Two factors are​ multiplied, and their product is 32.3046. One factor is a whole number. How many decimal places are in the other​ factor? Tell how you know.

Answers

Answer 1

Step-by-step explanation:

a whole number has 0 decimal places (after the decimal point, meaning on the right side of the decimal point).

so, all the decimal places (4) must come from the other factor.

a multiplication by a whole number is always a series of additions of the other factor with itself. if anything, such a multiplication eliminates decimal places. it does not create additional ones.

e.g.

3.06 × 5 = 15.3 (because it is actually 15.30, but trailing 0s don't have any value like leading 0s, and are normally skipped).

the increase in the decimal places happens by involving places with higher value : 1/10 has a higher value than 1/100, that has a higher value than 1/1000, and so on.

so, e.g. 0.2×9 = 1.8 (and not 0.18).

as it is 2/10 × 9 = 18/10 = 1.8

an addition cannot create suddenly new decimal places with lower value.

therefore, normally we would say the other factor has 4 decimal places.

but in reality, it is a I said above, the 4 decimal places of the result of the multiplication "come from the other factor".

we cannot say that the other factor has 4 decimal places, because it could have more, and the multiplication with the whole number removed some.

e.g. 3.6 × 5 = 18 (or 18.0).

so,

32.3046 could be 6.46092 × 5

when we think this through, the other factor could have infinitely many decimal places.

like 5/9 × 108 = 0.555555... × 108 = 60

or our number

32.3046 could be 0.2991166666... × 108

so, all we can say, the other factor must have at least 4 decimal places.


Related Questions

Which is the lower left quadrant on the coordinate plane? A coordinate plane. Quadrant I Quadrant II Quadrant III Quadrant IV

Answers

Answer:

C

Step-by-step explanation:

If u form a C around the origin point, u will know the order.

Answer:

Quadrant 3

Step-by-step explanation:

The quadrants go from:

1                           2

3                          4

PLEASE HELP!!! JUST SHOW ME HOW YOU DID IT? PLEASE! THANK YOU SO MUCH!1

Answers

Answer:

It’s an=-10•-0.5^n-1. First you want to divide 5 by -10 to find r (common ratio) which is -0.5. Next you just plug in your terms.

Step-by-step explanation:

I WILL MARK BRAINLIEST Twelve is added to a number and then the sum is multiplied by 4/5 to give 23.6. What is the number?

Answers

Answer: 17.5 or 35/2

Step-by-step explanation:

(If you change 4/5 to a decimal, it makes this easier. 4/5 would be 0.8.)

23.6 = (12 + x)*0.8

23.6 = 9.6 + 0.8x

14 = 0.8x

17.5 = x

17.5 as an improper fraction would be 35/2.

1. A recipe calls for lb of flour for 1 batch. How many batches can be made with each of the following amounts? a. 1 lb b. lb c. lb

Answers

Each should be one batch. All three together would be 3.

Find the interest and amount for $800 at 9% for year?

Answers

Answer:

72 dollars

Step-by-step explanation:

I = Prt

I(Interest)

P(Principle)

r(rate)

t(time)

I = 800 * 9% * 1

800 * .09 * 1 = 72

Enter the decimal equivalent of the following:

Nine hundred eight and seven hundredths
_

Answers

Answer:

908.07

Step-by-step explanation:

We know there is nine hundered and eight so lets put that.

908.

Then we know that there are seven hundredths, one number to the right of a decimal is a tenth, so lets go one more to the right. We put seven to the right of the tenth decimal place. Now we have:

908.07

Someone please help me out with this question

Answers

Answer:

c, b, a

Step-by-step explanation:

1. DNE stands for does not exist and is there because of dividing by zero, and when you are dividing by zero like the slope is 4/0 or something the line is vertical.

2. when the slope is 0 it is not sloping at all so it is horizontal.

3. the slope is 9 so it will be a steep uphill slope.

Please please help me!!
solve the system of equations by the substitution method.
{ 21x + 7y = 41
{ -3x = y + 6

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is __ ( type an ordered pair. Simplify your answer.)
B. There are infinitely many solutions.
C. There is no solution.

Answers

Answer:

C. There is no solution.

Step-by-step explanation:

Similarly to the previous question, you want to substitute one of these equations into the other:

21x + 7y = 41

-3x = y + 6

But first, you need to isolate for a variable. I'm going to isolate for y in the second equation to avoid fractions.

-3x = y + 6

y = -3x - 6

Now that I've done that, I can now plug it into the first equation to solve for x:

21x + 7(-3x - 6) = 41

21x + -21x - 42 = 41

0x = 41

0 ≠ 41

Since 0 ≠ 41, these lines are parallel, which means that there are no solutions.

fraction or decimals that stop are known as _____numbers.
Partial
Rational

Answers

The answer is rational

Answer:

Step-by-step explanation:

Rational numbers are numbers that are terminating decimals or nonterminating, repeating decimals.

Like 3, -4, 7.166..

In a bag of marbles, 24% were green, 18% were purple, and the rest were yellow. If the bag has 150 marbles, how many were yellow?

Answers

Answer:

87

Step-by-step explanation:

24+18 = 42

100-42 = 58 so 58% of the marbles are yellow

58% of 150 is 87

87 yellow marbles

Answer:

87

Step-by-step explanation:

.24 x 150 then subtract the product from 150

.18 x 150 then subtract the product from the answer above

= 87

Please answer this correctly without making mistakes

Answers

Answer: take 20% off

Step-by-step explanation:

the first one is correct because you would be getting 20% off of any purchase.

Which inequality represents the graph below?
a y>2x+4
b y>-2x+4
c y>-2x+2
d y<-2x+4

Answers

Answer:

B. y > -2x + 4

Step-by-step explanation:

we know it's y greater than (>) because the shaded region is above the line. Its a dashed line because it's >. If it was ≤ or ≥ symbol it would be a bolded straight line not dashed.

We can tell from the graph that the y-intercept is (0,4). the slope is -2

Plz help me with this!?!? I will mark you brainliest plz and thank you!

Answers

Answer:

9

Step-by-step explanation:

(HELP ME)John just hired a new employee to work in your bakeshop. In one day, the employee burned 150
chocolate chip cookies out of 1,000 cookies made. What percent of the day's production, did
John's new employee burn?

Answers

Answer:

15%

Step-by-step explanation:

pls help I will fail 10th grade

Answers

Answer:

B) -6

Step-by-step explanation:

Placing a minus sign outside absolute value bars gives you a negative result For example, –|6| = –6, and –|–6| = –6.

Question
A globe of Earth is in the shape of a sphere with a radius of 14 inches. Find its a volume and b surface area.
Round the answers to the nearest hundredth.

Answers

Answer:

[tex]Volume = 11488.21[/tex]

[tex]Area = 2461.76[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 14\ in[/tex]

Shape: Sphere

Solving (a): The Volume

This is calculated as:

[tex]Volume = \frac{4}{3}\pi r^3[/tex]

Take [tex]\pi[/tex] as 3.14 and substitute 14 for r

[tex]Volume = \frac{4}{3} * 3.14 * 14^3[/tex]

[tex]Volume = \frac{4}{3} * 3.14 * 2744[/tex]

[tex]Volume = \frac{4 * 3.14 * 2744}{3}[/tex]

[tex]Volume = \frac{34464.64}{3}[/tex]

[tex]Volume = 11488.21[/tex]

Solving (b): The Surface Area

This is calculated as follows:

[tex]Area = 4\pi r^2[/tex]

Take [tex]\pi[/tex] as 3.14 and substitute 14 for r

[tex]Area = 4 * 3.14 * 14^2[/tex]

[tex]Area = 4 * 3.14 * 196[/tex]

[tex]Area = 2461.76[/tex]

Write the next whole number after 6467 in the base-eight system.

Answers

Answer:

30541

Step-by-step explanation:

8⁰ = 1

8¹ = 8

8² = 64

8³ = 512

8⁴ = 4096

8⁵ = 32768 > 6467

We have

6467 ÷ 8⁴ = 1 (mod 2371)

2371 ÷ 8³ = 4 (mod 323)

323 ÷ 8² = 5 (mod 3)

3 ÷ 8 = 0 (mod 3)

3 ÷ 1 = 3

=> 6467 in the base-eight system: 30541

2. Jennifer has $500 in her savings account to use to buy gas. She withdraws $25 per week for her gas. Which equation can be used to determine how many weeks, w, it will take for her to reduce her balance to $275?​

Answers

Answer:

You have a pic?

Step-by-step explanation:

I need help with the boxes someone help me please !.

Answers

Answer:

48/200= 0.24 cents per bead

0.24*25= $6

Multiply. Write the answer in simplest form.

2/3×4/7=

Answers

Answer:

8/21

Step-by-step explanation:

Multiply numerator by numerator, denominator by denominator:

(2 x 4) / (3 x 7)

8/21

The scores on a test given to all juniors in a school district are normally distributed with a mean of 77 and a standard deviation of 8.

Find the percent of juniors whose score is between 61 and 77.

The percent of juniors whose score is between 61 and the mean is

There are no options

Answers

Answer:

I ate my dog yesterday and I couldn't find him so I had to buried him, so do you think you could help me find him

Step-by-step explanation:

Answer:

i need the same answer please someone give itttttttttttttttttttttttttttttttttttttttttttttt

Step-by-step explanation:

What are the solutions to the quadratic equation 4x^2= 64?
Ox=-16 and x = 16
Ox=-8 and x =8
Ox= -4 and X = 4
Ox=-2 and x =2

Answers

Answer:

x=4 or -4

Step-by-step explanation:

4 squared is 16, and 4 times 16 is 64

The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.

What is Square root?

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have,

given that,

the quadratic equation 4x^2= 64

now, we have to simplify the equation,

at first, take 4 common from both sides,

we get,

x^2= 16

now, taking square root on both side, we get,

x = ±4

Hence, The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.

To learn more on square root click:

brainly.com/question/29286039

#SPJ7

1.1 Paul leaves from Johannesburg to Limpopo and has to travel 300km to get to his destination: If he travels at a constant speed of 75 km per hour, how many hours will it take him to get there?

1.2 And if he only has 90 minutes to get to his destination, what speed must he travel to get there on time?

Answers

Answer:

4 hours ; 200 kmph

Step-by-step explanation:

Given that :

Distance to be covered = 300 km

Speed of travel = 75kmph

Number of hours it will take to get to destination :

Time taken = Distance / speed

Time taken = 300 km / 75 kmph

Time taken = 4 hours

2.) If he has 90 minutes to get to destination, required speed will be ; 90 minutes = 1.5 hours

Speed = distance / time

Speed = 300 km / 1.5 hours

Speed = 200 kmph

Together, teammates Pedro and Ricky got 2678 base hits last season. Pedro had 282 more hits than Ricky. How many hits did each player​ have?

Answers

Answer:

pedro- 1621

ricky- 1057

Step-by-step explanation:

christopher bought a six-pack of soda for 1.50. each can holds 2 fluid ounces. identify the total quantity of each unit in the problem a. cans b. dollars c. cents d. six packs e. ounces f. cases

Answers

The total quantity of each unit in the problem is ounces

What is the volume of a can of soda in ounces?

A can of soda weighs about 2 fluid ounces and in pack of soda, there are 2 cans of soda, which means that total quantity of each unit in the problem can be determined in ounces.

Six packs is not a unitary measure, because each pack has 12 cans , which means that six packs translate into 72 cans(6 packs*12 cans), also, the can itself is made of ounces, hence, measuring the unit of soda in cans is not appropriate where each can is about 2 ounces

Find out more about ounces on:https://brainly.com/question/14929476

#SPJ1

a tortoise is walking in a desert. it walks at a speed of 5 meters per minute for 156.25 meters. for how many minutes does it walk?​

Answers

Answer:

31 1/4 minutes

Step-by-step explanation:

156.25/5= 31.25

Answer:

31.25 minutes

Step-by-step explanation:

156.25 divided by 5 is 31.25

what is H, help please

Answers

Answer:

9

Step-by-step explanation:

To find the height of a right angular cone, the formula is: [tex]\sqrt{l^{2} - r^{2}}[/tex]

Height = [tex]\sqrt{15^{2} - 12^{2}}[/tex]

           = [tex]\sqrt{225 - 144}[/tex]

           = [tex]\sqrt{81}[/tex]

           = 9

the radius of a cone is 15,the slant height is 12

calculate the height

h = √(s2 - r2)

H=√[12^2-15^2]

H=√ (144-225)

H=√-81

the square root of -81 is not considered as a number

hence,

the - is removed

= √81

=9

Please I need help with the question

Answers

Answer: Yes please tell us the question.

Step-by-step explanation:

Can you attach a photo of the question please? thx!

expand and simplify 2(x+7) + 3(x+1)

Answers

Let's simplify step-by-step.

2(x+7)+3(x+1)

Distribute:

=(2)(x)+(2)(7)+(3)(x)+(3)(1)

=2x+14+3x+3

Combine Like Terms:

=2x+14+3x+3

=(2x+3x)+(14+3)

=5x+17

your answer is 5x+17

Cesar has a piece of string that he wants to use to compare how far is cat's bed and his dog's bed are from their shared water bowl..The string is a lot longer than the dog's path to the bowl. The string is a lot shorter than the cat's path to the bowl. Whose path is shorter to the water bowl, the dog's or the cat's? ​

Answers

Answer:

The dogs path is shorter to the water bowl

Step-by-step explanation:

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