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

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

Answers

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

there are 8 playing cards in a bag. 2 of those cards are spades. what is the probability of picking a spade randomly from a bag?
answer as a simplified fraction in form a/b

Answers

Answer:

thanks for the points

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

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

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

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.....

500+100 = ?? A700 B800 C600

Answers

Answer:

Step-by-step explanation:

Add the hundreds together

Answer: 500+100=600

Step-by-step explanation:

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.

What is the decimal equivalent of 1/18

Answers

The decimal equivalent of 1/18 is 0.125

0.125
Hope this helps!!!

Help Fast Please!!!!!!!!

Answers

Answer:

answer is -8.4 if you add 3.6 and two it's 5.6 times 1.5 it will be -8.4

Answer:

yes

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!

A figure is created by using four semicircles and a rectangle. which is closest to the area of the figure?

Answers

Step-by-step explanation:

area of rrctangle:

12×8= 96cm²

now if rectangle dissapears and then we "glue" what's left, we gonna get two circles

area of circle which gas diameter of 12cm( so radius will be 6cm)will be

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

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
1125 1500
Which equation describes the relationship between the number of cons of paint
used, and the number of square feet that are covered?
1
2
750
A
y = 375x + 375
B
y=+*
375
y = 50x + 325
D
y = 375x

Answers

Answer:

Y=375x

Step-by-step explanation:

thats the answer

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

Answers

Answer:

Answer: 2.88/1

Step-by-step explanation:

3 • 7=21-3=18 there urs answers

yoooo i need help lmk the answers

Answers

well the answer is 6 soo

The answer to your question is 6

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