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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.

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

Easy! :D (if you don't mind, may I get brainliest please?)


Related Questions

What is the slope of the line that passes through the pair of points?
(-7,8), (-4, 20)
0 -4
0.25
0.33

Answers

Answer:

4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(20-8)/(-4-(-7))

m=12/(-4+7)

m=12/3

m=4

Find the hypotenuse of an isosceles right triangle when the legs each measure 3 square root of 2 inches.

Answers

It equals the square root of 12 or 3.4641

Answer:

12

Step-by-step explanation:

3 square root of 2 equals 12

The weight of a beaker is measured to be 78 grams, but the actual weight of the beaker is 82 grams. What is the approximate percent error in the measurement? A) 4% B) 5% C) 6% D) 7%

Answers

The approximate percentage error on the weight of the beaker is 5%

What is percentage error?

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Error = Actual value - estimated value =

Actual value = 82g, Estimated value = 78g

Error = 82 - 78 which is 4

percent error = error/estimated x 100%

percent error = 4/78 x 100 which is 5%

In conclusion the percent error is 5%

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PLEASEE HELPP!
Use the following figure to answer BOTH parts the question
(a) Describe in words a sequence of transformations that maps ∆ to ∆′′′.
(b) Write an ordered-pair rule for each transformation in the sequence.

Answers

Transformation involves changing the position of a shape

The sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal and vertical shiftsThe ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]

(a) The sequence that maps both triangles

From the figure the coordinates of both triangles are:

[tex]A = (-5,0)[/tex]

[tex]B = (-2,1)[/tex]

[tex]C = (-4,2)[/tex]

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Start by reflecting triangle ABC across the y-axis.

The rule of this transformation is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A = (5,0)[/tex]

[tex]B = (2,1)[/tex]

[tex]C = (4,2)[/tex]

Next, translate the triangle 1 unit left and 2 units down

The rule of this transformation is:

[tex](x,y) \to (x,-1,y-2)[/tex]

So, we have:

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units

(b) The ordered pair rule

In (a), we have:

[tex](x,y) \to (-x,y)[/tex] ---- reflection

[tex](x,y) \to (x,-1,y-2)[/tex] --- translation

Combine both transformations, so we have the following ordered pair:

[tex](x,y) \to (-x,-1,y-2)[/tex]

Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]

Read more about transformation at:

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write an equation of the line passing through the point (5,2) that is perpendicular to the line "-x+3y=12"

Answers

Answer:

y = -3x + 17

Step-by-step explanation:

first, change the equation into slope-intercept form

add 'x' to each side to get:

3y + x = 12

divide each side by 3 to get:

y = 1/3x + 4

now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:

2 = -3(5) + b

2 = -15 + b

17 = b

put slope and y-intercept together to get:

y = -3x + 17

Data were collected regarding the prices plumbers charge for their services in a certain
area. Most of their charges include a flat fee and then an hourly charge. Based on the
data gathered, the amount, A, a plumber charges for t hours of work can be modeled
by the equation A = 50 + 80t. Which statement is correct?

Answers

Using the linear function, it is found that the correct option is given by:

On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.

Linear functions modeling a cost have the following format:

[tex]C(t) = C(0) + at[/tex]

In which:

C(0) is the flat fee.a is the cost per unit of time.

In this problem, the cost for t hours of work is modeled by:

[tex]C(t) = 50 + 80t[/tex]

Which means that the correct statement is:

On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

need help with this dividing whole numbers thing

Answers

Answer:

72 : n = 18. n x 18 = 72

n : 18 = 72. 72 x 18 = n

72 : 18 = n

Step-by-step explanation:

Plot /\ABC: B(-1,-1), and C(4,-1)
——JUST LOOK AT PHOTO AND PLEASE HELP

Answers

Answer:

i dont know sry

Step-by-step explanation:

:)

Please help me!!!!!

Answers

Answer:

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (5, 7 ) , then

y = a(x - 5)² + 7

To find a substitute (10, - 3 ) into the equation

- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )

- 10 = 5²a = 25a ( divide both sides by 25 )

[tex]\frac{-10}{25}[/tex] = a , that is

a = - [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form


Yovani can do 8 math problems in 1 3/5 of a
minute. How many problems can he
complete per minute?

Answers

Answer:

5 Problems

Step-by-step explanation:

Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]

Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]

Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]

Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]

Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]

Cross out the common factor: 5

get the result: 5  

Answer: 5

Given the function f(x) = 10x + 8, find each of the following.
f(7)=
f(-8)=
f(0)=

Answers

Answer:8

Step-by-step explanation:

Answer:

f(7)

Step-by-step explanation:

i am pretty sure i am not in highschool so just give me a thanks i am in 6 grade happy rest of the day

i will give you brainiest if correct
Which situation can be represented by the inequality?
x<90
A. There are 90 children at summer camp.

B. Betty is over the age of 90.

C. A kiddie pool holds under 90 liters of water.

D. A refrigerator weighs more than 90 kilograms.

Answers

Answer:

c

Step-by-step explanation:

Questions 1 3 5 7 range and graph not needed

Answers

Answer:

thx for the 25 points, I know you meant to give it to me(≧▽≦)

how many real square roots does -1 have?

Answers

It is 0 because there are no square roots for negitive numbers

There are no real square roots does -1 have.

-1 is negative, it does not have a real square root.

Here, we have,

we know that,

The number -1 does not have any real square roots.

In the real number system, a square root of a number is a value that, when squared, gives the original number.

However, when we square any real number, the result is always non-negative.

Since -1 is negative, it does not have a real square root.

It is 0 because there are no square roots for negative numbers.

Hence, There are no real square roots does -1 have.

To learn more on number click:

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If the measure of central angle is 57 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)

Answers

If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

The image attached below shows the relationship between the measure of the central angle and its intercepted arc. Measure of central angle = its intercepted arc.

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

Learn more about central angles on:

https://brainly.com/question/2548029

7. (6 points) Sam can paint a house in 3 hours. When Sam and Jordan work together, they can paint
2 houses in 5 hours. If Jordan works alone, how long will it take for Jordan to paint one house? Show
all work, and write your final answer as a fraction with units.

Answers

Answer:

1/3 +1/5 per hour

Step-by-step explanation:

hope i helped sorry if i didn't

a ball bounces 124 feet off the ground. each time it bounces it bounces half of its original height. How much tell the total is 500 feet

Answers

The answer is 250,112.5,56.25,28.125,14.0625, 7.03125

cupcakes The equation y = 2x models the cost for cookie orders from the Dotted Box Bakery, where x is number of cookies and y is cost in dollars. What is the cost per cookie? ​

Answers

Answer:

y=-4x+16

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

What is the measure of an angle of a regular polygon with nine sides?

Answers

Answer:

140 degrees

Step-by-step explanation:

To find the value of an internal angle within this polygon, we can just multiply the number of triangles by 180 ° , then divide by the number of internal angles, which is nine. Excellent! So the interior angle of a 9 -sided polygon is 140 ° .

Find the slope of the line going through the points (-4, 13) and (8,-11).

Answers

Answer:

The Slope is -2

Step-by-step explanation:

The entered points belong to a decreasing, linear function.

Equation: y = -2x + 5.

Answer:

Slope = -2

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\left(x_1,\:y_1\right)=\left(-4,\:13\right),\:\left(x_2,\:y_2\right)=\left(8,\:-11\right)\\m=\frac{-11-13}{8-\left(-4\right)}\\\mathrm{Refine}\\m=-2[/tex]

Which equation represents a line that is perpendicular to y = 3x - ?

Answers

Answer: y=-1/3x+4

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocals. For example, 1 would be -1, -3 would be [tex]\frac{1}{3}[/tex], and [tex]\frac{5}{1}[/tex] would be -5. The equation is written in slope-intercept form:

y=mx+b

y=3x-4

m is the slope, so next find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:

Therefore, y=-1/3x+4 is the correct answer.

what two integers are between the cube root of 12

Answers

Answer: 2 and 3

Step-by-step explanation:

The cube root of 12 is 2.28942848511, so it is between the integers 2 and 3.

PLEASE HELP ME WITH THIS

Answers

Answer:

  35/132

Step-by-step explanation:

The probability of selecting a boy for president is 7/12, the ratio of the number of boys to the number of candidates. Then the probability of selecting a girl for vice president is 5/11, the ratio of the number of girls to the remaining number of candidates. The joint probability is ...

  (7/12)(5/11) = 35/132 . . . P(b=P&g=VP)

__

We can also look at this another way.

The number of ways two candidates can be selected from 12 is 12P2 = 132. The number of ways that the first can be a boy and the second can be a girl is (7)(5) = 35. Then the probability of a (BG) pair from the 12 candidates is 35/132.

_____

Additional comment

These numbers assume that selection is random and all possibilities are equally-likely. That is unlikely to be the case in an election.

Colton wants to buy a trampoline in 2 months the trampoline costs $228,
if he saves each month how much will he have to save each month?

Answers

Answer:

114 each month

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

228 divided by 2 = 114

what is -25pi over 12 in degrees

Answers

Answer: 0=75degrees

Have a Great Day/Night

A bag contains pennies, nickels, nickels, and nickels. There are 50 coins in total. Of the coins, 14% are pennies and 34% are dimes. There are 6 more nickels than pennies. How much money does the bag contain?

Answers

answer:

8 pennies,16 dimes,13 nickels,13 quarters

Step-by-step explanation:

total number of coins = 50

16% are pennies

16% of 50

16/100 x 50=(16x50)/100=800/100=8

Pennies = 8

32% are dimes

32% of 50

32/100 x 50=(32x50)/100=1600/100=16

Dimes = 16

5 more nickels than pennies

Pennies = 8

nickels = 8 + 5 = 13

nickels = 13

8+16+13=37

50 - 37 = 13

13 quarters

pennies = 8, dimes = 16, nickels = 13, quarters = 13

Hannah completed 40 problems in 32 minutes.
I have to put it in a unit rate pls help

Answers

Answer: 1.25 problems/min

32 minutes --> 40 problems

1 minute --> 40/32

                --> 1.25

If f(x)= x2 - 4x - 4, find the input values that make the function 0.

Answers

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

will you please help me with my math thank you

Answers

Answer:$44.69

Step-by-step explanation:

Original cost = $45.87

Cost with sales = 45.87 x 0.10 since 10% is 0.10 as a decimal

New cost = (45.87) - (45.87 x 0.10)

=$41.283

Cost with tax  = 41.283 x 1.0825       <- 8.25% is 0.0825 as a decimal

= $44.69

Answer:

$44.69

Explanation

10 Percent of $45.87 is 4.587 rounded to the nearest hundredth is $4.59.

$45.87 - $4.59 is $41.28

8.25% of $41.28 is 3.4056 rounded to the nearest hundredth is $3.41.

$41.28 + $3.41 is $44.69

Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.

Answers

Answer:

The correct expression that can be represented by n decreased by thirty-one is n - 31

let

The unknown number = n

n decreased by thirty-one

= n - 31

If n = 29

n - 31

= 29 - 31

= -2

The correct expression is 31-n.

False

This is a subtraction expression.

True

This is an addition expression.

False

To evaluate, substitute 29 for the variable in the expression

True

To evaluate, substitute 31 for the variable in the equation.

False

To evaluate the expression, add 31 to 29.

False

The correct expression is n - 31

True

To evaluate the expression, subtract 31 from 29.

True

Step-by-step explanation:

the answer is a b e g f hop this helps u

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