Heng was trying to factor 10x^2+5x. She found that the greatest common factor of these terms was 5x5x5, x and made an area model:

Answers

Answer 1

Answer:

[tex]Width = 5x + 1[/tex]

Step-by-step explanation:

Given

[tex]Area = 10x^2 + 5x[/tex]

[tex]Length = 5x[/tex]

Required (Missing)

Determine the Width?

Area is calculated as:

[tex]Area = Length * Width[/tex]

Substitute values for Area and Length

[tex]10x^2 + 5x = 5x * Width[/tex]

Factorize the right hand side

[tex]5x(5x + 1) = 5x * Width[/tex]

Divide both sides by 5x

[tex]5x + 1 = Width[/tex]

Hence, the width of the model is 5x + 1


Related Questions

If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?

Answers

Answer

2 apples per $1

Step-by-step explanation:

because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar

$Ok so there is $6 per apple

Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12.

Answers

Answer:

x-intercept= 6

y-intercept= 4

Step-by-step explanation:

Solve for x first then solve for y.

Answer: y= -2/3x+4

The X-Intercept is -2/3

The Y- Intercept is 4

Hope this helps!! Have a wonder day everyone!! (:

Step-by-step explanation:

Step one write out the equation 2x+3y=12

Then move the variable to the right hand side and change the sign. 3y=12-2x

Then divide both sides of the equation by 3. You get y=4-2/3x

Then: Use the Commentative Property to reorder the terms. y= -2/3x+4

How do you do this for expanding and factoring expressions 8(4x-12)

Answers

Answer:

32x - 96

Step-by-step explanation:

Apply the distributed property:

8 × 4x = 32x8 × 12 = 96Re-write the expression: 32x - 96

I hope this helps!

Given:x-8>-3

Chose the solution set.
1.{x|x€R,x>-5}
2.{x|x€R,x>14}
3.{x|x€R,x>5}
4.{x|x€R,x>-9}

Answers

Step-by-step explanation:

x - 8 > -3

x > -3 + 8 (add 8 to both sides)

x > 5

Hence 3.{x|x€R,x>5} is correct.

using the elimination method to solve the system of equations.

3x+6y =36
3x-6y=0


a. 3,6
b. 6,-3
c. 6,3
d. 3,-6

Answers

Answer:

c. (6, 3)

Step-by-step explanation:

subtract

3x + 6y = 36

3x - 6y =  0

12y = 36, y = 3

3x + 6(3) = 36

3x + 18 = 36

3x = 18, x = 6

x = 6, y = 3

Answer:

the answer is b good luck

Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?

Answers

Answer:

Step-by-step explanation:

Apples- 2

Oranges-4

Bananas- 3

In each basket

A.) what is the domain?
B.) what is the range?
C.) is this relation a function?

Answers

Answer:

The Domain is the set of all points over which a function is defined.

The range is the set of values the function takes on as output.

8 more than a third of a number

Answers

Answer:

8 + 1/3n

Step-by-step explanation:

Factor with the distributive property (no variables)
90+27=

Answers

Your answer is 9(10 + 3)

Tell me if you need an explanation

What is the distance between point A and point B? Round to nearest tenth.

Answers

Answer:

[tex]d \approx 12.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]:                    [tex]d = \sqrt{(8+4)^2+(6-2)^2}[/tex]Add/Subtract:                       [tex]d = \sqrt{(12)^2+(4)^2}[/tex]Exponents:                           [tex]d = \sqrt{144+16}[/tex]Add:                                      [tex]d = \sqrt{160}[/tex]Simplify:                                [tex]d = 4\sqrt{10}[/tex]Evaluate:                              [tex]d = 12.6491[/tex]Round:                                 [tex]d \approx 12.6[/tex]

Graph the solution of the inequality on a number line.
2(x – 3) – 5x

Answers

the correct answer is D

The total charge for a taxi ride includes an initial fee of $2.75 plus $2.25 for every 1/2
mile traveled. The ride cost him $56.75. How many miles did he travel in the taxi?

Answers

Answer:

12 miles

Step-by-step explanation

56.75 - 2.75 = 54

1/2(54/2.25)

Helppppppppppppppppppppppppppppppppppppppp Pleaseeeeeeeeeeeeeeeee

Answers

Answer:

2. -1/3x > 12

3. 5+x > 7

4.10-x < 30

5. 2+5x ≤ 3

6.6-2x ≥ 17

8.$400+$49g=$750

at most the enthusiast can buy 7 games along with the player

Step-by-step explanation:

The rainfall for the month of July was above average. The water level in a small lake measured 834 feet at the beginning of the month. Due to all the rainfall, the water level rose 35 of a foot per week for the first three weeks, then the lake dropped 12 foot in the last week of the month.
What was the water level of the lake at the end of July?
A
979ft.

B
101120ft.

C
10120ft.

D
71120ft.

Answers

Answer:

927 ft so A

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 7/9

What is 23/24 as a decimal rounded to the nearest hundredth?

Answers

Answer:

95.80

Step-by-step explanation:

The number 23/24 rounded to the nearest hundredth is 0.96

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Given data ,

Let the number be A = 23/24

So , in order to round the number

First we need to find the decimal for of the number A

And ,

A = 23/24

A = 0.9583

And , rounding the number to its nearest hundredth is rounding the number to two decimal places

So ,

A = 0.9583

A = 0.96

Hence , The number 23/24 rounded to the nearest hundredth is 0.96

To learn more about rounding of numbers click :

https://brainly.com/question/4896544

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The vertices of the triangle in the diagram below are A(7,9), B(3,3), and C(11,3).


What are the coordinates of the centroid of triangle ABC?

Please Answer with work shown! I know that the answer is (7,5) But can some one show the work for it?
If you answer it and show the work for me then I will give you the brainiest question reward!
Please Help!

Answers

Answer:

(7 , 5)

Step-by-step explanation:

Add all the x-axis then divide by 3

7 + 3 + 11 = 21

21/3 = 7

Add all the y-axis then divide by 3

9 + 3 + 3 = 15

15/3 = 5

So answer will be (7,5)

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum o

The coordinates of the centroid is (7, 5).

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The vertices of the triangle in the diagram below are:

A(7,9), B(3,3), and C(11,3).

Now,

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum of the y-coordinates of the vertices ÷ 3

Now,

x = 7 + 3 + 11 / 3 = 21/3 = 7

y = 9 + 3 + 3 / 3 = 15/3 = 5

Now,

The coordinates of the centroid is (7, 5).

Learn more about triangles here:

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In a basketball game, the home team was down by 9 points at the end of the game. They only scored 6 points for every 7 points the visiting team scored. What was the final score of the game? Type both answers with a comma inbetween. Show your work below.

Answers

The final score of the basketball game is  (54, 63).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, They only scored 6 points for every 7 points the visiting team scored

and they differ by a total of 9 points.

Therefore, The final score would be 6×9, 7×9.

= (54, 63).

If we take the difference between 63 and 54 it would be 9.

learn more about numerical expressions here :

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Nia put $750 in her savings account the simple interest rate is 3% of the account if nia doesnt withdraw or deposit.how much would nia´s acoount be at in 2.5 years

Answers

Answer:750 divided by 3

Step-by-step explanation:

Helppppppppppp with 3 & 4!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3 is b

4 is also b

Step-by-step explanation:

Ahhff DF nfkemebebwjdbbdnsjwjxjdnddf

Answers

Answer:

0 is the surface of the sea

Step-by-step explanation:

Here, we want to know what zero represents

From the question, we are told that jumping 5 ft below the sea surface represents the depth

-5 ft is same as going 5 units below zero

So therefore, we can have zero representing the sea level

The zero in this case is the surface of the sea

Answer:

B. the surface of the sea

Step-by-step explanation:

have nice day

c + 1/4c
please help me i need this done now

Answers

Answer:

[tex]1\frac{1}{4} c[/tex]

Step-by-step explanation:

[tex]c+\frac{1}{4}c[/tex]

Rewrite the expression

[tex]= 1c+\frac{1}{4} c[/tex]

Add

[tex]= 1\frac{1}{4} c[/tex]

Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].

I hope this helps!

A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??

Answers

Answer:

15.00

Step-by-step explanati

the discount is 15% because you need to subtract it

Which points are on the graph of the equation −3 + 6 + 5 = −7 ? Select all that apply.

A.
(-3, 6)

B.
(-2, 0)

C.
(0, -2)

D.
(6, -3)

E.
(8, 2)

Answers

Answer:

i think is the A and D

i hope this hepl you

7 chocolate bars cost 19 dollars determine the cost per chocolate bar.

Answers

Answer: .368

Step-by-step explanation:

Answer:

$2.71

Step-by-step explanation:

to find the cost of each chocolate bar you must divide the total cost by the number of chocolate bars

19/7

= 2.714

≈ $2.71

How much of earth surface by land

Answers

Answer:

GOOD AFTERNOON

UR ANSWER IS ::

Step-by-step explanation:

2

510.1 milion km

196.9 million mi²
Mass: 5.972 × 10^24 kg
Distance from Sun: 92.96 million mi

This is a test my sister made to see how smart I am plz help.

Answers

Answer:

16.) second choice: (5,-6)

17.) third choice: (-10) (-8) (-5) (0) (1)

18.) fourth choice: (.18) (0.4) (1/4) (227)

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• -3 1/2

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of –5

Answers

Answer:

Positive 5.

Step-by-step explanation:

Opposite of negative 5 is positive 5.

The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.

Answer:positive 5

Step-by-step explanation:

The numbers 22 and 35 are relatively prime. TrueFalse

Answers

Answer: True

Step-by-step explanation:

Answer:

False They are coprime numbers

Step-by-step explanation:

I hope it helps ❤❤

Find the area of the smaller sector. Plzzzz help!!!!!!!!!

Answers

Answer:

78.151 (approximately)

Step-by-step explanation:

To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²

=140/360×π×8²

=7/18×3.41×64

=7/18×157/50×64

=7/9×157/50×32

=7/9×157/25×16

=17584/225

=78.151 (approximately)

I don’t understand so please HELPPPPPPPPPPPPPP

Answers

Answer:

C

Step-by-step explanation:

Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units  lol you get what im saying so the answer is C hope this HELPSS!!

By the way follow my insta. exotic. jaliyah if you need anymore help

C i believe the answer is C
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