Hannah has a candle-making business, Hannah's Heavenly Scents.
She is
experimenting with the time it takes for her candles to burn. She has
one candle that is 16 cm tall and loses 2.5 cm in height every hour it
burns. She has another candle that is 12 cm tall and loses 1.5 cm in
height
every hour it burns.
Write a function for the height, T, of the taller candle in terms of the
number of hours it has burned, h.

Answers

Answer 1

Answer:

T = 16 - 2.5h

Step-by-step explanation:

The taller candle is 16 cm and loses 2.5 cm every hour

Equation for the taller candle:

T = 16 - 2.5h

Related Questions

Which graph represents a linear function?

Answers

Answer:

That graph in the picture is not linear

Step-by-step explanation:

The graph does not go up or go down the same each unit

Answer:

not linear

Step-by-step explanation:

if it was linear there would be a diagonal straight line.

linear indicates there is a consistent ratio of x values and y values.

A map is drawn using a scale of 1 centimeter to 25 kilometers.

What actual distance is represented by a map length of 3.2 centimeters?

Enter the correct answer in the box.

Answers

Answer:

3.2 cm on map represents 80 kilometers of actual distance.

Step-by-step explanation:

It is given that the scale is:

1 cm = 25 km

And we have to find the distance that will be represented by 3.2 centimeters of length on the map.

Let x be the number of kilometers represented by 3.2 cm

[tex]\frac{1}{25} = \frac{3.2}{x}\\x = 3.2 * 25\\x = 80[/tex]

Hence,

3.2 cm on map represents 80 kilometers of actual distance.

Joe is installing a light fixture on a wall using a 10 foot ladder. A flower garden is planted along the wall, so Joe must place his ladder 6 feet away from the wall. How high up the wall will his ladder reach?

Answers

Answer:

The ladder is 8 feet high up on the wall.

Step-by-step explanation:

Let the height up of the ladder on the wall be represented by h. The ladder leaning on the wall, wall and distance of the foot of ladder from the wall form a right angled triangle.

So, applying the Pythagoras theorem;

[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj 2/^{2}[/tex]

[tex]/10/^{2}[/tex] = [tex]/6/^{2}[/tex] + [tex]/h/^{2}[/tex]

100 = 36 + [tex]h^{2}[/tex]

so that,

[tex]h^{2}[/tex] = 100 - 36

   = 64

⇒ h = [tex]\sqrt{64}[/tex]

      = 8 feet

The ladder is 8 feet high up on the wall.

What is a function in math?

if you explain I will make you brainiest!

Answers

Answer:

A function is an equation in math that connects an input to a given output.

Step-by-step explanation:

Darius takes his family on an afternoon boat ride.
Going through York Canal, he drives 5 miles in 15 minutes.
Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed.
Which statement about the distances is true?

Answers

The statement that is true would be later on as he crosses Stover Lake, he drives 30 minutes at the same average speed. Hope this helps

What is the measure of \large \angle V?

Answers

Answer:

THe interior angles of any triangle equal 180

THerefore 48+87+v=180

48+87+v=180

87+v=132

v=45

Step-by-step explanation:

What is the midpoint of the class interval 800-999?

Answers

Answer:

899.5

Step-by-step explanation:

what’s 8.43 x 10^7 in standard form?

Answers

Answer: 84,300,000
Simply move the decimal place to the right 7 places

15 woman working 8 hours a day can harvest a cassava farm in 10 days. how long will it take 20 women working 5 hours a day to harvest the same farm​

Answers

Answer: 37.5

Step-by-step explanation To get the wander to this question, you should divide 15 by 8 to get the decimal number. Then, after you want to multiply that decimal 20 times. I hope this helped! And it would mean so much to me if I could have brainliest.

GUYS!!!!!!!!!!!!!!!!!! NEED HELP ASAP !!!!!!!!!!!!!!!!!

WHATS 1+1 ?!?!?!?! I CANT FIGURE IT OUT!!!!!!!!!!!!!

Answers

the correct answer or sum for 1+1 is 2 because if you take 1 thing and put it with another thing, you now both have 2 things

CSCB-CSCß-cos2B = 2-sinß

Answers

Answer:

more free points thanks bro

Step-by-step explanation:

ya yeet

Answer:

sin

Step-by-step explanation:

The longest leg of a right triangle is 12 feet and another side is 5 feet. Find the length of the remaining side.​

Answers

Answer:

10.98 (approximately)

if you wan the exact answer, type into the google search bar:

"sqrt 119"

Step-by-step explanation:

in a right triangle, the longest leg is called the hypotenuse. To find the missing side, you need to use the Pythagorean theorem.

"a^2+b^2=c^2"

c = the hypotenuse

a and be are the other legs.

plug in the numbers.

5^2+b^2 = 12^2

25 + b^2 = 144

b^2 = 119

b = 10.98 (approximately)

Cross multiply
23/3 / 21=

Answers

Answer:

161

Step-by-step explanation:

cancel 3 and 27 that gives u 7.

multiply 23 and 7 that gives u 161

how to convert 1 1/2

Answers

Answer:

3/2

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

2 × 1 = 2

Step 2

Add the answer from Step 1 to the numerator

2 + 1 = 3

Step 3

Write answer from Step 2 over the denominator

3/2

-2/5x-9<9/10 Solve the inequality. Please help. YOU'LL BE THE BRAINLYEST!!!

Answers

Answer:

x>-99/4

Step-by-step explanation:

Help me if your good at math,,,

Answers

Answer:

a. -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

h(r) = (2/3)r - 6

h(-9) is r = -9

Step 2: Evaluate

Substitute:                    h(-9) = (2/3)(-9) - 6Multiply:                        h(-9) = -6 - 6Subtract:                       h(-9) = -12

And we have our answer!

Answer:

a is correct

Step-by-step explanation:

Sarah tosses a coin and spins a spinner

Answers

Answer:

Good for her ig

Step-by-step explanation:

write the fraction or mixed number as a decimal
[tex]1 \times \frac{7}{8} [/tex]

Answers

The answer would be 0.875

how many times does 3 go into 8000

Answers

The answer is 2,666.66666

Answer:

a lot

Step-by-step explanation:

2666

Solve the system of equation 0.4x – 3y = 7

3x + 14y = 10 using Cramer's Rule.

Answers

Answer:

for 0.4x – 3y = 7

Step-by-step explanation:

The answer is Changes made to your input should not affect the solution:

(1): "0.4" was replaced by "(4/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (4/10)*x-3*y-(7)=0

STEP

1

:

           2

Simplify   —

           5

Equation at the end of step

1

:

   2                

 ((— • x) -  3y) -  7  = 0

   5                

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         3y     3y • 5

   3y =  ——  =  ——————

         1        5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x - (3y • 5)     2x - 15y

—————————————  =  ————————

      5              5    

Equation at the end of step

2

:

 (2x - 15y)    

 —————————— -  7  = 0

     5        

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        7     7 • 5

   7 =  —  =  —————

        1       5  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(2x-15y) - (7 • 5)     2x - 15y - 35

——————————————————  =  —————————————

        5                    5      

Equation at the end of step

3

:

 2x - 15y - 35

 —————————————  = 0

       5      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2x-15y-35

 ————————— • 5 = 0 • 5

     5    

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2x-15y-35  = 0

Equation of a Straight Line

4.2     Solve   2x-15y-35  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-15y-35  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/-3 so this line "cuts" the y axis at y=-2.33333

 y-intercept = 35/-15 = 7/-3  = -2.33333

Calculate the X-Intercept :

When y = 0 the value of x is 35/2 Our line therefore "cuts" the x axis at x=17.50000

 x-intercept = 35/2  = 17.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.333 and for x=2.000, the value of y is -2.067. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.067 - (-2.333) = 0.267 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.267/2.000 =  0.133

Geometric figure: Straight Line

 Slope = 0.267/2.000 = 0.133

 x-intercept = 35/2 = 17.50000

 y-intercept = 35/-15 = 7/-3 = -2.33333

Find the variance of: 2 4 5 6 7 9 10

Answers

Add 2 two time and add 1 three times then add 2 and then 1. Maybe

Answer:

s  =  7.811  ¯  6

Step-by-step explanation:

x =  2  + 4  +  5  +  6  +  7  +  9  +  10 /7

¯ x = 43 /7

s = ( 2 − 6.1 ) 2 + ( 4 − 6.1 ) 2 + ( 5 − 6.1 ) 2 + ( 6 − 6.1 ) 2 + (7 − 6.1 ) 2 + ( 9 − 6.1 ) 2 + ( 10 − 6.1 ) 2/ 7 − 1

s = 7.811 ¯ 6

Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.
To find the number of meters in 9,382 centimeters, move the decimal point 2 units to the right.
To find the number of kilometers in 6.39 decimeters, move the decimal point 3 units to the left.
To find the number of dekameters in 18 kilometers, move the decimal point 3 units to the right.

Answers

Answer:

To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.

Mark me brainliest if I am right...PLEASE

Answer:To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.

Step-by-step explanation:

a person is paying $10 per week to a friend to repay a $100 loan

Answers

Answer:

It would take the person 10 weeks to pay the friend back

Step-by-step explanation:

Don't know is this was the question :l

Answer:

y=-10x+100

Step-by-step explanation:

Please help im in the bathroom doing my Alger fa because I don’t want to go in person

Answers

Answer:

(8,-3)

Step-by-step explanation:

this is the point where the 2 lines intersect

Answer: 24

Step-by-step explanation: beacufg

The scale drawing below shows the length of a soccer field as 6 inches. The actual length of a soccer field is 300 feet. If the width of the field is 180 feet, then what should the width of the scale drawing be in inches?

Answers

Answer:

width of the scale 10.8 inches

Step-by-step explanation:

8lb ham for $9.60 or 6lb ham for $7.50

Answers

Answer:

if ur asking which is a better deal, then it's the 8 lb ham for 9.60

Step-by-step explanation:

Answer:

8lb ham for $9.60

Step-by-step explanation:

Write an equation of a line perpendicular to y=-4x+9 that has a y-intercept of 7.
Use y=mx=b

Answers

Answer:

9

Step-by-step explanation:

easy

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!
1. How do you dilate a figure on the coordinate plane and determine its scale factor?
2. How do you determine if polygons are similar?
3. Explain one way can you determine if two triangles are similar, without knowing all the angle
or side measurements.?

Answers

Answer:

1. You can look at side measurements. Angle measurements will not change so do not use them as reference. For example, if a rectangle has one side as 7 and the other 3, then the scale factor of a rectangle with a side of 21 and 9 would be 3, because 21÷7 is 3 or 9÷3 is 3.

2. You can determine a polygon is similar by having the same angles and/or similar sides.

3. All you need is one side and one angle if the angle and side are opposit each other, so a and A or b and B or c and C. If this is not represented in a problem then you can use 2 angles and 1 side or 1 angle and 2 sides to figure out if they are similar.

4. What are the different types of auto insurance
plans?

Answers

Answer:

auto liability coverage, uninsured and underinsured motorist coverage, comprehensive coverage, collision coverage, medical payments coverage and personal injury protection

Step-by-step explanation:

How does Indian reservation have an effect on the Right of Occupancy
please answer like this:
the indian reservation has an effect on the right of occupancy by....

then add your answer:)

Answers

Step-by-step explanation:

hope it was helpful....

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