9-12r+6y. Distributive property

Answers

Answer 1

Answer:

The greatest common factor is 3.

Step-by-step explanation:

If you decompose 9 you will get 3*3 so 9=3*3

If you decompose 12 you will get 2*6,then you can decompose 6 which 2*3 so 12=2*2*3

If you decompose 6 you will get 2*3 so 6=2*3

What do all of these numbers have in common?The 3.

So 3 is the greatest common factor.Now you just put the 3 in front and then open the bracket and divide each of the number by 3.

9/3=3

-12x/3=4x

6y/3=23

So,this will be your answer 3(3-4x+2y)


Related Questions

Calculate the slope of the following line:
m=

Answers

Answer:

m= -1/3

Step-by-step explanation:

slope is rise/run or change in y/change in x

i pick out point (9,0) to (6,1)

the increase in y of this triangle is 1 and increase in x is 3

note that this line will have a negative slope as it goes downwards from left to right instead of upwards

hence m= rise/run= -1/3

A scientist studies the population of an insect colony. She begins her study with 10,000 insects in the colony and measures the population of the colony
each year. She uses the given formula to model the insect population, P, é years since the beginning of the study.
P= 10,000(1.08)
By what percent does the Insect population grow each year?
%

Answers

The population grows by 108% each year because 1.08 as a percentage would be in fact 108...

Solve the following equation by first writing the equation in the form a x squared = c: t squared minus 49 = 0 a. t = 49 b. t = plus-or-minus 49 c. t = 7 d. t = plus-or-minus 7 Please select the best answer from the choices provided A B C D

Answers

The best answer is t = 7. Option C

What is a quadratic equation?

A quadratic equation is simply defined as an equation that could be rearranged in standard form.

It is also described as an algebraic equation having the highest exponent of as 2.

It is so arranged such that;

x represents an unknown valueVariables, a, b, and c represent known numbersAlso, a is not equal to 0, a ≠ 0

It is important to note that the three methods of solving quadratic equation are;

FactorizationUsing the quadratic formulaUsing completing the square method

From the information given, we have that the form is;

x² = c

Given  t squared minus 49 = 0

First, represent mathematically

t² - 49 = 0

Now, collect like terms, we have;

t² = 49

Take square root of both sides

t = √49

t = 7

Hence, the equation is  t = 7

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Solve for x. *they are similar* NO BOTS OR ELSE U WILL BE REPORTED

Answers

Answer:

x = 5

Step-by-step explanation:

i will insert an image of my work below

Please help! Due tomorrow!!!
Homework assignments are worth 12 points and tests are worth 100 points. A teacher records the homework averages and test averages for 10 students. Use a graphing calculator to find an equation of the line of best fit. Round each value in your equation to the nearest tenth.

Answers

Answer:

y=7.5x+6.2

Step-by-step explanation:

Hopefully this is the answer

Answer:

y=7.5x+6.2

Step-by-step explanation:

Hopefully this is the answer

How do you find the difference between two different numbers?

Answers

Subtract the smaller of the two numbers from the larger of the two numbers to discover the difference between them.

Subtract the smaller of the two numbers from the larger of the two numbers to discover the difference between them. The difference between the two numbers is the sum's product.

Subtracting two integers from each other is a type of subtraction.

The process for determining the difference between two decimals and two whole numbers is the same.

We only add a new step.

Finding the difference between 8.967 and 7.2, for instance, could appear more difficult.

To give them all the same amount of decimal places, we must first convert each decimal.

7.2 becomes 7.200 as a result.

The computation may now be done as before:

8.967 - 7.200 = 1.767

Therefore, there is a 1.767 discrepancy between these figures.

In order to find the difference between two fractions, simplify and find the lowest common denominator of each fraction.

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In the diagram, two circles, each with center $D$, have radii of $1$ and $2$. The total area of the shaded region is $\frac5{12}$ of the area of the larger circle. How many degrees are in the measure of (the smaller) $\angle ADC$

Answers

Angle ADC = 120 degrees.

What is area of sector?

A certain portion of a circle that is created based on two radius of the same circle and one arc. Area of sector for a circle with radius r is given by π r²Ф/ 360°

What is the angle of ADC in the smaller circle?

Given, two circles of radius 1 unit and 2 unit which have same center D.

We know area of a circle = π r²

Area of larger circle = π 2² = 4π

it is said that the total area of the shaded region that means area of a particular sector is 1/12 of the area of the larger circle.

area of sector, ACD = 1/12 ×4π

as per the question, the ACD sector is located in the smaller circle that has radius 1 unit.

formula for area of sector ACD = π r² ×Ф/360°

where,Фis the central angle of ACD sector

and Ф = ADC

from the above statement, 4π/12 = π r² ADC/360

                        ADC = 1/3×360°

ADC = 120 degrees

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Carly is telling Stephanie about her parents' divorce. Which body language would best display that Stephanie is actively listening to Carly?

Returning text messages as Carly speaks.
Turning her body toward Carly.
Stopping Carly's story to ask questions.
Focusing on people in the background.

Answers

Answer:

Turning her body toward Carly.

Step-by-step explanation:

Since turning someone's body towards the speaker means that they are actively paying attention. If she would return text messages, it would make it look like Stephanie doesn't care at all, same thing for focusing on people in the background. If she were to stop Carly's story to ask off-topic questions, it would also make Stephanie seem ignorant.

Seven netball teams played in a school's competition. Each team had 7 players. If 3/7 of the number of players were disqualified for poor conduct, how many pupils were qualified?

Answers

28 players.

We know that there are seven teams with seven players each. This is 49 players total. We know that the fraction 3/7 must be equal to x/49. Since we multiples the denominator by 7, we have to multiply the numerator by 7 too. This is 3 x 7 =21. Therefore, 21 out of the 49 players were disqualified. However, the question wants to know how many qualified, so we must subtract. 49-21=28 players. Hope this helped!

Please help me with this question:
What is 2x-2?​

Answers

Answer:

as a factor 2(x-1) this should help or be the correcr answer

Answer:

It’s -4

Explanation:

Winston has a savings in a bank and was surprised that his money
accumulated to P 65. 000 after 3 years. He knew that the bank offered him 5%
interest rate compounded bimonthly. How much was his sayings at the start?​

Answers

The initial saving of the Winston was $55952.48

Compound Interest

Compound interest is when you receive interest on both your interest income and your savings.

According to the question given,

Let the initial savings amount be P

We know Compound interest =

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per year

t = number of time periods elapsed

Given,

A = $65000

t = 3 years

r = 5% = 0.05

n = 2 *12 = 24

So

65000 = P(1 + (0.05/24))^72

P =  $55952.48

Therefore the initial savings was  $55952.48

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Solve the inequality x-4 < - 3.Then graph the solution set.show your work.

Answers

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

 + 4    +4                        Do inverse operations by adding 4 on both sides

    x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

Calculate the slope of the line.
m=

Answers

Answer:

m=4

Step-by-step explanation:

look at the traingle formed with line with points (6,5) and (4, -3)

look at change in y (how tall the triangle is) and change in x (the base of triangle)

change in y=8

change in x=2

m=rise/run also known as change in y/change in x

=8/2

=4

note that this is a positive gradeint line

Find the mean, variance and standard deviation for the probability distribution given below:
X -1 3 9 12
P(X) 0.587 0.115 0.21 0.088
A. Mean = B. Variance = C. Standard Deviation =

Answers

The mean, variance, and standard deviation for the probability distribution given are A. Mean = 5.5; B. Variance = 13.875; C. Standard Deviation = 3.722.

The mean, variance and standard deviation of the probability distribution can be calculated using the formula. The mean is calculated by summing up the product of all the values and their respective probabilities and then dividing it by the total probability. In this case, the mean is calculated as:

(1*0.587 + 3*0.115 + 9*0.21 + 12*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 5.5.

The variance is calculated by summing up the product of the squares of the values and their respective probabilities and then dividing it by the total probability. In this case, the variance is calculated as:

(1^2*0.587 + 3^2*0.115 + 9^2*0.21 + 12^2*0.088)/(0.587 + 0.115 + 0.21 + 0.088) = 13.875.

The standard deviation is the square root of the variance and it is calculated as √13.875 = 3.722.

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Select the correct answer.
How many solutions does this system of equations have?
y = 2x + 5
y = x^3 + 4x^2 + x + 2

A. No solution
B. 1 solution
C. 2 Solutions
D. 3 Solutions

Answers

An equation is formed of two equal expressions. The number of solutions that the given system of equation will give is 3. Thus, the correct option is D.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The number of solutions that the system of equations will have can be found by plotting both the equation on the graph.

Since the point at which the graph intersects is the solution of the system of equations.

Hence, the number of solutions that the given system of equation will give is 3. Thus, the correct option is D.

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Please help! Due Soon - You will get 30 points and brainliest! - 4 pictures in total - links=reported - thanks!

Answers

Answer:

(the last one) i think its B

Step-by-step explanation:

PLZ I NEED HELP NOW THANKS

Answers

Answer:

1240.4 mm²

Step-by-step explanation:

SA of Pentagonal pyramid:

(as)(5/2) + (sl)(5/2)

↑ ↑

base area lateral area

_____________________

a: apothem (in-radius) length, s: side length.

l: slant height.

______________________

Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.

Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.

A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).

With this information the surface area is:

(16)(20)(5/2)mm + (440.4 mm²) →

800 mm² + 440.4 mm² =

1240.4 mm²

PLEASE HELP! WILL GIVE BRAINLIEST!

Khan Academy - Solve Similar Triangles (advanced)

Solve for X.

Answers

Answer:

x = 3[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

4 + 6 = 10

[tex]\frac{2}{6}[/tex] = [tex]\frac{x}{10}[/tex]

6x = 20

x = 3[tex]\frac{1}{3}[/tex]

If { 4x+y=13
x−y=2

, then y=

Answers

Answer:

2.5

Step-by-step explanation:

Taking eguation i

4x+y=13

x= 13-y/4

Taking equation ii

x-y = 2

Substituting the value of x in eq i from ii

x- y =2

13-y/4- y=2

13-y-y=2×4

13-2y =8

-2y=8-13

y=-5/-2

Therefore y=2.5

2. Tell whether the segment lengths form an acute, right, or obtuse? 9, 12, 17​

Answers

Answer:

obtuse angled triangle

Step-by-step explanation:

Given 3 segments , say a, b and c , with c the longest then

• If a² + b² = c² ⇒ right triangle

• If a² + b² > c² ⇒ acute triangle

• If a² + b² < c² ⇒ obtuse triangle

Here c = 17 and 17² = 289

9² + 12² = 81 + 144 = 225

Since 225 < 289 , then triangle is obtuse

y = -11x - 25 ...........(i)
y = 5x - 7 ...............(ii)

Answers

Answer:

3/2

Step-by-step explanation:

5x-7=-11x-25

5x+11x=-25+7

16x=18

x=18/16

x=3/2

Add: 2y+1/y-3+y+2/6y 1.Find the LCD. LCD= (y-3)(6y) 2. Multiply to create common denominators. 2y+1/y-3 (6y/6y)= 12y^2+6y/(y-3)(6y)

Answers

Answer:

C

Step-by-step explanation:

edge 2020

C 12y^2+5y-6/(y-3)(6y)

How many 1/3 cup servings are there in 10 cups of cereal?
Answers:
30
1/10
1/3
9

Answers

Answer:

30

Step-by-step explanation:

HELP!!! NO LINKS PLEASE!!!

a) A designer has a circular tablecloth with radius 0.5 m. He wants to sew a fringe around the cloth. The fringe is sold by the tenth of a meter.


(i) What length of fringe is needed?



(ii) One meter of fringe costs $4.70. How much will the fringe cost?



b) A semicircular mat has a diameter of 18 m. What is the area of the mat?

Answers

Step-by-step explanation:

a) (i) length = 2(pi)r = 2(3.14)(.5 m) = 3.14 m

(ii)3.14 m × ($4.70/m) = $14.76

b) A = (pi)r^2 = (3.14)(18 m)^2 = 1017.9 m^2

To the nearest square centimeter, what is the area of the shaded sector in he circle shown below? Radius= 12 cm, angel = 110 degrees

Answers

Answer:

138.23 cm²

Step-by-step explanation:

The formula for the area of a sector is given as:

θ/360 × πr²

θ = 110°

Radius = r = 12 cm

Hence

Area of a sector = 110/360 × π × 12²

= 138.23007676 cm²

Approximately, Area of a sector = 138.23 cm²

Why are the acute angles of an isosceles right triangle always 45?

Answers

An isosceles right triangle has two sides that are equal in length; this means that the angles opposite the sides must also be equal. Since the triangle is a right triangle and the sum of angles of a triangle is 180 degrees, the angles must each be 45 degrees.

The acute angles of an isosceles right triangle are always 45 because of the Pythagorean Theorem. This theorem states that in a right triangle the sum of the squares of the two sides adjacent to the right angle (the legs) is equal to the square of the hypotenuse. Since an isosceles right triangle has two equal legs, and the hypotenuse is the longest side, the two legs must both have the same length, and the angles opposite from these sides must also be the same. This means that the two acute angles in an isosceles right triangle must both be 45 degrees.

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1. True or False: The solution you get from substitution is the same as the solution you would get
from graphing. *
False
True

2. For substitution, we want *
(1 Point)
a. both equations to be in standard form Ax + By = C
b. equations with negative numbers
C. at least one equation to be y= or x=
d. equations with positive numbers

Answers

answer:

my answer to the first one would be false

my answer to the second would be a

cans someone please help me

Answers

Find the area of the rectangle and the triangle then add them.

16x8= rectangle area
(6x4)/2 = triangle area

Sum of two areas= 140

Answer:

8 x 16 = 128 (area of rectangle)

Area of triangle:

16 - 12 = 4

6 x 4 = 24

24 divided by 2 = 12 (area of triangle)

Now lets add both areas:

128 + 12 = 140 ft2 is your answer.

m(x)=−2(x−3)(x−9) solve for y-intercept

Answers

Answer:

(0, -54)

Step-by-step explanation:

We find the y-intercept by plugging in 0 for x:

[tex]y=-2(x-3)(x-9)\\y=-2(0-3)(0-9)\\y=-2*-3*-9\\y=6*-9\\y=-54[/tex]

Taylor drives 7.5 miles in 10 minutes. If she drove two hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Taylor drive in total?

Answers

Answer:

200 is your answer. (insert more text to be helpful here)

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