The prime factorization of 100 is 4x25. Show a factor tree!

Answers

Answer 1

Answer:

See details below:

Step-by-step explanation:

We can start with the biggest factors and work our way down to see how arrive at 4 * 25.

In this case, the first part of the tree would be 50 * 2.

2 is prime, but 50 is not and thus must be factored.

Two possible factors of 50 are 2 and 25.

The 25 is not a prime number and must be factored further.

Two possible factors of 25 are 5 and 5.

Thus, the prime factorization of 100 is 2*2*5*5.

Then to simplify, we can combine the similar factors:  (2*2) * (5*5) = 4*25

I hope this makes sense

The Prime Factorization Of 100 Is 4x25. Show A Factor Tree!

Related Questions

Arnav is also selling boxes of cookies he sells each box for 3.75 his goal to make more than 30 how many boxes of cookies could he sell to reach his goal

Answers

30/3.75=8 but he wants to make more than 30 so he should sell 9

Phil bought a new calculator. It cost $12.40. The tax rate is 7.25%. Calculate the sales tax.

Answers

Answer:

$0.90

Step-by-step explanation:

0.0725(12.40) = 0.899
0.899 = 0.90
Hope this helps :)

Write down a number which is •a multiple of 4. •a factor of 400. •not 4 or 400

Answers

Answer:

200

Step-by-step explanation:

4 multiplied by 50 = 200

400 divided by 200 = 2

so it is both a factor of 400, a multiple of 4, and it's neither 4 nor 400 :)

the drop down box numbers are 39, 90, 120, and 180

Answers

Answer:

Im thinking the answer is 90.

Step-by-step explanation:

There are 360 and that is a small section for 120 or 180 people to all take a break at.

-Hope this helps!

-Justin

For each equation how many solutions why?
Question e

Answers

Answer:

one real solution

Step-by-step explanation:

it has only one solution since it is a linear graph and only intercepts the x axis once

Help in this question if you are able to .solve it

Answers

This question is asking for the y-intercept. The y-int is when x = 0.

First, plug in x as 0...

y = 3(0) + 5

y = 0 + 5

y = 5

Lines come in the form y = mx + b

m is slope, b is the y-intercept

what are the coordinates of a point where graph of y=x2+3x+2 crosses the x axis

Answers

Answer:

x= -2, 0

Step-by-step explanation:

log2^2-log2^16 what is the answer

Answers

Answer:

-4.1-4.1212

Step-by-step explanation:

Log2^2-log 2^16

log2^2/2^16

log2^2-16

log2^-14

-14log2

-14×0.3010

-4.1-4.1214

A square pyramid has
a base edge of 8 inches
and a surface area of 304
square inches. Find the
Slant height of the
pyramid.

Answers

The slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

What is the Surface Area of a Square Pyramid?

Surface area (SA) = a² + 2al

Given the following parameters:

Surface area = 304 sq. in.a = 8 in.l = ? (slant height)

Plug in the values into (SA) = a² + 2al:

304 = 8² + 2(8)l

304 = 64 + 16l

304 - 64 = 16l

240 = 16l

240/16 = l

15 = l

l = 16

Therefore, the slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

Learn more about surface area of a square pyramid on:

https://brainly.com/question/12876583

someone help me out please Extra points please!

Answers

Answer:

4.2

Step-by-step explanation:

The square root of 18 is 4.24

So, on this number line, it should go about 1 cm away from 4 to indicate that it is not 4, but 4.2.

Put the dot where you think it would be appropriate to be labled as 4.2.

Also if you didnt know the x axis is the one on the bottom.

HELP PLEASE
30 POINTS + BRAINLYEST!!!!!
(no links please)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.

Use pi = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

Answers

Cone:

radius r = 4 inches

height h = 18 inches

volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³

Cylinder:

r = 4 inches

h = 3 inches

volume = πr²h = (3.14)(4²)(3) = 904.32 cm³

Volume of cylinder is three times the volume of cone

PLEASe help!!! hurrry!!

Answers

Answer:

x is 6 degrees

Step-by-step explanation:

so its 90 degress, how do i know? because it is parrallel to the one with a half square (the 90 degrees) so we equal the angels to 90  because they are equal to 90 (sorry if it sounds confusing, if you want i can still explain more later)

7x + 8x = 90

15x = 90

x = 90/15

x = 6

Answer:

See Below.

Explanation:

Both the angles lie inside a right angle, whose total sum is 90 degrees.

Solve:

7(x) + 8(x) = 90°15(x) = 90°x = 6°

Each of the angle:

7(x) ⇒ 7(6) = 42°

8(x) ⇒ 8(6) = 48°

Please Help! will give Brainlest!

Answers

Answer:

y = 0

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values of the function.

maximum = 0.5 and minimum = - 0.5 , then

y = [tex]\frac{0.5-0.5}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0

the equation of the midline is y = 0 ( that is the x- axis )

Answer:

y=0

Step-by-step explanation:

y = 0.5−0.52\(0.5-0.5)(2)

2

0.5−0.5

= -0.02/0

= 0

The midline is y=0

Name the circle
Will give a lot of points!!! ASAP

Answers

Circle KJI center L, radius LK/diamter KI?

given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 24 nd DC = 12, what is the length of AD?

Answers

Answer:

Step-by-step explanation:

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

Jill bought 3 pints of blueberries for $3.02 each. What is the best estimate of how much Jill spent

Answers

Answer: 9.06

Step-by-step explanation:

Do; 3.02+3.02+3.02

This adds up to 9.06


You use 4 gallons of water on 30 plants in your garden. At that rate, how much water
will it take to water 45 plants?


Answers

Answer:

6 gallons

Step-by-step explanation:

30-----------4

45------------x

30x = 45x4

30x=180

x=6

                        A shortcut:

45 is ( 30+ half of 30)

( 4 + half of 4) = 4+2 =6

Answer:

6 gallons

Step-by-step explanation:

[tex]Assuming\ that\ it\ will\ take\ x\ gallons\ waters[/tex]

[tex]to\ water\ 45\ plants.[/tex]

[tex]4:30=x:45[/tex]

  [tex]30x=4\times 45[/tex]

     [tex]30x=18[/tex]°

         [tex]x=180\div 3\\ x=6[/tex]

[tex]\left\{If\right.\ a:b=c:d,\ then\ ad=\left.\ bc\right\}[/tex]

I hope this helps you

:)

Help, me and my partner are timed, no links thx

Answers

Answer:

9/12

Step-by-step explanation:

There are 3 pies, the total amount of slices before they were eaten is 12. If you add the slices left..3+3+3 that would be 9

Answer:

D: 2 1/4

Step-by-step explanation:

I'm not really sure though. But since there are 3 apple pies if you take one slice from one of the pies and add it to another pie it will make one whole pie and then after there is one whole pie you do the same to another pie and their is 2 whole pies and their is one slice remaining and there is 4 whole slices in a whole pie so there fore I'm guessing that the answer is 2 1/4

I hope that helped. :)

what is the numerical coefficient of a+4a^3-6a^2+2a^4

Answers

Answer:

 2a2 • (a + 1) • (a - 3)

Step-by-step explanation:

-a • (192a2 + 192a - 13)

PLEASE PLEASE HELP !! The translation below is used on all three triangles.
(x, y) → (x, y + 1)
What happens to the triangles? Which answer would it be A, B, C, or D?
(I WILL MARK AS BRAINLIEST! PLEASE HELP!)

(A) They all move 1 unit to the right.
(B)They all move 1 unit to the left.
(C)They all move 1 unit down.
(D)They all move 1 unit up.

Answers

Answer:

D

Step-by-step explanation:

They all move 1 unit up.

The mapping notation essentially tells you, what you do to each point to get the image point.

In this case (x,y)→(x,y+1) is telling you, for any given coordinate on the original, you add 1 to its y coordinate. Adding 1 to a y coordinate moves it up one unit.

please HELPPP! I have been stuck on this for too long.

Answers

I believe the answer is B

What is the rule and how do you find n? 100 points to answer!

Answers

Answer:

n = 17

Rule:  y = 2x + 1

Step-by-step explanation:

By inspection of the first two ordered pairs in the given table, it appears that for each 1 unit increase in x, y increases by 2 units.

To check this, write the ordered pairs with 5 ≤ x ≤ 10 using this rule:

(5, 11)  (6,13)  (7, 15)  (8, 17) (9, 19) (10, 21)

As the ordered pair (10, 21) appears in the table, then we can confirm that this is the rule and that it is a linear function.

If y increases by 2 units for every 1 unit increase of x, then the slope of the linear function will be 2.

Using the point-slope form of a linear function: [tex]\sf{y-y_1=m(x-x_1)}[/tex]

(where m is the slope and [tex]\sf(x_1,y_1)[/tex] is a point on the line)

Given:

m = 2[tex]\sf(x_1,y_1)=(5,11)[/tex]

Substituting these values into the formula:

[tex]\implies \sf{y-11=2(x-5)}[/tex]

[tex]\implies \sf y=2x+1[/tex]

Therefore, the rule is [tex]\sf y=2x+1[/tex]

To find n, simply substitute x = 8  and y = n into the equation:

[tex]\implies \sf n=2(8)+1=17[/tex]

Therefore, n = 17

Take 2 points and form equation

(5,11)(6,13)

Slope:-

m=13-11/6-5=2

Equation in point slope form

y-11=2(x-5)y-11=2x-10y=2x+1

So

for n

n=2(8)+1n=16+1n=17

Help PLSS
(will give brainliest!)

Answers

Answer:

D (last one)

Step-by-step explanation:

You figure out the ordered pair for E which is (3,-4)

Then you apply the rule given in the instructions.

so you do 3+8= 11 so x = 11

then -4+5= 1 so y = 1

So you get (11,1)

Ben runs 3/4 mile each day.How many Miles Does ben run in 12 days

Answers

Answer:

9 miles

Step-by-step explanation:

0.75x12=9

or

75x120=90

90/10=9

If Ben runs 3/4 mile each day than he runs 9 miles in 12 days.

To find out how many miles Ben runs in 12 days

we need to multiply the distance he runs each day (3/4 mile) by the number of days (12).

First, let's convert 3/4 mile to a decimal:

3/4 mile = 0.75 mile

Now, we can calculate the total distance Ben runs in 12 days:

0.75 mile × 12 days

= 9 miles

Therefore, Ben runs 9 miles in 12 days.

To learn more on Unit of Measurement click:

https://brainly.com/question/12629581

#SPJ6

Over a season in a women's basketball league Jackson scored 42 more points than the second-highest scorer, Leslie. Together, Jackson and Leslie scored 1144 points during the season. How many points did each player score
over the course of the season?

Answers

First, you know that Jackson (let call her J) scored 42 more points than L (Leslie).  What we don't know is how many points L scored so we can use a variable that will be 'x'.

So the equation will be J=42+x.

We also know that the total points is 1,144.

To find out what x is we first subtract 1,144-42.  We then get 1,102.

We are now left with 2x and 1,102 so we divide 1,102 by 2 and get 551.

551=x so now we can plug that in.

J = 551 + 42

Jackson scored 593 points and Leslie scored 551 points

(You can use bar modeling to do solve this problem.  An example of bar modeling is shown below.  

You are starting a savings account for college. You put $1,000 in as your starting balance. You earn simple interest at 10% every year. You also must pay 30% income tax on the interest earned annually. Calculate the balance for the account after 5 years

Answers

Answer:

$1,350

Step-by-step explanation:

Simple interest formula

I = Prt

where:

I = interestP = principalr = interest rate (in decimal form)t = time (in years)

Given:

P = $1,000r = 10% = 0.1t = 5 years

⇒ Total interest earned = 1000 × 0.1 × 5 = $500

If you have to pay 30% income tax on the interest earned annually, then you will keep 70% of your earned interest.

⇒ 70% of $500 = 0.7 × $500 = $350

Account balance = principal + interest earned after tax

                             = $1,000 + $350

                             = $1,350

please help me out with these two problems

find X and Y

Answers

Answer:

Step-by-step explanation:

I'll work on the left triangle first:

tan 20 = x /10

x = 10tan 20 = 3.64

cos 20 = 10/y

y = 10/cos20 = 10.64.

tan 70 = 12/x

x = 12/tan 70 = 4.37.

sin 70 = 12/y

y =  12/sin70 = 12.77.

Nguyen wants to buy a tire that normally costs $86.25. It is currently on sale for $84 25. What is the percentage discount? Round your answer to the nearest tenth.​

Answers

Cost price=86.25$Sale price=84.25$

Discount=86.25-84.25=2$

Percentage discount

[tex]\\ \rm\rightarrowtail \dfrac{2}{86.25}{100}[/tex]

[tex]\\ \rm\rightarrowtail 0.0232(100)[/tex]

[tex]\\ \rm\rightarrowtail 2.32\%[/tex]

Answer:

2.3% (nearest tenth)

Step-by-step explanation:

[tex]\sf percentage \ change =\dfrac{|final \ value - initial \ value|}{initial \ value} \times 100\%[/tex]

Given:

initial value = 86.25final value = 84.25

[tex]\sf \implies percentage \ change =\dfrac{|84.25-86.25|}{86.25} \times 100\%[/tex]

[tex]\sf \implies percentage \ change =\dfrac{2}{86.25} \times 100\%[/tex]

[tex]\sf \implies percentage \ change =2.3\% \ (nearest \ tenth)[/tex]

An office supply store in Newport purchased a printer at a cost of $175 and marked it up 45%. Later on, Oliver bought the printer. If the sales tax in Newport is 12%, how much did he pay in all?
please help asap would appreciate it ty

Answers

Answer: $284.20

Step-by-step explanation:

In the picture

A equals 10. Find the measure of ZWY

Answers

Answer:

8a-9=7a+1 (inscribed angle are equal standing on the arc)

8a-7a=1+9

a=10

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