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

find the measure of angle 3
please help !!

Answers

Answer:

∠3 = 140°

Step-by-step explanation:

∠4 = 40°

∠4 = ∠1 (vertical angles)

∠1 = ∠2 (alternate angles)

∠2 = 40°

So,

∠2+∠3 = 180 [Angles on a straight line add up to 180°]

40 + ∠3 = 180

∠3 = 180-40

∠3 = 140°

Answer:

Angle 3 = 140°

Step-by-step explanation:

Angle 4 is equal to 40° and on a flat surface of 180°, that is, the first horizontal line, angle A is equal to 140° because 180° - 40° = 140°. Angle A is congruent to angle 3, therefore, angle 3 is also 140°.

Which of the following are accepted without proof in a logical system check all that apply

Answers

U might want to include the possible answers because there is no way we can answer this question without the possible answers.

Answer:

postulates, common notions, and axioms

Topic: Probability


Only complete question 12.

Answers

Answer:

see below

Step-by-step explanation:

bag: 3 red + 2 black = 5 total

Box: 4 green + 1 yellow = 5 total

P(red) = number of red/ total in bag = 3/5

P(green) = number of green / total in box = 4/5

P( red, green) = P(red) * P(green) = 3/5*4/5 = 12/25

A candle maker uses a mold to make candles like
the one shown below.
(photo attached)

The height of the candle is 13 cm and the
circumference of the candle at its widest measure is
31.416 cm. Use modeling to approximate how
much wax, to the nearest cubic centimeter, is
needed to make this candle.

Answers

Answer: 340 cm3  

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:  

Circumference = 2π radius

Replacing with the circumference value and solving for r:

31.416 =2π r

31.416 /2π =r

5cm =r

And then:

Volume of a cone = 1/3 x π x radius^2 x height  

Replacing with the values given:  

V = 1/3 π (5)^2 (13) = 340 cm3  

Feel free to ask for more if needed or if you did not understand something.  

a theatre ticket costs £63 plus a booking fee of 3%.

what is the total price of the ticket?

Answers

Answer:

64.89£

Step-by-step explanation:

Given:

Theater ticket costs £63

Booking fee: 3% of original price

Solve for:

Total price of ticket

Solution:

Step 1: Select relevant procedure

The total price including the booking fee, then before working out the total price, the booking fee should be calculated.

Step 2: Perform the calculation

The booking fee of ticket is calculated by:

BF = 3% of £63 or (3/100) x 63 = 1.89

Adding up the ticket price and booking fee to get total price:

Total price = ticket price + booking fee = 63 + 1.89 = 64.89£

Hope this helps!

:)

ANSWER: £64.89

this is because 1% of £63 is 0.63 and if u multiply 0.63 by 3 then the answer is £1.89. you should then add 1.89 onto 63 and that gives u a final answer of £64.89

Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie's explanation? Kylie is correct. Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly. Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly. Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

Answers

Answer:

Given:

Step-by-step explanation:

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

This is because the product will be a trinomial and the polynomial will not result in a difference of squares. A difference of squares is when the factor are inverse to each other.

C- Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Latoya paid $17.64 for a 7.94-kg bag of dog food. A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. Find the unit price for each bag. Then state which bag is the better buy based off the unit price. Round your answer to the nearest cent

Answers

Answer: The answer is given below

Step-by-step explanation:

From store 1:

Latoya paid $17.64 for a 7.94-kg bag of dog food. The unit price will be the price paid divided by the quantity. This will be:

= $17.64/7.94

= $2.22 per kg

For store 2:

A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. The unit price in the second store will be: $18.88/8.39 = $2.25 per kg.

The unit price of the first store is a better buy because the price is cheaper.

Answer:

the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents

Step-by-step explanation:

To calculate the unit price we must divide by the price by the weight, thus we will obtain the value for each kilogram of dog food:

First price:

17.64 / 7.94 = 2.22

In other words, the price is 2.22 dollars per kilogram.

Second price:

18.88 / 8.39 = 2.25

In other words, the price is 2.25 dollars per kilogram.

Which means, that the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents.

PLEASE determine the product or quotient:
a) (2x^2)(-4x^5)
b) (36m^2) / (-9nx)
c) -11ab^9b^6 / 5b^3a

Answers

Answer:

a ) - 8x^7,

b ) - 4m^2 / nx,

c ) - 11a^2b^18 / 5

Step-by-step explanation:

[tex]a ) (2x^2)(-4x^5),\\-2x^2\cdot \:4x^5,\\-8x^5x^2,\\-8x^7\\\\Solution = -8x^7[/tex]

To solve this problem, I removed ( ), multiplied the terms, and through the " exponential rule " added the exponents to derive the solution - 8x^7

[tex]b ) (36m^2) / (-9nx),\\-\frac{36m^2}{9nx},\\-\frac{4m^2}{nx}\\\\Solution = -\frac{4m^2}{nx}[/tex]

Here I simplified the bit " 36 / 9 " which was found as 4 in the numerator, deriving the solution - 4m^2 / nx

[tex]c ) -11ab^9b^6 / 5b^3a,\\-11b^9\frac{b^6}{5}b^3a^{1+1},\\-11b^9\frac{b^6}{5}b^3a^2,\\-11\cdot \frac{b^6}{5}b^{9+3}a^2,\\-11\cdot \frac{b^6}{5}b^{12}a^2,\\-\frac{b^6\cdot \:11b^{12}a^2}{5},\\-\frac{11a^2b^{18}}{5},\\\\Solution = -\frac{11a^2b^{18}}{5}[/tex]

I applied a combination of " the exponential rule " and the addition of these exponents to receive a simplified solution - 11a^2b^18 / 5.

In which number is the value of the 6 ten times the value of the 6 in the number
6,000?

Answers

Answer:

600

Step-by-step explanation:

the value of 6 in 6000 is thousands

600x10=6000

Answer:

Step-by-step explanation:

Simplify the following 3 x a x 2 x b

Answers

Answer:

6 times ab

Step-by-step explanation:

3 times 2 = 6

a times b = ab

Answer:

6ab

Step-by-step explanation:

What is the inverse of the function f(x) = 4x + 8

Answers

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

Answer:

x/4 - 2 = y

Step-by-step explanation:

soo switch x and f(x)

x=4y+8

then bring it back to like how it was before

x-8=4y

then

(x-8)/4=y

then simplify

x/4 - 8/4 = y

which can then be simplified to

x/4 - 2 = y

Carlos is five years older than twice his sister's age. Carlos is 13.

Which equation and solution correctly identifies his sister's age?

A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer

Answers

Answer:

a. ) 4

Step-by-step explanation:

13-5= 8

8/2=4

Answer:

A.) 2 x + 5 = 13; x = 4

Step-by-step explanation:

I need the answers immediately hw is due in 5 mins!!!!!!!
Which is NOT a solution of the inequality: 5 - 2x ≥ -3 ? *
0
2
4
5

Answers

Answer: 5

Step-by-step explanation:

tons of points easy what is 9.5 x 19 equal

Answers

Answer: 180.5

9.5
X19.0
=180.5

Answer:180.5

Step-by-step explanation:

9.5 x 19

361/2=180.5

2 3 x = − 1 2 x + 5 what is x?

Answers

Answer: 1/7

Step-by-step explanation:

23x = -12x + 5

23x + 12x = 5

35x = 5

x = 1/7

Find the slope of the line that passes through (2, 16) and (10, 7).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-9/8

Hope this helps

The right answer is - 9/8

please see the attached picture for full solution

Hope it helps..

Simplify the ratio 68:28​

Answers

Answer:

17:7

Step-by-step explanation:

68/4 = 17 and 28/4 = 7

Thus, 68:28 ratio simplified is 17:7

Please brainliest me Pls

Answer:

The answer is 17/7 or 2.43

HELP. THIS IS ABOUT DILATION EXPLANATION NEEDED

Answers

Answer:

(16,14)

Step-by-step explanation:

Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.

This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)

Answer:

To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.

Jim, Dan and David share some sweets in the ratio 3:1:5. Jim gets 21 sweets. How many more sweets does David get over Dan?

Answers

Answer:

David gets 28 more than Dan

Step-by-step explanation:

Jim: Dan : David: total

3   :    1    :  5       : 3+1+5 = 9

Jim gets 21

21/3 = 7

Multiply each number by 7

Jim: Dan : David: total

3*7 :  1*7  :  5 *7  :  9*7

21  :   7     :  35   :  63

David has 35 and Dan has 7

35-7 = 28

David gets 28 more than Dan

not sure on this one

Answers

Answer:

3.5

Step-by-step explanation:

LJ/sin 23° = 9/sin 89°

LJ/0.39 = 9/0,99

LJ = (9*0.39)/0.99 = 3.517

LJ ≈ 3.5

Answer:

3.5

Step-by-step explanation:

∠K is about 3 times less than ∠J

so opposite sides have roughly same ratio

Only the last option, 3.5 is close to the length 3 times less than 9

Someone please help ASAP

Answers

Answer:

5050

Step-by-step explanation:

To solve via calculator, go to the MATH menu, then the 0th option should say "summation" and insert it from there.

To solve algebraically, break the summation into 2 parts. Excuse the strange formatting, I can't find a way to do it normally.

4([tex]\frac{50}{1}[/tex]∑n) -

= 4( [tex]\frac{50(50+1)}{2}[/tex]) - 50(1)

= 5100 - 50

= 5050

Help me quickly I will give brainliest answer to who does it first, look at picture

Answers

Answer:

V = 54 π units³

OR

V = 169.6 units³

Step-by-step explanation:

Volume of a cylinder = [tex]\pi r^2 h[/tex]

V = (3.14)(3)²(6)

V = (3.14)(54)

V = 54 π units³

OR

V = 169.6 units³

8. The difference between two numbers is 14. If 1/3of the larger number is subtracted from the smaller number, the
result equals 1/10 of their sum. Find both numbers.

Answers

Answer:

The values of the 2 numbers whose sum is 13 and difference is 3, are: {8 ; 5}.

Step-by-step explanation:

The numbers 1, 2, ... ,10 are to be entered into the 10 boxes shown below, so that each number is used exactly once: P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square). What is the maximum value of P? What is the minimum value of P?

Answers

Answer:

Maximum: 756

Minimum: 600

Step-by-step explanation:

A square is the shape that has the maximum area out of all possible rectangles of a given perimeter. This means that to create the maximum value of P, you will want the two parentheses to be as close in value as possible, and to create the minimum value, for them to have the biggest difference. 1+2+3...+10=55, which is not even, but can be divided as closely as possible into 27 and 28, which have a product of 756. This can be done in this problem in several ways, one of which is:

(1+3+5+8+10)(2+4+6+7+9)

For the minimum, the largest difference can be made when one term is full of the smallest numbers, and the other is full of the largest, or:

(1+2+3+4+5)(6+7+8+9+10)=600

Hope this helps!


What is the probability that a card drawn randomly from a standard deck of 52 cards is a nine? Express your answer as a fraction in lowest
terms or a decimal rounded to the nearest millionth.

Answers

Answer:

1/13

Step-by-step explanation:

There are 4 nines in a deck so the probability is 4/52 = 1/13

The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.

What is Probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, Total outcomes = 52 cards

         Number of cards which contain 9 = 4 cards

Probability = favorable outcomes/ total outcomes

                   = 4 / 52

                  = 1/13

Thus, The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.

Learn more about Probability from:

https://brainly.com/question/11234923

#SPJ2

13. What is the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of tt.
O 6 cm
O 247 cm
O 12 cm
O 9 cm​

Answers

Answer:

C = 6pi cm

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 6pi cm

what is the value of 7²-3³​

Answers

Answer:

22

Step-by-step explanation:

7^2 - 3^3

Exponents first

49 -27

Then subtract

22

Answer: 22

Step-by-step explanation:

Exponents mean how many times you multiply the number. So basically you would 7 times 7 minus 3 times 3 times 3. 7 times 7 is 49. 3 times 3 is 9. 9 times 3 is 27. 49 minus 27 is 22.

first is brainliest 0~0

Answers

Answer:

65.60

Step-by-step explanation:

First find the markdown

markdown = original price times the percent markdown

                  = 80* 18%

                  = 80 * .18

                     14.4

Take the markdown from the original price to find the retail price

80-14.4 =65.60

A number is chosen at random from the set of two digits numbers from 10 to 99 inclusive. what is the probability the number contains at least one digits 2?.​

Answers

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

There are 99 - 10 + 1 = 90 numbers between 10 and 99

There are 18 numbers that have at least one two digit.

[tex]\frac{18}{90}=\frac{1}{5}[/tex]

Write the equation of a line that is parallel to 3x-2y=5 and passing through the point (-1,3)

Answers

Answer:

y = 3/2 x + 9/2

Step-by-step explanation:

3x - 2y = 5

3x - 5 = 2y

3/2 x - 5/2 = y

y = 3/2 x - 5/2, slope of this line m = 3/2.

For parallel line slope is the same.

y = mx + b

y = 3/2 x + b

Using point (-1,3) , we can find b.

3 = (3/2)*(-1) + b

3 = -3/2 + b

b = 3 + 3/2 = 6/2 + 3/2 = 9/2

y = 3/2 x + 9/2

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