Mathematics Middle School

The mass of the sun is 2.13525×1030 kilograms. The mass of Mercury is 3.285×1023 kilograms. How many times greater is the mass of the sun than the mass of Mercury? Drag and drop the values into the boxes to represent the answer in scientific notation. 0.0656.565.5​106​​​107​ ​108​

Answers

Answer 1
Given that the mass of the sun is 2.13525×1030 kilograms, and the mass of Mercury to be 3.285×1023 kilograms. We determine how many times greater the mass of the sun is relative to the mass of Mercury by getting the ratio of their respective masses. With this, we compute the ratio to be 2.13525×1030/3.285×1023 which is equal to 6500000. With this calculation, we can infer that the mass of the sun is 6.5x106 times greater than the mass of mercury.

Related Questions

I don't know how to solve this problem

Answers

divide 180 by 5 to get A-36

Answer:

was this question posted 4 years ago

3x - 2 (x + 3) = 4x - 7

Answers

The answer:   " x = ⅓ " .
____________________________________________________
Given:  " 3x − 2 (x + 3) = 4x − 7 " ; Solve for "x" ;
____________________________________________________
    
Start with the following term on the "left-hand side" of the equation:

" - 2 (x + 3) " ;
____________________________________________________
Note the "distributive property of multiplication" :
____________________________________________________
   a(b + c) = ab + ac ;

   a(b − c) = ab − ac ;
____________________________________________________
As such, 

  " -2 (x + 3) = -2(x) + -2(3) = -2x + (-6) = -2x − 6 ;
____________________________________________________
So, we can rewrite our equation:
____________________________________________________
 " 3x − 2 (x + 3) = 4x − 7 " ; substituting:  " -2x − 6"  (for " −2 (x + 3)" ; as follows:
____________________________________________________

   3x − 2x − 6 = 4x −  7 ; 
___________________________________________________
On the left-hand side off the equation; 
________________________________
We can combine the "like terms" ; as follows:

  3x − 2x = 1x = x ;  and rewrite the equation:
__________________________________
                    x − 6 = 4x −  7 ; 

____________________________________
We can subtract "4x" from each side of the equation; and add "6" to each side of the equation:
____________________________________
              x − 6 − 4x + 6 = 4x −  7 − 4x + 6 ;

to get:      -3x = -1 ; 
____________________________________
Now, we divide EACH SIDE of the equation by "-3" ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;
____________________________________
                 -3x / 3 = -1/-3 ; 
____________________________________
        to get:  x = ⅓ .
_____________________________________
    →  Now, let us check our answer by plugging in "⅓" for all values of "x" in the ORIGINAL GIVEN EQUATION; to see if the equation holds true:
_____________________________________________________
                    →   3x − 2 (x + 3) = 4x − 7 ;

                    →  [3 * (⅓) ] − 2 [ (⅓) + 3) = ? 4(⅓) − 7 ?? ;

                    →  (1) − 2(3 ⅓) =?  (⁴/₃)  − 7 ?? ;
 
                    →  (1) − 2(3 ⅓) =?  (⁴/₃)  − 7 ?? ;

                    →    (³/₃) − 2(¹⁰/₃) =?  (⁴/₃)  − (²¹/₃) ?? ;

                    →    (³/₃) − (²⁰/₃) =?  (⁴/₃)  − (²¹/₃) ?? ;

                    →    ⁽³ ⁻²⁰⁾/₃) =?  ⁽⁴⁻²¹⁾/₃) ??

                    →   ⁻¹⁷/₃ = ? ⁻¹⁷/₃ ??  Yes!  Our answer "makes sense"!
_____________________________________________________

number 8 d+3n=1 solve for n

Answers

n=1-d over 3   (1-d)/3

Write 28 as a product of its prime factors write the factors in order, from smallest to largest

Answers

28 = 2 x 2 x 7

2 x 2 = 4

4 x 7 = 28

hope this helps

Final answer:

To express 28 as a product of its prime factors, you would write [tex]28 = 2^2 \times 7[/tex], where 2*2 represents 2 multiplied by itself and 7 is a prime number.

Explanation:

To write 28 as a product of its prime factors, we begin by finding the smallest prime number that divides 28. Since 28 is an even number, we know it's divisible by 2. So we start with 2 and keep dividing:

28 ÷ 2 = 14

14 ÷ 2 = 7

Now, 7 is a prime number and cannot be divided further except by 1 and itself. So, we end up with:

28 = 2 × 2 × 7

We can also express this using exponents:

28 = 2² × 7

These are the prime factors of 28, written in order from smallest to largest.

how do u decompose 122 and 3 in math

Answers

When you decompose a number you are breaking it into units. 122 will have 3 separate units because it has 3 digits. So, it will be broken down into hundreds, tens and ones and will look like this: 100 + 20 + 2. Note that when you add those together you get a total of 122.

Decomposing 3 is more simple because it is a single digit. It will look like this: 3, because all you are representing is the ones unit. However, some instructors will want you to break a single digit into its various addends, so if your instructor is asking you to do this, it will look like this: 3+0=3, 2+1=3, 1+2=3, 0+3=3.

Final answer:

Decomposing the number 122 involves breaking it into place values: 100 + 20 + 2. The number 3 is prime and can't be decomposed further except when used as an exponent, as in 3² = 9. Decomposing non-integer exponents, suggested by 3¹.⁷, is complex and often requires a calculator for exact results.

Explanation:

To decompose the number 122 in mathematics means to break it down into parts that can be more easily understood or used in calculations. One common method of decomposition is to break the number into its place values. For 122, this would be 100 + 20 + 2. As for the number 3, it is a prime number and cannot be decomposed into other numbers, except if we are talking about an operation such as factoring 3², which would be 3 x 3 or 9.

When dealing with exponents, as in the expression 3¹.7, we face a different type of decomposition. This is not a standard notation, and it might be a typo, as decimal exponents are not normally used. However, if we try to make sense of it, we could assume the intention was to represent a non-integer exponent, which might occur in expressions like [tex]3^{(17/10)[/tex], which would have to be calculated using a calculator or logarithms for a precise result. The decomposition in such scenarios is not as straightforward as with integer exponents like in 3´, which is simply 3 x 3 x 3 x 3.

You get a large ice-cream cone for $2.99 and a bottle of water for $1.07 . You pay with a 10 -dollar bill. How much change will you get back?

Answers

10 - 2.99 = 7.01 and 7.01 - 1.07 = 5.94 so you will get 5.94 in change 

The money obtained back after payment is $5.94.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

Given that,

The cost of ice-cream is $2.99.

And, the cost of water bottle is $1.07.

The total money paid is $10.

Now, the change that can be got back is obtained by arithmetic operation as follows,

10 - (2.99 + 1.07)

= 10 - 4.06

= 5.94

Hence, the change that is got after the payment is $5.94.

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Your credit limit is $2,500 what is the max you should ever owe on this card?

Answers

Answer: $2,000

To calculate the max amount you should owe, multiply the credit limit by 80%. $2,500 * 80% = 2,000

Patio covers 56 square yards find length of a side of patio to nearest tenth of yard

Answers

  A square has four equal sides. The area of a square equals 
the square of the length of a side 
So if the length of a side is s, the area of the square is s^2 
We want s^2 = 56 
so s = sqrt(56) 
you do that on a calculator 
s = 7.4833 
to nearest tenth, s = 7.5 
Final answer:

The length of a side of the patio, rounded to the nearest tenth of a yard, is 7.5 yards.

Explanation:

To find the length of a side of the patio, we need to find the square root of the area. The area of the patio is given as 56 square yards.

To find the length of a side, let's take the square root of 56. The square root of 56 is approximately 7.48.

Therefore, the length of a side of the patio, rounded to the nearest tenth of a yard, is 7.5 yards.

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Are points A, C, D, and F coplanar? Explain.

a) Yes; they all lie on plane P.
b) No; three lie on the same face of the pyramid and the fourth does not.
c) Yes; they all lie on the same face of the pyramid.
d) No; they are not on the same line.

Answers

Answer: Choice B) 

The points A, C and D form a triangle which is the front face you see in the pyramid. Point F is not on this triangle at all. Point F is towards the back at the base of the pyramid away from this front face. So we consider A,C,D,F collectively as a whole to be not coplanar. If we ignored the point F, then we can say that A,C,D are coplanar. 

The points A, C, D, and F are not coplanar points.

What are the coplanar points?

The points that are on the same plane is called coplanar points.

Here, a square pyramid is drawn on a plane.

Points A, C, D are three vertices of a side of the pyramid.

Hence, points A, C, D are coplanar.

However, the point F is the vertex of the opposite side triangle of the square pyramid.

Therefore, the point F is not on the same plane of points A, C, and D.

Hence, points A, C, D, and F are not coplanar.

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The math club is selling gift wrap for a fundraiser. They sold all 45 rolls of solid wrapping paper at $4 each and rolls of patterned wrapping paper at $5 each. If they made $265, how many rolls of patterned wrapping paper did they sell?

Answers

They sold 17 rolls. If 45 were sold at $4 dollars then $4×45= 180 If they made 265 dollars so you have to subtract 180$265-180= 85 dollarsYou know the remainder were sold at $5 dollar and dividing 85÷5= 17

If the expression is 3x+1 is equal to -7 for the some value of x, Then what is the value of the expression 6x+5 for the same value of X? Show the work that leads to your solution

Answers

3x+1=-7
3x = -8 subtract 1 from both sides to separate the x
X= -8/3 divide both sides by 3 to find the value of x


6(-8/3) + 5 replace x with the value of x that you found in the other equation
16 + 5 multiply 6 * (-8/3)
21 add 16+5
remember, you can do anything to an equation as long as you do it to both sides
3x+1=-7
minus 1 both sides
3x+1-1=-7-1
3x+0=-8
3x=-8
divide both sides by 3
[tex]\frac{3x}{3}=\frac{-8}{3}[/tex]
[tex]\frac{3}{3}x=\frac{-8}{3}[/tex]
[tex]1x=\frac{-8}{3}[/tex]
[tex]x=\frac{-8}{3}[/tex]

ok for 6x+5

6x+5
[tex]6(\frac{-8}{3})+5=[/tex]
[tex]\frac{-48}{3}+5=[/tex]
[tex]-16+5=[/tex]
[tex]-11[/tex]





[tex]x=\frac{-8}{3}[/tex] and [tex]6x+5=-11 \space\ for \space\ x=\frac{-8}{3}[/tex]

On Monday two hundred ninety students went on a trip to the zoo.All five buses were filled and only five students had to travel in cars.How many students were in each bus?

Answers

57 student's in each bus
Their were 57 students on each bus


I hope this helps ;)

Rodrigo researched the number of pets owned in the U.S. and displayed his results in the bar graph shown. in his research, he found that $7,737.6 million was spent on annually on veterinary visits for the dogs and $5,913 million was spent annually on visits for cats. How much more was spent, on average, by each person for dogs than cats?

Answers

Hello! I can help you with this question! 1,000 millions is equivalent to 1 billion. Therefore, $7,737,600,000 was spend on vet visits for dogs annually. As for cats, $5,913,000,000 were spent on them annually. Divide the price spent on dogs, buy the number of people (31,200,000), and your quotient should be 248. So that’s $240 dollars per person on dogs. For cats, do the same steps. Divide price spent by people (27,000,000), and your quotient should be 219. So that’s $219 dollars per person in cats. Now, you just subtract both prices per person. 240 - 219 = 21. Each person spent $21 more on average for dogs than cats.

Answer:

$29 million is spent more by each person for dogs than cats.

Step-by-step explanation:

Amount spent on visits for the dogs = $7,737.6 millions.

Number of dogs owned = 31.2 millions (by bar graph)

∴ On average amount spent on each person = [tex]\frac{7,737.6}{31.2} = $248 millions [/tex]

Amount spent on visits for the cats = $7,737.6 millions.

Number of cats owned = 27 millions (by bar graph)

∴ On average amount spent on each person = [tex]\frac{5913}{27} = $219 millions [/tex]

Thus, on average, by each person amount spent for dogs than cats = $248 millions - $219 millions = $29 millions.

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?

Answers

Berto can purchase 12/3.75 gallons, this is 3.2 gallons of gas. So the coordinate on this line would be (3.2, 12).
Good Luck! :D

Answer:

The required ordered pair is (3.2,12).

Step-by-step explanation:

Let the x be the relating number of gallons of gas and y be the total cost of the gas.

It is given that the cost of gas is $3.75 per gallon. Total cost of x gallons is

[tex]y=3.75x[/tex]

Berto has $12 to put gas in his car.

[tex]y\leq 12[/tex]

[tex]3.75x \leq 12[/tex]

Divide both sides by 3.75.

[tex]x \leq 3.2[/tex]

The maximum number of gallons of gas is 3.2 and the total cost of the gas is 12.

Therefore the required ordered pair is (3.2,12).

What's -2x-x+8
?? Thanks

Answers

-2x - x + 8

-3x + 8 is your answer

simplify the expression as much as possible

combine like terms (in this case is the "x" 's)

hope this helps

As of December 2006, the national debt was $8.6 trillion, or 8.6 x 1012 dollars. At that time, the U. S. population was approximately 300,000,000 (300 million), or 3 x 108. If the national debt was evenly divided among every individual in the United States, how much would each citizen have to pay?

Answers

0.92850510677 I hope this helps

The sum of four consecutive odd integers is 176

Answers

x + x + 2 + x + 4 + x + 6 = 176
4x + 12 = 176
- 12 - 12
4x = 164
/4 /4
x = 41

Answer: 41, 43, 45, 47

(If you have any questions I'd be happy to answer them)

The numbers are 41,43,45,47.

Given that,

The sum of four consecutive odd integers is 176.

Based on the above information, the calculation is as follows:

x + x + 2 + x + 4 + x + 6 = 176

4x + 12 = 176

4x = 164  

x = 41

So, the four consecutive odd numbers are 41, 43, 45, 47

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The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula p= 2l ÷ 2w to find the length of the frame if the width is 14 inches

Answers

Perimeter of the frame = 72 inches
length of the frame = ?
width of the frame = 14 inches
formula to use is 
p = 2l ÷ 2w
now put the values of width and perimeter
72 = 2l ÷ 2(14)
72 = 2l ÷ 28
72 x 28 = 2l
2016 = 2l
l = 2016/ 2
l = 1008 inches
length of the frame is 1008 inches

Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost, including an 18% tip. Which expression is equivalent to the amount Miko paid? i really need help my grades depened on you

Answers

The tip would be $2.88 the total is $18.88

Answer: $18.88

Step-by-step explanation:

Find the distance between M(–2, 3) and N(8, 2).

a) 10
b) (image #1)
c) 8
d) (image #2)

Answers

You would use the distance formula and get square root of 101

The answer is b) (image #1)
Final answer:

The distance between points M(-2,3) and N(8,2) is sqrt(101) which is calculated using the distance formula. None of the provided choices match this answer.

Explanation:

The subject of this question is in the field of Mathematics, specifically involving the use of the Distance Formula in a coordinate plane. The distance between two points in a plane, Point M(-2, 3) and Point N(8, 2) can be calculated using the formula:

D = sqrt[(x2-x1)² + (y2-y1)²]

Substituting the given coordinates, we get:

D= sqrt[(8-(-2))² + (2-3)²]

D= sqrt[(10)² + (-1)²] = sqrt[100+1] = sqrt[101]

None of the provided options in the choices seem to be correct, assuming 'sqrt[101]' is not among the image choices.

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if a doctor prescribes tablets with a strenght of 0.2 mg and 0.6 mg is ordered, how many tablets should the patient take?

Answers

1/3 of the pill, unless the pill shjould be tale 3 times a day
You just divide the amount ordered by the strength because you're looking for how many tablets they should take in order to reach .6 mg, and each tablet is .2 mg. So, it would be three tablets. Hope I helped. :)

Enter the sum of the numbers as the product of their GCF and another sum. 35+40. The sum of the numbers as a product of their GCF.

Answers

75 is the sum of the product of their GCF

Using the distributive property, which expression is equal to 7(9 - 5)? 7*9 - 7*5 7*9 + 7*5 7(5 - 9) 7+5 - 7+9

Answers

Answer:

7(9 - 5)

Step-by-step explanation:

63 - 35 = 28

What is the equivalent decimal to 1/2?

Answers

0.5 is the decimal equivalent to 1/2
To find the decimal equivalent of a fraction, simply divide the numerator by the denominator. The numerator is the top part of the fraction, while the denominator is the bottom part of the fraction. Divide 1 by 2 and you should receive a decimal.

1 ÷ 2 = 0.5

As a result, the decimal equivalent of [tex] \frac{1}{2} [/tex] is 0.5.


Place brackets in the statements to make them true:

7-2² +3=28

2+2+2² =36

Answers

(7-2)^2+3=28

Check:
5^2+3
28
True

(2+2+2)^2=36

Check:
6^2
36
True

the library surveyed 240 people about their favorite type of movie if 15% of the people chose documentaries how many people chose documentaries

Answers

240 x 0.15 = 36 people chose documentaries 

What is a polynomial

Answers

A polynomial is a collection of terms that are separated by a plus or a minus sign. There a few types of polynomials.

Monomials have one term.
Binomials have two terms.
Trinomials have three terms.

All of these are classified as a polynomial.

Once you go over 3 terms, it's simply called a polynomial.

A triangle has one angle measuring 3X degrees the second angle measures 2X +20° and the third angle measures 4X -20° what is the value of X

Answers

The sum of all 3 interior angles in a triangle is 180°.

so 3x+(2x+20)+(4x-20)=180
9x+20-20=180
9x=180
x=180/9
x=20

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

We have been a triangle has one angle measuring [tex]3x[/tex] degrees the second angle measures [tex]2x+20[/tex] degrees and the third angle measures [tex]4x-20[/tex] degrees. We are asked to find the value of x.

We know that all interior angles of a triangle add up-to 180 degrees.

[tex]3x+2x+20+4x-20=180[/tex]

Combine like terms:

[tex]3x+2x+4x-20+20=180[/tex]

[tex]9x=180[/tex]

Divide both sides by 9:

[tex]\frac{9x}{9}=\frac{180}{9}[/tex]

[tex]x=20[/tex]

Therefore, the value of x is 20 for our given triangle.

Sara recorded the height of the ocean at low tide, with respect to sea level, for four days.
Time Low Tide (inches)
Monday a.m. −4
Monday p.m. ​ −6 ​
Tuesday a.m. ​ −3 ​
Tuesday p.m. ​ −1 ​
Wednesday a.m. 0
Wednesday p.m. 2
Thursday a.m. ​ −1 ​
Thursday p.m. ​ −3 ​

What is the average height of the ocean at low tide with respect to sea level?

Answers

-2 inches This is a simple average of 8 data points. All you need to do is add the value of all the data points together, then divide the sum by the number of data points. So (â’4 + â’6 + â’3 + â’1 + 0 + 2 + â’1 + â’3) / 8 = -16 / 8 = -2 S

The average height of the ocean is -2.

What is Average?

Average The arithmetic mean is calculated by adding a set of integers, dividing by their count, and then taking the result.

For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.

Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's accessible numbers.

Given data:

Monday a.m.: −4

Monday p.m.:​ −6 ​

Tuesday a.m.: ​ −3 ​

Tuesday p.m.: ​ −1 ​

Wednesday a.m.: 0

Wednesday p.m.: 2

Thursday a.m.:​ −1 ​

Thursday p.m.:​ −3 ​

So, the average height of the ocean at low tide

=(-4 + (-6)+ (-3)+ (-1) + 0+ 2 + (-1) + (-3))/8

= (-18 + 2 ) / 8

= -16 /8

= -2

Hence, the average height of the ocean is -2.

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HELP ME PLEASE!!!!

Construct the perpendicular bisector of each side of the given triangle. What do you observe about these bisectors?

Answers

I don't know  a or b
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