The ratio between Earth’s distance from the Sun and its scaled distance can be used to find the scaled distance for the other planets. Earth’s distance of 149.6 million kilometers to the Sun is scaled to 5.0 sheets of toilet paper as shown in the table. Now let’s find the scaled distance between Mars and the Sun as an example. Using the calculations shown, Mars’s distance to the Sun of 227.9 million kilometers would be scaled to 7.6 sheets of toilet paper.


d × 149.6 = 227.9 × 5.0
d = 7.6 sheets

Use this same process to complete the table with the scaled distances for the other planets. Round each answer to the tenths place. If you need additional math help, visit the Proportions section of the Math Review.

Answers

Answer 1

Using a proportional relationship, the scaled distances, in sheets of toilet paper, are given as follows:

Mercury: 1.9.Venus: 3.6.Jupiter: 26.Saturn: 47.8.Uranus: 95.8.Neptune: 149.9.

What is the missing information?

The real distances are missing, and they are given in the table at the end of the answer.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality, in the case of a direct relationship, as follows:

y = kx

In the case of an inverse relationship, we have that:

y = k/x.

k is the constant of proportionality for both cases.

For this problem, the constant for the Scaled Distances as a function of the Real Distances is given as follows:

k = 5/149.6 = 7.6/227.9 = 0.03334795963.

Hence, the relationship for the Scaled Distances is given by:

S = 0.03334795963R

In which R is the real distance.

Then the scaled distances for the planets are given as follows:

Mercury: 0.03334795963 x 57.9 = 1.9 sheets of toilet paper.Venus: 0.03334795963 x 108.2 = 3.6 sheets of toilet paper.Jupiter: 0.03334795963 x 778.6 = 26 sheets of toilet paper.Saturn: 0.03334795963 x 1433.5 = 47.8 sheets of toilet paper.Uranus: 0.03334795963 x 2872.5 = 95.8 sheets of toilet paper.Neptune: 0.03334795963 x 4495.1 = 149.9 sheets of paper.

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The Ratio Between Earths Distance From The Sun And Its Scaled Distance Can Be Used To Find The Scaled
Answer 2

Answer:

edmentum/plato hope this can help someone :)

Step-by-step explanation:

The Ratio Between Earths Distance From The Sun And Its Scaled Distance Can Be Used To Find The Scaled

Related Questions

Susie bought 6 yards of fabric to make scarves. She estimates that it takes 3/5 yard to make huge scarf. How many scarves can Susie make?

Answers

Susie can make 10 scarves.
6 is divided by 3/5. To do that, multiply the denominator by the whole number. Which would be 6x5=30 . Then what is left is 30/3 which is 10.
Numerator= 3
Denominator=5
Whole number= 6

Use the Distributive Property to rewrite the algebraic expression. 7(6m + 7)

wrong answers reported

Answers

Step-by-step explanation:

first, distribute 7 to 6m (this means 7 • 6m)

7 • 6m = 42m

then distribute 7 to 7 (which is 7 • 7)

7 • 7 = 49

your simplified expression is 42m + 49. i hope this helps! have a great day <3

solve this please for me

Answers

Answer:

c is answer plz see the pic it's the solution

Lorenzo tiene 4 cajas de huevo, cada uno con 50 huevos y 3 cartones del mismo producto con 10 de ellos ¿Cuántos huevos hay en total?

Answers

Responder:

240 huevos

Explicación paso a paso:

Número de cajas de huevos = 4

Huevos por caja = 50

Total de huevos en caja = 50 * 4 = 200 huevos

Número de cajas = 3

Número de huevos por caja = 10

Total de huevos en caja = 10 * 4 = 40 huevos

Huevos totales = (huevos en caja + huevos en cartón)

Total = (200 + 40) = 240 huevos

6.please help this timed!!!

Answers

Answer:

X=2

Step-by-step explanation:

3x+y=11

(+)2x-y=-1 (Add so you get rid of the y's)

5x=10

5x/5=10/5

x=2

plz help!!!! i’ll mark brainliest!!

Answers

i believe its number 3 well c

The image of the point (8,1) under a translation is (9,2). Find the coordinates of
the image of the point (5,5) under the same translation.

Answers

1-2-3-4-5-6-7-8-9-10

0.10)/%

The width of a rectangle is 7 inches and the length is 13 longer than the width. Find the perimeter of the rectangle. (PLEASE ANSWER QUICKLY!!!)

Answers

The perimeter is 54 because the length must be 20. (20+20) + (7+7) = 54

The winning times for a race are shown in the table.
Which answer describes the rate of change from year 2 to year 4?

- The winning time increased by an average of 0.267 second per year from year 2 to year 4.

- The winning time increased by an average of 0.8 second per year from year 2 to year 4.

- The winning time increased by an average of 0.4 second per year from year 2 to year 4.

- The winning time increased by an average of 0.475 second per year from year 2 to year 4.

Answers

Answer: The winning time increased by an average of 0.4 second per year from year 2 to year 4.

The winning time for a race displayed in the table would be:

C). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Find the increase in winning time:

Given that,

Year                             Winning Time(seconds)

1                                          27.5

2                                         28.4

3                                         28.7

4                                         29.2

5                                         29.44

Hence, The total change in the time is,

= (0. + 0.3 + 0.5 + 0.24)/4

= 0.485 seconds

Now, If we round off, it becomes 0.5 seconds.

Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.

Thus, ''Option C'' is the correct answer.

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A cereal box has a length of 9 inches, a width of 3 inches, and a height of 13 inches. What is the volume of the cereal box?

Answers

Answer:

351 is the answer to how much volume a cereal box has

Answer:

352

Step-by-step explanation:

all you do is multiply 9×3×13

Solve for a, 7-a=3 A.10 B.4 C.2 D5

Answers

Answer:

B

Step-by-step explanation:

7 - a + 3

subtract 7 from both sides.

-a = 3 - 7

add like terms (3 + - 7)

-a = -4

divide both sides by -1. (remember that in front of the a, a 1 is there.)

a = 4

answer: b. 4

Show set of data that is a function using at least 5 domain values and 5 range values. It can be shown in a format of your choice

Answers

Answer:

Five domain values of the function f(x) = x² - 1, are; 1, 2, 3, 4, 5

Five range values of the function f(x) = x² - 1, are; 0, 3, 8, 15, 24

Step-by-step explanation:

The values in the domain are the values of the independent or (normally) x-variable

The values i the range are the values obtained by applying the function relationship to the domain as follows;

Let 'f(x)' represent the function that generates the values of the data in the data set,

For f(x) = x² - 1, we have the following table;

[tex]\begin{array}{ccc}x&f(x)\\1&0\\2&3\\3&8\\4&15\\5&24\end{array}[/tex]

Therefore;

The function is f(x) = x² - 1

The five domain values are; 1, 2, 3, 4, 5

The five range values are; 0, 3, 8, 15, 24.

please help me on this will give you brainliest

Answers

The answer is 57.603. The thousandths place is the third place to the right of the decimal point

Answer:

57.603

Step-by-step explanation:

We can separate this into two sections, using the and:

Fifty-seven - simply the whole number 57

Six hundred three thousandths - This could be intrepreted as 0.603, which is confirmed through the "3" being in the thousandths place.

Sorry that took so long! I had to think a bit about this one

Which is the simplified version of:
7x + 12 + 3x = -6 (x - 7) + 9x

A. 5x = -30

B. 7x = -54

C. 7x = 30

D. 7x = -19

PLEASE DON’T GUESS :(
Will mark brainliest if your rightƪ(˘⌣˘)ʃ

Answers

Answer:

The answer is letter D

Step-by-step explanation:

Answer:

7x+3x=10x

-6(x-7)= -6x+42

then 10x+12=-6x+42+9x

10x+12=3x+42

10-3=42_12

7x=30

then the correct answer is C

What unit should be used to calculating fundraising for field trip

Answers

Answer:

the mcps i think

Step-by-step explanation:

Im not sure :/

solve for x. -3(x+5)=-9

Answers

Answer:

x = -2

Step-by-step explanation:

I do not understand this at all​

Answers

Answer:

2s+3b=154

s=2b

solving: s= 44, b= 22

Step-by-step explanation:

s=number of sundaes sold

b=number of banana splits sold

2s+3b=154

s=2b

to solve:

substitute s=2b into the first equation

2(2b)+3b=154

4b+3b=154

7b=154

divide both sides by 7

7b/7=154/7

b=22

s=44

GameStop is going out of business and everything is 60% off. What is
the new price of a game that regularly costs $58.99?

Answers

Answer:

With original price $58.99 and 60% off,

Final price: $23.60

Saved amount: $35.39

Step-by-step explanation:

Evaluate the expression,
if x = 9, y = 14, and z = 6.
X•y-z2

Answers

Answer:

90

Step-by-step explanation:

6^2=36

9*14=126

126-36=90

Answer:

90

Step-by-step explanation:

X ° Y - z2 =

9 x 14 - 6 x 6 =

126 - 6 x 6 =

126 - 36 = 90

Bodmas is used for this equation, the order of the sums that you should do:

1. The sum in the bracket

2. Division

3. Multiplication

4. Addition

5. Subtraction

Do it left to right, you can do division and multiplication and addition and subtraction too but it's based on left to right.

Please help me 3x+y=-3

Answers

Answer:

x=0 y=-3

Step-by-step explanation:

????????????????????????????

Answers

Answer:

Pretty sure it's c)

What is the simplified form of this expression? (-3x2 + x + 5) − (4x2 − 2x) A. 7x2 + 3x − 5 B. -7x2 + 3x + 5 C. X2 − x + 5 D. -x2 + 3x − 11

Answers

The correct answer is B. Combine like terms.

What statement is true for life insurance coverage?
O A. The policy only covers beneficiary's future needs, funeral costs should not be included in the
policy amount
B. Debt is forgiven at death, so insurance policies do not need to cover this cost.
O
C Life insurance policy amounts should factor in how much it would take to maintain the standard
of living for the beneficiaries
D. Generally speaking, $10,000 is the recommended amount for a life insurance policy

Answers

Answer:

C: Life insurance policy amounts should factor in how much it would take to maintain the standard  of living for the beneficiaries

Step-by-step explanation:

The statement is true for life insurance coverage

Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries.

What is Life insurance coverage?

A contract between an insurance policy holder and an insurance company in which the insurer agrees to pay a quantity of money in exchange for a premium upon the demise of an insured person or after a specific amount of time is known as life insurance.

In order to provide a death benefit in exchange for paying premiums, life insurance functions. One common kind of life insurance, called term life insurance, only lasts for a predetermined period, such 10 or 20 years. Although the death benefit of permanent life insurance likewise lasts during the policyholder's lifetime as long as premiums are paid, it does not.

Thus, the true statement is

Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries.

Learn more about Life insurance coverage here:

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re-write the equation in Ax+By=C form. use integers for A,B, and C.
y+2=-5(x-5)

Answers

Answer:

5x+y=23

Step-by-step explanation:

y+2=-5(x-5)

y+2=-5x+25

y=-5x+25-2

y=-5x+23

23=y-(-5x)

23=y+5x

5x+y=23

Find the product of (x + 5)(x − 5). Group of answer choices x2 − 10x + 25 x2 + 10x + 25 x2 − 25 x2 + 25

Answers

First I will tell you the formula for this, then I will show how we got the formula, then the answer.

Formula -> (x+a)(x-a)=x^2-a^2

We can find this by expanding the 2 (  )

(x+a)(x-a)=x^2+ax-ax-a^2=x^2-a^2

Now we can use this to solve your problem, the 5 is the a in the formula.

(x+5)(x-5)=x^2-5^2=x^2-25. Therefore choosing the 3rd answer choice.

For 3/4 of a pound of peanuts, Jimmy paid $2.35. What is the unit rate (dollars per pound)? *

Answers

Answer:

$3.13/lb

Step-by-step explanation:

Divide 3/4 pound into $2.35:

$2.35

--------- = $3.13/lb

3/4  lb

The total circular area a sprinkler can water is 240 2 . The sprinkler is set to rotate back and forth in a 75° pattern. Find the amount of area that will get watered.

Answers

Answer:

The sprinkler will cover an area of [tex]50m^2[/tex]

Step-by-step explanation:

Given

[tex]Area = 240m^2[/tex]

[tex]\theta = 75^{\circ}[/tex]

Required

Determine the amount of area it can cover

The amount of area is calculated by calculating the area of a sector using:

[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * \pi r^2[/tex]

Where:

[tex]Area = \pi r^2 = 240m^2[/tex]

So, we have:

[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * 240m^2[/tex]

Substitute 75 for [tex]\theta[/tex]

[tex]Sector\ Area =\frac{75^{\circ}}{360^{\circ}} * 240m^2[/tex]

[tex]Sector\ Area =\frac{75^{\circ}* 240m^2}{360^{\circ}}[/tex]

[tex]Sector\ Area =\frac{75* 240m^2}{360}[/tex]

[tex]Sector\ Area =\frac{18000m^2}{360}[/tex]

[tex]Sector\ Area =\frac{18000}{360} m^2[/tex]

[tex]Sector\ Area =50m^2[/tex]

Hence, the sprinkler will cover an area of [tex]50m^2[/tex]

Find the unit rate for this situation: type 145 words in 5 minutes

Answers

Answer:

29 words per minute

Step-by-step explanation:

[tex] \frac{145}{5} = 29 \\ \frac{29}{1} = 29[/tex]

Answer:

29 words per minute

Step-by-step explanation:

145/5 = 29 words per minute

Hope that helps!

(b) A circle has radius 26 cm and length of its chord is 48 cm. Find how far is the
chord from the centre of the circle?​

Answers

Answer:

22cm

,,,,,,,,,,,,ፀ,,,,,,

write the product using exponents ​

Answers

Answer:

11^5

Step-by-step explanation:

11^5 because your multiplying 11 by itself 5 times

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