Please explain your answer and show your work

Please Explain Your Answer And Show Your Work
Please Explain Your Answer And Show Your Work
Please Explain Your Answer And Show Your Work

Answers

Answer 1

9514 1404 393

Answer:

  A. 6b³

  B. 6b +6

  C. p = 0.0375(6b³ +b +1)

  D. $115.54

Step-by-step explanation:

Given:

  3 candles with dimensions b×b×b, b×b×2b, and b×b×3b

  with wicks of lengths b+2, 2b+2, 3b+2

  wick costs $0.005/cm; wax costs $0.03/cm³

  selling price is material cost + 25%

Find:

  A. an expression for total volume

  B. an expression for total wick length

  C. an expression for the purchase price of a set

  D. purchase price for a set with base area 64 cm²

Solution:

A. The sum of the volumes of the three candles is ...

  v = b³ +2b³ +3b³

  v = 6b³

__

B. The sum of the wick lengths is ...

  L = (b +2) +(2b +2) +(3b +2)

  L = 6b +6

__

C. The selling price is 25% more than the cost of materials so is ...

  p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375

  p = 0.0375(6b³ +b +1)

__

D. The side of the base is the square root of the base area, so is ...

  b = √(64 cm²) = 8 cm

Then the price of a set of candles is ...

  p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54

Purchase price for a candle set with a base area of 64 cm² is $115.54.


Related Questions

A video club costs $25 to join. Each video that is rented costs $2.50. Let v represent the
number of videos. Identify the independent and dependent variables. Then, write a rule
in function notation for the situation.

Answers

Answer:

Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25

Step-by-step explanation:

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Select all of the following that are quadratic equations.


1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7

Answers

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

) Emma already owns 8 hair bands, and additional hair bands are priced at 3 for a dollar.
How much money does Emma need to spend on new hair bands in order to own a total of
47 hair bands?

Answers

41•3= $123 hope it helped!

Answer:$15.66

Step-by-step explanation:

Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____.. a. $8.20 b. $10.30 c. $12.30 d. $16.40 Please select the best answer from the choices provided A B C D

Answers

Step-by-step explanation:

The approximate tip is - 12.30$

Because bill is 81.79$

and tip - 15%

therefore bill amount divided by 15/100

==> 81.79* 15% is 12.30$

11. In the diagrams below the rows of green tiles are surrounded by white tiles
Find a formula for the number of white tiles which would be needed to
surround a row of n green tiles.
Hii please help!!! Show work ​

Answers

Step-by-step explanation:

There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.

Common difference = (16-12)/(5-3) = 2.

Hence number of white tiles = 2n + 6.

Which of the following functions best describes this graph?
A. y = x^2 - 8x +18
B. y = (x+4)(x+5)
C. y = x^2 -9x +20
D. y = (x-3)(x+4)​

Answers

Answer:

C

Step-by-step explanation:

Looking at the graph, we can see the roots at two points

these are points x = 4 and x = 5

This can be written in their linear forms as;

x-4 and x-5

Finding the products of both, we have

x(x-5) -4(x-5)

= x^2 -5x -4x + 20

= x^2 - 9x + 20

I need help with this question in Geometry.

Answers

Answer:

846 in

Step-by-step explanation:

48*15+21*6

720+126=846

Answer:

846 square inches.

Step-by-step explanation:

All you have to do is find the area of the net for the seat back.

Bottom and Top

L = 21 + 3 + 21 + 3   = 48

W = 15

Area

Area = L * w

Area = 48 * 15

Area =                                                       720

Area of the 2 sides .

L = 21

w = 3

Area =2 * L * w    There are 2 of them

Area = 21*3 * 2                                         126

Total                                                         846  

Complete the ratio table.

9 1
18 2
27 3
36
45 5

Answers

Answer:

9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5

Step-by-step explanation:

This is the answer because:

1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.

2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.

Therefore, the answer is 4.

Hope this helps! :D

The prices of different types of nuts are shown in the table.

Type of Nut Price per Pound
Almonds $9.15
Cashews $10.75
Peanuts $3.95

Mila buys 1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts.
How much does Mila spend in all?

Answers

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

I’m not sure but I think it’s 30.6$

Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.

1. The slope of f(x) is smaller than the slope of g(x)

2. The lines represented by f(x) and g(x) are parallel.

3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).

4. The y-intercept of f(x) is smaller than the y-intercept of g(x).

5. The values of f(x) and g(x) are the same at x = 3

Answers

Answer:

4. 5. 3. are correct im pretty sure

Step-by-step explanation:

Statements 1, 2, and 3 about f(x) and g(x) are "true".

What are the functions?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.

x  : 1   3   5   7   9

g(x): 3  7   11   15   19

Here the slope of the function g(x) is 2.

This means statements 1 and 2 are false because slopes are different.

To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.

Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.

The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.

To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.

Therefore, the true statements are 2, 3, and 4.

Learn more about the functions here:

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answer with work please

Answers

Answer: 1. 4

2. 12

3. 6

4. 8

Step-by-step explanation:

find the slope and the y-intercept of the line.

Answers

Answer:

Slope m = 6

y-intercept b = -5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

[Slope-Intercept Form]   y = 6x - 5

Step 2: Break Function

Identify Parts

Slope m = 6

y-intercept b = -5

Answer:

[tex]slope:6\\y-intercept:-5[/tex]

Step-by-step explanation:

Given the line:

[tex]y=6x-5[/tex]

We can first refresh our memory with slope-intercept form:

[tex]y=mx+b[/tex]

In slope-intercept form:

[tex]m=slope\\b=y-intercept[/tex]

With that information, using the given equation for the line, we can conclude that:

[tex]m=6[/tex]

[tex]b=-5[/tex]

Tickets for 2 adults and 4 children at a theme park cost £152.

An adult ticket costs twice as much as a child ticket.

Write and solve an equation to work out the price of an adult ticket​

Answers

Step-by-step explanation:

Let x be the price of an adult ticket.

Then 0.5x is the price of a child ticket.

We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.

Hence the price of an adult ticket is £38.

Answer:

Step-by-step explanation:

2a+4c=152

2c=a

4c+2a=152

2c-a=0

Use simultaneous equation

Substitute 2c=a

                  c=a divided by 2 in the first equation and find value of a and c

A real horse is 1.8 m high. A statue of the horse is 3 m high. What is the ratio of the height of the horse to the height of the statue

Answers

1:1.67. You divide both sides by 1.8 to reduce the smaller measurement to 1.

1.8/1.8 : 3/1.8 = 1:1.67 and there you go.

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Answers

Answer: Nadia’s equation should be V = 1/2(12.5)(6.7)(20)

Leo’s equation: V = 1/2(21)(7)(29)

Darcie: V = 1/2(13)(4)(19)

Explanation:

The formula for the volume of a triangular prism = 1/2(base)(height)(length)

help me i need the answer

Answers

9514 1404 393

Answer:

arc AB = 102°arc ADB = 258°

Step-by-step explanation:

The measure of an arc is the measure of the corresponding central angle.

__

Short arc AB is shown as subtending a central angle of 102°, so the measure of arc AB is 102°.

__

The sum of arc measures in a circle is 360°, so the measure of arc ADB is 258°, the value that adds with 102° to make 360°.

Susan can swim 105 meters in 70 seconds. At this rate, how far can she swim in 30 seconds?

Answers

Answer:

45 meters per 30 seconds

Step-by-step explanation:

To figure this question out you first gave to find the unit rate of meters per second by dividing 105 by 70.

105 divided by 70 = 1.5

So Susan can swim 1.5 meters per second.

Then we multiply that amount by 30 to find the number of meters she can swim in 30 seconds.

1.5 x 30 = 45 meters

So, in conclusion, Susan can swim 45 meters per 30 seconds

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Which city gets more rain and how much more?

A: Miami gets 0.78 more inches of rain.
B:Tampa gets 5.13 more inches of rain.
C: Miami gets 6.12 more inches of rain.
D: Miami gets 5.35 more inches of rain

Answers

The answer is 100% A

Miami gets 6.12 more inches of rain.

What is mean by Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68

While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.

Hence, For Miami;

= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68

= 25.02

For Tampa;

= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69

= 18.90

Thus, Find difference as;

= 25.02 - 18.90

= 6.12

Therefore, Miami gets 6.12 more inches of rain.

Learn more about the addition visit:

https://brainly.com/question/25421984

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Answers

Answer:

x=15

Step-by-step explanation:

the answer is 15 :)

Which fraction is represented by point A on the number line?
0
A
O-1
win W
1
3

Answers

Answer:

B

Step-by-step explanation:

it is

It’s B.
Because as u can see the line stops at -1. And A looks 1/3 away from from it so therefore it’s -1/3

please help i give 20 points and possibly brainliest to the right answer

Answers

Answer:

g(x): horizontal compression

h(x): vertical stretch

p(x): vertical compression

w(x): horizontal stretch

Step-by-step explanation:

g(x): horizontal compression

h(x): vertical stretch

p(x): vertical compression

w(x): horizontal stretch

I need help with this equation. I'm not that smart so I can't figure it out-

Answers

Answer:

x = 0

Step-by-step explanation:

In order to solve for x, first combine both fractions on the left

To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4

It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:

8x+24/32

Multiply 4x-2/8 by 4, you will get:

16x-8/32

Now you can add 16x-8/32 + 8x+24/32, you would get:

24x+16/32

Now you can start to solve for x

Your new equation is 24x+16/32 = 1/2

To solve for x, first multiply diagonally, then solve like a regular equation.

Multiply 24x+16 by 2 to get 48x+32

Then multiply 32 by 1 to get 32

Your new equation is 48x+32=32

Now subtract 32 by 32 to get 48x=0

Now divide 48 by 0 to get x=0

Bobby hit the wrong lever and as a result the factory produced way too many cheese puffs. If the factory managers decide to to give away 1/3 of 1/9 of a ton away as samples, what fraction of a ton did they give away? Make sure you answer is fully reduced.

Answers

Given:

The factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex]  of a ton away as samples.

To find:

what fraction of a ton did they give away?

Solution:

According to the question, the factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples. So,

[tex]\text{Samples}=\dfrac{1}{3}\left(\dfrac{1}{9}(1\text{ ton})\right)[/tex]

[tex]\text{Samples}=\dfrac{1}{3}\times \dfrac{1}{9}\times (1\text{ ton})[/tex]

[tex]\text{Samples}=\dfrac{1}{27}\times (1\text{ ton})[/tex]

[tex]\text{Samples}=\dfrac{1}{27}(1\text{ ton})[/tex]

So, samples is [tex]\dfrac{1}{27}[/tex] of a ton.

Therefore, they give away [tex]\dfrac{1}{27}[/tex] of a ton as samples.

You randomly sample 8 graduate students from an NYU event. 5 of the 8 exhibit higher IQ’s than the median of the general population. The probability of obtaining this result by chance (if those graduate students do not differ in IQ from the general population) is

Answers

Answer:

The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875

Step-by-step explanation:

The given parameters are;

The number of students in the sample, n = 8

The number of the students, x, that exhibit higher IQ's than the median = 5

The probability of obtaining the given result by chance is given as follows;

P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ

The probability that a student exhibit higher IQ's than the median = 0.5 = p

Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q

Substituting the known values, gives;

P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875

Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.

Solve in PEMDAS:
3 + [2 + 3 X (6 X 3)]

Answers

The answer should be 59

Can you please help me!? Explain and show work, please!

Answers

Answer:

no solution

Step-by-step explanation:

write an equation in slope-intercept form if the slope is 1.5 and y-intercept is (0,3)

Answers

Step-by-step explanation:

The equation of the line is y = 1.5x + 3.

based on the information in the table wich of these key features is incorrect

Answers

3=0 and 6=0. You can only have one x for one y

9. Which of these relations is a function?




Answers

Answer:

the answer is b

Step-by-step explanation:

| 5t-1 |=6

Show all work

Answers

Answer:

t = 1.4

Step-by-step explanation:

If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.

The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.

Answer: t=1

Step-by-step explanation:

|5t-1 |=6

5t+1=6

5t=5

t=1

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