find the greatest common factor of 12w^4 and 5y^3​

Answers

Answer 1

Answer:

1.

Step-by-step explanation:

The greatest common factor is the largest positive integer that divides evenly into all numbers with zero remainder.

So, let's factor each number:

12w⁴: To factor it, factor 12 and w⁴ separately.

12: 1, 2, 3, 4, 12

w⁴: 1, w, w², w³, w⁴

So, the factor of 12w⁴ is all the combinations of the factor of 12 and w⁴.

1, 2, 3, 4, 12, 1w, 2w, 3w, 4w, 12w, 1w², 2w², ..., 12w⁴

5y³: To factor it, factor 5 and y³ separately.

5: 1, 5

y³: 1, y, y², y³

So, the factors of 5y³ are all the combinations of the factor of 5 and y³.

1, 5, 1y, 5y, 1y², ... , 5y³

The only factor that 12w⁴ and 5y³ have in common is 1.

Answer: 1.


Related Questions

How to do
Please add explanation ​

Answers

Answer:

x=1÷x+1

NOW

or,x=1÷×+1

or,xsquare=1÷1

or,xsquare=1

or,h=1 answer

Select the correct answer.
What is the solution for x in the equation?

-4 + 5x − 7 = 10 + 3x − 2x

A. x = 21/4

B. x = 4/21

C. x = 4/13

D. x = 13/4

Answers

Answer:

Its A x=21/4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

4) Rotation: 90° ccw about the origin​

Answers

Answer:

Graph attached

Step-by-step explanation:

Counterclockwise rule: (x, y) to (-y, x)

Hope this helps!

Dad caught 22 fish in the morning. He threw 5
back because they were too small. He caught 12
more in the afternoon. How many fish did dad
have then?


Is 29 the answer to this problem.

Answers

He caught 22 but put 5 back so had 22-5 = 17 fish

He then caught 12 more for a total of 17 + 12 = 29

Answer: 29 fish.

Answer:

The answer is 29 (so you were right!)

Step-by-step explanation:

He had 22 fish, and he threw 5 back

22 - 5 = 17

He caught 12 more in the afternoon

17 + 12 = 29

So, 29 is your answer.

please help me... I will give brainlist

Answers

Answer:

C

Step-by-step explanation:

609/504 = 1.208333333

58/48 = 1.208333333

They are proportional since they divide to the same number.

Please help me out.

Answers

Answer:

  a) y = 10x +500

  b) $500

  c) $15 for 100; $10.50 for 1000

Step-by-step explanation:

a)

We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...

  y = 10x +b

For 100 units, this is ...

  1500 = 10(100) +b

  500 = b . . . . . . . . subtract 1000

The cost function rule is ...

  y = 10x +500

__

b)

The fixed cost is the cost of producing 0 units:

  y = 10(0) +500

  y = 500 . . . . . . . the fixed cost in dollars

__

c)

The average cost (ac) of producing n units is the total cost divided by n:

  ac(n) = (10n +500)/n = 10 +500/n

The average cost for 100 units is

  ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units

The average cost for 1000 units is ...

  ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units

A box of 125 packets of artifical sweetener sells for 3.99
The 100 packs box is on sale in another store for 3.00
which is the better buyyer

Answers

Answer :

2nd  One

Explanation : 1st Is 498.75 And 2nd One Is 300.00

A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.

a. Graph the equation.
b. How much does a bracelet with three charms cost?

Answers

Answer:

  a.  see attached

  b.  $140

Step-by-step explanation:

a.

The graph starts at y=65 when x=0 and increases by 25 for each increase of 1 in x. The attachment shows a graph of the equation.

__

b.

Use x=3 in the equation.

  -25x +y = 65

  y = 65 +25x = 65 +25(3) = 140

A bracelet with 3 charms costs $140.

Geometry: Mathematical proofs

Answers

Answer:

B

Step-by-step explanation:

<3 and <2 are on a straight line.a straight line is 180° .so <3 +<2=180.angles which add up to 180 ° are said to be supplement

The best statement in geometric proof that proves the theorem that vertical angles are equal [tex]\angle2 + \angle3 = 180^{\circ}[/tex]  because ∠2 and ∠3 are linear pair.

In the given proof, where the angles are labeled as ∠1, ∠2, ∠3, and ∠4,  demonstrate the equality of vertical angles by utilizing the concept of a linear pair:

Step 1: Given two lines intersect.

Step2:

State that ∠1 and ∠2 are adjacent angles, as they share a common side.Introduce the concept of a linear pair, which states that if two angles form a straight line, their measures sum up to 180°. Since ∠1 and ∠2 form a straight line, their measures sum up to 180 degrees. Express the equation:                                                                             [tex]\angle1 + \angle2 = 180^{\circ}[/tex].

Step 3:

Demonstrate that ∠2 and ∠3 are also adjacent angles, sharing a common side.Apply the linear pair concept to ∠2 and ∠3, resulting in the equation: [tex]\angle2 + \angle3 = 180^{\circ}[/tex].

Step 4:

By comparing the equations  [tex]\angle1 + \angle2 = 180^{\circ}[/tex] and  [tex]\angle2 + \angle3 = 180^{\circ}[/tex], deduce that ∠1 and ∠3 are equal angles.

By following this step-by-step geometric proof,  establish that the best statement to prove the theorem "Vertical angles are equal when two lines intersect" is the statement that defines vertical angles as "Vertical angles are formed by adjacent angles sharing a common side

Learn more about geometric proofs here:

https://brainly.com/question/2065148

#SPJ6

Normal Distribution (Standard deviation)
Image attached! Due in 1 hour! please help!

Answers

I don't know what kind of calculator you have at your disposal, so I'll just give one way of computing the sample mean and standard deviation.

• To get the mean, add up all the data points and divide the total by the number of data:

[tex]\bar x = \displaystyle \sum_i \frac{x_i}n = \frac{1243+1264+\cdots+1275}9 \approx 1273.89 \\ \implies \boxed{\bar x \approx 1274}[/tex]

• To get the s.d. s, first compute the variance s² by adding up the squared difference between each of the data points and the sample mean, and divide the total by 1 less than the number of data:

[tex]s^2 = \displaystyle \sum_i \frac{\left(x_i-\bar x\right)^2}{n-1} = \frac{(1243-1274)^2+(1264-1274)^2+\cdots+(1275-1274)^2}8 \approx 1211.61[/tex]

The s.d. is the square root of the variance:

[tex]s^2 \approx 1211.61 \implies s \approx 34.8082 \implies \boxed{s\approx 35}[/tex]

The 90% confidence interval for the sample mean has upper and lower limits, respectively, of

[tex]\bar x \pm \dfrac{\left|Z_{\alpha/2}\right| s}{\sqrt n}[/tex]

(positive root for upper limit, negative root for lower limit)

where [tex]Z_{\alpha/2}[/tex] is the critical value for a (1 - α)×100% confidence level. By critical value, I mean

[tex]\mathrm{Pr}\left[ Z \le Z_c \right] = c[/tex]

where Z is a random variable following the standard normal distribution.

In this case, we have a 90% confidence level, so α = 0.1, and the critical value is [tex]Z_{0.05} \approx -1.64[/tex]. Then the confidence interval has upper limit

[tex]\bar x + \dfrac{\left|Z_{0.05}\right|s}{\sqrt n} = 1274 + \dfrac{1.64 \times 35}{\sqrt9} \approx 1292.97 \approx \boxed{1293}[/tex]

and lower limit

[tex]\bar x - \dfrac{\left|Z_{0.05}\right|s}{\sqrt n} = 1274 - \dfrac{1.64 \times 35}{\sqrt9} \approx 1254.8 \approx \boxed{1255}[/tex]

1. Amello has $25 to spend on maceuo this week. She loves lipstick och lostics . tube costs $4. What is the monimum number of lost'oks that she can
look at the pictures
one step inequality word problems​

Answers

Answer:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

Step-by-step explanation:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

4) A tree casts a 25-foot shadow. At the same time of day, a 6-foot man standing near the tree casts a 9-foot shadow. What is the height of the tree, to the nearest foot?

Answers

Answer:

22 feet shadow, I'm sorry if this is incorrect-

A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1540 feet, what are the dimensions of the field?

Answers

Answer:

700 by 70

Step-by-step explanation:

The equation for perimeter is 2(l + w). Since the length has an assigned value, l will become 10w.

2(10w + w) = 1540

First, add the parenthetical expression to get 11w.

2(11w) = 1540

Now, DISTRIBUTE! 2(11w) becomes 22w.

22w = 1540

Lastly, divide by 22 to get 70. You can also say that this could be 22w = 154 * 10. 22 * 7 is 154 (140 + 14), and 7 * 10 is 70.

w = 70

Now that we know the width, substitute 70 for w in the 10w expression.

l = 10(70)

Just multiply and you'll get 700.

l = 700

Now we know the dimensions to be 700 * 70 (or 70 * 700; I just prefer to put the length first)

What is the midpoint of the line segment graphed below?

Answers

Answer:

option A [tex](4, \frac{7}{2})[/tex] is the midpoint.

Explanation:

To find midpoint: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

We shall use this formula here:

[tex](\frac{9+-1}{2}, \frac{5+2}{2})[/tex]

[tex](\frac{8}{2}, \frac{7}{2})[/tex]

[tex](4,3.5)[/tex]

find the number pairs of 48 and 56

Answers

Answer:

Find the number pairs of 48 and 56

GCF of 48 and 56 by Listing Common Factors

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56.

[tex]TextFromYourMrEx[/tex]

#CarryOnLearning


Write the number that represents the English words: five hundred thirteen millionths

Answers

Answer:

513,000,000

Step-by-step explanation:

To write five hundred thirteen million in numbers change “five hundred thirteen million” to “513”, then multiply 513 by 106.

Alternatively, move the decimal point 6 places to the left:

513 × 106 = 513000000,

513 → 5,130 → 51,300 → 513,000 → 5,130,000 → 51,300,000 → 513,000,000.

Besides, five hundred thirteen million means:

513 × 10^6

513000000 as a whole number

513M in abbreviated form

[RevyBreeze]

Solve the equation:

1/3=n + 3/4

And please explain how you got the answer!

Answers

Answer:

n = -5/12

Step-by-step explanation:

1/3 = n + 3/4

Now, get equal denominators:

4/12 = n + 9/12

Now, solve:

n = -5/12

Hopefully this helps!

Brainliest please?

What is the simplest form of √x^15? A. x^6√x^3 B. x^7 C. x^7√x D. x^6√x

Answers

Answer:

c. [tex]x^7\sqrt x[/tex]

Step-by-step explanation:

Find the largest square factor of [tex]x^{15}[/tex], which is [tex]x^{14}=(x^7)^2[/tex]. This gives [tex]\sqrt{x \cdot (x^7)^2[/tex]. Taking the square factor out gives [tex]x^7 \sqrt x[/tex], or choice c.

What is the area of the composite figure?

○ 40cm^2
○ 65cm^2
○ 52.5cm^2
○ 60cm^2​

Answers

Answer:

C. 52.5cm^2

Step-by-step explanation:

Area of a triangle - A=1/2bh  or  area=1/2 base times height

Area of a rectangle -  A=lw   or area=length times width

Separate the shapes first, you would draw a line between the two if this was on paper.

Find the separate areas.
Rectangle area:

8*5=40

Triangle area:

find the height first. the height of this triangle is the same as the length of the rectangle minus the 1 and 2 cms.

8-1-2=5

1/2*5*5=12.5

Now add the areas:

40+12.5=52.5cm^2

write 3/8 as a decimal and percentage.

Answers

Answer:

as a decimal- 0.375

as a percentage- 37.5%

Step-by-step explanation:

schoolwork helps

As a decimal: 0.375
As a percentage: 37.5%

PLEASE HELP THIS IS URGENT PLEASE!!!!!!!!!!!
The following steps were used to simplify the expression 4(3 +1/4).

4(3 +1/4)

4 · 3 + 4 · 1/4

12 + 1

13

Which of the following properties were used to simplify this problem? Not all steps required using a property.

distributive property and multiplicative inverse
distributive property and multiplicative identity
associative property and commutative property
associative property and multiplicative inverse

Answers

Answer:

13

Step-by-step explanation:

[tex]4(3 + \frac{1}{4} )[/tex]

multiply 4 by all the numbers in brackets

4 × 3 = 12

4 × ¼ = 4 ÷ 4 × 1 = 1

[tex]4( 3 + \frac{1}{4} ) = 12 + 1[/tex]

[tex]12 + 1 = 13[/tex]

_________________________


Jessica Johnson is running for mayor of a small city in Florida. She needs at least 51% of the votes to win.
Her campaign wanted to make a prediction about whether or not she will win. She hires ten polisters to each
ask 100 randomly selected voters if they will vote for her. The pollsters' results are below.
Poll number
1
2
3
4
5
Yes votes
51
68
58
43
65
Poll number
6
7
8
9
10
Yes votes
56
45
59
71
63
Use this information to correctly complete the statement below. From the drop-down menus, select a
prediction and the best justification for that prediction based on the data.
Jessica should predict that she will
because

Answers

Answer:

I dont really know if i understand the problem fully but i hope this is what you are looking for:

Step-by-step explanation:

A prediction for yes votes you round all the results and add = 300 real answer: 285

Poll number: 50, real: 40

Yes votes (#2) 290, real: 294

In conclusion you get 300, 50, 290 I think.

The equation, y = 3.5x,
represents th
le number of
books, y that Amanda read
in x, months. The number of
books Hunter read in a
month is gi
table
belowThe equation, y = 3.5x,
represents the number of
books, y that Amanda read
in x, months, The number of
books Hunter read in a
month is given in the table
below.

Answers

Answer:

y = 4x

Step-by-step explanation:

Amanda: y = 3.5x

Hunter:

      x             y      

      1              4      

      3             12    

      5             20    

y = (?)x

4 = (4)1

12 = (4)3

20 = (4)5



1.
Carly has 35 pens in her pencil case and 20% don't work. How many don't work?

Answers

Answer:

35/5=7 ez math why are you asking

A novelty store sells 8 comic books for every 3 action figures. On
Monday, they sold 32 comic books. On Tuesday, they sold 18 action
figures. What is the difference between the number of action
figures sold on Monday and Tuesday? Explain.

Answers

Answer:

Step-by-step explanation:

THE answer is 6

First Calculate the number of action figures sold on Monday:

8 comic books for every 3 action figures

32 comic books =? action figures

8 x 4 = 32

so, 3 x 4 = 12 action figures sold on Monday

next Find the difference between the number of action figures sold on Monday and Tuesday

They're asking for the difference, so you subtract

18 - 12 = 6

Hence, the difference in the number of books on Monday and Tuesday is 6

A container holds 62 cups of water. How much is this in gallons?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

3.875

Step-by-step explanation:

I just kinda know I'm good with cups and gallons

hi so im really bad at math im just wondering how do u become good at math​

Answers

Answer:

Break Down Complex Problems.

Master The Basic Math Skills.

Understand The Topic Before Moving On To Another.

Know The Importance Of Number Sense.

Have A Regular And Consistent Practice.

Establish A Routine.

Focus On Understanding New Concepts.

Create A Practice Math Test.

Help me please if you can

Answers

Answer:

3 1/8

Step-by-step explanation:

3 1/2 can also be represented as 3 4/8. Knowing this, we can apply it to the equation.

6 5/8 - 3 4/8

= 3 1/8 or 25/8

What is the perimeter and area of the shape.

Answers

Answer:

peremiter is=35        Area is=3780

Step-by-step explanation:

Given that AOB, COD, and EOF are straight lines, Find the value of 'a' of the following figures. C F 2aº За°— 10° А. B O 4a°-17° E D​

Answers

Answer:

2a + 4a-17 + 3a - 10 = 180

9a - 27 = 180

+27

9a. =207

÷9

a= 23

Check:

2x23=46

4x23 - 17 =75

3 x 23 - 10 =59

Angle on straight lines adds to 180 (46+75+59=180)

Hope this helps!

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