What is the greatest common factor of the terms in the expression StartFraction 7 over 3 EndFraction a b minus StartFraction 7 over 6 EndFraction b? One-third b One-third a b 7 b 7 a b

Answers

Answer 1

Answer:

(C)7b

Step-by-step explanation:

Given the expression:

[tex]\dfrac{7}{3}ab-\dfrac{7}{6}b[/tex]

Let us factor the expression:

[tex]=\dfrac{7b}{3}\left(a-\dfrac{1}{2}\right)[/tex]

Since we need the greatest common factor, we can rewrite the expression as:

[tex]7b\left(\dfrac{1}{3}a-\dfrac{1}{6}\right)[/tex]

Therefore, the greatest common factor is 7b.

The correct option is C.

Answer 2

Answer: C. 7 b

Step-by-step explanation:

Got it right on edge


Related Questions

1. Steven delivers 56 newspapers every day of the week except Sunday. How
many papers does he deliver in all?
Ans:​

Answers

Answer: 336 papers

Step-by-step explanation:

A week except Sunday = 6 days

56 newspapers * 6 days = 336 newspapers in all

Answer:

336

Step-by-step explanation:

Given That:

Days : 7 - 1 = 6

Number of papers per day : 56

SO,

all papers: 56 x 6 = 336

Hope this helps.

One of the base for a trapezoid is 5in the other is unknown the height is 3in the area is 18in what is the other base.

Answers

Answer:

7 inches

Step-by-step explanation:

formula for a trepezoid is 1/2(a+b)*h

1/2(5+x)X3=18 (now make x the subject)

(5+x)X3=36

5+x=12

x=7

so the other base is 7in

What is the correct formula for calculating a 3 x 3 determinant?

Answers

To work out the determinant of a 3×3 matrix:

Multiply a by the determinant of the 2×2 matrix that is not in a's row or column

Likewise for b, and for c

sum them up, but remember the minus in front of the b

_____________________________________________________

Hope this helps, stay safe, have a good day :D

Answer: it’s C

Step-by-step explanation:

just took the assignment

What are the zeros of the function g(x)=2(x+2)(x-9) located at

Answers

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is

2(x + 2)(x - 9) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

What is the zeros and y-intercept of a function?

Zeros is the Intersection points of the considered function's curve on input axis(usually represented by values of x)

y-intercept = Intersection points of the considered function's curve on output axis. On x-axis, value of y-coordinate is 0, On y-axis, value of x-coordinate is 0.

Thus, if function is y=f(x) then putting y = 0 gives zeros of the function.

And putting x = 0 gives the y-intercept of the function. (if any, for both cases).

Given the function as;

g(x) = 2(x + 2)(x - 9)

To find the zeros let g(x) = 0, that is;

2(x + 2)(x - 9) = 0

Then Equate each factor to zero and solve for x;

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

Hence, the zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

what is the output value for the following function if the input value is 1?
y=3x + 1

Answers

Answer:

The output value is 4

Step-by-step explanation:

The output value is the y value, so y=3(1)+1

y=3+1

y=4


A mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?

Answers

Answer:

The answer is 13! which equals 6227020800.

John would like to go on a ski trip with his friends. In order to go on the trip, John needs to save more
than $350 dollars. Write an inequality that describes, M, the money that John needs to save.

Answers

Answer:

$350 < M

Step-by-step explanation:

A multi level parking lot has 6 levels and there are total of 1,327 parking spots. There are 162 parking spots on the first level. The rest of the parking spots are distributed equally on the other 5 levels. How many parking spots are there on the top level? *

Answers

Answer:

233 parking spots

Step-by-step explanation:

1327 - 162 = 1165

1165 ÷ 5 = 233

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

work is shown and pictured

find the missing number pleasee i really need help


1. 6x - ? = 6

2. 6x - ? = 4x - 10


find the missing number where the ? is at .

Answers

Answer:

1) -1

2) -6.66666666667

Step-by-step explanation:

brainiest pls

Factor-8x^3-2x^2-12x-3 by grouping

Answers

Answer:

[tex]=-\left(4x+1\right)\left(2x^2+3\right)[/tex]

Step-by-step explanation:

[tex]-8x^3-2x^2-12x-3\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(8x^3+2x^2+12x+3\right)\\\mathrm{Factor}\:8x^3+2x^2+12x+3:\quad \left(4x+1\right)\left(2x^2+3\right)\\8x^3+2x^2+12x+3\\=\left(8x^3+2x^2\right)+\left(12x+3\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}12x+3\mathrm{:\quad }3\left(4x+1\right)\\12x+3\\\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4\\=3\cdot \:4x+3\\\mathrm{Factor\:out\:common\:term\:}3\\=3\left(4x+1\right)[/tex]

[tex]\mathrm{Factor\:out\:}2x^2\mathrm{\:from\:}8x^3+2x^2\mathrm{:\quad }2x^2\left(4x+1\right)\\8x^3+2x^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\=8xx^2+2x^2\\\mathrm{Rewrite\:}8\mathrm{\:as\:}2\cdot \:4\\=2\cdot \:4xx^2+2x^2\\\mathrm{Factor\:out\:common\:term\:}2x^2\\=2x^2\left(4x+1\right)\\=3\left(4x+1\right)+2x^2\left(4x+1\right)\\\mathrm{Factor\:out\:common\:term\:}4x+1\\=\left(4x+1\right)\left(2x^2+3\right)\\=-\left(4x+1\right)\left(2x^2+3\right)[/tex]

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true? A line has points A, D, B, K, C. AD = One-thirdAC AC = 4DB AB + DC = AC BK = KC

Answers

Answer:

AC = 4DB

Step-by-step explanation:

see attachment

Given that B is the midpoint of AC, this means that AB≅BC.

Also, D is the midpoint of AB, therefore AD≅DB.

This shows that AD is 1/4 of the length of AC, since it is 1/2 of the length (1/2 x 1/2 = 1/4).  DB is the same length, since it is congruent to AD.

Thus, AC = 4DB.

Answer:

B. AC = 4DB

May I have brainliest please? :)

Please please please answer this if you do this i will give you brain list I’ll give a thank you and I’ll rate you five star. It’s due soon so pls answer FAST!!

Answers

Answer:

b) 30^2 + b^2 = 40^2

Step-by-step explanation:

This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2

c ^ 2 always is on the right hand side of the equation.

In this case since 40^2 is c^2 is should be on the right side of the equation.

Two bags contain coloured cubes.
Bag 1 has 3 red cubes and 1 blue cube.
Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.
Is the probability that you will get a red cube from Bag 1 and the yellow cube from Bag 2 more or less than the probability of getting the blue cube from Bag 1 and a green cube from Bag 2? Explain.

Answers

Answer:

equal

Step-by-step explanation:

Bag 1 has 3 red cubes and 1 blue cube.  = 4 cubes

Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes

P ( red bag 1) = red /total = 3/4

P (yellow  bag 2) = yellow /total = 1/5

P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

P ( blue bag 1) =blue /total =1/4

P (green  bag 2) = green /total = 3/5

P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20

The probabilities are equal

The right trapezoid below has been decomposed into a rectangle and a right triangle.Find it's area two ways: By summing the areas of the rectangle and triangle.

Answers

Answer:

103.5 m²

Step-by-step explanation:

To find the area of a right trapezoid, you can decompose it into a rectangle and a triangle. The sum of the area of  the rectangle and the triangle gives the area of the trapezoid.

For the right trapezoid attached below, the area can be gotten by:

Area of rectangle = length × breadth = 9 × 8 = 72 m²

Area of triangle = 1/2(base × height) = 0.5 × 7 × 9 = 31.5 m²

Area of trapezoid = Area of rectangle + Area of triangle = 72 m² + 31.5 m² = 103.5 m²

25 points:)

question 2-3

Answers

Answer:

2) r=73

Step-by-step explanation:

all 4 sided shapes add up to 360.

so 90+90=180

180+107=287

360-287=73

so r=73

Find the equation of the exponential function represented by the table below:
X
0
1
2
3
Y
4
16
64
256
Y= ?

Answers

Answer:

y = [tex]4^{x+1[/tex]

Pick out the definition of the word.
Irregular
A
not normal
B
not registered
C
not unusual

Answers

Answer: Not normal

Step-by-step explanation:

Regular (in math) refers to an integer that is a whole number or the integers that make up a whole number.

If it’s irregular then it’s not a normal integer like a whole number.

Two lions, Fluffy and Fireball, met at the zoo. Fluffy's tail is 1 1/3 of a meter long. Fireball's tail is 1 1/4 of a meter long. How much longer is Fluffy's tail than Fireball's tail?

Answers

Answer:

11 / 12 m

Step-by-step explanation:

11/3 - 11/4

LCM= 4*3=12

11/3 * 4/4 = 44/12

11/4 * 3/3 = 33/12

11/3 - 11/4

44/12-33/12= 11/12

Answer:

1/12

Step-by-step explanation:

First, simply convert the fractions into an improper fraction.

1 1/3= 4/3

1 1/4= 5/4

Then make conevrt it so the denominator  is the same. In this case, the denominatorwould be 12.

4/3= 16/12

5/4=  15/12

Finally subtract regularly.

16/12-15/12= 1/12


Can someone help me with this geometry question I don’t understand it

Answers

when answering questions like these, it helps to draw arrows,, the variable will always be on top, so in this situation you would draw an arrow from the a to the 10 and an arrow from the 38 to the 12 making them both fractions, you would then cross multiply, after cross multiplying you would get 12a=380 then you would divide by 12 equaling 31.6

Caylee caylee build a rectangular prism using 18 cubes that are each measure 1 cm on each side. What could be the dimensions of her rectangular prism

Answers

Answer:

2cm by 3cm by 3cm.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to help us in solving this particular Question or problem;

=> We have a built rectangular prism.

=> The rectangular prism was built by using 18 cubes.

=> Each of the 18 cubes measure 1 cm on each side.

So, the dimensions of Carley's rectangular prism is given below as the multiples of 18 since each of the 18 cubes measure 1 cm on each side.

That's 2 cm × 3 cm × 3cm. Therefore, the length will be 2cm, breadth will be 3cm and height will be 3cm.

What is 12 1/4`÷7/8

Answers

Answer:

14

Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.


1) 2x – y = 1
2x +2y = 10


2) 5x – y =15

x + y = -3


please do both of these with explanation!!

Answers

Answer:

1) (2, 3)

2) (2, -5).

Step-by-step explanation:

2x – y = 1

2x +2y = 10   Subtract to eliminate  the 2x:

2x - 2x - y - 2y = 1  - 10

-3y = -9

y = 3.

Plug this into the first equation:

2x - 3 = 1

2x = 4

x = 2.

2)

5x – y =15

x + y = -3     Adding to eliminate y:

5x + x - y + y = 15 + -3

6x = 12

x = 2

Plug this into the first equation:

5(2) - y = 15

-y = 15 - 10 = 5

y = -5.

You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?

show work pls!

Answers

Step-by-step explanation:

If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is = .

One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.

Answers

Answer:

2160

Step-by-step explanation:

1872(volume of the cube)+288(volume of the square pyramid)=

2160

v of cube= lwh

v of square pyramid= a² times h/3

please mark brainliest!

Ashley is on her way home in her car. She has driven 18 miles so far, which is two-thirds of the way home. What is the total length of her drive?

____ Miles

Answers

Answer:

27 miles

Step-by-step explanation:

2/3rds of the way home is 18 miles

2/3 d = 18

Multiply each side by 3/2

3/2 * 2/3 = 18 *3/2

d = 27

The distance is 27 miles

Help im lazy im looking for h

Answers

Answer: h = -13

Step-by-step explanation: To get the answer for h all we have to do is....

78 ÷ -6 = -13

Let's check our work....

-6 x -13 = 78

I hope this helps!

Answer:

h= -13

Step-by-step explanation:

To solve the equation, we want to find out what h is. In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-6h=78

h is being multiplied by -6. The opposite of multiplication is division. Divide both sides by -6.

-6h/-6=78/-6

h=78/-6

h= -13

Let's check our solution. Substitute -13 back in for h in the original equation.

-6h=78

-6(-13)=78

Multiply

78=78

Since both sides of the equation are the same, we know that the correct answer is h= -13.

(algebra) i think of a number add 3 to it and multiply the result by seven what is the answer

Answers

Answer:

[tex]7x+21[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]x+3[/tex]

[tex]7(x+3)[/tex]

Expand the brackets.

[tex]7x+21[/tex]

7x + 21
seven x plus twenty-one

A cylindrical container of five rubber balls has a height of 30 centimeters and a diameter of 6 centimeters. Each ball in the container has a radius of 3 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.

Answers

Answer:

There is 170 cm³ free space in the container.

Step-by-step explanation:

Cylindrical container: height = 18 cm ; diameter = 6 cm.

3 balls each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3  π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

113.04 cm³  * 3 balls = 339.12 cm³

508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!

Answers

Answer:

-6 =x

Step-by-step explanation:

g(x) = -3x -8

g(x) = 10

10 = -3x-8

Add 8 to each side

10+8 = -3x-8+8

18 = -3x

Divide by -3

18/-3 = -3x/-3

-6 =x

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