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 question is a image pls answer this​

Answers

Answer:

Shade in the following boxes: 24, -9.0, 1, 0, and 35

Step-by-step explanation:

Integers are whole numbers (not fractions or decimals) that can be positive or negative.

Simplify the expression where possible.

( t ^9 ) ^-8

Answers

Answer:

1/t^72

Step-by-step explanation:

this is in the simplest form

There were 7 roses in the vase. Melanie cut some more roses from her flower garden. There are now 12 roses in the vase. How many roses did she cut?

Answers

hi <3

just subtract the two values

12-7 = 5

she cut 5 roses.

hope this helps :)

Answer:

5

Step-by-step explanation:

12-7=5 so so she cut 5 from her garden.

What is the square root of 8 rounded to the nearest hundredth

Answers

Answer:

2.83

Step-by-step explanation:

The square root of 8 rounded to the nearest hundredth is 2.83

Use the mean formula to write an equation to estimate x , the number of students who attended the fourth meeting.


c. Solve the equation in part (b) to find the number of students who attended the fourth meeting.


answer gets brainliest

Answers

The required formula to find the number of students who attended the fourth meeting is 80 = 56 + x

Using the mean formula, the number of students who attended the fourth meeting is 24

Formula to obtain the mean :

Mean = ΣX/ n

X = number of students that attended each meeting

n = number of meetings

X = meeting 1 + meeting 2 + meeting 3 + meeting 4

n = 4

Mean = 20

Let number of students who attended 4th meeting = x

Mean = ΣX/ n

20 = (18 + 21 + 17 + x) / 4

80 = 56 + x

x = 80 - 56

x = 24

Hence, 24 students attended the fourth meeting.

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Which statement is true about the two lines whose equations are given below?
y = 1/4x + 2
y = -4x + 9

A.The lines are parallel.

B.The lines are perpendicular.
C.
The lines intersect but are not perpendicular.
D
The lines coincide.

Answers

Hshehsh dhdbdnndjjdd

When are two geometric shapes considered similar?

Answers

Answer:

hope this helped :)

Step-by-step explanation:

Sometimes, two similar or congruent objects may be regarded as having a different shape if a reflection is required to transform one into the other. For instance, the letters " b " and " d " are a reflection of each other, and hence they are congruent and similar, but in some contexts they are not regarded as having the same shape.

Answer:

if their corresponding angles are congruent

Step-by-step explanation:

the sum of two numbers is 36. find the numbers whose sum of their square is in minimum

Answers

Answer:

512 is the minimum sum of the squares, when both numbers are 16.

Step-by-step explanation:

Make the two numbers equal. 16² + 16² = 256 + 256 = 512

Make the two numbers as far away as possible. 32² + 0² = 1024 + 0 = 1024.

The two numbers are 18 and 18 and the sum of their squares is 648 which is the minimum

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = x

Let the second number be = 36 - x

Now ,

The sum of two numbers = 36

So ,

For both the numbers to be in their minimum value , the number will be half the original number

So ,

2x = 36

Divide by two on both sides , we get

x = 18

So , the two numbers are 18 and 18

Now ,

The sum of the squares of numbers A should be minimum ,

So ,

A = 18² + 18²

A = 324 + 324

A = 648

Therefore , the sum of the squares of two numbers is 648

Hence , The two numbers are 18 and 18 and the sum of their squares is 648 which is the minimum

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

10. If the radius of a circle is 40 inches, what is the area of the circle? *

Answers

Answer:

The formular for the area of a circle is as follows;

[tex]area = \pi {r}^{2} [/tex]

r » radius, r is 40 in

[taking π to be 3.14]

substitute:

[tex]area = (3.14) \times ( {40)}^{2} \\ \\ { \boxed{ \boxed{area = 5024 \: \: in {}^{2} }}}[/tex]

15. the quotient of 5 and a number squared

Answers

Answer:

15/5=3 I looked it up on the site that starts with g and end with e

Step-by-step explanation:

Given the piecewise function shown below, select all of the statements that
are true.
F(x)= [-x+1, x <0]
[-2,x=0]
[x ² – 1, x > 0]

A) f(4) = 7
B) f(1) = 0
C) f(-1)=2
D) f(- 2) = 0

Answers

9514 1404 393

Answer:

  B, C

Step-by-step explanation:

The attached shows the function values for x={4, 1, -1, -2} are {15, 0, 2, 3}.

Statements ...

f(1) = 0f(-1) = 2

are correct.

A drawing class was assigned a final project where students had to choose one art medium and one subject. The teacher kept track of the types of projects submitted.
The probability that a student used chalk is 0.3, the probability that a student chose to draw a plant is 0.6, and the probability that a student used chalk and chose to draw a plant is 0.2.
What is the probability that a randomly chosen student used chalk or chose to draw a plant?

Answers

Using probability concepts, it is found that: 0.7 = 70% probability that a randomly chosen student used chalk or chose to draw a plant.

-----------------------------

I am going to treat the probabilities of these events as Venn probabilities, stating that:

Probability A: student used a chalk.Probability B: student chose to draw a plant.

-----------------------------

0.3 probability of a student using a chalk, thus [tex]P(A) = 0.3[/tex]0.6 probability that the student chose to draw a plant, thus [tex]P(B) = 0.6[/tex]0.2 probability of both, thus [tex]P(A \cap B) = 0.2[/tex].

-----------------------------

The probability of chalk or plant is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

From the bullet points:

[tex]P(A \cup B) = 0.3 + 0.6 - 0.2 = 0.7[/tex]

0.7 = 70% probability that a randomly chosen student used chalk or chose to draw a plant.

A similar problem is given at https://brainly.com/question/24231264

What do I do need help asp find the intercept

Answers

Answer:

y-intercept: 0

Step-by-step explanation:

Write it in slope-intercept form. Brainly removed my step-by-step explanation with lots of equations that took me a while to write on here so I'm just putting this for the explanation. Hope it suffices.

What is 3/4 divided 1/2

Answers

Answer:

.375

Step-by-step explanation:

When you divide by a fraction, you end up multiplying by the reciprocal:

3/4 ÷ 1/2 = 3/4 • 2/1

Now that it’s multiplication, you multiply straight across.

3•2 / 4•1 = 6/4

Then remember to reduce. Since both 6 and 4 are divisible by 2, divide both by 2.

6/4 = 3/2

Solve for t. Express your answer in simplest and exact form.

[tex]z=q_{1}t+t\frac{1}{2}ht^{2}[/tex]

Answers

Answer:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))

Step-by-step explanation:

Solve for t:

z = (h t^2)/2 + t q_1

z = (h t^2)/2 + t q_1 is equivalent to (h t^2)/2 + t q_1 = z:

(h t^2)/2 + t q_1 = z

Divide both sides by h/2:

t^2 + (2 t q_1)/h = (2 z)/h

Add q_1^2/h^2 to both sides:

t^2 + (2 t q_1)/h + q_1^2/h^2 = (2 z)/h + q_1^2/h^2

Write the left hand side as a square:

(t + q_1/h)^2 = (2 z)/h + q_1^2/h^2

Take the square root of both sides:

t + q_1/h = sqrt((2 z)/h + q_1^2/h^2) or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

Answer: t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))

PLSSS HELP! WILL MARK BRAINLIEST! reflections. IF YOU DON'T KNO PLS DON'T PUT ANYTHING. :)))
Study the points and corresponding images in the coordinate plane below.

Answers

Answer:

D

Step-by-step explanation:

x=4 is a vertical line so A and B are wrong.

D and D' are equidistant from the line of reflection so D is right

the width of rectangle is 2w, and the length is (w+5). the perimeter is 40 inches. what are the measurements of the rectangle?​

Answers

Width = 2w , Length = w+5 , perimeter = 40

Perimeter of rectangle = 2 (Length + Width)

P= 2 (L + w)

40 = 2 [ (w+5) + (2w) ]

40 = 2 ( 3w+5)

40= 6w +10

6w= 40 – 10

6w= 30

w = 30/6

w = 5

Width = 2w = 2(5) = 10

Length = w + 5 = 5+5 = 10

I hope I helped you^_^

Find the GCF of each set of numbers.
1. 6 and 9
2.4 and 8
3. 8 and 12
4. 6 and 15
5. 10 and 15
6. 9 and 12
7. 4 and 10
8. 5 and 20
9. 7 and 14
10. 8 and 11
11. 2 and 12
12. 9 and 21
help?

Answers

For 6 and 9 I know 3,2 is good and 2. 2,48,1

0.55 0.65 which one is greater

Answers

Ans

Step-by-step explanation:1/55<1/65

(1/55)/100) < (1/65)/100)

(1/(1/0.55) < (1/(1/0.65)

0.55> 0.65

Find the distance between the two points P(-7,-2) and Q(-1,6).
Round your answer to the nearest 10h if necessary.

Answers

Answer:

10

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-1 - (-7)]² + [6 - (-2)]²

√(6)² + (8)²

√(36) + (64)

√100

= 10

Alexander earns $11.50 per hour working at the nearby grocery store last week Alexander worked for 13 1/2 hours how much money did Alexander earn last week round your answer to the nearest penny.

Answers

Answer:mzxm m mccaca

Step-by-step explanation:s,cscbsmc msc cmca

11.50x13=155.25

Alexander earned $155.25 last week

Which numbers are irrational? Select all that apply.
A. 100
B. 36
C. 27
D. 47

Answers

Answer:

none

Step-by-step explanation:

All are rational numbers because each number can be expressed as the quotient of 2 integers:

100÷1

36÷1

27÷1

47÷1

Pls answer these questions

Answers

Step-by-step explanation:

Objective; Translating points

A translation is when we moving figures and points. We can represent a transformation algebraically and geometrically.

Algebracially:

[tex](x + h)[/tex]

where h is the amount of units we move right or left

and

[tex](y + k)[/tex]

where k is the amount of units we move up or down

For 1. We are asked to translate the figure 3 units up and 7 units to the left.

7 units to the left is the same as subtracting 7 . from x valyes. and 3 units up is is same as adding 3 units to the y values, so subtract 7 from every x coovalues. and add 3 to every y value. is

Our new coordinates

E is (-5,3) F is (-2,4) G is (-3,5) H is (-5,5).

2. 6 units right and 8 units up is basically add 6 to every x value and add 8 to every y value.

So our new coordinates is

T' (1,3)

U' (4,3)

V'(4,5)

W'(1,5)

(4 + 18 ➗3) x 4 - 3 evaluate each expression

Answers

Answer:

Step-by-step explanation:

(4 + 6) x 4 - 3

10 x 4 -3

40 -3

37

Answer:

37

Step by Step solution:

Using BODMAS

(4 + 6) X 4 - 3

10 X 4-3

40-3

37

can anyone help? please ​

Answers

Step-by-step explanation:

BCD = 180- 100 = 80

the opposite angles of a parallelogram are of equal measure

SO DAB = X = 80

The sum of all parallelogram angles = 360

360 - 160 = 200

200 equals the measure of angle ADC + ABC

ABC = ADC

200 = 2ABC

ABC = 100

ADB = DBC = 30

Y = 100 - 30 = 70

another way to find y is using the rule that says that the sum of the triangle ADB angles = 180

180 = 80 + 30 + y

y = 70

Write as a decimal:

Explain...

1 7/12​

Answers

Answer:

1 7/12 = 1.58

Step-by-step explanation:

If you divide 7 by 12, you will get 0.583... If you add 1 in the ones, that'll be

1.583... or 1.58.

Graph the solution set to this inequality. -2(x + 6)>-4x

Answers

Answer:

-2(x + 6) > -4x-2x - 12 > -4x4x - 2x > 122x > 12x > 6x ∈ (6, + ∞)

The graph is attached below

Answer:

[tex]x > 6[/tex]

Hope this help;):::

Only answer 10 please
Use the figure to answer the questions :)

Answers

Answer:

a, c, and e

Step-by-step explanation:

Plz help me solve this ill award brainly

Answers

Answer:

x = 25 Degrees

Step-by-step explanation:

74-49 to make 25. The 74 represents the who entire angle. The 49 represents the smaller bottom angle. To get the other angle you would subtract 49 from 74 to make 25 degrees.

a movie theater sold 48 child tickets the other 2 tickets it sold were adult tickets what is the ratio of the number of adult tickets to the numberbof child tickets ​

Answers

Answer:

1 to 24 or 1:24

Step-by-step explanation:

1.) First , divide 2 by 2

2.) divide 48 by 2

3.so, for every adult ticket, there were 24 child tickets

or 1:24

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