Part A: Find the LCM of 5 and 12. Show your work. (3 points)

Part B: Find the GCF of 72 and 81. Show your work. (3 points)

Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)

Answers

Answer 1

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

---------------------------------

Part B: 9

81 / 72 = 9

----------------------------------

Part C: 9 (8 + 9)

---------------------------------

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.


Related Questions

Mark rolls a fair dice 36 times. How many times would Mark expect to roll a number greater than 5?​

Answers

Answer:

Let X be the number of times a Dice rolls 4.

Expected value is 96/6 = 16.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

In a dice, there are 6 faces, there's {1, 2, 3, 4, 5, 6}.

So when the question asks a number greater than 5 it means that it wants the "6". The probability to get the "6" is 1/6. So to find the expected value you just times the number of rolls with the probability which means 36 × 1/6 which equals to 6 times

determine the condition under which job Shane should collect and explain

Answers

Answer:

By the 4th hour of working, both jobs pay 80, but Job B will pay less by the 5th hour, and continues to pay less as time progresses after that.

Draw the graph of Job b on the same graph as A and you'll see exactly when A passes B.

He'll make more at job A if he works more than 4-5 hours, but more at job B if he works less than 4-5 hours (again, don't know at exactly what time A passes B, wouldn't recommend putting "4-5" on a paper)

Step-by-step explanation:

hour          job A pay           job B pay

----------------------------------------------------------

 0                    $0                    $30

 1                   $ 20                $42.50

 2                   $40                   $55

 3                   $60                $67.50

 4                   $ 80                  $80

 5                   $100               $ 92.50

Hope this helps!

A sinusoidal graph has a maximum at the point (–40, 3) and a midline of y = – 12. Determine the amplitude of the graph.

Answers

Answer:

15

Step-by-step explanation:

The amplitude of y=sin(x) is 1 with a maximum of y=1 and a minimum of y=-1. It's amplitude is 1 because that is the distance the max( y=1 )is from the mid line (y=0) or the distance the min( y=-1 ) is from the mid line (y=0).

So we just need to find the distance the mid line, y=-12, and the max,y= 3, is from each other.

3--12=3+12=15

The amplitude of y=sin(x) is 1 with a maximum of y=1 and minimum of y=-1.It’s amplitude is 1 because that is the distance the max (y=1)is from the mid line (y=0)or the distance the min (y=-1) is from the mid line (y=0).

Make a box-and-whisker plot for the data. What is the lower quartile value?
56 32 48 52 51 53 48 38 35 42 40 46 54 50

Answers

I think the answer is 42

4(6*9)+90=?
PLS CAN SOMEONE HELP ME

Answers

Answer:

306

Step-by-step explanation:

6*9=54

54*4=216

216+90=306

an expression that equals to 6/5

Answers

Answer:

(3+3) / (2+3) = 6/5

:)))

..........

last one for similarity transformations:)

Answers

1. 1/2

2. Across Y axis

3. 3 rights and 2 ups (3, 2)

What is the fastest way to solve the following question:
The ratio of boys to girls in Mr. Brown's class is 2:3. If there are 30 students in the class, how many more girls than boys are in the class?

Answers

Answer:

There are 6 more girls than boys

Step-by-step explanation:

boys :girls : total

2         3       2+3 = 5

There are 30 total students

30/5 = 6

Multiply each number by 6

boys :girls : total

2*6     3*6     5*6

12          18      30

There are 18 girls and 12 boys

18-12 = 6

There are 6 more girls than boys

Answer:

Answer is 6.

Step-by-step explanation:

I will now explain the fastest way to solve this. First off, the ratio is 2:3 so the first thing I do is combine that for 5, then do 30/5 for an answer of 6. Then, I multiply 6 for the ratio, which comes out as 12:18, 12 boys and 18 girls. 18-12=6, so there are 6 more girls than boys in the class.

What are the coefficients for the binomial expansion of (a + b)^3?

Answers

Answer:

coefficient of 1st, 2nd, 3rd and 4th term are 1, 3,3,1 respectively. (required coefficient)

Step-by-step explanation:

What is the percent of change from 45to56

Answers

Answer:

24.44%

Step-by-step explanation:

initial value :45

final value:56

change in value= 56-45=11

percentage change= 11

[tex] \frac{11}{45} \times \frac{100}{1} [/tex]

[tex] \frac{1100}{45} [/tex]

=24.44%

Answer:

24.44%

Step-by-step explanation:

Çhange =56-45

=11

Percentage change =change/previous change ×100%

Percentage change=11/45 ×100%

=0.2444444×100%

=24.4444%

Can someone help I don't understand

Answers

Answer:

Step-by-step explanation:

Please help me to solve this question as soon as possible. Thank you
1.6 is a common factor of 36 and y. Find the possible value of y.
A. 25
B. 48
C.57
D. 81

Answers

Answer:

the answer is B

Step-by-step explanation:

because only 48 is dividable by 6

Iliana rotated trapezoid WXYZ 180° about the origin.

On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).

What is the correct set of image points for trapezoid W’X’Y’Z’?

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)

Answers

Answer:

The answer is A. W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

Answer:

The answer is A i got A 100 on the test here or the rest of the anwers for the test

Tanya’s rotation maps point K(24, –15) to K’(–15, –24). Which describes the rotation?

90 degrees clockwise rotation ✔

270 degrees clockwise rotation

180 degrees rotation

90 degrees counterclockwise rotation

Triangle XYZ is rotated 90° clockwise about the origin.

On a coordinate plane, triangle X Y Z has points (negative 3, 1), (4, 4), (4, 1).

What are the coordinates of point X’?

(1, 3)  ✔

(3, –1)

(3, 1)      

(–1, –3)

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

     

X’(1, 1), Y’(-4, 3), Z’(1, 5) ✔

X’(1, 1), Y’(–3, –4), Z’(–1, –5)

X’(–1, 1), Y’(–3, –4), Z’(–5, 1)

X’(–1, –1),Y’(4, –3), Z’(–1, –5)

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.  

X(3, –6) maps to X’(–3, 6)

Y(1, –2) maps to Y’(–1, 2)

Z(–1, –5) maps to Z’(1, 5)

Which describes the rotation?

180 degrees rotation     ✔

270 degrees clockwise rotation

90 degrees counterclockwise rotation      

90 degrees clockwise rotation

A rotation maps point A to A’.

On a coordinate plane, point A prime is (negative 3, 4) and A is (3, negative 4).

Which statement describes the rotation?

270° counterclockwise rotation

90° clockwise rotation

180° rotation ✔

90° counterclockwise rotation  

Rectangle PQRS is rotated 90° counterclockwise about the origin.

On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).

What are the coordinates of point Q’?

Q’( –3, 5) ✔

Q’(3, –5)

Q’(5, –3)

Q’(–5, –3)  

Two standard dice are rolled together. What is the probability of rolling a sum less than 7 or a sum divisible by 5?

Answers

Answer:

Sum less than: 7 (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,5), (,4,1), (4,2), & (5,1)

Sum divisible by 5 (1,4), (2,3), (3,2), (4,1)

write the factors of the following numbers 8​

Answers

the factors of 8 are as follow:

1,2,4,8

Answer:

Factors of 8 are 1, 2, 4, and 8.

Step-by-step explanation:

hope it is helpful to you

One person can do a certain job in 10 minutes and another person to the same job and 15 minutes how many minutes will it take to do the job together

Answers

Answer:

6 minutes

Step-by-step explanation:

The equation for time together is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/10 + 1/15 = 1/c

Multiply by the  least common denominator to clear the fraction

30c(1/10 + 1/15 = 1/c)

3c+ 2c = 30

5c = 30

Divide by 5

5c/5 = 30/5

c = 6

Answer:

6 minutes

Step-by-step explanation:

Person A does 1 job in 10 minutes.

In 1 minute, person A does 1/10 of the job.

Person B does the same job in 15 minutes.

In 1 minute, person B does 1/15 of the job.

Working together, in 1 minute the do

1/10 + 1/15 of the job.

Working together, they take t minutes to do the job.

In 1 minute, they do 1/t of the job.

1/10 + 1/15 = 1/t

3/30 + 2/30 = 1/t

5/30 = 1/t

1/6 = 1/t

t = 6

Two similar triangle prisms have edge lengths in the ratio of 5:3. What is the ratio of the surface areas the two prisms?

Answers

Answer:

Since the ratio of the two corresponding sides is 3:5, this means that edge_prism_1%2Fedge_prism_2=3%2F5

So the ratio of the two surface areas is simply the square of the ratio of the two sides. This means that ratio of the two surface areas is simply

3%5E2%2F5%5E2=9%2F25

Consequently, this works with volume also. So ratio of the two volumes is:

3%5E3%2F5%5E3=27%2F125Step-by-step explanation:

The plot below shows the amount of time Mira spent on maths questions. If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?

Answers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]n = 5[/tex] --- number of questions

Required

The time spent on each question

The question has missing details, as the required plot to calculate the total time is not given.

However, the formula to use is as follows

[tex]Each = \frac{Total}{n}[/tex]

Substitute 5 for n

[tex]Each = \frac{Total}{5}[/tex]

Assume the calculated total time is 60 minutes; The equation becomes

[tex]Each = \frac{60}{5}[/tex]

[tex]Each = 12\ mins[/tex]

Answer:

9 minutes

Step-by-step explanation:

I got it wrong from the other guy so i put get help and that's the Awnser LOL

The quotient of five less than a number and six, is -4

Answers

Answer:

(a-5) / 6 = -4

or

-19

Step-by-step explanation:

(a-5) / 6 = -4

multiply by 6

a - 5 = -24

+5       +5

a = -19

In a triangle, a segment connecting the midpoints of two sides of the triangle is
called:

Answers

Answer:

A.) Midsegment

Step-by-step explanation:

Trust me bro

[tex]\sqrt{x} +\sqrt{5} =\sqrt{12}[/tex]

Answers

The value of x is 17 - 4sqrt(15)

How many times is the value of the digit 5 in 65.1748 lesser than the value of
the digit 5 in 3526.987?
100
1/100
1000
10

Answers

Answer:

3 times

Step-by-step explanation:

The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.

find the measure of the indicated angle to the nearest degree​

Answers

[tex]\boxed{\sf sin\theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{38}{53}[/tex]

[tex]\\ \sf\longmapsto sin\theta=0.7[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{1.4}[/tex]

[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto sin\theta=sin45°[/tex]

[tex]\\ \sf\longmapsto \theta=45°[/tex]

Are the triangle below similar

Answers

Answer:

Yes ,because of SAS similarity theorem

Step-by-step explanation:

In ΔYOM , ΔTON

∠YOM = ∠TON        

[tex]\frac{OY}{OT}=\frac{96}{84}=\frac{8}{7}\\\\\frac{OM}{ON}=\frac{104}{91}=\frac{8}{7}[/tex]

SAS similarity theorem

Answer:

Hello,

Answer C

Step-by-step explanation:

[tex]\dfrac{96}{104}=? \dfrac{84}{91} \\\\Calculating\ crossed\ products\\96*91=8736\\104*84=8736\\they\ are\ equals\\\\\\\dfrac{YO}{MO} =\dfrac{OT}{ON} \\\\\\Triangles\ are\ similar\ because \ SAS \theorem\\\\[/tex]

If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f-9)(2)?​

Answers

Answer:

14

Step-by-step explanation:

HALP ME PLS

The following dot plot represents two data sets, A and B.

Which of the following statements is not true?

The range of the two sets is the same.
The difference between the median of each set is 40.
Set B has a higher mean than set A.
The mode of set A is 50 less than the mode of set B.

Answers

The first stuation is not true because when we look at X which marks it's number and then collect all number is not like B Data. For example, set a has 5x*10+7x*20+2x*30+......... and for set B has 2x*20+8x*70 +.......... the two set hasn't same point

Question 1 of 10
Identify the domain of the function shown in the graph.
10
O A.-1sxs 0
OB. x is all real numbers.
PREVIOUS

Answers

Answer:

The answer would be B. x is all real numbers.

Step-by-step explanation:

It can't be A since the squiggling line is going beyond x = -1 and x = 0. That would've been a vertical line.

Well, good luck on the other 9 problems!

If f(x)= sqrt x, which equation describes the graphed function.

Answers

Answer:

C. y = -f(x) - 3

Step-by-step explanation:

The given (parent) function is f(x) = √x

The given graph shows a real curve that starts from y = -3, when x = 0 and the y-value increases in magnitude in the negative direction as the x-values increases positively from left to right, by the same amount that the parent function increases from left to right

Therefore;

The graph is real, therefore, the value of x in √x is x ≥ 0, and y ≠ f(-x) + D

Where, D, is the vertical shift

The graph starts at x = 0, y = -3, compared to the parent function, the vertical shift, D = -3

The y-value of the given curve increases in the opposite direction (negatively) as the y-value of the parent function increases in magnitude in the positive direction

Therefore, the equation of the given curve comprises of the reflection of the parent function or -f(x)

The graph shows the reflection of the parent function, across the x-axis, and we have, reflection of the parent function, f(x) which is -f(x)

Therefore, the equation that describes the graphed function is y = -f(x) - 3

U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?

Answers

Answer:

1.5 cm

Step-by-step explanation:

Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3

so UV = 3/2 = 1.5 cm

Rationalise the denominator and simplify. 5 over root 3

Answers

[tex] \frac{5}{ \sqrt{3} } \\ = \frac{5 \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } \\ = \frac{5 \sqrt{3} }{ { \sqrt{3} }^{2} } \\ = \frac{5 \sqrt{3} }{3} [/tex]

This is the answer.

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