Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)?

Answers

Answer 1
Answer: 3.09 *10^0




Explanation: First we want to work out the operations and then set our answer in scientific notation.

We star with the multiplication in the parentheses because of the order of operations and then divide.

Thus, we have 486/157.5.

The answer is 3.085714286.

The general form of scientific notation is c*10^e, where c is a number from 1 to 10.

Since the answer is between 1 and 10 already, we did not need to move a decimal and e in the general formula represents how many times you moved the decimal.

Also, I simply rounded the answer to the hundredths place, which is acceptable to most teachers.




Related Questions

14 weeks is expressed as a percentage of 50 weeks is?

Answers

Answer:

28%

Step-by-step explanation:

Fraction= 14 out of 50 weeks

To find percentage multiply the fraction by 100

14/50 * 100

= 1400/50

= 28 percent

Answer:

28%

Step-by-step explanation:

50 ws ................ 100%

14 ws ......................x%

x = 14*100/50 = 14*2 = 28%

Mira is applying for a mortgage, and the bank wants to know how much she makes per year. She's paid $25 an hour and
works 30 hours a week. She needs to calculate how much she makes per year.
Select the correct answer from the drop-down menu.
Mira's annual income, assuming 52 weeks per year, is $
A- 9,000
B-22,500
C-39,000

Answers

Answer:

39,000

Step-by-step explanation:

$25x30=$750

$750x52=$39000

A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant? A. 50:100 B. 25:75 C. 25:100 D. 15:20

Answers

Answer:

D

Step-by-step explanation:

It would 75:100

We then can simplify that by dividing by 5 so we get

15:20

Answer: 15:20

Step-by-step explanation:

75% tables are used out of 100%

The ratio will be 75:100 = 15:20

To write 11x^2+17x-10 in factored form, Diego first listed pairs of factors of -10.

(__+10)(__+-1)
(__+1)(__+-10) (fill in blanks)

(You dont need to explain just answer it)

Answers

(11x+10)(x+-1)
(X+1)(11x+-10)

NEED HELP :(
Use the commutative or associative property to simplify the expression.
1/4(4y)

Answers

Answer:

y

Step-by-step explanation:

Associative Property a(bc)=(ab)c

1/4(4y)=(1/4(4))y

y

Please help me, extra points !!

Answers

Hey ! I know this says extra points but what do you need help on

Can someone help me with this please!!!

Answers

Answer:

first itself we should do the answer                         and only we can answer it

Step-by-step explanation:

A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks sold was three times the
number of sociology textbooks sold. How many textbooks of each type were sold?
Number of psychology textbooks sold: 1
Number of sociology textbooks sold:

Answers

Step-by-step explanation:

Total books = 368.

Sociology books = 92.

Psychology books = 3 times sociology books

= 3 x 92 = 276

Total = 276 + 92 = 368

Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra, and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more questions would she have needed to answer correctly to earn a 60% passing grade?

Answers

Answer:

She would need 5 more correct answers.

Step-by-step explanation:

This is from the AMC 8 1999 (the question). You can just search up the solution but okay.

70% of 10 is 7 so she got 7 arithmetic questions.

40% of 30 is 12 so she got 12 algebra questions.

60% of 35 is 21 so she got 21 geometry questions.

She got [tex]\frac{7+12+21}{10+30+35} =\frac{40}{75} =\frac{8}{15}[/tex] questions correct.

60% of 75 is 45 questions correct.

She got 40 questions correct.

She needed 5 more correct answers to get 60%.

Answer:

Step-by-step explanation:

problems solved in arithmetic=10×70 %=7

problems solved in algebra=30×40 %=12

problems solved in geometry=35×60 %=21

total problems solved=7+12+21=40

problems required for passing=75×60 %=45

so more questions required for passing=45-40=5

Monyne Phillips three coins. What is the probability that the first second and third Cornwall in the same way (either all heads or or tails) SHOW YOUR WORK

Answers

Answer:

1 in 8 chance.

Step-by-step explanation:

When a coin flips is has two outcomes: heads or tails, obviously.

Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes

1 coin: 2 outcomes

2 coins: 4 outcomes

3 coins: 8 outcomes

Another thing:

Don't be fooled by questions being specific by saying "all heads" or "all tails"...

This is a wording trick, no matter the outcome, the chances will always be equal.

Good luck :)

May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?

Answers

Answer:

The simple interest she earns is $80

p=500

r=8

t=2

Now,

SI=p×t×r/100

SI=500×2×8/100

SI=80

Answer:

[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]

Step-by-step explanation:

Given:

May invested $500 at 8% p.a. for 2 years.

Solve for:

The simple interest she earned.

Step 1: Define the formula to calculated the simple interest

Interest = Principal x Rate x Year

Step 2: Perform the calculation

With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2

Interest = 500 x 0.08 x 2 = 80$

Hope this helps!

:)

One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4

Answers

The answer to your question is 2/1

can u pls help me with this thanks

Answers

Hey!!!

<a and <b are complementary angles.

Those angles which are exactly 90 degree are called complementary angles.

hope it helps..

This sphere has a diameter of 5 m. What is the volume of the sphere?

Answers

Answer:

65.46 meters cubed

Step-by-step explanation:

Answer: the answer is V= 125/6πm^3

Step-by-step explanation: edge 2021

The ratio of the lengths of corresponding parts in two similar solids is 4:1.
What is the ratio of their surface areas?
A. 16:1
B. 8:1
C. 4:1
D 641

Answers

Answer:

the ratio is 16:1

Step-by-step explanation:

surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.

[tex]4^{2} : 1^{2} -->16:1[/tex]

Answer:

A.16:1

Step-by-step explanation:

what property is 5(8+3)=5*8+5*3?

Answers

Answer:

distributive property

Step-by-step explanation:

5(8+3)=5*8+5*3

This is an example of the distributive property

The 5 is distributed to each of the terms inside the parentheses

The property of the stated equation is distributed property I am pretty sure.
That is because the 5 is being distributed between 8 and 3.

I really need help on these 2 questions. Please!!!!

Answers

The first one isn’t similar, because there are two sides with 6, with different side lengths. The second one is, it uses SSS. They correspond in the same ratio, with 4 more on the sides on the second.

Please help me!!! :(

Answers

Answer:

280

Step-by-step explanation:

7*5*4*2=280

Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?

Answers

Answer:

7

Step-by-step explanation:

10-3=7

Which type of graphs allows the reader to view the raw data values?
Select one or more:
A Box Plot
B Stem-and-leaf plot
C Dot plot
D Histogram

Answers

Answer:

The correct option is B

B) Stem and Leaf plot

Step-by-step explanation:

The purpose of stem and leaf plot is to show the data distribution while retaining its uniqueness. Stem and leaf plot shows the raw values by retaining the original data. It is usually recommended for batches between 15 and 150 data points.

In Stem and Leaf plot, the leaves are usually the last digit of a data, which stems are the remaining digits. For example if we have 2 number suppose 171 and 176, then in stem and leaf plot, as 17 is common, it can be the stem, while last digits of both numbers i.e 1 and 6 are leaves. It can be written as:

17 |  1   6

Abraham currently has a balance of $3,075.21 in an account he has held for 13 years. He
opened the account with an initial deposit of $2,152. What is the simple interest rate on the
account?
2.3%
7.7%
3.3%
11.0%

Answers

Answer: 3.3%

Step-by-step explanation:

Amount = prt / 100

3075.21 = (2152 x r x 13)/100

Answer:

the answer is letter c

Step-by-step explanation:

I need a answer for this

Answers

Answer:

I think is A but I could be wrong.....But I don't think so because I did the math lol

Step-by-step explanation:

Can anyone help me out please

Answers

Answer:

5/23

Step-by-step explanation:

if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23

Hope this helps!!! :)

solve for x
9^x/9^3=9^5​

Answers

Answer:

9^x =9^5.

9^3

cross multiply

9^x=9^5×9^3

the nine cancel themselves .

x=5+3=8.

Answer:

x=8

Step-by-step explanation:

when dividing, you subtract the indicies (powers) and vice versa

rearrange the equation:

9^x=9^5​*9^3

5+3= 8 (add because when multiplying with indicies you need to add the indicies)

check answer:

9^8/9^3=9^5​

8-3=5 ✓

What is the value of x?
A-14
B-15
C-16
D-17

Answers

Answer:

A

Step-by-step explanation:

The answer is a because first you need to add up 110+110+70

You would get 290

Then subtract 360-290

You would get 70

Divide 70/5

You get 14, the answer.

Answer: A

Step-by-step explanation:

find the greatest common factor (3x^4y^2+12x^2y^3+6x^3y4)

Answers

Answer:

3x^2y^2

Step-by-step explanation:

the gcf is 3x^2y^2 since it is the common factor in all of the terms

HELP WILL DO ANYTHING TO GET ANSWERS

Answers

Answer:

24. 40 minutes approximately

25. 8 days

Step-by-step explanation:

24. 40 minutes

Anna: 1 hour

Peter: 3 hours

Maria: 6 hours

A way to solve this kind of question is to think about how much they can perform given the same amount of time.

Anna: 1 hour x 6: 6 hours (In 6 hours Anna can clean 6 houses)

Peter: 3 hours x 2  6 hours (In 6 hours Peter can clean 2 houses)

Maria: 6 hours x 1: 6 hours (In 6 hours Peter can clean 1 house)

Working together they can clean the house 9 times faster.

It is 0.66 hours, or approximately 40 minutes

25. 8 days

It climbs 3 feet up but then it falls 2 feet down while sleeping during

the night. So the snail actually climbs 1 foot every day. It happens in the first 7 days. On the 8th day it goes out before sleep.  

Which of the following relations represents a function?
O A. {(1, 1), (1, 2), (1,3)}
O B. {(1, 1), (2, 1), (3, 1)}
O C. {(1, 1), (2, 2), (3, 3)}
O D. Both B and C.

Answers

OPTION NUMBER D IS CORRECT

D.Both B and C.

Step-by-step explanation:

function is the relation from set A to B such that every element of set A(domain) should have only 1 image in Set B(co domain).

How much is a penny and a quarter

Answers

Answer:

check google

Step-by-step explanation:

Answer: 26¢

Step-by-step explanation: A penny equals 1¢ and a quarter is 25¢ so together that would make 26¢

A digital scale measures weight to the nearest 0.2 pound. Which
measurement shows an appropriate level of precision for the scale?

A.130.4 pounds
B.124.75 pounds
C.125 pounds
D.120 pounds

Answers

Answer:

A

Step-by-step explanation:

This option contains a number that would appear on this scale.

Answer:130.4

Step-by-step explanation:

have good day

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