of a cube whose side length is s. Find the
surface area of a cube whose side length is 4 inches.

Answers

The answer is:

6s^2

6(4)^2

6(16)

The answer is 96

Find the value of the variable
X=

Answers

Answer:

X=20º

Step-by-step explanation:

This is a vertical angle meaning both sides are congruent to each other.

Meaning: (x+100)º= 6x

Solve:

(x+100)º= 6x

-x              -x

100º=5x

/5 .     /5

x=20º

X=20 I think not sure

please find value of x and y​

Answers

Answer:

X=x=−5y/3

y=x=−5y/3

Step-by-step explanation:

2x+y/3⋅1/x−3y=1/3⋅1/2=x=−5y/3

Answer:

x = [tex]\frac{5}{7}[/tex] , y = - [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Given 2 equal matrices then the corresponding elements in each matrix are equal, then

2x + y = 1 → (1)

x - 3y = 2 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate y

6x + 3y = 3 → (3)

Add (2) and (3) term by term to eliminate y

7x + 0 = 5

7x = 5 ( divide both sides by 7 )

x = [tex]\frac{5}{7}[/tex]

Substitute this value into (1) and evaluate for y

[tex]\frac{10}{7}[/tex] + y = 1 ( subtract [tex]\frac{10}{7}[/tex] from both sides )

y = [tex]\frac{7}{7}[/tex] - [tex]\frac{10}{7}[/tex] = - [tex]\frac{3}{7}[/tex]

If you give me the right answer the points are yours

Answers

Answer:

-5+2

-3

Step-by-step explanation:

We start with -5 then add 2

-5+2 = -3

Step-by-step explanation:

Expression = -5 + 2

Sum = -5 + 2 = 3

How did I do this ????

Answers

Answer:

I know the first one is 6, since there's 6 sides

The second one should be Plane BDHF, since those two are exactly the same

Don't know the third one

The fourth should be segments AC, EG, and FH since they're all the same

what number is farther away from 2,300? -125 or -220
subject: math

Answers

Answer:

-220

Step-by-step explanation:

2,300-1 then we go into the negatives 0- -2,300

so if -5 is further from 0 than -4 that means the larger number is further

Find length
__
AB

A:-6
B: 8

Answers

To find the distance between those two points you would need to

do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.

Answer:

14 = AB

Step-by-step explanation:

When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers

or you can set up the expression---

| -6-8 |

which equals

| -14 |

or

14

because 14 is the same as | -14 |

Which is true about the polynomial 3x - 4 + 5x2?

A
It is a binomial with a degree of 2.
B
It is a trinomial with a degree of 2.
C
It is a binomial with a degree of 3.
D
It is a trinomial with a degree of 3.

Answers

Answer:

b its a trinominal with a degree of 2

The polynomial, 3x - 4 + 5x², is a trinomial with a degree of 2.

What is a polynomial?

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

We have the polynomial,

3x - 4 + 5x²

To find the degree of a polynomial:

We take the highest powered variable, and the order of that variable is equal to the degree of the polynomial.

Here, the highest power is 2.

So, the degree is 2.

And the polynomial has three terms.

So, the polynomial is trinomial.

Therefore, it is a trinomial with a degree of 2.

To learn more about the Polynomials;

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Find the 35th term in the arithmetic sequence 3, 9, 15, 21, …​

Answers

Answer:

208

Step-by-step explanation:

First term = a = 4

Common difference = d = a2 - a1 = 9 - 3 = 6

35th term = a + (35 - 1)d

4 + (35 - 1)6

4 + (34)6

4 + 204

208

Answer:

207

Step-by-step explanation:

An=A1+(n-1)×R

A35=3+(35-1)×(9-3)

A35=3+34×6

A35=3+204

A35=207

CALLING ALL EXPERTS, PLEASE HELP ME WITH MY HOMEWORK!! WORTH A LOT OF POINTS AND WILL GIVE BRAINLIEST!!

Answers

Answer:

1= 1 7/8 or 1.875

2= 235.75

3= 10 1/2 or 10.5

4=191.53

5=1 5/12 or 1.4166667

6=239.13

hope this helps

Answer:

1.

[tex] \frac{9}{4} [/tex]

2. 235.75

3.

[tex] \frac{21}{2} [/tex]

4. 191.53

5.

[tex] \frac{17}{12} [/tex]

6. 239.13

Step-by-step explanation:

1.

[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]

2. 168.45 + 67.3 = 235.75

3.

[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]

4. 249.6 - 58.07 = 191.53

5.

[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]

6. 334.16 - 95.03 = 239.13

Convert 6.350 to a fraction

Answers

Answer:

[tex]6 \frac{350}{1000}[/tex] Is the answer, if you want it simplified then, [tex]6 \frac{7}{20}[/tex]

Step-by-step explanation:

Answer:

[tex]{ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}[/tex]

Step-by-step explanation:

Hope you got the idea in previous answer.

[tex]6.350 = \frac{6350}{1000} [/tex]

reduce the fraction by 10:

[tex] = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} [/tex]

then reduce it by 5:

[tex] = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} [/tex]

in mixed fraction mode:

[tex] = 6 \frac{7}{20} [/tex]

Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)

Answers

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

[tex]\displaystyle y = -x^2 + 2x + 1[/tex]

Recall that the vertex is given by the formulas:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 2, and c = 1.

Determine the x-coordinate of the vertex:

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

To determine the y-coordinate, evaluate the function at x = 1:

[tex]\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}[/tex]

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

-m/3=-4
m?
Yeah i need to figure out how to do this one

Answers

Answer:

assuming that this is just an algebra problem and not some graphing

problem that you are trying to fin the slope vale m in y-mx+b

-m/3 = -4

-m = -4*3

-m = -12

m=12

Step-by-step explanation:

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

Answer:

31 yards

Step-by-step explanation:

If she has $12.83 left, that means she spent $2.17 out of the $15

15 - 12.83 = 2.17

One cent is .01 of a dollar

So that would be $0.07 per yard

To find the number of yards, we need to divide the total amount she spent by the price per yard.

2.17 ÷ 0.07 = 31

find the missing endpoint endpoint h (-1,0) midpoint p(0,-1)​

Answers

Answer:

Step-by-step explanation:

Let the other end point be (a,b)

Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)

So

(0,-1) = ( (-1+a)/2 , (0+b)/2)

So we have

0 = (-1 +a) /2

0 = -1 + a

a =1

and

-1 = (0+b)/2

-2 = 0+b

b = -2

So the other end point is ( 1, -2)

Bottled Juice Canned Juice Time (minutes) Cases packaged V 110 100 90 80 2 Cases 92 70 60 50 40 30 20 10 3 138 184 1 2 3 4 5 6 7 8 9 10 11 Minutes Fill in the blanks to compare the unit rates at which the cases are filled. I 1. What is the unit rate for bottled juice, in cases per minute? Explain how you found this unit rate. Write your answer in the space below. 2. what is the unit rate for canned juice, in cases per minute? explain how you found this unit rate. 3. are cans or bottles packaged at a faster rate?​

Answers

Answer:

320  

Step-by-step explanation:

hope this helps :)

Help me with this please

Answers

Answer:

it is a function

because when we will draw vertical line . then the line will touch at only one point

A car is traveling 90 miles per hour. How fast is it traveling in miles per minute?​

Answers

Answer: 1.5 miles per minute

Step-by-step explanation:

The ratio for the hours is 90 Miles : 60 Minutes

Since 1 hour is 60 minutes, then 1 minute is 1/60 of a hour.

So, 1/60 will be the constant.

[tex]\frac{90}{1/60}[/tex]=1.5

how would i write The difference of three times a number and 4 is -19 in a equation?

Answers

Hi! I'm happy to help!

To solve this, we first have to understand the terms and the way they arrange the equation.

First, we have the difference of ____and_____=. (the "is" after 4 refers to equals)

We will write this as:

_______-_______= ,because difference means subtraction.

For our first blank, we have 3 times a number. Because we do not know this number, we will use a variable.(n) 3 times a number is 3 multiplied by a number. We can just write 3n, because it represent multiplication.

3n-______=

Now, we see the part of the equation after the "and". We just see 4, so we can insert that here:

3n-4=

Now, we see what is shown after the "is".

We just have -19, so we can insert that here:

3n-4=-19

Now, let's solve (not sure if I need to):

To solve for n, we have to isolate it on one side of the equation. To do this, let's cancel out the -4 on the left side of the equation by adding 4 to both sides:

3n=-15

From here, we need to get rid of the 3 next to the n by dividing both sides by 3:

n=-5

So, we write it as 3n-4=-19, and n=-5.

I hope this was helpful, keep learning! :D

Evaluating an Expression
Evaluate (15 - 4x) + 5 when x = 3.

Answers

Answer:

8

Step-by-step explanation:

(15-4x)+5

(15-4(3))+5

(15-12)+5

3+5=8

Answer:

seven

Step-by-step explanation:

Sandi got 1/1/4 pounds of gummy worms if she left the store with 3 pounds of gunmys worms and skittles ,how many pounds of skittles did she get

Answers

Answer:

1 3/4 lbs of skittles

Step-by-step explanation:

Easy way: 3lbs - 1 1/4lbs = 1 3/4lbs

Complex way:

(I'm assuming "1/1/4" means "1 1/4")

This is simply ~Subtraction~

The total is 3lbs(t) and 1 1/4 of that 3lbs is gummy worms(g). What is left of the 3lbs is skittles(s).

So we need to know what added to 1 1/4 equals 3.

Equation: t= 1 1/4 + s

Equation: t= 1 1/4 + s

We can replace (t) with 3 because we know this variable.

1. 3= 1 1/4 + s

To isolate the variable (s) we need to subtract 1 1/4 on both sides of the equation

2. 3(- 1 1/4)= 1 1/4(- 1 1/4) + s

The right side cancels out = 0 and the left = 1 3/4

3. 1 3/4= s

Flip it around for the traditional view

4. s = 1 3/4

In word form: Skittles equal 1 3/4 (don't forget to add lbs or pounds back into the final answer)

How many Christmas trees were sold on sat and sunday?

Answers

Hello :D

Let's form an equation:

x/5 = 27

Let's form another equation:

(x+y)/7 = 34

Rearrange equation one so it is x = 27 x 5 = 135

Now we can substitute this value into equation 2:

(135 + y)/7 = 34

135 + y = 238

y = 238 - 135

y = 103

Answer is 103

Answer:

103 christmas trees.

Step-by-step explanation:

total trees sold in the first five days:

[tex]27 \times 5 = 135[/tex]

total trees sold in this week:

[tex]34 \times 7 = 238[/tex]

The answer is:

[tex]238 - 135 = 103[/tex]

A rectangle has perimeter 70 cm and length 29 cm. What is its width?

Answers

Answer:

6 cm

Step-by-step explanation:

70=29+29+2x

70=58+2x

70-58=2x

12=2x

12/2=x

6=x

Check: 29+29+6+6=70

Answer:

6 centimeters.

Step-by-step explanation:

The equation to find perimeter is P=2L+2W. L is length and W is width.

70=2(29)+2W

70=58+2W

70-58=2W

12=2W

6=w

These circles are:
A. concentric
B. none of these
C. tangent
D. congruent

Answers

They are tangent to eachother as they intersect at one place and one place only.

These circles are tangent .

What is tangent of two circles?

Two circles are tangent to each other if they have only one common point. Two circles that have two common points are said to intersect each other. Two circles can be externally tangent if the circles are situated outside one another and internally tangent if one of them is situated inside the other.

According to the question

These circles are :

A > Concentric

This option is incorrect because circle are concentric if and only if they have common center .

B> none of these

This option is incorrect .

C > Tangent

This option is correct as Two circles are tangent to each other if they have only one common point and in the figure there is only one common point between both circles .

D> Congruent

This option is incorrect as this two circles have different size but in congruent both circle should be same size which is not possible here.

Hence, These circles are tangent .

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A water pipe has an outside diameter of 1 1/4 inches and a wall thickness of 5/16 inches. what is the inside diameter of the pipe?

Answers

Answer:

Step-by-step explanation:

There's a small trick here. You have to double the thickness. Why? Because the outside diameter goes through the thickness twice.

Inside diameter = outside diameter - 2 * thickness

outside diameter = 1 1/4 inches

thickness = 5/16

Inside diameter = 1 1/4 - 2 * 5/16

inside diameter = 5/4 - 10/16

Inside diameter = 5/4 - 5/8

Inside diameter = 10/8 - 5/8

Inside diameter = 5/8

Help need help please

Answers

The distance between these two points is 4.24
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