1. Find the Least Common Multiple of these two monomials:
See picture

1. Find The Least Common Multiple Of These Two Monomials:See Picture

Answers

Answer 1

Answer:

The last choice is correct

[tex]LCM=120a^4b^7c^5[/tex]

Step-by-step explanation:

Least Common Multiple (LCM)

To find the LCM we can follow this procedure:

List the prime factors of each monomial.

Multiply each factor the greatest number of times it occurs in either factor.

We have two monomials:

[tex]12a^4b^2c^5[/tex]

[tex]40a^3b^7c^1[/tex]

The prime factors of the first monomial are:

[tex]2^2,3,a^4,b^2,c^5[/tex]

The prime factors of the second monomial are:

[tex]2^3,5,a^3b^7c^1[/tex]

LCM = Multiply [tex]2^3*3*5*a^4*b^7*c^5[/tex]

These are all the factors the greatest number of times they occur.

Operating:

[tex]LCM=8*15*a^4*b^7*c^5[/tex]

[tex]\boxed{LCM=120a^4b^7c^5}[/tex]

The last choice is correct


Related Questions

Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.

Answers

Answer:

Circumference of the circle = 17.8 units

Area of the circle = 25.1 square unit

Step-by-step explanation:

Formula to get the circumference of a circle = 2πr

Where r = radius of the circle

Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)

r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]

r = [tex]2\sqrt{2}[/tex] units

Therefore, circumference = 2π(2√2)

                                           = 17.77

                                           ≈ 17.8 units

Area of the circle = πr²

                             = π(2√2)²

                             = 8π

                             = 25.13

                             ≈ 25.1 square unit

a shape is shown on the graph
Which of the following is a reflection of the shape​

Answers

Answer:

one reflection would be (-2, -2) (-2,-4) and (-6, -2)

Step-by-step explanation:

Hope this helps

[-4.5 + 12] = what is the anserw

Answers

Answer:7.5

Step-by-step explanation:

Answer:

The answer will be 8.5

14+14 plaxdivu nfnvhwijqco n uhfen uew9 nfh nf hfn feuh

Answers

Answer:

28?

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

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..................................................................................................dotty gangz .............................................................................

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Ella played a math game and had the five cards shown.
-5, -7, 4, -4, 10
Her score was the sum of the numbers on these five cards. What was Ella's score?

Answers

Answer:

-2

Step-by-step explanation:

-5 + -7 = -12

-12 + 4 = -8

-8 + -4 = -12

-12 + 10 = -2

Answer:

Answer:

-5

Step-by-step explanation:

7-4+2-10= -5

Step-by-step explanation:

In order to solve the inequality -1/4 x > 8, which of the following steps must be done?

A.divide by -4 and flip the inequality symbol
B.multiply by -4 and keep the inequality symbol
C.divide by -4 and keep the inequality symbol
D. multiply by -4 and flip the inequality symbol

Answers

Answer:

multiply by -4 and flip the inequality symbol

Step-by-step explanation:

I just did the lesson.  

Scott High School is holding a fundraiser and plans to use 1/2 of the money collected to build a new library. Of the money directed towards building the new library, 5/8 will go towards purchasing computers. What fraction of the money raised will go towards purchasing computers for the library?

Answers

Answer:

[tex]Computer = \frac{5}{16}[/tex]

Step-by-step explanation:

Given

[tex]Library = \frac{1}{2}[/tex]

[tex]Computers = \frac{5}{8}[/tex] of library.

Required

Determine the fraction going towards computer purchase.

We have:

[tex]Computers = \frac{5}{8}[/tex] of library.

This can be rewritten as:

[tex]Computers = \frac{5}{8}[/tex] * library.

Substitute [tex]Library = \frac{1}{2}[/tex]

So, we have:

[tex]Computer = \frac{5}{8} * \frac{1}{2}[/tex]

[tex]Computer = \frac{5}{16}[/tex]

Hence:

The fraction is [tex]\frac{5}{16}[/tex]

alr please help add: 21 / 100 + 6/10 =​

Answers

Answer:

The answer is 81/100.

Step-by-step explanation:

Multiply the denominator of the second fraction by 10 to get 100, then the numerator as well to get 60. Now that you have 21/100+60/100, all you have to do is add.

what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.  The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.

The image of the dilated point will be:-

x : - 8 ⇒ 8 / 4 = 2

y : - 12 ⇒ 12 / 4 = 3

Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.

To know more about dilation follow

https://brainly.com/question/3457976

#SPJ2

solve the inequality 809>-11+5/8n write the solution in set notation

Answers

Answer:

-798>n

Step-by-step explanation:

emilythompson35464

hope this helps srry if it doesn't tho

Answer:

1312

Step-by-step explanation:

i just did it and got it right

Write the equation of a line with the slope -3 and y-intercept of 5
O y = 5x + 3
O y = -5x + 3
O y = 5x - 3
O y = -3x + 5

Answers

Answer:

[tex]\fbox{y = -3x + 5}[/tex]

Step-by-step explanation:

You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];

where [tex]m= \ $slope = -3[/tex]and [tex]y-$int = 5[/tex]

Plugging these values into slope-intercept form gives:

[tex]y=(-3)x+(5)[/tex][tex]y=-3x+5[/tex]Another way to find the slope-intercept form of a line given the slope and a point:

We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.

The point that the line passes through is the y-intercept: [tex](0,5)[/tex].

Point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]

Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.

[tex]y-(5)=-3(x-(0))[/tex]

Simplify the equation on both sides.

[tex]y-5=-3(x)[/tex]

Add 5 to both sides of the equation.

[tex]y=-3x+5[/tex]

This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.

The answer is [tex]D) \ $y = -3x+5[/tex].

The number 4 and the number 4/1 are
exactly the same. Explain why.

Answers

Step-by-step explanation:

Hey there!

It's obvious that 4 and 4/1 are exactly same.

Reason: something divided by 1 is always a a number same in a numerator.

Example;

1. 7/1 = 7

2. 5/1 = 5

Hope it helps..



One positive number is one-fifth of another number. The difference between the two numbers is 328, find
the numbers.

Answers

Answer:

The numbers are 410 , 82

Step-by-step explanation:

Let the another number be x

Positive number = [tex]\frac{1}{5}x[/tex]

Their difference = 328

[tex]x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\[/tex]

x = 410

Positive number = [tex]\frac{1}{5}*410=82[/tex]

The numbers are 410 , 82

Megan scored 80% on a test. She got 20 questions correct. How many questions were on the test?

Answers

Answer:

25

Step-by-step explanation:

I'm writing this to get to the 20 character minimum

Answer:

26 Questions

Step-by-step explanation:

Determine the percentage of increase/decrease of the following exponential equation.
y = 4(1.75)x

Answers

7 percent increase.

· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?

Answers

Answer:

$4,504.69

Step-by-step explanation:

Write 9.84 as a mixed number in simplest form

Answers

Answer:

[tex]9\frac{21}{25}[/tex]

Step-by-step explanation:

Simplify the 0.84. It is 84/100, or divided by 4, it is 21/25.

Hope this helped! :))

Answer:

Step-by-step explanation:

Mixed numbers are a whole number and a fraction together

sooo  9.84=  9 84/100   but we can reduce 84 /100 to 42/50 and that can be reduced to 21/25

so write 9 21/25

the question is in the photo​

Answers

Answer:

yes

Step-by-step explanation:

half of x which is 4 = y which is 2

you keep doing that with the rest of the xs and ys

Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?

Answers

Answer:

if you round, its 99. if you ignore the decimal, its 98

Step-by-step explanation:

2/3 of 148 is 98.66

Drag numbers to complete the table for missing values of x, x2, and x3.

Answers

Answer:

Values are:

x x²

10 100

5

What Eva the person on top said is rightly

Find the LCM (least common multiple) of 25 and 35.

LCM =

Answers

Answer:

175

Step-by-step explanation:

Hi there !

25 = 5²

35 = 5×7

Lcm = multiply together each of the prime numbers with the highest power

Lcm(25 ; 35) = 5²×7 = 25×7 = 175

Good luck !

Hi! I've been stuck on this for awhile although it seems so easy I can't get by it :/

Answers

Answer:

x > -17/6 or x < -1/2

Step-by-step explanation:

4 |3x + 5| + 20 > 6

4 |3x + 5| > -14

|3x + 5| > -14/4

This is where the two equations split.

+:

3x + 5 > -14/4

3x > -17/4

x > -17/6

-:

- (3x + 5) > -14/4

3x + 5 < 14/4

3x < -3/2

x < -1/2

Supposedly these are your answers, but if I'm incorrect, please let me know. I don't see an option for you on that picture though.

The lines represented by the equations y = -X – 3 and
5y + 5x = -15

Answers

Answer:

your y= is

y−intercept=−  1 /3  =−3.00000

Step-by-step explanation:

Does the equation y=-2x-3 represent a linear function

Answers

Answer:

For example, the linear equation 3y + 2x = 6 has an x intercept when y = 0, so 3(0) + 2x = 6. The x-intercept is (3, 0). Likewise the y-intercept occurs when x = 0. The y-intercept is (0, 2).

...

Graph the linear equation y + 3x = 5.

x values 5 – 3x

Step-by-step explanation:

hope this helps

20 POINTS and BRAINLEST
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/8

Answers

Answer:

-2.5

Step-by-step explanation:

-4 5/8 = -4.625

2 1/8  = 2.125

-4.625  + 2.125 = -2.5

Answer:

-20/8 or -2 1/2

Step-by-step explanation:

-4 5/8 + 2 1/8

Convert mixed numbers into improper fractions

-37/8 + 17/8

Add the numerators but NOT the denominators

Final Answer: -20/8 or -2 1/2

can i get brainiest

Help me please now...

Answers

Answer:

see below

Step-by-step explanation:

sqrt(24)  = sqrt( 4*6)

sqrt( 4) sqrt(6)  

2 sqrt(6)

A jacket costs $34.85 plus sales tax. After sales tax, the jacket costs $37.29.

What is the approximate sales tax rate?

Answers

Equation:
37.29 = 34.85 + 34.85(x)

Solving:

37.29 = 34.85 + 34.85x
2.44 = 34.85x
x = 0.07

The approximate sales tax rate is 7%.

Answer:

the approximately sales tax rate is 7%

can ya'll do my math homework too pleaseee? again I'll give brainliest and be rlly happy.

also you gotta write show all the work you did to get the answer cuz my math teacher keeps yelling at me to do that.

f + 6 = -3

-3x = 21

2x + 6 = -12

15 - 3r = -45

21 + 3y = 5y + 8 - 2

3(2x - 1) = 4

-5(f - 3) = 2 - 3(2f - 2)

x + 1/2 = x - 3/7

7x + y + 8 = 0

2x + 2y + 6 = 0

6x - 4y + 8 = 0

Danny parks his car at a parking lot for a flat fee of $2.00 plus $0.25 per hour that his car is parked.

a) Write an equation to represent Danny's total parking cost, C, in dollars, for t hours.

b) How much will it cost Danny to park his car for a full 24 hours?

c) If Danny has $6, for how many hours can he park his car in the parking lot?

Jodi wants to buy a book that costs $18 before taxes. The taxes are 13% HST.

a) Write an equation for the total cost, C, after taxes for a book that costs r dollars.

b) Find the total cost of the book after taxes.

c) Suppose the cost of another book after taxes is $36.80. What was the total cost of the book before taxes?

ya I know it's a lot but I'd rlly appreciate it if ya'll could do at least some of it. I'm like drowning in over due assignments and it's not cute.

thank youuuu

Answers

Answer:

1. f = -9

2. x = -7

3. x = -9

4. x = -20

5. y = 7.5

Step-by-step explanation:

Hope this helps

f=3 x=-7 x=-3 r=10 (i skipped y) x=7/6 or 1.16 f=1 next is no solution

12=6x+3y solve for y

Answers

Answer:

1 1/3 = y

Step-by-step explanation:

12 = 6x + 3y

12 = 9y

12/9 = y

1 1/3 = y

Hope this helped!

An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?

Answers

Answer:

V = 19200 - 12m

Step-by-step explanation:

The pool contains 19200 gallons of water.

Now we are told that water drains from the pool at the rate of 12 gallons per minutes.

Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.

Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.

Thus, total volume V left after m minutes can be expressed as;

V = 19200 - 12m

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