Mathematics College

What is the prime factorization of 990?

2 x 3 x 52 x 11

2 x 3 x 5x 11

2 x 32 x 5 x 11

22 x 3 x 5x 11

Answers

Answer 1

Answer:

2 x 3² x 5 x 11

Step-by-step explanation:

990 ÷ 2 = 495 so 2 is one factor

495 ÷ 2 = 247.5 - There is a remainder. So we can't divide by 2 anymore. Use next prime number

495 ÷ 3 = 165 - No remainder. So 3 is one factor

165 ÷ 3 = 55 - No remainder. So 3 is one factor

55 ÷ 3 = 18.3333 - There is a remainder. We can't divide by 3. Use next prime number

55 ÷ 5 = 11 - No remainder. So 5 is one factor

11 ÷ 5 = 2.2 - There is a remainder. We can't divide by 5. Use next prime number

11 ÷ 7 = 1.5714 - This has a remainder. So 7 is not a factor.

11 ÷ 11 = 1 - No remainder. SO 11 is one factor

Now put it together: 2 x 3² x 5 x 11

Factor trees also help. Have a good day or night

Related Questions

what does the 5 in 56.13 represent as a decimal

Answers

Answer: 50

Step-by-step explanation:

5 = Fifty

6 = Six

. = decimal

1 = One tenths

3 = Three hundredth

Each big square below represents one whole.
What percent is represented by the shaded area?

Answers

Answer:

145%. The left one is 100% and then the right is the 45%.

Find the slope of the line passing through the points (-4,7) and (2,-9)

Answers

Answer: The slope is -8/3

Step-by-step explanation: Use the slope formula y2-y1/x2-x1

so -9-7/2-(-4) = -16/6 which can be divided by 2 to get -8/3

A plane flies 15 miles in 20 seconds. How long would it take the plane to cover 30 miles?

Answers

Answer:it would take the plane 40 seconds

Step-by-step explanation:

if you multiply by two then you would be able to get 30

like 15 times 2 and since it’s 15 miles to 20 seconds or 15:20 you would have to multiply by the same number.

Which facts could be applied to simplify this expression? Check all that apply.
5x+3y+(-x)+6z
To add like terms, add the coefficients, not the variables.
First add 5x + x.
The simplified expression is 4x+3y+ 6z.
Only combine terms which contain the same variable.
The simplified expression is 5x+3y +6z.

Answers

Answer:

Step-by-step explanation:

To add like terms, add the coefficients, not the variables.

The simplified expression is 4x+3y+ 6z.

Only combine terms which contain the same variable.

PLEASE PLEASE HELP PLEASE PLEASE HELP ME PLEASE PLEASE HELP PLEASE PLEASE HELP ME PLEASE PLEASE HELP PLEASE PLEASE HELP ME PLEASE PLEASE HELP PLEASE PLEASE HELP ME PLEASE PLEASE

Answers

Answer:

1. x = 3

2. x = 2 and x= 4

3. y = -8

4. Downward

5. (3,1)

Step-by-step explanation:

Y-intercept: y value at which the value of x=0

X-intercept: x value at which the value of y=0

Vertex: point of change that includes the highest possible value of y (notatable by (x,y))

Downward extension

A question on a test provides this graph and asks students to find the speed at which the car travels. Anna incorrectly says that the speed of the car is 1/64 mile per hour.

What is the speed of the car?

What error might Anna have made?

Answers

Answer:

A question on a test provides this graph

You, however, did not provide the graph.

Please repost the question along with the graph.

The speed is the rate of change of distance with respect to time thus the speed according to the graph will be 60 miles per hour so Anna interchanged distance and time by mistake.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given graph.

Speed = distance traveled /  time taken

Speed = 60 / 1 miles per hour

But Anna says 1/60 this means Anna took time taken / distance traveled instant of distance traveled /  time taken.

Hence "The speed is the rate of change of distance with respect to time thus the speed according to the graph will be 60 miles per hour so Anna interchanged distance and time by mistake".

To learn more about the rate of change here,

brainly.com/question/12786410

#SPJ2

Which equation represents this sentence?
4 times the difference of 10 and a number is equal to 28
o
-
-
4(y – 10) = 28
• 4 (10 - y) = 28
10 – 4y = 28
- 4y - 10 = 28

Answers

Answer:

2nd choice

Step-by-step explanation:

4(10-number)=28

4(10-y)=28

The second equation, 4(10 - y) = 28, represents the given sentence.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given sentence is "4 times the difference of 10 and a number is equal to 28".

Let the unknown number be y, then the sentence can be written as:

4(10 - y) = 28

Hence, the second equation, 4(10 - y) = 28, represents the given sentence.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ2

It took Kelly 5 2/3 hours to fly from City A to City B then it took her another 2 3/5hours to fly from City B toCity C. Kelly flew a total how many hours?

Answers

Answer:

eto na po

Step-by-step explanation:

5 2/3 × 2 3/5 = 5 6/15 answer

just add 5 2/3 to 2 3/5!
the answer is 8 4/15
workings: you can convert the fractions to an improper fraction and add them, it would be easier!
5 2/3 > 17/3 (eq 1)
2 3/5 > 13/5 (eq 2)
after conversion, you must make the denominator the same, the common multiple is 15
take eq 1 multiply by 5 > 85/15
take eq 2 multiply by 3 > 39/15
85/15 + 39/15 = 124/15!!
124/15 convert back to mixed fraction > 8 4/15
hope it helped :D

For a card trick, Barry is using 15 cards from a deck. If each suit he uses has 4 numbered cards and c face cards, which expression shows how many suits he is using?
A.
15 × 4 + c
B.
15 ÷ (4 + c)
C.
15 ÷ 4 + c
D.
15 × (4 + c)

Answers

Answer:

Answer is B

Step-by-step explanation:

I need step by step instructions on how to divide 708 by 9

Answers

Answer:

Here are the steps

Step-by-step explanation:

708 divided by 9

9 goes into 7 zero times,

9 goes into 70 seven times (63)

so carry the seven

drop the 8

9 goes into 78 eight times

subtract 72

brings you a remainder of 6

So it is 78 remainder 6

(Would appreciate brainliest)

can someone help please?

Answers

Answer:

m = -4

Step-by-step explanation:

In y=mx+b m is slope, and b is y-intercept.

In this case m = -4

Hope this helps :)

Find the percent decrease. Round to the nearest percent.


From 90°F to 55°F

Answers

Answer:

39% decrease

Step-by-step explanation:

To find the decrease, subtract 55 from 90

90 - 55 = 35

Divide 35 by the original temperature -

35/90 = 0.388

Multiply 0.388 by 100 to find the percent -

38.8%

Round to the nearest percent -

39%

How do you write 70% as a fraction?

Answers

Answer:

7/10

Step-by-step explanation:

70% is equal to 0.7 in other words 7/10 is the most simple form.

write the following number in expanded form: 602.97
and explain

Answers

Answer:

0.07+0.9+2+600 is the expanded form

What is the domain of the graph for the data set?
1976
5.027 < domain < 15.485
1908 < domain < 1981
any year in the twentieth century

Answers

our answer choices are a bit different so i'm assuming our data set is as well. but my correct answer was my third option, which was 1908 ≤ domain ≤ 1996, so i'm assuming it will be the third option for you as well.

next time include everything that is needed to answer the question so you can actually get your answer. for this you need a data set.

the data set for me is attached below. it shows the annual consumption of cheese per person in the United States for selected years in the twentieth century.

Select the expression that represents the additive inverse of -12/5.

A. 12/5
B. 5/12
C. -5/12
D. -12/5

Answers

Which of the following are steps necessary to ensure patient safety? O a) Make sure that the medication is dispensed in the same units in which it was prescribed. Ub) Review any calculation questions with the pharmacist. c) Check to see if there's a better medication for the patient's problem. d) Dispense an extra dose to save the patient from having to return in case of loss or damage to one of the doses. O e) Compare the label on the medication with the order from the physician.

Whta is the area of this figure 3ft 4ft 2ft 1ft 8ft

Answers

The answer is 192. 3 times 4 times 2 times 8 equals 192 (you can skip the one since it doesn't change the process

192, because I used a calculator

Find the slope of the line using the graph. Write an equation of the line using the graph.

Answers

Answer:

slope: -3equation: y = -3x +5

Step-by-step explanation:

The slope formula can be used with the marked points.

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -2)/(2 -1) = -3/1 = -3

The graph apparently intersects the y-axis at y=5, so the slope-intercept equation is ...

  y = mx +b . . . . . . . line with slope m and y-intercept b

  y = -3x +5

Evaluate the expression when y=9 and x=7.
8y + x

Answers

Solution:8y + x; y = 9, x = 78(9) + 772 + 779

Answer:

79
Evaluate the expression when y = 9 and x = 7. 8y + x79

Solution:

y = 9, x = 7

8y + x8(9) + 772 + 779

;-;

Contempory Math


A person wants to purchase a DVD drive for his laptop computer. Assume that 79% of the drives are made outside the United States. Of the U.S -made drives, 3% are defectives and of the foreign-made drives, 9% are defective. Determine the probability that the drive purchased is U.S made and is not defective.

Answers

Answer:

20 or close to 20

Step-by-step explanation:

find the square root of -25

Answers

Answer:

5

Step-by-step explanation:

Answer:

5i

(i represents that the number is "imaginary", because you can't actually have a negative root.)

Step-by-step explanation:

Hope this helps :)

A family of 6 members that is made up of Papa, Mama and their 4 children go to the stadium to watch the Peru playoff game. They find 6 available seats together in the same row. How many ways can they be located if parents have to stay to the ends?

Answers

I believe the equation for formulas is

n!/(r!•(n-r)!)

n will be the total number of items, in this case, 6. r is the number of items being chosen, in this case, 4.

n! in this case will be:
6 • (6-1) • (6-2) • (6-3) • (6-4) • (6-5) = 6 • 5 • 4 • 3 • 2 • 1 = 720

r! will be:
4 • (4-1) • (4-2) • (4-3) = 4 • 3 • 2 • 1 = 24

Now to get (n-r)!
(n-r) = 2
(n-r)! = 2 • (2-1) = 2 • 1 = 2

So now we have:
720/(24 • 2) = 720/48 = 15

Then you would multiply by 2 because the parents each have two spots can sit in (the ones on the end) so the answer is 30.

I hope this helps.

72 divided by x=3.16 divided by .015

Answers

Answer:

x = 0.34177215

Step-by-step explanation:

 

Answer:0.3418

Step-by-step explanation:

please help i will give brainliest to one who answers

You and a friend work at a job, The job paid $20 and you and the friend have to split it evenly, except your friend must make $1.00 more. How much will each of you get?5 sentences, please help i will give brainliest to one who answers

Answers

Answer:

20 ÷ 2 is 10. and since your friend you smoke $1 more they would get 11 dollars and you would get $9

9.
Write an equation for the translation of y = |x|.

16.5 units right

A. y = |x + 16.5|

B. y = |x| + 16.5

C. y = |x| – 16.5

D. y = |x – 16.5|

Answers

Answer:

D

Step-by-step explanation:

Answer:

D.    y = |x – 16.5|

Step-by-step explanation:

I got this answer correct on Gradpoint

3. Tickets to a show cost $5.50 for adults and 54.25 for students. A family is purchasing2
adult tickets and 3 student tickets.

Answers

.

Step-by-step explanation:The cost of an adult ticket to the show is $5.5

The cost of a student ticket to the show is $4.25

A family is purchasing 2 adult tickets and 3 student tickets. This means that the total cost of 2 adult tickets would be

2 × 5.5 = $11

It also means that the total cost of 3 student tickets would be

3 × 4.25 = $12.75

The total cost of 2 adult tickets and 3 student tickets would be

11 + 12.75 = $23.75

If the family pays $25, the exact amount of change they should receive is

25 - 23.75 = $1.25

Can someone help me out?

Answers

Answer:

I think the answer might be 58 sorry if i'm wrong

Step-by-step explanation:

What is the first 100 diget of pi?

Answers

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

A private club grew by 7 members each week for 35 weeks. What was the total change in the club's size?

Answers

Answer:

The change is 245 members

Step-by-step explanation:

7x35=245

Other Questions
Find the value of n1/(cube 7)^5=7^n The sum of the reciprocal of two consecutive integers is -17/72. Find the two integers True or false? The Quartering Act required the people of Great Britain to provide food and shelter for people from the colonies. 1. What is the primary composition of the objects that make up the Kuiper Belt?Frozen rock, silicon, and metalsFrozen methane, ammonia, and waterFrozen iron, silicon, and sedimentFrozen methane, rock, and metals9 If3sin (2x/1+x)-4cos(1x/1+x)+2tan(2x/1x)=/3. Then, x=.a 1/3 b1/2 c 2 d 1 Plssss help me with this question!!! Will mark the best answer brainiest!!! Pls and thank you, take care, God bless you:)) Choose the indirect object in the sentence below. Mom made Sue a birthday cake. Mom Sue birthday cake Imagine a world where there are only two countries. In country A, the people spend 80% of their marginal income. In country B, the people spend 60% of their marginal income. In which country would fiscal policy be more effective and why 3. A qu gnero literario pertenecen las siguientes obras?A. La Iliada - EpicoB. Edipo Rey - FragediaC. Los Gallinazos sin plumasD. La EneidaE. Conversacin en la CatedralF. Los Heraldos Negros lricoG. El Viejo y el MarH. Las Flores del MalI. HuasipungoJ. Bodas de Sangre Dramtico Find the slope of the line using the graph. Write an equation of the line using the graph. A carrier is someone who "carries" a recessive allele but who has the dominant trait because he or she is heterozygous.FalseTrue A family of 6 members that is made up of Papa, Mama and their 4 children go to the stadium to watch the Peru playoff game. They find 6 available seats together in the same row. How many ways can they be located if parents have to stay to the ends? Why was Edith Cavell used in anti-German propaganda posters?She was executed by Germany for treason.She was a victim in the bombing of the Lusitania.She developed propaganda against Allied nations.She was a spy for the German government. Read the excerpt from act 2 of A Doll's House.Helmer: [putting his papers together] Now then, little Miss Obstinate.Nora: [breathlessly]. Torvaldwhat was that letter?Helmer: Krogstad's dismissal.Nora: Call her back, Torvald! There is still time. Oh Torvald, call her back! Do it for my sakefor your own sakefor the children's sake! Do you hear me, Torvald? Call her back! You don't know what that letter can bring upon us.Helmer: It's too late.Nora: Yes, it's too late.Helmer: My dear Nora, I can forgive the anxiety you are in, although really it is an insult to me. It is, indeed. Isn't it an insult to think that I should be afraid of a starving quill-driver's vengeance? But I forgive you nevertheless, because it is such eloquent witness to your great love for me. [Takes her in his arms.] And that is as it should be, my own darling Nora. Come what will, you may be sure I shall have both courage and strength if they be needed. You will see I am man enough to take everything upon myself.Nora: [in a horror-stricken voice]. What do you mean by that?Helmer: Everything, I sayNora: [recovering herself] You will never have to do that.Helmer: That's right. Well, we will share it, Nora, as man and wife should. That is how it shall be. [Caressing her.] Are you content now? There! There! Not these frightened dove's eyes! The whole thing is only the wildest fancy! Now, you must go and play through the Tarantella and practise with your tambourine. I shall go into the inner office and shut the door, and I shall hear nothing; you can make as much noise as you please. [Turns back at the door.] And when Rank comes, tell him where he will find me. [Nods to her, takes his papers and goes into his room, and shuts the door after him.]Nora: [bewildered with anxiety, stands as if rooted to the spot, and whispers] He was capable of doing it. He will do it. He will do it in spite of everything. No, not that! Never, never! Anything rather than that! Oh, for some help, some way out of it! [The door-bell rings.] Doctor Rank! Anything rather than thatanything, whatever it is! [She puts her hands over her face, pulls herself together, goes to the door and opens it. RANK is standing without, hanging up his coat. During the following dialogue it begins to grow dark.]How does the interaction between Helmer and Nora affect the plot?Nora realizes that Helmer's actions are intended to preserve his masculinity, not their marriage.Nora realizes that, no matter what the letter says, Helmer will still love her as much as he does now.Nora comes to understand that Doctor Rank is more important to Helmer than she is.Nora comes to understand that Helmer wants to share more responsibilities in the marriage now A/An ____ is an open order, usually effective for 6 months to one year, covering routine purchases of an item or family of items. a. pending order b. completed order c. order acceptance d. outstanding order e. blanket purchase order please help help help help help helpwhat come in between 1_3456789answer correctly and you can get branliest Which of the following numbers is a common multiple of 5 and 9? Twice the quantity of 8 more than a numberoptions:2(x+8)2x+88x+22x-8 What is the first 100 diget of pi?