Here is a table of the average distance and the variation in the distance for the five innermost planets in our solar system: Average Distance and Variation Planet Name Average Distance Variation Mercury 36.0 million miles 7.39 million miles Venus 67.2 million miles 0.43 million miles Earth 93.0 million miles 1.55 million miles Mars 142 million miles 13.2 million miles Jupiter 484 million miles 23.2 million miles "Average distance" means the mean distance that planet is from the sun over the course of its orbit, and "variation" means how far it varies from that mean. For example, if a planet had an average distance of 5 miles and a variation of one mile, it would have distances between 4 and 6 miles at different times. a) Write and solve an inequality to represent the range of distances that can occur between the Sun and one of the planets from the table (your choice). Show your steps/process. b) Why is this best represented as an inequality rather than an equation? Explain in at least 3 sentences.

Answers

Answer 1

9514 1404 393

Answer:

  a) |e-93|≤1.55; 91.45 ≤ e ≤ 94.55

  b) see below

Step-by-step explanation:

a) Let e represent the distance from the sun to the earth in millions of miles. The table tells us the average distance is 93.0 million miles, and the difference from that value can be as much as 1.55 million miles. The corresponding inequality is ...

  |e-93.0| ≤ 1.55

We can solve this by rewriting it as a compound inequality.

  -1.55 ≤ e -93.0 ≤ 1.55

  91.45 ≤ e ≤ 94.55 . . . . . . add 93

__

b) An absolute value equation will give a finite number of particular values as its solution. The question asks for a range of values. An absolute value inequality is well-suited to providing a solution that is a range of values.


Related Questions

Estimate the following sum by first rounding each decimal to the nearest hundred.

428.1 + 186.5 + 210.62

Answers

Answer:400+200+200

Making it 800

Solve for x.

x/7 = -3

A. x = -10
B. x = 21
C. x = -21
D. x = 4

Answers

Answer:

x=-21

Step-by-step explanation:

x/7=-3

cross multiply

x=-3*7

x=-21

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{x}{7}[/tex] = - 3 ( multiply both sides by 7 )

x = - 21

What is the value of the expression 679.62 ÷ 9.4?

Answers

Answer:

67.3

Step-by-step explanation:

Please help me!!
If anyone could help me solve this that would be great.
“To graph y=2/3x+4, Emaan plots one point at (0,4) and a second point 2 units right and 3 units up at (2,7). He then draws a line through (0,4) and (2,7). What error did Emaan make?”
The “2/3x” area is meant to be a fraction.

Answers

Answer:

The error he made was adding 3 to the y value and adding 2 to the x value, instead of adding 2 to the y value and 3 to the x value.

Step-by-step explanation:

The slope can also be called "rise over run," or the change in y divided by the change in x.

In this situation, the slope is 2/3, meaning that a change in y of 2 units will increase the x value by 3 units.

Emaan switched these values when plotting the points, and did a change in 2 x values with a change in 3 y values.

From the point (0, 4), instead of plotting the point (2, 7), he should have plotted (3, 6).

The error he made was adding 3 to the y value and adding 2 to the x value, instead of adding 2 to the y value and 3 to the x value.

Solve the equation a = m - n for the variable n. *

Answers

Answer:

n = m-a

Step-by-step explanation:

a = m-n

a+n =m

n = m-a

Round 8,499 to the nearest hundreds

Answers

Answer:

8,500

Step-by-step explanation:

Answer:

8,500

Step-by-step explanation:

Name the multiplicative identity of -12i

Answers

Answer:

0

Step-by-step explanation:

The multiplicative identity of -12i is (1 + 0i) or 1.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-12i

This is a complex number.

The multiplicative identity is the value when multiplied by the given value gives the same value.

Now,

(1 + 0i) x -12i = -12i

Thus,

1 + 0i or 1 is the multiplicative identity.

Learn more about expressions here:

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A person can pay $8 for a membership to the science museum and then go to the museum for just $15. For a member of the science museum, what is the total cost of 2 visits?​

Answers

Answer:

its option A

Step-by-step explanation:

Answer:

I am pretty sure it is A.

Step-by-step explanation:

I think it is A.

can I get helpppppppppppppppppppppppp??

Answers

Answer:

6 + -15? That does equal -9.

Given the function f (x) = 4x^2 - 6x + 3. Calculate the following values:
f (-2) =
f (-1) =
f (0) =
f (1) =
f (2) =

Answers

Answer:hello

Step-by-step explanation:

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

The cube of the sum of a number and 8.

Answers

Answer:

This doesn´t make sense please clarify.

Step-by-step explanation:

f − 23.99 = 18.76


A.

f = 42.66

B.

f = 41.66

C.

f = 42.75

HELP ASAP! Plz

Answers

Answer:

f= 42.75

Step-by-step explanation:

just smart

Answer:

c your welcome

Step-by-step explanation:

i have done this connexus

Mr. Hanai recorded the outfit choices of the students for picture day from two periods. Which describes the variables in the two-way table?

Outfits for School Pictures

Pants
Skirt
Total
3rd Period
31
23
54
4th Period
23
35
58
Total
54
58
112
type of outfit and total students
type of outfit and total students in third period
period number and type of outfit
period number and total students who wore pants

Answers

Answer:

C IS THE ANSWER FOR THESE QUESTIONStep-by-step explanation:Mr. Hanai recorded the outfit choices of the students for picture day from two periods.  Which describes the variables in the two-way table? Outfits for School Pictures   Pants Skirt Total 3rd Period 31 23 54 4th Period 23 35 58 Total 54 58 112 type of outfit and total students type of outfit and total students in third period period number and type of outfit period number and total students who wore pantsOutfits for School Pictures   Pants Skirt Total 3rd Period 31 23 54 4th Period 23 35 58 Total 54 58 112 IF U THINK ITS A OR D OR B UR WRONG!C IS CORRECT

The variables in the two-way table describes period number and type of outfit .

What is Two-way tables ?

Two-way tables are a way of sorting data so that the frequency of each category can be seen quickly and easily. For example, 20 people are questioned about whether they have a pet or not. The results can be seen in this two-way table. From the table, it can be seen that there were 9 girls and 11 boys questioned.

According to the question

Mr. Hanai recorded the outfit choices of the students for picture day from two periods.

Outfits for School Pictures in two-way table :

                    Pants     Skirt          Total

3rd period      31           23              54

4th period      23          35              58

Total               54          58               112

Now,

The variables of Two-way tables are:

Number of periods in rows and type of outfit in column

Hence, the variables in the two-way table describes period number and type of outfit .

To know more about Two-way tables here:

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Jack brought three binders from the store and paid $13.17. If he goes back to the store to purchase five more binders, How much in total will he have spent on binders​

Answers

Jack would have spent 35.12 dollars on binders

Answer:

35.12 dollars. hope this helps

Step-by-step explanation:

Please answer quickly and show work thank you!

Answers

Answer:

30.32 miles

Step-by-step explanation:

This is a four-part question.

First, you need to find the distance between all of the places.

Alanah to Mia:

Find the hypotenuse: 6^2+8^2= C^2

(After work: C=10)

Mia to Teresa:

14 miles (You can just count.)

Teresa to Arena:

Find the hypotenuse: 2^2+6^2= C^2

(After work: 6.32)

Then, you can add them all up!

10+14+6.32= 30.32 miles (your answer).

Answer:

30 8/25 or 24 + √40

Work:

Alanah to Mia:

We have a right triangle, so do a² + b² = c²

6² + 8² = c²

36 + 64 = 100

100 = 10²

c = 10

Mia to Teresa:

d = 14

Just count here, it's self-explanatory.

Teresa to Arena:

Right triangle again

2² + 6² = c²

4 + 36 = 40

√40 ≈ 6.32 = 6 8/25

Final Sum:

Add 10 14 and 6 8/25 to get your final answer.

10 + 14 = 24

24 + 6 8/25 = 30 8/25 mi

Know that the fraction is just an approximation, the actual answer in radical form would be 24 + √40

With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What percentage was the discount? If necessary, round to the nearest tenth of a percent.

Answers

Answer:

1.2% discount I think

Answer:

The answer is 14.3

Step-by-step explanation:

If you don't wanted to round but if you do the answer would be...

14.29 ~14.3

Hope this helps!!

A toy cost $0.89 gian pays 1 how much change does she get back

Answers

Answer:

$0.11

Step-by-step explanation:

1-0.89 is 0.11 so it is $0.11

Answer:

$0.11

Step-by-step explanation:

Hi! :)

To find the answer to this math question, you need to do some subtraction!

1-0.89= 0.11

If Gian is paying $1, but the toy only costs $0.89, that means she will get $0.11 back.

Find the percent change.
From 112 to 140
Enter the correct answer in the box

Answers

Answer:

25% increase

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

(V2−V1)|V1|×100

=(140−112)|112|×100

=28112×100

=0.25×100

=25%change

=25%increase

what is the slope of (1,65) & (2,60)?

Answers

Answer:

-5

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

Slope of (1, 65) and (2, 60)

[tex] = \frac{65 - 60}{1 - 2} \\ = \frac{5}{ - 1} \\ = - 5[/tex]



Which letter represents (-2,3)?

Answers

Answer:

N represents (-2,3)

Step-by-step explanation:

x axis of N = -2

y axis of N = 3

Answer:

O B.  N

Step-by-step explanation:

the -2 meant go back 2 on the X while the 3 shows to go up on the Y axis

The formula for converting Fahrenheit to Celsius is. Solve for C. Explain hurry thank u

Answers

Answer: Thanks for using Brainly! Vote Biden 2020

Hope we influence your vote!

Answer:

F=1.8 C + 32 or F= 9/5 C + 32

Step-by-step explanation:

That is the formula to transfer fareinheit to celcius. 9/5 and 1.8 are basically the same thing. Plug in what you're converting to into C then multiply it by 9/5 or 1.8 and then proceed to add 32.

Emanuel can skateboard 3.375 miles against a 2-mph wind in the same amount of time he skateboards 6.375 miles with a 2-mph wind. Find the speed Emanuel skateboards with no wind.

Answers

Answer:

6.5 mph

Step-by-step explanation:

Given that :

Emanuel can skateboard 3.375 miles against a 2-mph wind in the same amount of time he skateboards 6.375 miles with a 2-mph wind. Find the speed Emanuel skateboards with no

Wind speed = 2mph

Let time taken to skateboard = t

Speed = distance / time

Distance of 3.375miles against 2 mph wind

Let skate speed = x

skate speed - wind speed=

(3.375 miles / t) + 2mph = x - - - (1)

Distance of 6.375miles with 2 mph wind

(6.375 miles / t) - 2 mph = x - - - - (2)

Equate (1) and (2)

(6.375/ t) - 2 = (3.375/ t) + 2

(6.375 - 3.375) / t = 2 + 2

3 / t = 4

3 = 4t

t = 3/4

t = 0.75

Hence, speed without wind will be :

(3.375 miles / 0.75) + 2mph = x

4.5mph + 2mph = 6.5 mph

please helpppppppppp me

Answers

Answer:

3.82x10^7

Step-by-step explanation:

Basically, start counting from 3.8 and keeping counting the steps until behind the last number 0. Those steps is the exponent or in this case 7.

Answer. B.
Explanation. For something to be in scientific notation, there can only be one digit to the left of the decimal, this automatically cancels out A and C. Now all that’s left to do is find how many spaces there are between the decimal and the last number. buy counting, we find that the answer is 3.82 • 10^7.
Hope this helped, let me know if it’s correct so others can use my answer :)
Good luck.

Help me please! I need answer right now.​

Answers

Answer:

t,4 triangles, right arrow, 27, 57, -14, -38,49,144, 4,1/4

Step-by-step explanation:

wILL GIVE YOU BRANLIEST, JUST PLEASE ANSWER ANYONE.

Answers

I hope this helps you!

I need help please 50 points

Answers

Answer:

A. Adjancent: <GAF and <CAB

B. <KAC <LAM

C.<LAM and <JAG

Step-by-step explanation:

Use the distributive property to write an equivalent expression.
9(x + 10)

Answers

Answer:

9x + 90

Step-by-step explanation:

Given

9(x + 10) ← multiply each term in the parenthesis by 9 )

= 9x + 90

−6⋅2⋅|−8|=

Please help me..

Answers

Answer:

96

Step-by-step explanation: -6x2= -12

-12x-8= 96 :)

Answer: 96 is the answer I multiplied and got 96 use pemdas

Hope this helped you :-)

f13=2x+5
what is the answer

Answers

The answer is 12 its simply multiplied by 2 then added by 2 to equal 12

subtract j from 9, then subtract 3 from the result

Answers

Answer

(9-j)-3

Step-by-step explanation:

Answer:

j-12

Step-by-step explanation:

without knowing what j is all you can do is combine like terms like -3 and -9

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