): 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.    Need help bad:(

Answers

Answer 1
Approximately 25. Of the 5 grades of sand used in the United states, medium sand has particles ranging from 0.25 mm to 0.5 mm. For convenience, I'll use 0.5mm as the diameter of a grain of sand. Human cells range from a volume of 30 cubic micrometers (human sperm cell) up to 4 million micrometers (human egg cell). For the average human cell, I'll use an osteoblast with a volume of 4000 cubic micrometers or a diameter of 2x10^-5 meters. Now just take the diameter of a grain of sand and divide by the diameter of a human cell. 5 x 10^-4 / 2x10^-5 = 5/2 x 10^(-4 - -5) = 2.5x10^1 = 25 So the diameter of a grain of sand at 0.5 mm is approximately 25 times larger than that of a human cell at 0.02mm

Related Questions

round the factors to estimate the products. 697 x 82=

Answers

697 x 82 = 56,154
700 x 80= 56,000
700*80=56000 while estimating your answer you round it to the nearest hundred or 10 depending on the number in this case it will be 700 rounding 697 and 80 rounding 82 to the nearest tenth

HELP ME ASAP!!!


Ralph ate 1/2 of a pie before dinner. After dinner he ate 1/3 of what was left. What fraction of the pie did he eat after dinner?

Answers

find a common denominator which woukd be 6. imagine he divided the pie ibto 6 slices and he ate 1/2 of the pie so there are 3 slices left. after dinner he ate a third of what was left so he ate 1 slice. 1 slice out of 6 slices is 1/6

Answer:

1/6

Step-by-step explanation:

1/2 * 1/3 = 1/6.

you are biking at a speed of 18mph. you are 3 miles behind your friend, who is biking at a speed of 12mph. write and solve an equation to find the amount of time it takes for you to catch up to your friend

Answers

distance = velocity x time
Assume the distance moved by your friend is "d" and that the time taken for you to catch to him is "t"

you are moving with a velocity of 18 mph and your friend is moving with a velocity of 12 mph.
distance covered by your friend (d) = 12t miles ......> equation 1

If you add 3 to your rate, your distance will be the same as your friend's. This means that:
 d+3 = 18t miles ......> equation 2

Substitute by 1 in 2:
12t + 3 = 18t
3 = 6t
t = 0.5 hours
This means that you will catch up to your friend in half an hour.

Find an equation for the line with slope m through the point (a,c).

Answers

If you want the answer in point slope form then,

y-y1 = m(x-x1)
y-c = m(x-a)

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If you want the answer in slope intercept form, then solve for y

y-c = m(x-a)
y-c = mx-ma
y-c+c = mx-ma+c
y = mx-ma+c
y = mx+c-ma
y = mx+(c-ma)

For this answer in slope intercept form the slope is m and the y intercept is c-ma

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

If you want the answer in standard form, then get the variable terms to the left side. Have the constant terms on the right side.

y = mx+c-ma
y-mx = mx+c-ma-mx
-mx+y = c-ma

Optionally you can multiply both sides by -1 to get mx-y = -c+ma but it will depend on your book if this step is carried out or not.

The equation of a line with a given slope and passing through a point can be found using the point-slope formula.

To find the equation of a line with a given slope (m) passing through a point (a, c), we can use the point-slope formula. The point-slope formula is given by:

y - c = m(x - a)

where (x, y) represents any point on the line. This equation represents a line with slope m passing through the point (a, c).

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Carly has 2 more nickles than dimes in her pocket She has 40 cents How many nickels does carly have ? how many dimes does carly have?

Answers

She has two dimes and four nickels.
Final answer:

Carly has 2 dimes and 4 nickels in her pocket.

Explanation:

Let's assume Carly has x dimes in her pocket. Since Carly has 2 more nickels than dimes, she would have x + 2 nickels. The value of x dimes is 10x cents and the value of (x + 2) nickels is 5(x + 2) cents. Since Carly has 40 cents in total, we can set up the equation: 10x + 5(x + 2) = 40.

Simplifying the equation gives us: 10x + 5x + 10 = 40. Combining like terms gives us: 15x + 10 = 40. Subtracting 10 from both sides gives us: 15x = 30. Dividing both sides by 15 gives us:
x = 2.

Therefore, Carly has 2 dimes and 4 nickels.

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how many times can 16 go into 50

Answers

Three times. The remainder would be 2.
This is a very easy question. All you do is calculate 50/16, which leads you to the answer of 3,125, so the answer is 3.

What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4? 4 32 128 512

Answers

512 is the coefficient of the x9y-term                             

Answer:- 512


Explanation:-

We know that [tex](m+1)^{th},\ (T_{m+1})[/tex] in the binomial expansion [tex](p+q)^n[/tex] is given by

[tex]T_{m+1}=^nC_m\ p^{n-m}q^m[/tex]

Assume that [tex]x^9y[/tex] occurs in the [tex](m+1)^{th}[/tex] term of the expansion of [tex](2y+4x^3)^4=(4x^3+2y)^4[/tex]

[tex]T_{m+1}=^4C_m\ (4x^3)^{4-m}(2y)^m[/tex]

Comparing power of x and y in  [tex]x^9y[/tex]  we get m=1

Thus term for m=1 [tex]=\ ^4C_1\ (4x^3)^{3}(2y)^1=^4C_1=\frac{4!}{(4-1)!1!}(64x^9)(2y)=4(128x^9y)=512x^9y[/tex]

Thus the coefficient of [tex]x^9y[/tex] is 512.

What percent of 86 is 50 to the nearest whole percent

Answers

50/86 × 100% = 58% (nearest percent)

Answer:

58%

Step-by-step explanation:

Let us suppose x percent of 86 is 50.

Therefore, we have the below equation

x% of 86 = 50

Eliminating percentage, we get

0.0x × 86 = 50

Solve for x

[tex]0.0x\times86=50\\\\0.0x=\frac{50}{86}\\\\x=\frac{50}{86}\times100\\\\x=58.1[/tex]

Hence, in nearest whole percent, we have

x = 58%

Therefore, 58% of 86 is 50

To the nearest hundred thousand, there were 700,000 visitors to an amusement park las year which could be the exact number of visitors?

Answers

If we are rounding to the nearest hundred thousand, then anything above 50,000 would be rounded up, and anything below 50,000 would be round down. So 700,000 rounded to the nearest hundred thousand could be 650,001<x<749,999

what is square root of -36?

Answers

The square root of -36 is 6i

the square root of a negative number needs to end in I

 so find the square root of 36 and add an I

 sqrt(36) = 6

 so sqrt(-36) = 6i

The perimeter of a rectangle is 24cm. If the length in y cm, what is the width?

Answers

perimiter=2 times (length+width)
if perimiter=24

24=2(L+W)
divide both sides by 2
12=L+W

if L=y then
12=y+W
minus y from both sides
12-y=W

the width is 12-y cm

Micheal works 15.5 hours each week of a music store. He earns $9.48 per hour. How much does Micheal earn each week?

Answers

all you have to do is times 15.5 with 9.48 and you get your answer witch is $146.94
Micheal earns $146.94 each week. 9.48*15.5=146.94.

Hope this helps!
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what is the simplified form of 3abc divided by abc when abc does not equal zero

Answers

3abc/abc = 3.
Simply put, the answer if you divide this equation by ABC, will quite literally transform into 3.

The product of 5 and a number x is 14 .

What is the value of x?


x=194

x=120

x=54

x=434

Answers

none of them.

 Product means multiplication, so the product of 5 and a number means 5 times a number which is 5x

 so if 5x = 14

x = 14/5 = 2.8

x = 2.8 which isn't a choice.

Answer:

The answer is B 1/20

Step-by-step explanation:

The word "Product" means multiplication, and we need to find the value of "x" here's an equation:

5 times x = 1/4

5 times 1/20 = 1/4

Hope this helped! :3

For what values of y:is the value of the fraction 7−2y /6 greater than the value of the fraction 3y−7 /12 ?

Answers

Answer:

y<3

Step-by-step explanation:

Do you do rsm lol

y<3 is the value.

What is inequality?

In mathematics, an inequality is a relation that makes a non-equal assessment between two numbers or different mathematical expressions. Its miles are used most often to evaluate numbers at the quantity line by means of their size. There are several unique notations used to represent exceptional types of inequalities:

The notation a < b means that a is less than b.

The notation a > b approach that a is greater than b.

The range of y which will satisfy this inequality will result in the first fraction of a larger value as compared to the second fraction.

Multiplying both sides of an inequality by 12, we get:

12×10>12×3y-7/12

2(7-2y)>3y-7

14-4y3y-7

14+7>3y+4y

21> 7y

3>9

y<3

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What is the solution to the system of equations? { 4x−3y=26 3x+2y=11  

Answers


4x - 3y = 26
3x + 2y = 11
Multiply 1st eqn by 2, second by 3.
That way the y term disappears when the equations are added.
8x - 6y = 52
9x + 6y = 33
Add
17x = 85
x = 5

Hope I could help :)
4x - 3y = 26
3x + 2y = 11

multiply by 2 for the first equation

8x - 6y = 52
9x + 6y= 33. multiply by 3 for the second equation

17x= 85.

x= 5


20-3y=26

-3y=-6
y=2



The sign of the product of two integers with the same sign is positive. What is the sign of three integers with the same sign? Explain your thinking.

Answers

Answer:

Negative.

Step-by-step explanation:

The answer is negative, because if the number of integers you are multiplying is odd, then the sign is negative. But if the number of integers you are multiplying is even, then the sign is negative. In this case, three is odd, so the sign is negative.

Which equation can be used to find one or more factors of 26

Answers

The factors of 26 are one, two, 13 and 26. One and the number itself, in this case 26, are always factors. Since 26 is an even number, which means that it ends in zero, two, four, six or eight, it's evenly divisible by two. Two times 13 equals 26.

No numbers between two and 13 divide evenly into 26, so there are no more factors other than the four listed. Because two and 13 are both prime numbers, which are numbers that are only divisible by one and themselves, the prime factorization of 26 is 2 x 13. The prime factorization of a number refers to the prime numbers that multiply together to make that given number
One equation could be x(y)=26

Can rational numbers be expressed as a fraction of two integers

Answers

Yes, this is what a rational number is.
Yes this is the exact definition of what it means to be a rational number. A rational number is one that is a fraction of two whole numbers (or integers). The denominator, or the number in the bottom of the fraction, cannot be 0.

Some examples:
7 = 7/1
2/3
8/10
0.5 (since this equals 1/2)
the square root of 64 (since it equals 8 = 8/1)
any repeating decimal
any terminating decimal

Non-examples are things like...
sqrt(7)
pi
log(3)
any decimal where there isn't a clear pattern that repeats

2.5 repeating as a mixed number

Answers

0.3 is the answer. Hope you got it.
2 and 1/2 would be your mixed number for 2.5 repeating.

How many fourths are in two wholes? Use a fraction model to help you. Show two whole divided into four equal pieces. 2 dived by 1/4

Answers

8 fourths.
Because there is 4 quarters in 1 whole. 4x2=8

the sophomore class is selling pies as a fundraiser. it cost the class $4 for each pie and they plan to sell the pies for $12 each. Write and solve an equation to determine how many pies does the class have to sell in order to make at least $200

Answers

Here you are ---》They Atleast need to sell 17 pies to make 200$.

$12. $12
x 10. × 7
--------- ---------
$120 + $84
$204

What property is 0+91=91

Answers

The additive identity property . . . is being used here because no matter what the value is, whenever you add zero (0) to it, you'll always get the value your started with
Zero property of addition

Write a number greater than 714,587.

Answers

714,588 or any number higher than it
714,588. You can add one or more to 714,587 and it will be greater.

Josh is 4 years older than Delaney. In 5 years the sum of their ages will be 60. How old is Josh now?

Answers

x + 5 + 4 + x + 5 = 60
2x + 14 = 60
-14 -14
2x = 46
x = 23

So, Josh's age is 23 + 4 which is 27 years old.

Final answer:

The problem is a middle school mathematics question about algebra and age. By setting up an equation and solving it, we found that Josh is currently 27 years old.

Explanation:

The subject of this question is Mathematics, and it is likely a Middle School level problem. To solve this, we set up an equation based on the information provided: Let's denote Delaney's current age as D. According to the question, Josh is 4 years older than Delaney, so Josh's current age is D + 4 years. In 5 years, Delaney will be D + 5 years old, and Josh will be (D + 4) + 5 which simplifies to D + 9 years old. We know that the sum of their ages in 5 years will be 60. Therefore, the equation is:

D + 5 + D + 9 = 60

Combining like terms, we get:

2D + 14 = 60

Subtracting 14 from both sides, we get:

2D = 46

Divide both sides by 2 to find Delaney's current age:

D = 23

Now, we can determine Josh's current age by adding 4:

Josh's age = D + 4 = 23 + 4 = 27

Therefore, Josh is currently 27 years old.

It takes Henry 3 hours to paint someone’s portrait how many hours would it take for him to paint all 8 of his friends’ portraits

Answers

If each painting takes 3 hours, and he has to do 8 then he would spend 24 hours doing all 8 portraits

One winter night the temperature fell 16 degrees between midnight and 5 A.M. By 9 A.M.the temperature had doubled from what it was at 5 A.M. By​ noon, it had risen another 12 degrees to 30 degrees. What was the temperature at​ midnight?

Answers

The temperature at midnight was 25 degrees.

We have at one winter night the temperature fell 16 degrees between midnight and 5 A.M. By 9 A.M. the temperature had doubled from what it was at 5 A.M. By​ noon, it had risen another 12 degrees to 30 degrees.

We have to determine the temperature at​ midnight?

What is Temperature ?

Degree of hotness or coldness measured on a definite scale is called Temperature. When the temperature of the body is high it is called hot body and when it is low it is called cold body.

According to the question -

Assume the temperature at mid - night be x and at 5 AM be y.

Then -

x - y = 16

At 9 A.M. , assume the temperature to be z. Then -

z = 2y

At Noon -

z + 12 = 30

z = 30 - 12

z = 18 degree

At 9 A.M., we have -

z = 2y

18 = 2y

y = 9 degrees

At mid - night, we have -

x - y = 16

x - 9 = 16

x = 25 degrees

Hence, the temperature at midnight was 25 degrees.

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Peyton is altering her new jacket to enter it into the Bodacious Bedazzling Contest. In order for a garment to be considered "bedazzled," it must contain an amount of gems that fall within the range of the following inequality 132 ≤ ½x + 8 ≤ 193. Find the range of gems Peyton must use to enter he jacket in the contest.

Answers

248 to 370 gems
set up two equations 
132=(1/2)x+8  x=248
193=(1/2)x+8   x=370

Answer:

the range will be 248 ≤ x ≤ 370

Step-by-step explanation:

The given inequality models the range of amount of gems.

132 ≤ 1/2x + 8 ≤ 193

So we have to solve the inequality for the value of x.

132 ≤ [tex]\frac{1}{2}x[/tex] + 8 ≤ 193

Now we subtract 8 from the inequality.

132 - 8 ≤ ([tex]\frac{1}{2}x[/tex] + 8) - 8 ≤ 193 - 8

124 ≤ [tex]\frac{x}{2}[/tex] ≤ 185

Now we multiply the inequality by 2

124 × 2 ≤ [tex](\frac{x}{2})[/tex] × 2 ≤ 185 × 2

248 ≤ x ≤ 370

So the range will be 248 ≤ x ≤ 370

which of the following numbers that when divided by 1/2, give a result less than 1/2 ? select all that apply 3/8, 3/16,6/25,1/3

Answers

The answer would be 3/16 and 6/25!

Answer:

theheckisthis thing

Step-by-step explanation:

Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.

Answers

f(x)=4/7x
If I'm wrong please feel free to correct me.

Answer:

The function is [tex]C(x)=7x[/tex]

Step-by-step explanation:

Given : Charles will babysit for up to 4 hours and charges $7 per hour.

To find : Write a function in function notation for this situation ?

Solution :  

Let the work done by Charles in 'x' hour.

The charges is $7 per hour.

To create a function of x,

The cost function of 'x' hour is [tex]C(x)=7x[/tex]

Charles will babysit for up to 4 hours.

So, The cost for 4 hour is [tex]C(x)=7\times 4[/tex]

[tex]C(x)=\$28[/tex]

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