Answer:
21
Step-by-step explanation:
1.365÷65=21 dollars
40 to 48 ratio as a fraction simplest form
Answer:
5:6
Step-by-step explanation:
Divide both sides by GCF which is 8.
Bobby is 5 less than Kylie's age. Their combined
age is 43. How old is Kylie?
Answer:
K=24
B=21
Step-by-step explanation:
x+x-5=43
2x=48
x=24
K=24
B=21
Answer:
24
Step-by-step explanation:
So the only way I think would be possible to get the answer is if you divide 43 by 2 (since Bobbie and Kylie are 2 people) then subtract 5 to get the answer?
for the chi-square test for goodness of fit, what is the value of df for a test with four categories and a sample of n
The value of df for a test with four categories and a sample of any size is 3.
The degrees of freedom (df) for a chi-square test for goodness of fit is calculated as (number of categories - 1) since one category can be determined from the frequencies of the other categories.
In this case, there are four categories, so the degrees of freedom would be (4 - 1) = 3.
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Hi there Ms or Mr I'm kinda new to geometry here so I'm still in a bit of practice could guide me here step by step please?I'm stuck with "If HEY=72 what is m
Answer:
m∠ZHS = 72°
Explanation:
We have the following diagram:
Now, the green angles are called corresponding angles. These angles have the same measure. So, ∠HEY and ∠ZHS are corresponding angles. It means that if the measure of ∠HEY is 72°, the measure of ∠ZHS is also 72°
Therefore, m∠ZHS = 72°
?????????????????????
Answer:
3/2 = X
Step-by-step explanation:
substitute
-x + 6y =7
6x + 2y =-4
The answer gets (-1,1)
But i need steps how it got that answer :)
Thank you!
Answer:
\(\Large\boxed{\sf{x=-1, y=1}}\)
(-1,1)Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
-x+6y=7 and 6x+2y=-4-x+6y=7= x=-7+6y
First, you have to substitute of x=-7+6y.
\(\Longrightarrow: \sf{6\left(-7+6y\right)+2y=-4}\)
Solve.
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
⇒ A(B-C)=AB-AC
6(-7+6y)
Multiply expand.
6*-7=-42
6*6y=36y
-42+36y+2=-4
Add.
36y+2=38y
\(\Longrightarrow: \sf{-42+38y=-4}}\)
First, add by 42 from both sides.
-42+38y+42=-4+42
Solve.
38y=38
Divide by 38 from both sides.
38y/38=38/38
Solve.
38/38=1
y=1For x=-7+6y
Substitute of y=1.
x=-7+6*1
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract-7+6*1
Do multiply.
6*1=6
-7+6
Add/subtract the numbers from left to right,
-7+6=-1
x=-1Therefore the final answer is x=-1 and y=1.I hope this helps, let me know if you have any questions.
Find the equation of a line that passes through the point (0,1) and has a gradient of 2.
Answer:
y = 2x + 1Step-by-step explanation:
Given point (0, 1) and the slope m = 2
Use point- slope form to find the equation of the line:
y - y₁ = m(x - x₁)y - 1 = 2(x - 0)y - 1 = 2xy = 2x + 1The path of a particular fireworks rocket is modeled by the Find the maximum height of the fireworks rocket. O A. 3 meters O
B. 4.9 meters O
c. 47 meters O
D. 56 meter
The maximum height of the rocket is 50 meters.
The path of a particular fireworks rocket is modeled by the given equation:
\($$h(t) = -5t^2 + 30t + 5$$\)
where h is the height of the rocket in meters and t is the time in seconds. To find the maximum height of the rocket, we need to find the vertex of the parabola. We can do this by using the formula:-
b/2a for the t-coordinate and then substitute the value of t in the equation to find the corresponding height. The general form of a quadratic function is given as
\($$f(x)=ax^2+bx+c$$\)
where a, b, and c are constants; a ≠ 0.
The vertex of the quadratic function is given as
\($$( -\frac{b}{2a},f(-\frac{b}{2a}))$$\)
Therefore, the formula for the t-coordinate of the vertex of the parabola is:
\($$t = -\frac{b}{2a}$$\)
Here, a = -5 and b = 30. Substituting these values in the above formula, we get:
\($$t = -\frac{30}{2(-5)} = 3$$\)
The corresponding height can be found by substituting t = 3 in the equation for h(t):
\($$h(3) = -5(3)^2 + 30(3) + 5 = 50$$.\)
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10. Townsend Realty purchased the Glenview Street property for $140,000 and received a 40%
discount off the original price along with an additional 20% off the discounted price for
purchasing the property in cash. Which of the following best approximates the original price,
in dollars, of the Glenview Street property?(
)
(A) $350,000
(B) $291,700
11. Intersecting lines r, s, and t are shown below.
(C) $233,300
(D) $175,000
Answer:
answer is c
Hop it helps you
Remember what we know about vertical angles and solve for x.
Then tell me the measure of Angle R.
The value of x by using vertical angles is 4, and the measure of angle R is 34°
Vertical Angles.Vertical angles are angles that are formed and are opposite of each other when two lines intersect. Vertical angles are congruent angles, it implies that they exhibit the same angle measure. Vertical here refers to the fact that they have the same Vertex (corner point).
From the information given:
6x + 10 = 8x + 2
6x - 8x = 2 - 10
-2x = -8
x = -8/-2
x = 4
The measure of angle R = 6x + 10
= 6(4) + 10
= 24 + 10
= 34°
Therefore, we can conclude that the measure of angle R is 34°
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A paralegal earns $22 per hour. a health
information technician earns $16 per hour.
how much more money will a paralegal
earn over 40 years than a health
information technician, if they work
52 weeks in a year and 40 hours a week?
f $499,200
h $26,480
g $1,830,400
j $12,480
A paralegal earns $22 per hour. a health
information technician earns $16 per hour G, $1,830,400.
To calculate the difference in earnings between the two professions over 40 years, we need to find the difference in their hourly wages and then multiply it by the number of hours they work in a year, multiplied by the number of years.
The difference in hourly wages is $22 - $16 = $6.
The number of hours they work in a year is 52 weeks x 40 hours per week = 2,080 hours.
So the difference in earnings per year between the two professions is $6 x 2,080 = $12,480.
Over 40 years, this adds up to $12,480 x 40 = $499,200.
Therefore, a paralegal will earn $499,200 more than a health information technician over 40 years.
Option G, $1,830,400, is the correct answer as it represents the difference in earnings between the two professions over 40 years.
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A rational number is of the form a / b, where ‘a’ must be a natural number, ‘b’ can be any integer.
a) The above statement is True
b) The above statement is False, as ‘a’ and ‘b’ both could be any Integer
c) The definition of a rational number is that it is of the form ‘a / b’ where ‘a’ and ‘b’ are Natural Numbers and ‘b’ is not equal to zero
d) The above statement is False, as ‘a’ and ‘b’ both should be Integers, but b cannot be zero
Answer:
I think option c is the answer
negative four and one third ÷ two and one fifth
Answer:
-65/33
Step-by-step explanation:
The solution to the given expression negative four and one third ÷ two and one fifth is -1 32/33
Fraction divisionnegative four and one third ÷ two and one fifth
-4 1/3 ÷ 2 1/5
= -13/3 ÷ 11/5
Multiply by the reciprocal of 11/5The reciprocal of 11/5 is 5/11= -13/3 × 5/11
= (-13 × 5) / (3 × 11)
= -65 / 33
= -1 32/33
Therefore, the solution to the fraction is -1 32/33
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"Observe the population pyramids of Nigeria (its 2017 population was 201 million) and Japan (126 million) that are shown on p 123 of the text. A. Start by describing the characteristics of the Nigerian, then the Japanese pyramid. Be sure to make observations about the relative proportion of dependents, both young and old, as compared to working-age cohorts, as well as any unusual disparities between males and females in specific cohorts. B. Then, given their age-sex structure, comment on the particular challenges and/or opportunities that face these two countries currently and in the next few decades. I suggest you do online searches for both Nigeria and Japan to find information you haven't thought of yourself, and add it to your comments. Cite your source(s) of information. The world's three biggest areas of dense population are found in South Asia, East Asia, and Europe. But Africa is the world's fastest-growing area. Use Appendix 3 at the end of the Bjelland textbook (pages A13-23 of the 16th ed) to find the Rate of Natural Increase (as of 2019) of each of those three dense regions plus Africa. List the RNI for each region, and then find and list other data presented in that table (number of people? life expectancy? % urban? GNI-per capita? be sure to consider what GNI means in terms of purchasing non-essential items) that will enable you to consider the potential 'ecological footprint' (how much will that region 'cost' Earth to support its population?) of those four regions in 2050. Conclude with thoughtful judgments and your explanations for them about the ecological impact of those regions."
A. Characteristics of Nigerian and Japanese Population Pyramids:
B. Challenges and Opportunities for Nigeria and Japan:
A. Characteristics of Nigerian and Japanese Population Pyramids:
Nigerian Population Pyramid:
Nigeria is a country in West Africa with a rapidly growing population. According to the 2017 estimate you provided, Nigeria had a population of approximately 201 million people.
The Nigerian population pyramid is likely to exhibit a broad base, indicating a high proportion of young individuals in the population.
There may be a relatively larger proportion of dependents, both young and old, compared to the working-age cohorts.
Gender disparities may exist within specific cohorts, potentially reflecting cultural or socioeconomic factors.
It is important to note that specific observations regarding the Nigerian population pyramid would require visual reference to the actual data and age cohorts.
Japanese Population Pyramid:
Japan, on the other hand, is a developed country in East Asia with a more mature population structure.
The Japanese population pyramid may exhibit a narrower base and a larger proportion of older individuals, indicating a declining birth rate and an aging population.
The working-age cohorts may be relatively smaller in comparison to the dependent cohorts, both young and old.
Gender disparities within specific cohorts may be less prominent compared to Nigeria.
Again, visual reference to the actual data is necessary for more accurate observations.
B. Challenges and Opportunities for Nigeria and Japan:
Nigeria:
Challenges: Nigeria's rapid population growth poses challenges in providing essential services such as healthcare, education, and infrastructure to meet the needs of a growing population. Additionally, high youth unemployment rates and income inequality can lead to social and economic challenges.
Opportunities: Nigeria's large and youthful population can be a potential demographic dividend if properly harnessed. Investing in education, skills training, and job creation can lead to increased productivity, innovation, and economic growth.
Japan:
Challenges: Japan's aging population presents challenges such as increased healthcare and pension costs, labor force shortages, and a decline in economic productivity. The shrinking working-age population may strain social welfare systems.
Opportunities: Japan can focus on technological advancements, automation, and attracting skilled foreign workers to address labor shortages. They can also encourage policies to enhance productivity and promote active aging to tap into the potential of older workers.
Please note that the challenges and opportunities described above are general observations and should be supplemented with specific data and research on the respective countries.
C. Rate of Natural Increase (RNI) and Ecological Impact:
Unfortunately, I don't have access to the specific table in the Bjelland textbook or the appendix you mentioned. However, I can provide some general information about the regions you mentioned:
South Asia: South Asia is one of the world's most densely populated regions. It includes countries like India, Pakistan, Bangladesh, and others. The RNI in South Asia is relatively high, indicating significant population growth. The ecological impact of the region depends on various factors such as resource consumption, industrial development, urbanization, and environmental policies.
East Asia: East Asia is home to densely populated countries like China, Japan, and South Korea. While China's population growth has slowed down due to its one-child policy, other countries in the region also face challenges related to aging populations. The ecological impact of East Asia depends on factors such as industrialization, urbanization, energy consumption, and environmental regulations.
Europe: Europe has a relatively low RNI and, in some countries, faces population decline or stagnation. The ecological impact of Europe depends on factors such as energy consumption, waste management, transportation systems, agricultural practices, and environmental policies.
Africa: Africa has the highest RNI among the regions mentioned. It is experiencing rapid population growth, which can have significant ecological impacts in terms of resource consumption, land use, urbanization, deforestation, and biodiversity loss. However, it's important to note that the ecological impact of a region is not solely determined by population size or growth rate but also by consumption patterns, technological advancements, and sustainable practices.
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Pls help asap it’s making me type so how’s u
Your day going?
The equation in point-slope form for the line passing through (3, -8) with a slope of -3 is y = -3x + 1
What is the slope?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
The point-slope form of the equation of a line is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope.
We are given that the line passes through the point (3, -8) and has a slope of -3, so we can substitute these values into the point-slope form:
y - (-8) = -3(x - 3)
Simplifying the equation, we get:
y + 8 = -3x + 9
Subtracting 8 from both sides, we get:
y = -3x + 1
Therefore, the equation in point-slope form for the line passing through (3, -8) with a slope of -3 is:
y - (-8) = -3(x - 3)
which simplifies to:
y + 8 = -3x + 9
or in slope-intercept form:
y = -3x + 1
Hence, the equation in point-slope form for the line passing through (3, -8) with a slope of -3 is y = -3x + 1
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Find the function which is parallel to y = 2x + 9.
5x-2y=8
O 7x+2y = 14
4y - 8x = 24
All of the choices
Answer:
4y - 8x = 24
Step-by-step explanation:
4y -8x = 24 Add 8x to both sides
4y = 8x + 24 Divide both sides by 4
y = 2x + 6
This slope is 2 which would great a line parallel to y = 2x + 9
Desmos is a free program that can help you graph. See the picture below. You just type in the equation and it graphs it for you. Cool
i need help asap taking a test
Answer:
A and D
Step-by-step explanation:
Hope I helped!
Use theoretical probability and experimental probability to break the code
There are 19 not winning ducks
The probability of rolling a number less than 9 is 0.67 and it is likely
The probability of rolling a multiple of 3 is 0.33 and it is unlikely
The probability of rolling a number greater than 6 is 0.5 and it is equally
How many are not winning ducksGiven that
Ducks = 25
Probability of winning = 0.24
This means that
Probability of not winning = 1 - 0.24
Probability of not winning = 0.76
So, we have
Not winning = 0.76 * 25
Evaluate
Not winning = 19
Probability of rolling a number less than 9Here, we have
Numbers less than 9 = 8
Total = 12
So, we have
P(Numbers less than 9) = 8/12
P(Numbers less than 9) = 0.67
This probability is likely
Probability of rolling a multiple of 3Here, we have
Multiples of 3 = 4
Total = 12
So, we have
P(Multiple of 3) = 4/12
P(Multiple of 3) = 0.33
This probability is unlikely
Probability of rolling a number greater than 6Here, we have
Numbers greater than 6 = 6
Total = 12
So, we have
P(Numbers greater than 6) = 6/12
P(Numbers greater than 6) = 0.5
This probability is equally
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Pllzzz help 6 mins left
Answer:
4
Step-by-step explanation:
Samantha and mia each left julia’s house at the same time. mia walked north at 7 kilometers per hour. samantha ran west at 11 kilometers per hour. how far apart were they after one hour? round the answer to the nearest tenth. a right triangle. a point at the angle with measure 90 degrees is labeled julia's house. a line drawn north is labeled 7 kilometers and a line drawn west is labeled 11 kilometers. 7.7 km 8.4 km 13.0 km 18.0 km
Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia
Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.
The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.
by the pythagorean theorem:
Answer: 13 km
Answer:
C
Step-by-step explanation:
Write -1/19, 7/14,-4/7 in order from least to greatest
Answer:
35
Step-by-step explanation:
Multiple choice questions 1. Breakspear Co purchased 600,000 of the voting equity shares of Fleet Co when the value of the non-controlling interest in Fleet Co is £150,000. The following information relates to Fleet at the acquisition date. Ihe goodwill arising on acquisition is £70,000. What was the consideration paid by Breakspear Co for the investment in Fleet Co? a) £420,000 b) £770,000 c) £620,000 d) £570,000
The consideration paid by Breakspear Co for the investment in Fleet Co was £570,000.
The consideration paid for an investment in a company includes the fair value of the equity shares purchased and any additional amounts paid for goodwill. In this case, Breakspear Co purchased 600,000 voting equity shares of Fleet Co, and the value of the non-controlling interest in Fleet Co was £150,000. The consideration paid for the investment is calculated by adding the value of the non-controlling interest to the goodwill arising on acquisition. Given that the goodwill arising on acquisition is £70,000, the consideration paid can be calculated as follows:
Consideration paid = Value of non-controlling interest + Goodwill
Consideration paid = £150,000 + £70,000
Consideration paid = £220,000
Therefore, the consideration paid by Breakspear Co for the investment in Fleet Co is £220,000.
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a helium filled balloon has a volume of 50.0 l at 25 and 1.08 atm what volume will it have at .855 atm and 10.0 c
The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.
To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
First, we need to convert the initial temperature of 25 °C to Kelvin:
T1 = 25 + 273.15 = 298.15 K
Next, we can rearrange the ideal gas law equation to solve for V2:
V2 = (P1 * V1 * T2) / (P2 * T1)
We have:
P1 = 1.08 atm (initial pressure)
V1 = 50.0 L (initial volume)
P2 = 0.855 atm (final pressure)
T2 = 10.0 °C (final temperature)
Converting the final temperature to Kelvin:
T2 = 10 + 273.15 = 283.15 K
Substituting the values into the equation:
V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)
V2 ≈ 42.81 L
Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.
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pls help asap if you can!!!!!
Answer:
x = 24
Step-by-step explanation:
if a and b are parallel then
62 and 5x - 2 are same- side interior angles and sum to 180° , that is
5x - 2 + 62 = 180
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
thus for a to be parallel to b , then x = 24
"introduction to the practice of statistics", by david s. moore, george p. mccabe, and bruce a. craig, 10th edition, 2021,
"Introduction to the Practice of Statistics" is a renowned textbook authored by David S. Moore, George P. McCabe, and Bruce A.
Craig. Now in its 10th edition, published in 2021, the book serves as a comprehensive resource for learning statistics. It offers an accessible and practical approach to the subject, suitable for students and professionals alike. Through its well-structured content, the book covers fundamental statistical concepts, data analysis techniques, and hypothesis testing methods.
With numerous real-world examples and exercises, it encourages readers to apply statistical principles in diverse fields. The 10th edition ensures that learners stay up-to-date with current statistical practices, making it a valuable reference for statistical education.
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EX24) 29 du Use the chain rule to find the indicated derivative. og, where du g(u, v) = f(x(u, v),y(u, v)), f(x,y) = 7x³y³.x(u, v) = ucosv, y(u, v) = usiny = 56u² cos v sin³ v
∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).
To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:
Given:
g(u, v) = f(x(u, v), y(u, v))
f(x, y) = 7x³y³
x(u, v) = ucos(v)
y(u, v) = usin(v)
To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:
∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)
To find ∂f/∂x, we differentiate f(x, y) with respect to x:
∂f/∂x = 21x²y³
To find ∂x/∂u, we differentiate x(u, v) with respect to u:
∂x/∂u = cos(v)
To find ∂f/∂y, we differentiate f(x, y) with respect to y:
∂f/∂y = 21x³y²
To find ∂y/∂u, we differentiate y(u, v) with respect to u:
∂y/∂u = sin(v)
Now, we can substitute these partial derivatives into the equation for ∂g/∂u:
∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))
To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:
x(u, v) = ucos(v) = u * cos(v)
y(u, v) = usin(v) = u * sin(v)
∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))
Simplifying further, we get:
∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))
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A ship must have 1 lifeboat for every 12 passengers, plus one lifeboat for
the crew and one backup lifeboat. Which equation shows the
relationship between the number of passengers, p, and the number of
lifeboats needed, I?
Select one
1) I= 2 + 1/2
2) I= 2p + 10
3) I= 12p
4)I=2+ p/12
===========================================
Explanation:
p = number of passengers
L = number of lifeboats
Since we're grouping the passengers in groups of 12, this strongly implies we'll be dividing two values. Specifically we have p divided by 12 to represent the number of boats we will need just for the passengers.
For example, let's say p = 36. This means we have 36 passengers. That would mean we need p/12 = 36/12 = 3 boats for those 36 passengers. This excludes the crew and backup boat. Adding those two extra boats leads to the expression 2 + p/12 which is the total number of lifeboats needed.
In the event that p is not a multiple of 12, this leads to p/12 not being a whole number. We could have say p = 50 passengers which means p/12 = 50/12 = 4.167 approximately. We will not round this to 4 because then we'll have passengers without a lifeboat.
We must round 4.167 up to the nearest whole number to get 5. The first four boats take care of 4*12 = 48 passengers, while that 5th boat handles the remaining 50-48 = 2 people. Since 2 people in a boat seems like a really low count, the crew could likely spread the people out such that say 10 people would be in each boat (since 50/10 = 5).
So in short, the result of p/12 is rounded up to the nearest whole number.
Houghton Mifflin Hare
Explain how you could mentally find 8 X 45 by
using the Distributive Property.
Answer:
(10 -2)(45)8(40 +5)(8)(5)(10 -1)Step-by-step explanation:
There are various mental math strategies that can be used for this problem. Here, we are specifically asked for one involving addition or subtraction, as the distributive property applies to the product of a value and a sum.
Option 1We can write 8 = 10 -2, as both 10 and 2 are easy to multiply by:
8 × 45 = (10 -2)(45) = 450 -90 = 360
Option 2We can write 45 = 40 +5, which is how you would do this multiplication in the conventional "long multiplication" way.
8 × 45 = 8(40 +5) = 320 +40 = 360
Option 3If you recognize that 45 = 9×5, you can rewrite 45 as either of ...
45 = (10 -1)(5)45 = (10 -1)(5) = 50 -5Then the distributive property application could be either of ...
8 × 45 = (8)(5)(10 -1) = 400 -40 = 360
8 × 45 = (8)(50 -5) = 400 -40 = 360
__
Additional comment
Multiplication methods can also be used to compute this mentally:
8 × 45 = 4×2 × 45 = 4 × (2×45) = 4 × 90
8 × 45 = 8 × 5 × 9 = 40 × 9
8 × 45 = 2×2×2 × 45 = 2(2(2×45))
The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
sphere a has radius 4 and a hemisphere b has a radius 8. fin the ratio of the volume of A to the volume of b
Answer:
A/B = 0.125
Step-by-step explanation:
Givens
r for Sphere A = 4
r for Sphere B = 8
Solution
Volume A = 4/3 pi r^3
r = 4
Volume A = 4/3 pi 4^3
Volume A = 4/3 pi 64
Note: there is no point in expanding the result. 4/3 and pi are going to cancel out when you set up the volume formula
Volume B = 4/3 pi * r^3
r = 8
Volume B = 4/3 pi * 8^3
Volume B = 4/3 pi * 512
Ratio A to B = 4/3 pi * 64 / 4/3 * pi * 512 Cancel 4/3 pi
Ratio A to B = 64/512
Ratio A to B = 1/8
Ratio A to B = 0.125