Mathematics Middle School

Please help me with my math homework! 20 points!

A culture of 1.08×10^15 bacteria is in petri dish A. A culture of 2.7×10^11 bacteria is in petri dish B.

How many times greater is the number of bacteria in petri dish A than petri dish B?

Enter your answer, in standard notation, in the box.

Answers

Answer 1

To find the number of times the bacteria in petri dish A than petri dish B, let us divide.

So, number of times = [tex]\frac{Number of times bacteria in petri dish A}{Number of times bacteria in petri dish B}[/tex]

[tex]= \frac{1.08(10^{15} )}{2.7(10^{11} )}[/tex]

= 0.4 × [tex]10^{4}[/tex]

= 4000

Hence, the number of bacteria in petri dish A is 4000 times the number of bacteria in petri dish B.

Related Questions

Unit 1: Scientific Notation Constructed Response Assignment
Number Properties. explanations, according to the Scientific Notation Constructed Response Assignment Rubric. Completely respond to all parts below. When you have finished, submit your completed assignment to the Unit 1: Scientific Notation Constructed Response Assignment folder in your Math OMS course.

The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters. The diameter of a human hair is about 0.000025 meters.

Part A (2 points): What is the diameter of a human hair written in scientific notation?



Part B (2 points): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.




Part C (2 points): Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work.




Part D (2 points): The smallest known bacteria are from the genus Mycoplasma and can measure as small as 300 nanometers in diameter. Given that 1 meter = 1 x 109 nanometers, what is the diameter of the smallest bacteria, in meters? Give your answer in scientific notation and show your work.

Answers

https://brainly.com/question/5027087

Let C, S and H be the diameters of cell, sand and hair


Diameter of a cell: [tex] C=1 \cdot 10^{-5}m[/tex]

Diameter of a grain of sand: [tex]S=2 \cdot10^{-4}m[/tex]

Part A:

[tex]H=0.000025=2.5 \cdot 10^{-5}[/tex] meters, because it takes 5 movements right of the decimal dot, until there is only one digit to its left.

Part B:

we are comparing [tex]S=2 \cdot10^{-4} m [/tex] to [tex] C=1 \cdot10^{-5} m [/tex] ,

[tex] \frac{S}{C}= \frac{2 \cdot 10^{-4}}{1 \cdot 10^{-5}}=\frac{20 \cdot 10^{-5}}{1 \cdot 10^{-5}}=20[/tex]

thus S is 20 times larger than C

Part C

[tex]1m=1 \cdot10^9nm[/tex]

thus,

[tex]H=2.5 \cdot 10^{-5}m=2.5 \cdot 10^{-5} \cdot 1 \cdot 10^9nm=2.5 \cdot 10^{-5+9}=2.5\cdot10^4nm[/tex]

Part D.

[tex]1m=1\cdot 10^9nm\\\\1nm=\displaystyle{ \frac{1m}{10^9}=1\cdot 10^{-9}m} [/tex]

thus 300 nm are written in meters as follows:

[tex]300nm= 300\cdot 1\cdot 10^{-9}m=3\cdot 10^2 \cdot 10^{-9}m=3\cdot 10^{-7}m[/tex]

660 is 10 times as much as 600 true or false

Answers

the answer to this is false

Convert -3.7 (with a line over the 7)to a mixed number

Answers

The answer is -3 7/9.

Here's the pattern that will help you:
1/9= 0.11111...
2/9= 0.22222...
3/9= 0.333....

This patern continues down to 7/9= 0.777... and so on

4k-(2k-6) simplify the expression

Answers

Hope this helps you out . Of solving for k then just set it equal to zero

How does estimation help you place the decimal Point in a product correctly

Answers

That's easy when you estimate you are finding the whole number of which the decimal is closest to. When you place the decimal you count all the numbers behind the decimal point on the other numbers. 

Then you move the decimal don that very spot.

Estimation helps to place the decimal point in a product correctly by counting the numbers of figures after the decimal points prior to finding the product, then shifting the decimal point from the back to the front in the order with which you've earlier counted it after the finding the product.

Estimation is used to approximate a large number of a particular number to its nearest whole number or significant figures.

The use of decimal points in estimation helps to separate the fractional part from the whole number.

For example, if we want to find the product of 4.23 and 2.1, we have three numbers altogether after the decimal point.

So;

       4.23

×         2.1

    4  2  3

8  4  6    

8  8  8  3  

So, starting from the back to the front, we will shift the decimal point in three places. Then the product of 4.23 and 2.1 is 8.883

Therefore, we can conclude that we've fully understood how estimation help you place the decimal Point in a product correctly.

Learn more about estimation here;

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Hollis and Charmaine are curious about which mode of transportation gets them from their apartment to the mall faster. Hollis takes public transportation and gets to the mall in 18.5 minutes. Charmaine rides her bike and gets to the mall in 0.5 hours. The mall is 2.4 miles away from their apartment. Use the formula for distance traveled, distance=rate⋅time, to find each rate of travel in miles per minute. What is the difference between Hollis' rate of travel on the bus and Charmaine's rate of travel on the bike? In other words, how much faster is it to take the bus in miles per minute? Enter your answer as a decimal, rounded to the nearest hundredth, if necessary, like this: 42.53 50 pts

Answers

Hollis travels 0.05 miles per minute faster than Charmaine. First, convert to the same units for both Hollis and Charmaine. So Hollis takes 18.5 minutes and Charmaine takes 0.5*60 = 30 minutes. Both girls travel 2.4 miles, so calculate how many miles per minute each takes Hollis = 2.4 / 18.5 = 0.13 miles per minute. Charmaine = 2.4 / 30 = 0.08 miles per minute. Finally determine the difference in speed between the two girls. 0.13 - 0.08 = 0.05 miles per minute.

how to solve this question


b/5-1=10

Answers

Our goal is to isolate the variable, which is b. What you do to one side must also be done to the other side since we need to maintain equality.

Add 1 to both sides
b/5=11

Then multiply both sides by 5
b=55

Final answer: b=55

The distance between Cameron and jonesville is 80 miles . the scale on the map is 0.75 in : 10 miles . How far apart are the cities on the map

Answers

It’s 6 on the map if you want me to explain message me

Answer:

6,751.76 miles

Step-by-step explanation:

Given

distance between Cameron and jonesville = 80 miles

scale on the map is 0.75 inches (10 miles)

To determine the Distance apart of the cities on the map we use a proportion

Therefore

Let x represent the distance apart

0.75 inches/10 miles = 80 miles/ x miles

Cross multiply

0.75x = 80 miles × 10 miles

x = 800 miles/0.75 inches

Convert 0.75 inches to miles = 1.184 × 10-5 mile

Therefore 800miles/1.184 × 10-5 mile

x = 6,751.76 miles

All info in attachment. Please help! Thanks :)

Answers

Since K is in the interior of the angle, this means we can use the angle addition postulate. 

Angle LMN = (angle LMK) + (Angle KMN)
Angle LMN = (52 degrees) + (12 degrees)
Angle LMN = (52 + 12) degrees
Angle LMN = 64 degrees

See the attached figure for an example of what this could look like.

square root of 12 is between

Answers

Since the whole squares that are surrounding 12 are 9 and 16, and their square roots are 3 and 4, we know that the square root of 12 must be in between 3 and 4.

The weight that a horizontal beam can support varies as the length of the beam suppose that a 2m beam can support 410kg how many kg can a 1 m beam support

Answers

If a 1m beam supports x amount of weight, then if 1m=x we can multiply both sides by 2 to get 2m=2x=410. To find x, we simply divide all sides by 2 to get 1m=x=205

Sale price is $75 it was 20% off what was the original price

Answers

Since it was 20% off, 75% is 80% (100-20) of something. We then want to find 10%, and multiply that by 10 to find the original price. Since 10% is 1/8th of 80, we divide 75 by 8 to get 9.375. Multiply that by 10 to get 93.75 dollars, the original price

How many solutions does this equation have 3(x+11) = 6(x+ 33)

Answers

divide both sides by 3

expand

subtract x from both sides

simplify 2x + 66 - x to x + 66

subtract 66 from both sides

simplify 11 - 66 to -55

switch sides

x = -55

Answer: this equation 3(x + 11) = 6(x + 33) has only ONE solution and that would be x = -55.

On average, a commercial airplane burns about 3.9 × 10³ mL of gasoline per second. There can be as many as 5.1 × 10³ airplanes in the air in the United States at any given time.

About how many milliliters of gasoline are burned per minute by commercial airplanes in flight in the United States?

Enter your answer in the box.

1.2 x 10 (to what power) mL

Answers

3.9 x 5.1 = 19.89

10^3 x 10^3 = 10^6

19.89 x 10^6

move decimal point

1.989 x 10^7

A scuba diver starts at 85.6 meters below the surface and descends until he reaches 103.2 meters below sea level. How many meters did he descend ?

Answers

188.8 meters because you have to add 103.2+85.6 = 188.8 meters
Final answer:

The scuba diver descended 17.6 meters.

Explanation:

To find the distance the scuba diver descended, subtract the starting depth from the ending depth. In this case, the starting depth is 85.6 meters below the surface and the ending depth is 103.2 meters below sea level. So, the distance the scuba diver descended is 103.2 - 85.6 = 17.6 meters.

Number 3 and how you got the answer

Answers

You have the correct steps and final answer. The area of the room is 196 square feet, so each side is sqrt(196) = 14. The perimeter is 14*4 = 56 feet. You'll need 6 boards (each 10 ft long) to get 60 ft total. You'll have 60-56 = 4 ft of board left over. This is assuming that there isn't any other type of waste or mistakes made in cutting. 

Nice work on getting the correct steps and final answer.

three less than "x" is equal to 13

Answers

x = 16  hope this helped 

What is 5.8 x 10^6 seconds in minutes?

Just to clarify ^x means exponent.

A. 3.48 x 10^8 minutes
B. 9.67 x 10^4 minutes
C. 9.67 x 10^8 minutes
D. 3.48 x 10^4 minutes

Answers

Answer: here you go (PIC)

ITS B

hope it helps




Answer:

B

Step-by-step explanation:

I took the test and I got it correct

how many rainbow six events has there been since beta?

Answers

There has been 25 I believe.

Karen has scored 29, 23, 19, 25, and 25 points in her five basketball games so far. How many points does she need to score in her next game so that her average (mean) is 24 points per game?

Answers

She needs 23 points in the next game to make her average 24 points
Hope this helped:)

How would I write 4/m/12 ?? (4 divided by m divided by 12)

Answers

Separate these:

4/m   /   12
4/m * 1/12
4/12m
1/3m

Hope this helps!
You could write it like that because it's division

Someone please help me with my long division homework in return I will answer Spanish questions

Answers

the answer is 345 :) hope this helps u
8 goes into 27 (3 times).
3 times 8 is 24.
Subtract 24 from 27 is 3.
Bring down the 6 and it makes 36
8 into 36 is 4.
8*4= 32
36-32=4
bring down the 0
it makes 40.
8 into 40 is 5
8*5= 40

40-40=0
there are no remainders

answer is 345

What are 5 numbers that have 5, 11, and 2 as prime factors

Answers

110, 220, 330, 440, 550

hope this helps

If the greatest value of n is 9, which inequality best shows all the possible values of n?

n ≤ 9

n ≥ 9

n < 9

n > 9

Answers

It would be A. because A means N is less than or equal to 9.

Answer:

The answer is n with the less than sign with it underlined and then 9 on the left side

Step-by-step explanation:

The reason why it is the less than sign with it underlined is because the problem says the greatest value and that sign mean at most which is also the greatest.

write 1.25 in expanded form

Answers

1. 25 in expanded form is this:
1 + 0.2 + 0.05

Ashely walks 2 1/2 miles around a lake around three times a week. If Ashley walks around the lake in 3/4 hour,what is her rate of speed? (Hint: Use the formula r= d/t, where the r is rate, d is distance, and t is time.

Answers

To find Ashley's rate of speed in miles per hour, you will use the formula

Rate = Distance/Time.

First, you should fill in what you know. In this case, you know the distance is 2.5 miles, and the time is 0.75 hours. Now, you simply plug in the known variables to the formula to get Rate = 2.5 miles / 0.75 hours. After dividing, you reach the answer Rate = 3.333333 (or 3 and 1/3) miles/hour.

Solve the equation for Y 13x+y=4

Answers

Simplify 13x13x.
x3+y=4x3+y=4

Since yy does not contain the variable to solve for, move it to the right side of the equation by subtracting yy from both sides.x3=−y+4x3=-y+4Solve for xx.
x=−3y+12
If you're solving for y, you isolate it:

13x + y = 4

y = 4 - 13x

OR IN SLOPE FORM

y = -13x + 4


You put $550 in an account that earns 4.4% simple interest per year how much interest do you earn in six months

Answers

I=PRT
P=princiapl=amount put in
r=rate in decimal
t=time in years



so
P=550
r=4.4%=0.044
t=6/12=1/2 yr



so
I=(550)(0.044)(1/2)
I=(275)(0.044)
I=12.10

you earn $12.10 interest in 6 months

1. Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

Answers

x represents the amount of hours
peppy pets 15 + 3x
happy hounds 21 + x

15 + 3x = 21 + x
subtract x from both sides

15 + 2x = 21
subtract 15 from both sides

2x = 6
divide each side by 2

x = 3 hours


Algebraic equations are equations that consist of unknown variables. These variables can be represented using the letters of the alphabet.

The total fee charged by the companies will be the same in 3 hours.

Let's represent the number of hours as :h

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. The algebraic equation to represent this statement is given as:

$15 + $3 x h

15 + 3h ..........Equation 1

Happy Hounds charges a flat fee of $21 plus $1 per hour. The algebraic equation to represent this statement is given as:

$21 + $1 x h

21 + h ..........Equation 1

We equate both equations to each other

Equation 1  = Equation 2

15 + 3h  = 21 + h

Collect like terms

3h - h = 21 - 15

2h = 6

Divide both sides by 2

2h/2 = 6/2

h = 3

Therefore, the total fee charged by the companies will be the same in 3 hours.

To learn more, visit the link below:

https://brainly.com/question/19631146

The area of a square is 121 square inches.Find the perimeter

Answers

The sides are 11 each because the square root of 121 is 11. So, the permeter is 11 + 11 + 11 + 11 = 44 inches.

Hope this helped!
So the area of a square is length * width.

And the length = length.

So to find one side, just find the square root of 121.

The square root of 121 is 11.

So one side = 11.

Since there are four sides in a square,

11 * 4 = 44

So the perimeter is 44 inches.
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