Adam divides 32/8032. In which place should he write the first digit of the quotient?

Answers

Answer 1

Answer:

We have a quotient between a 2 digit number and a 4 digit number.

The usual rule for this type of problems is:

If the denominator has n more digits than the numerator, then the first digit will be in the nth position at the right of the decimal point.

If also, the denominator is larger than the numerator times 10^n, then the decimal will be moved another place to the right.

For example, if we divide 10 by 100 we have:

10/100

The denominator has one more digit than the numerator, then n = 1.

this means that the first digit of the quotient, will be on the first place at the left of the decimal point.

We can solve the quotient to get:

10/100 = 0.1

And, as we predicted, the first decimal is in the first place.

Now, with our quotient we have:

32/8032

n = 2.

and:

32*10^n = 3200

The denominator is larger than this, then we will move the first decimal to another place to the right.

Then we should expect to have the first decimal in the third place after the decimal point.

We can solve the quotient to get:

32/8032 = 0.0039

As we expected.


Related Questions

CAN SOMEBODY PLEASE HELP ME I DONT UNDERSTAND THIS ILL FAILED! REWARD BRAINLIESTSS

Answers

Answer:the 3rd one

Step-by-step explanation:

1. b

2. d

3. c

4. a

5. b

I'm very sorry if I am incorrect.

David made a scale drawing of an Olympic-sized pool the pool is 20.5 in long and the drawing that I can shoot pool is 164 ft long what is the correct scale of the drawing

Answers

Answer:

[tex]Scale = 1\ in : 8\ ft[/tex]

Step-by-step explanation:

Given

[tex]Scale\ Measurement = 20.5in[/tex]

[tex]Actual\ Measurement = 164ft[/tex]

Required

Determine the scale

The scale is calculated using the following ratio:

[tex]Scale = Scale\ Measurement : Actual\ Measurement;[/tex]

Substitute values for Scale and Actual Measurements

[tex]Scale = 20.5\ in : 164\ ft[/tex]

Divide ratio by 20.5

[tex]Scale = 20.5/20.5\ in : 164/20.5\ ft[/tex]

[tex]Scale = 1\ in : 8\ ft[/tex]

This implies that: 1 inch on scale represents 8 ft in actual measurement

Answer:

1.8

Step-by-step explanation:

1. **What is the slope of a line that passes through the points (-1,30) and (4, 10)

Answers

Answer:

Slope = -4

Step-by-step explanation:

Given points are :

(-1,30) and (4, 10)

We need to find the slope of the line that passes through these points.

We know that, the formula for the slope of line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10

Put values in the above formula.

[tex]m=\dfrac{10-30}{4-(-1)}\\\\=\dfrac{-20}{5}\\\\=-4[/tex]

So, the slope of the line is -4.

what is the sum for a(b+c+1)?
Use distributive property

Answers

Answer:

ab + ac + a

Step-by-step explanation:

a(b+c+1) Distribute a to b, c, and 1

ab + ac + a

write in slope intercept form​

Answers

Answer:

[tex]-\frac{3}{5}[/tex]

The slope is -3/5

Step-by-step explanation:

Answer:

y=3/5x-2

Step-by-step explanation:

Right now, this equation is in standard from or Ax^2 + Bx = C and you need to convert it to slope-intercept from which is y=mx+b where m is the slope and b is the y-intercept

Convertion

3x-5y=10   Subtract 3x from both sides

-5y=-3x+10    Divide all terms by -5

You get

y=3/5x-2

Determine the slope of the line y= x/3 +2 . I already did it just wanna know if it’s the right answer

Answers

Answer:

A. -1/3 is the answer

Step-by-step explanation:

y = - x/3 +3

x/3 + y =2

slope = -x/y

= -( 1/3 ) /1

= -1/3

blank + blank = internal energy​

Answers

Answer:

kinectic + electric = internal

Step-by-step explanation:

Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.

Answer:

The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .

Energy on a smaller scale

Internal energy includes energy on a microscopic scale

It is the sum of all the microscopic energies such as:

translational kinetic energy

vibrational and rotational kinetic energy

potential energy from intermolecular forces

One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.

Jane has 10 days to study for four
exams. She will devote equal study time
to each exam. How much time does she
have to study for each exam in hours?
She can devote 3 hours on each of the
ten days to study

Answers

10x3=30 hours
30/4= 7.5 hours to study for each exam

7 and 1/5 as a percent

Answers

7.2 as a decimal but as a precent it will be 720%

The slope of y = 4x – 2 is
The slope of a line parallel to y = 4x – 2 is
The equation of the line parallel to y = 4x - 2 that passes through the point (-1,5) is y =

Answers

1. The slope is y = 4x - 2 is 4
2. Slope of line parallel is 4
3. Y = 4x + b
5 = 4(-1) + b
5 = -4 + b, b = 9
The equation is y = 4x + 9

A bunny seller began their business with only 2 bunnies. The seller noticed that the number of bunnies the farm expanding after t days can be modeled by the equation P = 2 ∙ 3^t In this equation, what does 3^3 represent? *

Answers

Step-by-step explanation:

A bunny seller began their business with only 2 bunnies. The seller noticed that the number of bunnies the farm expanding after t days can be modeled by the equation

[tex]P=2(3)^t[/tex]

we know that the exponential equation is in the form of

[tex]y=a(b)^x[/tex]

Where 'a' is the initial value

y is the final value

b is the rate factor

x is the time period

P=2(3)^t

[tex]3^3[/tex] represent the value of t is 3

we know that 't' represents the number of days

[tex]3^3[/tex] represent the farm expanding after 3 days

Write the equation of a line perpendicular to y= -5/6x-3 and whose y-intercept is (0,11).

Answers

Answer:

y=6/5x+11

Step-by-step explanation:

Perpendicular lines have the opposite sign and reciprocal of the original line. Since the y-intercept is 11 we know that it is 6/5x+11

Zearn Mission 2 Assessment

Answers

Answer:

What do you mean?

Step-by-step explanation:

I can help if I know what's goin' on.

Help. Algebra word problem

Answers

They will be 170 pounds by the end of the year. 5% of 100 would be 5 so 5% of 200 is half of 5 which is 2.5. 2.5 times 12 will get you 30. 200-30 is 170

Answer:170

does any one know the answers

Answers

Answer:

b) 13

c) 37

Step-by-step explanation:

b) 2 + 5 + 6 = 13

c) 3 + 2 + 5 + 6 + 8 + 8 + 4 + 1 = 37

hope this helps

Maya invested $5,000 in an account paying an interest rate of 3.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $6,880?

Answers

Answer: 8.2

Step-by-step explanation:

Delta Math Solution

It would take 2.92 years for the value of the account to reach $6,880.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

Maya deposited $5,000 in an account with a 3.9% compounded annual interest rate.

To solve this problem, we can use the formula for continuously compounded interest: [tex]A = Pe^{rt}[/tex], where A is the final amount of the investment, P is the initial amount of the investment, r is the interest rate, and t is the time in years.

We can rearrange the formula to solve for t: t = (ln(A/P)) / r

Plugging in the values from the problem, we get: t = (ln(6880/5000)) / (3.9/100) = 2.92 years

Rounded to the nearest tenth of a year, this is approximately 2.9 years.

To learn more about Compound interest click here:

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Plz help ASAP I will mark brainleist.

Answers

Answer:

The 4th one!

Step-by-step explanation:

Answer:

the answer is number 4 for the question

Which is a name for the ray? Please help!!

Answers

Answer:

CR

Step-by-step explanation:

Answer:

CR

Step-by-step explanation:

It would be ray CR. It starts at point C and the last point along the ray is R.

I hope this helps! :)

Tim has a total of 19 nickels and dimes worth $1.65 in his coin bag. How many of each type of coin does Tim have?

Answers

Answer:

14dimes and 5 nickels

Step-by-step explanation:

Tim have 14 dimes and 5 nickels.

What is a unitary method ?

In simple terms, the unitary method is used to find the price of a single unit from a given multiple.

Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that there are 19 nickels, let n=number of nickels.

The number of total coins subtracted by number of nickels will give us the number of dimes.

The Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)

Then we can substitute total as $1.65 and get the value of nickels by multiplying by 5cent

Since the value of the dimes is the value of nickels subtracted from the total, we can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.

5(n)=5(19)=95

(165-95)/10 =number of dimes

70/10 = 7dimes

learn more about Unitary method here;

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Christy's family took a trip to Georgia this summer. The distance from Christy's town to Georgia was 432 miles. Christy's dad wanted to drive the trip without stopping and make it to Georgia in 12 hours. What average speed would Christy's dad have to maintain in order for the trip to take exactly 12 hours?

Answers

Answer:

36 Miles

Step-by-step explanation:

432/12 = 36

a , b, c, or d? right answers only please

Answers

Answer:

its B hope it helps lol lol lol

At a theater, the admission price for children is $4 and the admission price for adults is $7. The total amount the theater collects in admissions for the day is $1782. The total number of visitors is 294. Let x be the number of children and let y be the number of adults.

Answers

Answer:

4x+7y=1782 i beleive it would be

Step-by-step explanation:

Answer:

 x + y = 294   (1)

4x + 7 y = 1782 (2)

(1) => x=294-y  replace x into (2)

=> 4( 294-y ) + 7y = 1782 => y = 606/3 =202

=> x = 294 - 202 = 92

So : x = 92 and y = 202

Step-by-step explanation:

does anybody play Ro,blox???

Answers

Answer:

yea bro

Step-by-step explanation:

i play

Which situation is an example of opposite quantities combining to make 0?
A gift card had a balance of $20. Then, all $20 on the gift card was spent.
O A swimmer was 6 feet below the surface of the water. Then she descended another 6 feet.
C A container had 21 ounces of liquid. Then, 2.1 ounces of liquid was added to the container.
d The temperature was -5 degrees Fahrenheit. Then, the temperature decreased by 5 degrees.

Answers

Answer:

A is the best answer.

Step-by-step explanation:

The gift card starts out with 20 dollars. After it all being spent, you add -20. 20+(-20)=0

find the highest common factor of 14(3x+1)^ and 7(3x+1)​

Answers

Answer:

The highest common factor is 7(3x+1)

Step-by-step explanation:

Here, we want to find the highest common factor of both expressions

As we can see, the highest common factor of 7 and 14 is 7

Now, we have the second expression which is (3x+1)

No matter what the first expression is raised to, it still stands that the highest common factor we shall have there is 3x+ 1 as concerns the term

inside the bracket

Thus, the highest common factor of both terms is 7(3x + 2)

7. In the right triangle below, find the length of the third side.
B
15
10
C

Answers

Answer:

If you need to find the hypotenuse, then square the two sides and add them together then square root that answer to get the hypotenuse. If you need to find a side then take the hypotenuse and other side and square them then subtract the side by the hypotenuse and then square root that answer.

Step-by-step explanation:

legs; a b hypotenuse c

a^2 + b^2 = c^2 then square root this answer

c^2 - b^2 = a^2 then square root this answer

c^2 - a^2 = b^2 then square root this answer

The following table shows the number of alligators in each body of water near Tom's house. Number of alligators 7,0,11,10 find the mean number of alligators.

Answers

Answer:

Mean number of alligators = 7

Step-by-step explanation:

Given that:

Number of alligators

7, 0, 11, 10

Sum of quantities = 7 + 0 + 11 + 10

Sum of quantities = 28

Number of quantities = 4

We can find the average by dividing the sum of quantities by number of quantities.

Mean = [tex]\frac{28}{4}[/tex]

Mean = 7

Hence,

Mean number of alligators = 7

Answer:

7

Step-by-step explanation:

So there were four different places and four different amounts of alligators.

The numbers are 7, 0, 11, 10.

When you add 7, 0, 11, 10, you get the number, you get 28.

You then divide 28 by 4, because there are four different numebrs on the chart. 7(1), 0(2), 11(3), 10(4).

After you divide this, the mean would be 7 because 28/4 = 7. (28/4 means 28 divided by 7)

PLEASE HELP ME BRAINLY I WILL GIVE BRAINLEST

Answers

Answer:

Yes

Step-by-step explanation:

Priya and Han's expressions are equivalent.

Priya factored 8 as the factor while Han factored 2, but but after being multiplied they would equal the same.

Expression: 8y-24

Priya= 8(y-3)= 8y-24

Han= 2(4y-12)= 8y-24

The answer to that question is

For the function y = 7 - 3x, what is the ordered pair of x=5?​

Answers

Answer:

9

Step-by-step explanation:

Y= 7 - ( 3 • 5) = 7-15 = y=8

what is BD
pic is included

Answers

2nd one I’m guessing
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