find the LCM of 9 and 54 using prime factorization​

Answers

Answer 1
The LCM is 54
First find the prime factorization of 9
9=3x3
Then find the prime factorization of 54
54=2x3x3x3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 3

LCM=54

Related Questions

Find the ending balance
if $2,000 was deposited
at 4% annual interest
compounded
semi-annually for 6 years.

Answers

The ending balance would be $2,536.48

Answer:

the person above has the answer:>

A triangle prism is 21 yards long and has a triangular face with a base of 12 yards and a height of 8 yards the other two sides of a triangle are each 10 yards what is the surface area of the triangular prism

Answers

first find perimeter and area of base

then, find tsa of triangular prism

as done in the solution above!

please help me with this i’m not very good at these

Answers

I think the answer is 5.6

any one who is still up i need help pls

Answers

Answer:

m = 5

Step-by-step explanation:

[tex] \frac{10}{m - 5} = \frac{8}{m - 5} \\ \\ 10(m - 5) = 8(m - 5) \\ \\ 10m - 50 = 8m - 40 \\ \\ 10m - 8m = 50 - 40 \\ \\ 2m = 10 \\ \\ m = \frac{10}{2} \\ \\ m = 5[/tex]

Answer:

m = 5

Step-by-step explanation:

Cross product to get: 10(m-5) = 8(m-5)

Solve for m:

10m-50 = 8m-40

10m - 8m = -40 + 50

2m = 10

m = 10/2

m = 5

convert 80cm³ to ml
convert 450ml to cm³
pls asap i really need it

Answers

Answer:

a) 80 ml

b) 450 cm³

Step-by-step explanation:

A) solution

1 cm³ = 1 ml

80 cm³ = 80 ml

B) solution

1 ml = 1 cm³

450 ml = 450 cm³

PLEASE HELP I WILL LITERALLY GIVE BRAINLIEST

Insert missing monomials such that each trinomial becomes a perfect square
25b^2+70b+ ...

Answers

 Answer: the answer to this question is 49

Step-by-step explanation:  because (a+b)2 = a2 + 2ab +b2 = Perfect square trinomial

what number is 2/3 of the way from 5 to 14?

Answers

5 is 9 away from 14

so 2/3rds of the way would be 6 away from 5

so that'd be 11

find the area of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi

Answers

Answer:

51.63 m²

Step-by-step explanation:

[tex]\textsf{Area of a semicircle} =\dfrac12\pi r^2[/tex]

Given:

[tex]\pi =3.14[/tex][tex]\textsf{diameter}=6 \textsf{ m}\implies \textsf{radius}=3 \textsf{ m}[/tex]

[tex]\implies \textsf{area}=\dfrac12 \times 3.14 \times 3^2=14.13[/tex]

[tex]\textsf{Area of a triangle} =\dfrac12 \times \textsf{base} \times \textsf{height}[/tex]

Given:

base = 3 mheight = 5 m

[tex]\implies \textsf{area}=\dfrac12 \times 3 \times 5=7.5[/tex]

[tex]\textsf{Area of a rectangle} =\textsf{width} \times \textsf{length}[/tex]

Given:

width = 5 mlength = 6 m

[tex]\implies \textsf{area}=5 \times 6=30[/tex]

Total area = area of semicircle + area of triangle + area of rectangle

                 = 14.13 + 7.5 + 30

                  = 51.63 m²

Solution:

Step-1: Find the area of the triangle.

[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\text{Area of triangle} = \dfrac{1}{2} \times 3 \times 5[/tex]

[tex]\text{Area of triangle} = 3 \times 2.5[/tex]

[tex]\text{Area of triangle} = 7.5 \ \text{m}^{2}[/tex]

Step-2: Find the area of the rectangle.

[tex]\text{Area of rectangle} = \text{LB}[/tex]

[tex]\text{Area of rectangle} = (6)(5)[/tex]

[tex]\text{Area of rectangle} = 30 \ \text{m}^{2}[/tex]

Step-3: Find the radius of the semi-circle.

[tex]\text{Diameter = 2(Radius)}[/tex]

[tex]6 \ \text{m = 2(Radius)}[/tex]

[tex]\dfrac{6}{2} \ \text{m} = \dfrac{2\text{(Radius)}}{2}[/tex]

[tex]3 \ \text{m} = \text{Radius}[/tex]

Step-4: Find the area of the semi-circle.

[tex]\text{Area of semi-circle} = \dfrac{\pi r^{2} }{2}[/tex]

[tex]\text{Area of semi-circle} = \dfrac{(3.14)( 3^{2} )}{2}[/tex]

[tex]\text{Area of semi-circle} = \dfrac{(3.14)(9 )}{2}[/tex]

[tex]\text{Area of semi-circle} = (3.14)(4.5 )[/tex]

[tex]\text{Area of semi-circle} = 14.13 \ \text{m}^{2}[/tex]

Step-5: Find the area of the figure.

[tex]\text{Area of figure = Area of triangle + Area of rectangle + Area of semicircle}[/tex]

[tex]\text{Area of figure = 7.5 + 30 + 14.13}[/tex]

[tex]\boxed{\text{Area of figure = 51.63 m}^{2}}[/tex]

Write an equation of the line in slope- intercept form.
A. Y= -4/5x - 3
B. Y = -4/5x + 3
C. Y= -5/4x - 3
D. Y= -5/4x + 3

Answers

Answer:

A

Step-by-step explanation:

becuase the 3 is negtive and the 4/5 so it A

Answer:

[tex]a)\ y=-\frac{4}{5}x -3[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-1}{0-(-5)} \\\\m=\frac{-4}{0+5} \\\\m=-\frac{4}{5}[/tex]

[tex]y=mx+b\\y=-\frac{4}{5}x +b[/tex]

(-5, 1)

[tex]y=-\frac{4}{5}x +b\\1=-\frac{4}{5}(-5) +b\\1=4+b\\-4-4\\-3=b[/tex]

[tex]y=-\frac{4}{5}x -3[/tex]

Check your answer:

[tex]y=-\frac{4}{5}x -3 \\1=-\frac{4}{5}(-5) -3\\1=4-3\\1=1[/tex]

This statement is true

Hope this helps!

(brainliest for right answer)
a toy store finds that the number of items sold is represented by the expression 3c+8. the cost per item is c dollars. the amount of money made is the product of the number of items sold and the cost per item. if the company made $3,200, what equation can be used to determine the cost per item?

a. 3c+8=3200
b. 11c^2=3200
c. 4c+8=3200
d. 3c^2+8c=3200

Answers

Answer:

d.

[tex]3 {c}^{2} + 8c = 3200[/tex]

There is a bag filled with 5 blue, 2 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?

Answers

Answer:

7/25

Step-by-step explanation:

working out above.

To find the probability = Times BB RR and GG

then at the end add them all together.

A teenager put 50$ into an account in January. If by December the increases by 17%, what is the amount of money in the account in December ?

Answers

I need help on my question thank you

Solve 6!
Enter
how to solve six using factorials

Answers

'n!' is a factorial.

A factorial is equal to [tex]n*(n-1)*(n-2)*(n-3)*... * 2 * 1[/tex].

Since in this case n = 6, then:

      [tex]6! = 6 * 5 * 4 * 3 * 2 *1 = 720[/tex]

Thus 6! = 720.

Hope it helps!

this is the last one i need help on, please help

Answers

Answer:

options 4 and 6 I believe

Akira's bus ride to school is 9/10 of a mile and Clayton's bus ride is 1/2 of a mile. How much longer is Akira's bus ride than Clayton's?

Answers

4/10 longer than claytons

1/2 is equivalent to 5/10

then what’s the difference between 5/10 and 9/10, it’s 4/10

The formula for an area of a triangle is :____.

Answers

Answer:

Area of a triangle

Step-by-step explanation:

A= [tex]\frac{1}{2}[/tex]bh

A: area

b: base

h: height

hope this helps..

1. Manuela can type about 150 words in 4 minut At this rate, about how long will she take to typ 2000 words?​

Answers

its 150 x 13 or atleast the closest estimate so its either 150 x 13 or 14

Step-by-step explanation:

multipliy by 150 x 13 or 14

Factorise 4x² + 2y² + x²y² + 8​

Answers

Answer:

[tex]4x² + 2y² + x²y² + 8 \\arranging \: them \\ 4 {x}^{2} + {x}^{2} {y}^{2} + 2 {y}^{2} + 8 \\ {x}^{2} (4 + {y}^{2} ) + 2(y^{2} + 4) \\ ({x}^{2} + 2)(y^{2} + 4)[/tex]

Answer:

(4 + y^2) ( x^2 + 2)

Step-by-step explanation:

irst rearrange the terms

4x^2 + x^2 y^2 + 2y^2 + 8

then factorise

x2 ( 4 + y^2) + 2 ( y^2 + 4)

group like terms together and insert the remaining terms into a bracket

(4 + y^2) ( x^2 + 2)

a
In golf, player A plays 320 good rounds out of a total of 400 rounds.
Player B plays 300 good rounds out of a total of 350 rounds.
What is each player's success rate:
a) as a ratio b) as a percentage?
Do the percentages tell you which player is the better golfer?
Justify your answer.

Answers

Step-by-step explanation:

Player A persentage of success =(320/400)*100=80%

Player B persentage of success =(300/350)*100=85. 741

A ratio =8/10

B ratio =8.5741/10

Player b is the better player

Could Y'all Please Help Me! I'll Give you Good Points!

Answers

Answer:

I would say its D

Step-by-step explanation:

10:9:10 is the original ratio

It gets turned into 1:1:2, making it very distorted

How do the slopes and y–intercepts of the two equations compare?.

Answers

The two equations with slope and y-intercept are compared as the lines may be intersecting, parallel, and coincident.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Let the two equations in the form of slope and y-intercept.

[tex]\rm L_1: y = m_1x +c_1\\\\L_2: y = m_2x +c_2[/tex]

There are three cases are as follows;

Case 1 - If lines are intersecting then the slope of both equations will be different.

Case 2 - If lines are parallel then the slope of lines are same but the intercept will be different.

Case 3 - If lines are coincident their slope and the intercept will be the same.

More about the linear system link is given below.

https://brainly.com/question/20379472

when does the equation of a line in slope-intercept form look just like its equation in point slope form ???


with explanation

Answers

Answer: y = mx + b

Step-by-step explanation:

i think this is what ur asking but “y” is the coordinate of the y-axis with “x” being the coordinate of the x-axis. m is the slope of the graph

please help, will give brainlist to first answer

Answers

3.62000 liters
4.4300 grams

Answer:

3 .62 lt

4 4300 g

5 1.78 mt

6 .0031 g

7 500 lt

8 .083 g

Need help asap giving 15 points

Answers

Answer:

384

Step-by-step explanation:

a= 6a^2

a = 8

A = 6*8^2 = 6*64 = 384 in

A = 384 in

The answer is 384
Hope this helps

find the length of the diameter of circle 0

Answers

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

An engineer is tasked with doubling the length and width of a city park. The engineer draws the park on a coordinate plane and labels it ABCD. Find the area of the park before and after the expansion. A coordinate plane with Square A B C D plotted. Point A is at zero comma three. Point B is at thee comma three. Point C is at three comma zero, Point D is at zero comma zero. A photo of a park with a caption that says, dimensions of park are being doubled. What is the area of the park before the expansion?

Answers

The vertex coordinates of the park the engineer draws, A(0, 3), B(3, 3),

C(3, 0), D(0, 0) give the area of the park before expansion as 9 unit².

How can the area of the park be found?

The shape of the park = A square

The vertices of the park = ABCD

The coordinates of the point are; A(0, 3), B(3, 3), C(3, 0), D(0, 0)

The length of side AB = 3 - 0 = 3

Length of side BC = 3 - 0 = 3

Length of side CD = 3 - 0 = 3

Length of side AD = 3 - 0 = 3

Therefore, the park is a square with side length, s = 3 units

The area of a square, A = Side × Side =

The area of the park before expansion, A = 3 unit × 3 unit = 9 unit²

Learn more about finding the area of geometric shapes here:

https://brainly.com/question/316492

Find the missing variables

Answers

Answer:

x = y = 102.5°

Step-by-step explanation:

x and y are congruent.

the sum of the 4 angles in a kite = 360°

subtract the 2 given angles from 360°

360° - 95° - 60° = 360° - 155° = 205° , then

x = y = 205° ÷ 2 = 102.5°

what is the measure of ABC ?​

Answers

Answer:

D

Step-by-step explanation:

Also do we have to show our work?

List the two outliers in this graph.

Answers

Answer:

(10.5,14) and (15,3.5)

Step-by-step explanation:

Graph g(x)=5|x -6|+2g(x)=5∣x−6∣+2g, left parenthesis, x, right parenthesis, equals, 5, vertical bar, x, minus, 6, vertical bar, plus, 2.

Answers

The graph of the absolute value function can be seen at the end of the answer. There we see a translated and dilated parent function.

How to graph the absolute value function?

Here we want to graph:

g(x) = 5*|x - 6| + 2

First, remember that the minimum of the absolute value part |f(x)| is 0, so the minimum of the above function is 2, and that happens when x = 6. That will be the vertex of our function.

From that point, we will have two lines, one that goes to the right with a slope of 5, and the other that goes to the left with slope of -5 (the coefficient that multiplies the absolute value part of the function).

The graph of the function can be seen below.

If you want to learn more about absolute value functions, you can read:

https://brainly.com/question/3381225

Answer:6,2 & 7,7

Step-by-step explanation:

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