Mathematics Middle School

Rewrite 14a5b + 7ab2 using a common factor.

7ab(2a5b + 7ab2)
7ab(2a4 + b)
14ab(2a4 + 7ab2)
21a5b(7 + 3ab2)

Answers

Answer 1

Answer:

\(7ab(2 {a}^{4} + b)\)

Step-by-step explanation:

We want to pull out common factors.

\(14{a}^{5}b\)

\(7a{b}^{2}\)

Common factors between 14 & 7? 7

Common factors between a5b & ab2? ab

\(7ab(2 {a}^{4} + b)\)

Check

\(7ab(2 {a}^{4} + b) \\ 7ab(2 {a}^{4} ) = 14 {a}^{5}b \\ 7ab( b) \: = 7a {b}^{2} \\ = 14{a}^{5}b + 7a {b}^{2}\)

Related Questions

HELPPP 4 BRAINLIST INSTANTLY

HELPPP 4 BRAINLIST INSTANTLY

Answers

Hi, I think the last one is correct.

I think the answer is the fourth one  

Please Help :(
Look at the imagine pleaseeeeeeeeeeeeeeeeee

This graph shows the weights of some rocks in Jonathan's rock collection.
Weights of rocks
How much heavier is the heaviest rock than the lightest rock?
Write your answer as a proper fraction, mixed number, or whole number.

Please Help :(Look at the imagine pleaseeeeeeeeeeeeeeeeeeThis graph shows the weights of some rocks in

Answers

Answer:

5/8oz.

Step-by-step explanation:

7/8-2/8=5/8

=5/8oz.

Hope this helps :)

Cindy wants to predict how much energy she will use to heat her home based on how cold it is outside. The graph below shows the mean amount of gas per day (in cubic meters) that Cindy used each month and the average temperature that month (in degrees Celsius) for one heating season. Which statement is the best description of the association between these variables?

Cindy wants to predict how much energy she will use to heat her home based on how cold it is outside.
Cindy wants to predict how much energy she will use to heat her home based on how cold it is outside.

Answers

B
As the temperature increase the gas used continuously goes down on the chart

HELP HEKP HELP PLEASE!

HELP HEKP HELP PLEASE!

Answers

Step-by-step explanation:

Lateral Surface Area = 4 X (Side)2

                                   = 4 X (1.8)²

                                   = 4 X 3.24

                                   = 12.96 cm²

∴ The lateral surface area of the net of the cube is 12.96 cm².

I HOPE THIS WILL HELP YOU!!!

The table shows the multiplication of two linear expressions. Select the correct reason for each step.


Reason 1:

Reason 2:

Reason 3:

Reason 4:

The table shows the multiplication of two linear expressions. Select the correct reason for each step.Reason

Answers

Answer:

Step-by-step explanation:

reason 1:

opening of brackets to solve the expression

reason 2:

in multiplication order is followed i.e. the number always lead the variable in the expression

reason 3:

for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable

reason 4:

the solved and simplified expression is delivered as a result

The only way to do it is if you are in the t

Abigail has $30.00 to buy groceries.she needs to buy some apples,some bananas, and 3 pounds of potatoes.Fuji apples are $1.79 a pound ,bananas are$0.36 each, and potatoes are 2.99 for a 3 lb bag. If a represents the number of pounds of apples Abigail buys b represents the number of bananas she buys,which expression represents the amount of change she receives after her purchases?

Answers

Answer:

An expression represents the amount of change she receives after her purchases is y=-1.79a-0.36b+27.01

Step-by-step explanation:

Let a represents the number of pounds of apples

Let b represents the number of bananas

Cost of 1 pound apple = $1.79

So, Cost of a pounds apples = 1.79 a

Cost of 1 banana = $0.36

Cost of b bananas = 0.36b

Cost of 3 lb bag of potato i.e. 3 pounds of potato = $2.99

So, Total cost = 1.79a+0.36b+2.99

Abigail has $30.00 to buy groceries

Let y be the change received by her

So, Change received by her:

y = 30-( 1.79a+0.36b+2.99)

y= 30-1.79a-0.36b-2.99

y=-1.79a-0.36b+27.01

Hence  expression represents the amount of change she receives after her purchases is y=-1.79a-0.36b+27.01

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $3800 and his stock in Company B was worth $3400. The stock in Company A has decreased 22% since last year and the stock in Company B has decreased 12%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Answer: The total percentage decrease in the investor's stock account is 34%

Step-by-step explanation:

The investor's stock in Company A= $3800

The investor's stock in Company B= $3400

Percentage decline in stock of company A= 22%

Decline in value of stock of company A= 3800× 22/100

= 38×22

= $836

Percentage decline in stock of company B= 3400×12/100

= 34×12

=$408

Total decline in wealth of investor= 836+ 408

= $1244

Total percentage decline in wealth= 1244×100/7200

= 124400/7200

= 17.27%

The percentage decrease in investor's stock is 17.27%

For more information about Percentage:

brainly.com/question/18941982

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Please add explaination

Please add explaination

Answers

You count the number of blocks in hight then in length and multiply the answers
It’s around 18 count the inner blocks and see if the ones that aren’t full blocks are equal Im pretty sure it’s 18 I might be wrong if I am that’s embarrassing for me.

y = x + 0
y = -3 + 0


Graphed on a graph please!

Answers

Answer:

Check Pic. Use geogebra or desmos online graphing. I personally like desmom better and it is what I used for this question.

Step-by-step explanation:

y = x + 0y = -3 + 0Graphed on a graph please!

Answer:

Step-by-step explanation:

y = x + 0y = -3 + 0Graphed on a graph please!

An American traveling in Japan wishes to exchange American money for Japanese money. If the exchange rate is $1 = 80 yen, then how many dollars will the traveler need to purchase 10,000yen?

Answers

Answer: $125

Step-by-step explanation:

1/80=x/10,000

10,000/80=125

Hope this helped!

Answer:125 yen

Step-by-step explanation:
Ratio and proportion

Ratio=1:80=x:10,000

x represents dollars which is unknown

1/80=x/10,000

Then you cross multiply

80x=10,000

80x/80=10,000/80

x=125

Therefore,$125 will give you 10,000yen

Liz's age is two-thirds of Debbie's age. Debbie's age is half of Freya's age. what is the ratio of Liz's age to Freya's age?

Answers

Answer:

Let's start by using variables to represent the ages of the three people:

Let L be Liz's age.

Let D be Debbie's age.

Let F be Freya's age.

From the problem, we know that Liz's age is two-thirds of Debbie's age, so we can write:

L = (2/3)D

We also know that Debbie's age is half of Freya's age, so we can write:

D = (1/2)F

To find the ratio of Liz's age to Freya's age, we need to express Liz's age and Freya's age in terms of a common variable. Since we have an equation relating Debbie's age to Freya's age, we can use that as the common variable. From the equation D = (1/2)F, we can solve for F in terms of D:

F = 2D

Now we can substitute this expression for F into the equation for Liz's age:

L = (2/3)D = (2/3)(1/2)F = (1/3)F

So Liz's age is one-third of Freya's age. The ratio of Liz's age to Freya's age is therefore 1:3.

The ratio of Liz’s age to Freya’s is 1:3

Lily and Mackenzie collected some stamps. If Lily gave 4 stamps to Mackenzie, Mackenzie would have twice as many stamps as Lily. If Mackenzie gave 4 stamps to Lily, they would have the same number of stamps. How many stamps did each girl have?

GIVING BRAINLIEST. PLS HELP. SHOW UR WORK TOO

Answers

Answer: hope this helps ♡

Lily had 16 stamps and Mackenzie had 20 stamps.

Step-by-step explanation:

Lily gives 4 stamps to Mackenzie

(Mackenzie)     m + 4 = 2(L - 4)      (Lily)

Solve for Lily:

m + 4 = 2L - 8

m + 4 + 8 = 2L

(m + 12) ÷ 2 = 2L ÷ 2

(m + 12) ÷ 2 = L

L = (m + 12) ÷ 2 (we will substitute this value for L in the second equation)

Mackenzie gives 4 stamps to Lily

(Mackenzie)     m - 4 = L + 4      (Lily)

m - 4 = ((m + 12) ÷ 2) + 4

m × 2 - 4 = ((m + 12) ÷ 2 × 2) + 4

2m - 4 + 4 = (m + 12) + 4 + 4

2m - m = (m - m + 12) + 8

m = 12 + 8

m = 20 (we will substitute this value of m in the next equation)

L = (m + 12) ÷ 2

L = (20 + 12) ÷ 2

L = 32 ÷ 2

L = 16

Solve the word problem and ratio table

Solve the word problem and ratio table

Answers

Answer:

4

Step-by-step explanation:

5tv

helppppp fastttttttttttttttttttttttttttttttttttttttttttt pleaseee

helppppp fastttttttttttttttttttttttttttttttttttttttttttt pleaseee

Answers

Answer: 2.4

-0.6 should be subtracted from 3

The answer you are looking for is 2.4

Please helpp!! Ty ty!♡♡

Please helpp!! Ty ty!

Answers

Answer:

25

Step-by-step explanation:

4a +12 -2c + c

4( ) + 12 - 2( ) + ( )

4(4) + 12 - 2(3) + 3

16 + 12 - 6 + 3

28 - 6 + 3

22 + 3

25

Helping in the name of Jesus.

Answer:     25

Therefore,  4a  +   12   -   2c   +   c  =   25

Step-by-step explanation:

       a  =   4  

       c  =   3

Swap letters for numbers:

        4a  +   12   -   2c   +   c

       (4)(4)  +  12  -     (2)(3)   +    3

         16     +   12   -   (2)(3)   +    3

         28      -            (2)(3)    +    3

         28     -   6     +     3

         22    +      3   =   25

Draw a conclusion:

Hence your answer is:

     4a  +   12   -   2c   +   c   =  25

I hope this helps!

A composite figure is shown.

A five-sided figure with two parallel sides. The shorter one is 16 feet. The height of the figure is 22 feet. The portion from the vertex to the perpendicular height is 6 feet. The portion from a point to a vertical line created by two vertices is 6 feet.

Which of the following represents the total area of the figure?

968 ft2
616 ft2
484 ft2
352 ft2

Answers

Answer:

To calculate the total area of the figure, we can break it down into smaller components and then sum them up.

From the given information, we can determine that the figure is a trapezoid. We have the lengths of both bases (the parallel sides) and the height of the trapezoid.

The formula to calculate the area of a trapezoid is:

Area = (1/2) * (b1 + b2) * h

In this case, the shorter base (b1) is 16 feet, and the height (h) is 22 feet. The longer base (b2) can be determined by subtracting the portion from the vertex to the perpendicular height (6 feet) from the length of the shorter base (16 feet):

b2 = b1 - (vertex portion)

b2 = 16 - 6

b2 = 10 feet

Now we can calculate the area:

Area = (1/2) * (b1 + b2) * h

Area = (1/2) * (16 + 10) * 22

Area = (1/2) * 26 * 22

Area = 286 square feet

Therefore, the total area of the figure is 286 ft². None of the provided options (968 ft², 616 ft², 484 ft², 352 ft²) match this result.

You need to move a figure to the right 3 units and down 4 units.
What is the coordinate notation for this rule?

(x,y) → (x + 3, y + 4)

(x, y) → (x - 3, y + 4)

(x, y) → (x + 3, y - 4)

(x,y) → (x + 4, y - 3)

Answers

(x, y) -> (x + 3, y - 4)

The coordinate notation for this rule as -

(x, y) → (x + 3, y - 4).

What are the types of translations?

There are three types of translations -

reflectionrotationdilation

Given is that you need to move a figure to the right 3 units and down 4 units.

We can write the coordinate notation for this rule as -

(x, y) → (x + 3, y - 4)

Therefore, the coordinate notation for this rule as -

(x, y) → (x + 3, y - 4).

To solve more questions on graph rotation, visit the link below-

https://brainly.com/question/19527326

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Diego runs 7 miles in 63 minutes. Use the table below to determine how long it would take Diego to run 4 miles at this rate.


A.
28 minutes

B.
36 minutes

C.
45 minutes

D.
54 minutes

Answers

The answer is c no problem !

Answer:

B: 36 minutes

Step-by-step explanation:

First, we need to find out how many minutes it takes him to run 1 mile.

63/7=9    So he runs 1 mile in 9 minutes.

To find out how far he runs in 4 minutes, simply multiply 9 by 4.

9*4=36

It will take him 36 minutes to run 4 miles.

Part A Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of transformations that maps shape I onto shape II.


Part B
Complete the sequence of transformations you found in part A, but in a different order. Does this also map shape I onto shape II? What does this mean?


Question 2 Part A
If you reflect any shape across the x-axis and then rotate it 90° clockwise about the origin, do you get the same result as if you reflect it across the y-axis and then rotate it 90° counterclockwise about the origin? What does this mean?


Part B
If you reflect any shape across the x-axis and then rotate it 180° about the origin, do you get the same result that you would if you reflect it across the y-axis and then rotate it 180° about the origin? What does that mean?


Part C
If you reflect any shape across the x-axis and then across the y-axis, do you get the same result that you would if you rotated it 180° about the origin? What does that mean?

Part A Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of

Answers

Part C is the answer

mark me brainliest pls

A it means you flipped the x axis and b it means shahs snsjsisisnsndksnss

How did the Reformation lead to religious conflict in Europe? (b) Why do you think the religious tensions that developed during the Reformation among European nations spread to the Americas?

How did the Reformation lead to religious conflict in Europe? (b) Why do you think the religious tensions

Answers

The constant disagreement between the European countries let to many wars and conflict. These religious tensions were ideas that spread to the americas with the people.These people all came to the americas for religious freedom but didn’t come with an open mind with any old conflicts.

The price of a pair of shoes and a shirt before tax is $24. There is a 7% sales tax on the shoes and the shirt. How much total money will you need to buy the shoes and the shirt?
A. $27
B. $25.68
C. $31
D. $32.89

Answers

B. $25.68 you multiply the 7% and 24 then add the answer to the 24.

The total money will you need to buy the shoes and the shirt will be $25.68. Then the correct option is B.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The price of a pair of shoes and a shirt before tax is $24. There is a 7% sales tax on shoes and shirts.

Let 'T' be the after-tax. Then we have

7% = [(T - 24) / 24] x 100

0.07 = (T - 24) / 24

T - 24 = 1.68

T = $25.68

The total money will you need to buy the shoes and the shirt will be $25.68. Then the correct option is B.

More about the percentage link is given below.

https://brainly.com/question/8011401

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I need help with these questions from 11 to 20. I already did questions 1 through 10 with my math teacher but I'm not in school so please please please answer all of these answers it would mean a lot to me and would help me a lot with the math homework I need to get done, so yeah. Please help.

I need help with these questions from 11 to 20. I already did questions 1 through 10 with my math teacher

Answers

Hope this helps :D

11 is 6 and 3
12 is coefficient
13 is variable
14 is 82b and 3u^2 and 7 and 41h and 54
15 is 9r and 2g
16 is exponent
17 is constant
18 is 21 and 8 and 3
19 is r and g and n
20 is a term
13 answer is
The number and element

What are the solutions of the system 7x + 3y = -3 and y = -2x? (-1, 0) and (0, -1) (-8, 3) and (3, -8) (-1, 0) and (-8, 3) (0, -1) and (3, -8)

Answers

Answer:

(-3 , 6)

Step-by-step explanation:

7x + 3y = -3   ---------- (I)  

y = -2x --------------------(II)

Substitute y = -2x in equation (I)

7x + 3*(-2x) = -3

7x - 6x = -3

x = -3

Plugin x = -3 in equation (II)

y = -2*(-3)

y = 6

Please solve QUICKLY

Please solve QUICKLY

Answers

Answer:

C

Step-by-step explanation:

It isn't B because the point does not start at 600 and it is not A because it shows the entire decrease of the mass in one millennium. The correct answer is c.

It isn't B because the point does not start at 600 and it is not A because it shows the entire decrease of the mass in one millennium. The correct answer is c.

Select the number that makes the statement correct by filling in the blank:

"A percentage of an object is how many parts of it there are out of ___ equal parts."

A. 100

B. 70

C. 400

D. 2

Answers

Answer: 100

Step-by-step explanation: if you mean out of a percent it’s 100%, 100% = 1 whole

Answer:

100

Step-by-step explanation:

what point below is the solution to the expression 2x+y=12
A) (4,2) C) (8,-1)
B) (3,6) D) (0,6)

Answers

The answer is B. If you substitute 3 for x and 6 for y, you get 2(3)+(6)=12, and that simplifies to 6+6=12, which then adds up to 12=12. Hope this helps!

Answer:

Step-by-step explanation:

It's B.

Let's rewrite the expression like this :

2x+y=12 ⇒ y=12-2x

and try given values for x :

if x=4 ⇒ y=12-(2×4)=12-8=4 ( so it is not 2 ) ⇒ wrong if x=3 ⇒ y=12-(2×3)=12-6=6 (it is 6) ⇒ right if x=8 ⇒ y=12-(2×8)=12-16=-4 (so it is not -1) ⇒ wrong if x=0 ⇒ y=12-(2×0)=12-0=12 (so it is not 6) ⇒ wrong  

44 PTS HELP ME PLEASE I NEED THIS ASAP ITS 6 PM IVE BEEN WORKING SINCE 11 AM Which properties were used to simplify the following expression? Select all that apply.

4 + 3(9 + 2)

4 + (3 × 9) + (3 × 2)

4 + 27 + 6

4 + 6 + 27

10 + 27

37

associative property of addition
identity property of addition
identity property of multiplication
associative property of multiplication
commutative property of multiplication
commutative property of addition
distributive property

44 PTS HELP ME PLEASE I NEED THIS ASAP ITS 6 PM IVE BEEN WORKING SINCE 11 AM Which properties were used

Answers

Answer:

Distributive and associative

Step-by-step explanation:

In step 2 there is distributive property

From:  4 + 3(9+2)

To: 4+ (3x9) + (3x2)

In step 4 there is associative property.

From 4 + 27 + 6

To 4 + 6 + 27

pleaseeee HELPPP THX

pleaseeee HELPPP THX

Answers

the order would go -1.75, -3/4, 1/4, 0.75, lastly 1 1/2.
Order from left to right: -1.75, -3/4, 1/4, 0.75, -1.50

5x+9=2x+7+3x-15

Please give step by step explanation.

Answers

Answer:

x=12

Step-by-step explanation:

Simplifying 5x + -9 = 3x + 15 Reorder the terms: -9 + 5x = 3x + 15 Reorder the terms: -9 + 5x = 15 + 3x Solving -9 + 5x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 5x + -3x = 15 + 3x + -3x Combine like terms: 5x + -3x = 2x -9 + 2x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 2x = 15 + 0 -9 + 2x = 15 Add '9' to each side of the equation. -9 + 9 + 2x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 15 + 9 2x = 15 + 9 Combine like terms: 15 + 9 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12

Your final answer should be is X=12
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