Mathematics College

Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.

Look at picture.

Approximate how many times greater Saturn's mass is than Mercury's.

A) 200,000
B) 2,000,000
C) 2,000
D) 20,000

Answers

Answer 1

Answer:

2000 times

Step-by-step explanation:

Given

Sara:

[tex]Mercury = 3.302 * 10^{23[/tex]

[tex]Saturn = 5.685 * 10^{26[/tex]

Sam:

[tex]Mercury = 3.302 * 10^{29[/tex]

[tex]Saturn = 5.685 * 10^{32[/tex]

To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:

[tex]Times = \frac{Saturn}{Mercury}[/tex]

Using Sara's measurement; this gives:

[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]

Apply law of indices

[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]

[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]

[tex]Times = 5.685/3.302 * 10^3[/tex]

[tex]Times = 1.72 * 10^3[/tex]

Approximate

[tex]Times = 2 * 10^3[/tex]

[tex]Times = 2000[/tex]

Related Questions

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
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x - y = 0
I’ve been stuck for almost a hour pls help . if not it’s cool

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Point form (3,3)

x=3 , y=3

Which statement is most likely to be true for this distribution?

A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.

Answers

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Calculate the mean: 2.8

Calculate the median: 3

Therefore, the mean is less than the median.

4 pounds of grapes cost $11.52. what is the unit rate?

Answers

Answer: 2.88/1

Step-by-step explanation:

Suppose that $2000 is invested at a rate of 2.6 %, compounded quarterly Assuming that no withdrawals are made the amount after 8 years

Answers

A = p(1+r/n)nt A = final amount p = principal = 2000 r = interest rate = .04 n = # times compounded pet year = 2 t = time in years = 7 A = 2000(1+.04/2)2(7) A = 2000(1.02)14 A= 2638.957HOPE IT HELPS.....

Which of the following equations was used to graph the line shown pls help

Answers

The answer is A. y=2x

Solve for g.
3(q - 7) = 27

g=

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3(q-7)=27 Equation

Step 2

3(q-7)=27 Simplify

3q-21=27

Step 3

3q-21=27 subtract +21

3q=48

Step 4

3q=48 Divide

answer

Q=16

Hope this helps

plz help me math work question in photo

Answers

It’s b or a hope this helps

πr²=36π≈113.04

another circles radius is 4cm,so area is:

16π≈50.25

sum of all areas: S≈96+113.04+50.25≈259.28cm2

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!

Answers

1/8 y -1 +1 < -5+1
1/8 y < -4
8*(1/8y)< (-4)*8
Y < -32

How will increasing her salary affect the median and mean ?

Answers

Answer:

Her increasing the salary will mean

Step-by-step explanation:

What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)

Answers

Answer:

You're supposed to start at the zero

You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years? Give your answer in dollars to the nearest dollar.

Answers

Answer:

348,750 dollars in 3 years

Step-by-step explanation:

You inheritanced 15,500 dollars. You put that into a account which has a 7.5% interest rate for one year. 15,500 x 7.5 = 116,250 a year. now you want to know how much that'll be in 3 years multiply 116,250 x 3 = 248,750.

(I'm sorry if this is incorrect i tried doing the math correctly!)

Answer:

Step-by-step explanation:

I = P x r x t

p=15500

i=7.5% must change to decimal of 0.075

t= 3 (years)

In this case

I= 15,500 X 0.075 X 3= 3,487.5

(1, 162.5 x 3)= 3487.5

Solved to nearest dollar of 3,488

Need as soon as possible

Answers

Answer: 136 square feet

=======================================================

Explanation:

The front face is a triangle with base 6 and height 4.

The area is 0.5*base*height = 0.5*6*4 = 12 square feet

The back face is also 12 square feet since the front and back faces are identical triangles.

So far we have 12+12 = 24 square feet of surface area.

--------------------

The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.

To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.

This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.

So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.

500+100 = ?? A700 B800 C600

Answers

Answer:

Step-by-step explanation:

Add the hundreds together

Answer: 500+100=600

Step-by-step explanation:

Help pleasee needed

Answers

Answer:

Yes

AA similarity

DCE

Step-by-step explanation:

plz give thx and brainliest!

Bryanna is thinking of two numbers. Their sum is −7. One of the numbers is 11. Write an
equation and solve to find the other number.

Answers

Answer:

-18 is the answer please brainlist

Step-by-step explanation:

1/2x+3=2x is...
a)x=6
b)x=4
c)x=2
d)x=1

Answers

The answer is C.2 I’m pretty sure

The answer is C!!! Make sure to like this comment please!

ANSWER FAST PLS HAVE 5 MIN FOR THIS

Employees of a painting service paint the interior walls of homes and office buidings.
The following table shows the number of cons of point the employees use, and the
number of square feet they cover.
Cans of paint
3
Area painted (square feet) 375
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Which equation describes the relationship between the number of cons of paint
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1
2
750
A
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B
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Answers

Answer:

Y=375x

Step-by-step explanation:

thats the answer

Help Fast Please!!!!!!!!

Answers

Answer:

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Answer:

2.4

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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