Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.
please write the correct answer

Answers

Answer 1

Answer:

Tamara incorrectly factored the whole expression.

Step-by-step explanation:

Note that

•21x=3·7·x;

•56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.


Related Questions

The diagram shows rectangle rstu with two diagonals drawn. To find the value

Answers

a picture would be helpful

Answer:

Step-by-step explanation:

b

Helen goes into a shop.
She wants to buy 2 shirts and a pair of shorts,
Each shirt costs £24.50
The pair of shorts costs £18.90
Helen only has £70 to spend,
Does Helen have enough money to buy the 2 shirts and the pair of shorts?

Answers

Answer:

yes

Step-by-step explanation:

2*24.50=49 (two shirts)

18.90 (pair of shorts)

49+18.90=67.90

she can spend 70, means she can buy all of those and she still has 2.10  

please help i'm horrible at math ajdbvkdfjgvnfjglbdfg

Answers

Answer:

-29/3 i think

Step-by-step explanation:

Use elimination to solve each system of equations. Explain your steps in complete sentences. Use the textbox to type your paragraph(s).


x + y = 9

x - y = -3

SOMEONE PLS HELP ASAP!! I WILL GIVE YOU BRAINLIEST! PLS USE COMPLETE SENTENCES AND YOUR OWN WORDS!

Answers

x + y = 9

x - y = -3

so because +y-y= 0 , you can cut it.
x+x=2x 9+(-3)=6
2x=6
x= 3 so you substitute x’s value in any one eq to get y
x+y=9
3+y=9
y=9-3
y=6

True or False: 3D figures have volume.

Answers

Answer:

True

Step-by-step explanation:

what is x + 5?? need help

Answers

Answer:

you have to solve for x

Step-by-step explanation:

watch a video

I dont understand how to do this, looking for someone who can help

Answers

the answer should be a segment. have a great day :)))

Jonny and Faheem share some money in the ratio 3:5. Faheem gets £12 more than Jonny. How much does Jonny get?

Answers

Given:

Jonny and Faheem share some money in the ratio 3:5.

Faheem gets £12 more than Jonny.

To find:

The amount that Jonny gets.

Solution:

Jonny and Faheem share some money in the ratio 3:5.

Let Jonny and Faheem get 3x and 5x.

Different between their amounts is

[tex]5x-3x=2x[/tex]

Faheem gets £12 more than Jonny. It means the difference between their amounts is equal to £12.

[tex]2x=12[/tex]

[tex]x=\dfrac{12}{2}[/tex]

[tex]x=6[/tex]

The amount that Jonny gets is

[tex]3x=3(6)[/tex]

[tex]3x=18[/tex]

Therefore, Jonny gets £18.

Which order pair (x,y) satisfies the system of equations shown below?

Answers

Answer:

C. (2,-2)

Step-by-step explanation:

can someone help I will give the brainliest Plz help u will get 50 points

Answers

Answer:

B.) 6

2.) 70

3.) 56

Step-by-step explanation:

B.) 2(6) - 6

= 12 - 6

=6

2.) 7(2(3)+4)

=7(6+4)

=42+28

=70

3.) 10(3) + 4(3) + 14

= 30 + 12 + 14

= 42+14

=56

Have a wonderful day

:)

Which expression has a solution of 6, if r=4

Answers

r+2

Explanation:

because if we add 2 to r which is equal to 4 we can get 6

R+2 hope you have a good day and pass

In a fruit punch you mix 150 ml of lemonade with 250 ml of fruit juice. Write the ratio of the volume of lemonade to the volume of fruit juice. Give your ratio in its simplest form.

Answers

Answer:the ratio of the volume of lemonade to the volume of fruit juice in simplest form = 3:5

Step-by-step explanation:

Volume of lemonade in the mixture = 150ml

Volume of fruit juice in the mixture = 250ml

Ratio of the volume of lemonade to the volume of fruit juice= 150ml: 250ml

and reducing to the simplest form , we have

150:250

dividing both by 10 gives

15:25

dividing both by 5 gives

3:5

Therefore  the ratio of the volume of lemonade to the volume of fruit juice in simplest form = 3:5

Someone help and please make sure the answer is right :)

Answers

The answer would be -6

Answer:

B

Step-by-step explanation:

their alternate exterior angles so they are equal

9x + 12 = 120

9x = 108

x = 12

can someone answer my question????? pls this is already missing i’ll give brainlist and points don’t ignore

Answers

Reminder: y = mx + b, to isolate y, you would need to subtract mx value, and what you do to one side, you do to all. If there’s a coefficient in front of your y value, you then divide the equation by that coefficient. Once y is isolated, m and b values are easier to find.

Answer:

1) y = -2x + 1 // m = -2, b = 1

2) y = 5/8x - 1 // m = 5/8, b = -1

3) y = 7/8x - 3/4 // m = 7/8, b = -3/4

4) y = 3/4x + 4 // m = 3/4, b = 4

Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volume of the card box?

Answers

The question is incomplete :

The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4

Answer:

192 unit³

Step-by-step explanation:

The volume of the card box :

Recall the volume of box formula :

V = length * width * height

Volume = 8 * 6 * 4

Volume = 192 unit³

This is the procedure for any given dimension of the card deck.

Answer:

5 5/6 cu in

Step-by-step explanation:

The sum of the ages of two brothers is 37.7 years. The older brother is
7.9 years older than the younger brother. The line graphed on the
coordinate grid represents the first of two equations in a system of linear
equations that can be used to find their ages.


If the second equation is x+y=37.7 , which value is closest to x, the age of the older brother in years?


a. 8
b. 15
c. 23
d. 30

Answers

Answer: 15

Step-by-step explanation: because 7.5 is in the middle of 5 and 10 and it goes straight down to 15

50 POINTS !!!!!!!!
Which terms can be combined in the expression below? Select three options.

StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b

Answers

Answer:

-2b,  b/12,  -0.9b

Step-by-step explanation:

I understand this is late, but hopefully, it'll help someone who needs it, have a good day

Answer:

A Is your answer.

Step-by-step explanation:

24-79/12-2

CAN SOMEONE HELP ME WITH THIS ONE !

Answers

Answer:

5/8 = 0.625

Step-by-step explanation:

I have attached a picture of me solving the steps. Hope this helps, thank you !!

Which table has a constant of proportionality between y and x of 4?

Answers

Answer:

A

Step-by-step explanation:

because if the COP is 4, table A is the only one that has 4

The answer would be A

(8y+x+12)=
what is the answer

Answers

8y + x + 12

other then that, you cannot further simplify this, nor can you factor because the greatest common factor for all of them is just 1

In which diagram do <1 and <2 appear to be vertical angles?

Answers

In the second diagram!!

Anybody can help me for BRAINLIST ? 6th grade math .. plz help

Answers

Answer:

B)

Step-by-step explanation:

If this answer helped you then please consider making this brainliest and thank this response :)

Answer:

I think.

it is c I am not really sure

Solve for x
14x + 2 = 9x - 3

Answers

-9x from both sides
5x+2=-3
-2 from both sides
5x=-5
x= -1

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

1) Subtract 9x from both sides.

[tex]14x+2-9x=-3[/tex]

2)  Simplify  14x+2-9x to 5x+2.

[tex]5x+2=-3[/tex]

3) Subtract 2 from both sides.

[tex]5x=-3-2[/tex]

4) Simplify  -3-2 to  -5.

[tex]5x=-5[/tex]

5) Divide both sides by 5.

[tex]x=-1[/tex]

Therefor, the answer is x = -1

Quadratic Equations and Functions - Part 2
Graphing Quadratics Using a Table
Independent Practice
1. A model rocket was launched from a podium 5 meters above ground at a
initial velocity of 98 m/s. The function that models height (in meters) with
respect to time (in seconds) is h(t) = 5 + 98t – 4.9t2.
Part A: Complete the table below.
Time (seconds)
0
5
10
15
20
Elevation (feet)
5

Answers

Answer:

See below

Step-by-step explanation:

Given function

h(t) = 5 + 98t – 4.9t²Part A

Filling in the table using the function, substitute t for each line:

time   |    elevation

0        |   5              

5        |   372.5      

10       |   495            

15       |   372.5      

20      |   5            

Part B

The graph is attached

When the ball hits the ground, the height is 0. Substitute 0 for

h

.

h

=

16

t

2

10

t

+

200

0

=

16

t

2

10

t

+

200

16

t

2

10

t

+

200

=

0

This equation is difficult to solve by factoring or by completing the square, so solve it by applying the Quadratic Formula,

x

=

b

±

b

2

4

a

c

2

a

. In this case, the variable is

t

rather than

x

.

a

=

16

,

b

=

10

, and

c

=

200

.

t

=

(

10

)

±

(

10

)

2

4

(

16

)

(

200

)

2

(

16

)

Simplify. Be very careful with the signs.

t

=

10

±

100

+

12800

32

=

10

±

12900

32

Use a calculator to find both roots.

t

is approximately

3.86

or

3.24

.

Consider the roots logically. One solution,

3.86

, cannot be the time because it is a negative number. The other solution,

3.24

seconds, must be when the ball hits the ground.

Answer

The ball hits the ground approximately

3.24

seconds after being thrown.

Three students have already enrolled for a creative writing class. The teacher will cancel the class if there are fewer than 10 students enrolled. Write three values for numbers of students needed to sign up so that the the creative writing class can be held

Answers

Answer:

7, 10 and 15

Step-by-step explanation:

Given

[tex]S_1= 3[/tex]  --- Students already enrolled

[tex]Total = 10\ (less)[/tex]

Required

Determine the additional number of students needed for the teacher not to cancel the class

First, we need to calculate the number of students for the teacher to cancel the class.

Represent this with x.

So, we have:

[tex]S_1 + x < Total[/tex]

Make x the subject

[tex]x < Total - S_1[/tex]

Substitute values for Total and S1

[tex]x < 10 - 3[/tex]

[tex]x < 7[/tex]

This means that if less than 7 additional students come to the class, the teacher will cancel the class.

So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)

In AABC, AB = AC and measure of ZABC is 41°. The measure of ZBAC is
degrees.

Answers

Answer:

Cant see the pic

Step-by-step explanation:

Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-8,4) and (-4, -8).

Answers

Answer:

y = 1/3x

Step-by-step explanation:

Plz hurry

What is the measure of each angle?


40 points!!!!

Answers

Answer:

you didnt add a picture so im taking the points <3

Step-by-step explanation:

I would help if you provided more information

You didn’t add a picture.

!!!!!!!WILL MAKE BRIANLIEST!!!! 2/3 x 1/5

Answers

Answer:

.0666

Step-by-step explanation:

Answer:

the answer is 2/15

Step-by-step explanation:

multiply the denominators by each other to get 15

so in 2/3 multiply 3 by 5 and in 1/5 multiply 5 by 3. 2•1 is 2 so you will get 2/15

During a​ sale, a dress is marked down from a selling price of ​$ to a sale price of ​$. What is the percent​ markdown?

Answers

Complete question :

35%

Answer:

Step-by-step explanation:

Selling price = $68

Markdown price = $44.20

Percentage markdown :

Markdown / selling price * 100%

((68 - 44.20) / 68) * 100%

(23.8 / 68) * 100%

0.35 * 100%

= 35%

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