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

Adopt me I’m trading dragon and fly ride bee if anyone has good offers

Answers

Answer:

Adopt me is good.....

But I don't have good offers

i'll offer for the dragon.

You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st. What will your rent be at the end of this year?

Answers

Your rent will be $894.63 if u raise it that much

Answer:

$892.50

Step-by-step explanation:

I need help with this question! Will mark brainliest :)

Answers

Answer:

y=3x-2

Step-by-step explanation:

you find the 3 (the slope) by seeing how much the y value grows

the -2 is the value of the y-intercept (more clear on a graph) but it's when the point is (0,__) so you subtract 3 from 1.

Answer:

The answer is the third option, y=3x-2

Explanation:

I'm horrible at explaining, but basically the y-axis is increasing by 3's so it's not negative, and to find the y-axis, we simply put a 0 ontop of the 1 in the x-axis, and across that we get -2 because the y-axis is increasing by 3's.

So sorry for my messy explanation, but I hope it helps :)

What is the equation of the line that passes through the point (8,-8) and has a
slope of – 12

Answers

Answer:

y + 8 = -12(x - 8)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (8, -8)

Slope m = -12

Step 2: Write Function

Substitute variables into general form.

y + 8 = -12(x - 8)

THANK YOU SO MUCH FOR THE PERSON ANSWERING THESE

Answers

Step-by-step explanation:

18. SAS

side- angle- side

19. SSS

three proportional sides

20.The mid-segment SR of triangle, which joins the midpoints of two sides of triangle, is parallel to the third side of the triangle and half the length of that third side of the triangle.

So s the sides of triangle SFR and GFH are proportional.

21.AAA

two pairs of corresponding angles are congruent and angle B is common.

22.they are not similar because pairs of corresponding angles are not congruent.

96 is not equal to 97 also even not proportional.

23.

x=10

explanation:sides are proportional

26/13=2

so

22/2=11 and 11=2x-9 2x=11+9=20 x=20/2=10

24.

x=11

Because it is given that each pair is similar then we have proportional sides but FM=MG=20 so

LM=MK

50=4x+6

4x=44

x=11

On average, Cody runs 5 miles in 48
minutes. How fast should he plan to
run a 10 miles race if he maintains this
pace?

Answers

Answer:

6.25 Miles per hour speed

Ashley just lit a new candle and then let it burn all the way down to nothing. Let LL represent the length of the candle remaining unburned, in inches, tt hours after candle was lit. A graph of LL is shown below. Write an equation for LL then state the slope of the graph and determine its interpretation in the context of the problem.OnLy answer, answers plz

Answers

i said he wanted a new one punch to bed and i was doing a good rest in the day but i was just watching the movies he said vato is doing well and i said that you are doing a little better than what he was saying but he’s doing well and he’s not doing anything with me anymore he said vato was going on the phone and i didn’t know what about doing that but he’s doing well and he’s not doing anything but he just said that he’s not gonna do that he’s not gonna get him to go pick him out but he just said he was going on the bus he said vato is doing well and he was just saying he didn’t know if you got a good picture or orange or green or orange brown but i just said he wanted to go to sleep at like a week and then i went back on in the bed so he was like a real boy he said vato is doing well and he was like a real boy boy and he’s like oh my gosh i don’t got nobody to play with you and you

The linear equation that represents the length of the candle will be L = - t + 7. And the slope will be - 1 inch per hour.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Ashley just lit a new candle and then let it burn all the way down to nothing.

Let L represent the length of the candle remaining unburned, in inches, t hours after the candle was lit.

The slope is calculated as,

m = (0 - 7) / (7 - 0)

m = - 1 inch per hour

Then the linear equation is given as,

L = - t + 7

The linear equation that represents the length of the candle will be L = - t + 7. And the slope will be - 1 inch per hour.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d​

Answers

Answer:

We have established the following sequence

6, 12, 18,...

The given is the Arithmetic sequence with the nth term

[tex]a_n=6n[/tex]

d = 6 is a common difference.

Step-by-step explanation:

Given the formula

Sₙ = 3n² + 3n

Put n = 1 to determine the sum of the first term

S₁ = 3(1)² + 3(1)

S₁ = 3 + 3

S₁ = 6

As the sum of the first term includes the only first term, so

a₁ = 6

Put n = 2 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₂ = 3n² + 3n

S₂ = 3(2)² + 3(2)

S₂ = 12 + 6

S₂ = 18

as

S₂ = a₁ + a₂

substituting S₂ = 18, a₁ = 6

18 = 6 + a₂

12 = a₂

so

a₂ = 12

Put n = 3 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₃ = 3(3)² + 3(3)

S₃ = 27 + 9

S₃ =36

as

S₃ = a₁ + a₂ + a₃

substitutingS₃ =36, a₁ = 6, a₂ = 12

36 = 6+12+a₃

a₃ = 36-6-12

a₃ = 18

Thus,

a₁ = 6

a₂ = 12

a₃ = 18

Therefore, the sequence becomes

a₁, a₂, a₃,...

6, 12, 18,...

Let us check the common difference 'd' between the adjacent terms

d = 12 - 6 = 6

d = 18 - 12 = 6

As the common difference 'd' between adjacent terms is the same, therefore the sequence is Arithmetic.

Thus,

d = 6

Furthermore, the nth term of the Arithmetic sequence can be defined as

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting d = 6 and a₁ = 6

[tex]a_n=6\left(n-1\right)+6[/tex]

[tex]a_n=6n[/tex]

Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?

Answers

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.

8 minutes because 48/3 is 16
so 128/16 is 8
and 128/48 is 2.6
3x2.6 is 8

Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.

Answers

Answer: The probability is  32/81, or  0.395 in decimal form

Step-by-step explanation:

Each question has 3 answers.

one of the answers is correct, and 2 are incorrect.

Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:

p = 1/3.

Then the probability of answering wrong is:

q = 1 - 1/3 = 2/3.

Now, we want to find the probability of answering exactly one question correctly.

Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.

then we have the probability 1/3 one time, and the probability 2/3 3 times.

And as we know, the joint probability will be equal to the product of the individual probabilities, this is:

P = (1/3)*(2/3)*(2/3)*(2/3).

But this is for the case where only the first one is answered correctly, we also have the cases where:

the 2nd is the only one answered correctly

the 3rd is the only one answered correctly

the 4th is the only one answered correctly.

Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:

P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395

I need help ASAP please

Answers

Answer:

g

Step-by-step explanation:

BBBBBBBVVVVVBBBBBBBBBBVV

Answers

Answer:

A. 8(4+2)

Step-by-step explanation:

have a nice day

p + 0.4 = −6 Solve for p.

Answers

Answer:

q=-6.4

Step-by-step explanation:

If you need proof or don't understand I can edit it just tell me.

Write equivalent fractions for 2/3 and 3/5 using 15 as the common denominator.

Answers

The denominators of two or more fractions must have a common factor, and the calculation can be defined as follows:

Common denominator:

The common denominator should be determined if the denominators are different. Creating a commonality that is the product of the two different denominators is by far the most straightforward means of achieving this. To use it, divide each fraction's numerators by the opposing denominator.

              [tex]\to[/tex] [tex]\frac{2}{3} - \frac{3}{5}\\\\[/tex]

              [tex]\to[/tex] [tex]\frac{10-9}{15}\\\\[/tex]

              [tex]\to[/tex] [tex]\frac{10}{15} - \frac{9}{15}\\\\[/tex]

So, the common denominator value by using the 15 is equal to

 [tex]\to \frac{2}{3} : \frac{10}{15} : \frac{3}{5}: \frac{9}{15}[/tex]

Find out more about the common denominator here:

brainly.com/question/896263

60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?

Answers

Answer:

16:60 = 4/15

Step-by-step explanation:

Brian agrees to watch his neighbor’s dogs for 7 days. His neighbor provides a 128-ounce bag of dog food. Buster eats 20.5 ounces in 2 days and Roxy eats 22.5 ounces in 3 days. Does Brian have enough food to feed the dogs all 7 days? Explain.

Answers

Answer:

Yes, he has exactly the right amount

Step-by-step explanation:

Buster- 20. 5 = 2 days  20.5+20.5+20.5+10.25= 71.75 for 7 days

Roxy- 22.5= 3 days 22.5+22.5+11.25=56.25 for 7 days

71.75+56.25= 128oz

Brian will have exactly enough food for 7 days

10(y+3)-4y please help​

Answers

Answer:6y+30

Step-by-step explanation:

simplify the expression :)<3

Answer:

6y + 30

Explanation:

10(y + 3) - 4y

Expand 10(y + 3): 10y + 30

10y + 30 - 4y

Simplify

= 6y + 30

- PNW

Solve the following inequality.
-3.55g 5-28.4
Which graph shows the correct solution?
3 4
5 6
7
8
9 10 11 12 13
O
3
4 5
6
7
8
9 10 11 12 13
0
3 4
5 6
7
9 10 11 12 13
3 4 5 6
7 8
9 10 11 12 13

Answers

The graph that shows the solutions to the inequality is the last graph.

How to solve the given inequality?

Here we have the inequality:

-3.55g ≤ -28.4

To solve this, we need to isolate g, we can divide both sides by -3.55

g ≤ -28.4/-3.55 = 8

g ≤ 8

Then we must have a black dot at x = 8, and we shade the region to the left of it, meaning that the correct graph is the last one.

If you want to learn more about inequalities:

https://brainly.com/question/18881247

#SPJ5

Can someone please help me and show step by step plz so I understand it

Answers

Answer:

x=7

Step-by-step explanation:

This problem uses vertical angles! I'm sure you know this but just in case I will explain. Whenever there are two angles that are across from each other in a junction of two straight lines, they are perfectly equal! In this problem, the angles 6x-7 and 4x+7 are the same angle, so those equations have to have the same answer. In order to solve it, you need to write the equations like this:

6x-7=4x+7

From there you can solve for x. I will write my process here:

2x-7=7

2x=14

x=7

Just writing those vertical angle equations as equalities of each other should give you the answers you are looking for!

Introductory Algebra: 20% converted into a decimal, wouldn't that be 0.2?

Answers

Answer: Yes.

Step-by-step explanation: 20% of 100 would translate into .2 out of 1

Answer:

Yes, coz 20%=20/100

Ans solving 2/100 will give you 0.2

So ya, that's right!

A man has 20.24$. He bought a thing for 4.49$. He also bought another thing for 3.99$. Will the money be enough to buy another item that costs 9.99$. If yes, how much money will remain?

Answers

Answer:

Yes: $1.77

Step-by-step explanation:

20.24 - 4.49 = 15.75

15.75 - 3.99 = 11.76

Yes, there will be enough for the 9.99 thing

11.76 - 9.99 = 1.77

The man will have 1.77 at the end.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20% of the outstanding balance is charged the amount payable is paid in 12 monthly instalements.Calculate the freezer

Answers

Answer: See explanation

Step-by-step explanation:

a. The deposit

= 15% × $2975

= 15/100 × $2975

= 0.15 × $2975

= $446.25

b. The hire purchase price

Outstanding balance = $2975 - $446.25 = $2528.75

20% of outstanding balance

= 20% × $2528.75

= 0.2 × $2528.75

= $505.75

Hire purchase price

= $2975 + $505.75

= $3480.75

c. The difference the hire purchase price and cash price

= $3480.75 - $2975

= $505.75

d. The difference as a percentage of the cash price.

= ($505.75 / $2975) × 100

= 0.17 × 100

= 17%

0.5 (n-4) -3 = 3 - (2n+3)

Answers

Answer:

n = 2

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n -3

0.5n + 2n = 2 + 3 + 3 -3

2.5n = 5

n = 2

Answer:

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n - 3

Solving like terms

0.5n - 5 = - 2n

-5 = - 2n - 0.5n

-5 = - 2.5n

-5/-2.5 = n

2 = n

#5 Determine the x and y intercept of the following
equation.
2x + y = 6

Answers

Answer:

Step-by-step explanation:

y= -2x+6

Y intercept is 6

X intercept is 3

I need the answers to these questions ASAP, thank you in advance!

Answers

Answer:

1. sliver's gym

2. sliver's gym

3. fitness planet

4. fitness:345 to sliver: 185

Step-by-step explanation:

1. with zero months

fitness planet cost is C = 22(0)+15= 15

sliver's gym cost is C = 15(0)+5= 5

2. sliver's gym because the rate of change is slower than fitness, resulting in you paying less for monthly memberships

3. Fitness planet because the rate of change is higher meaning that you will pay more for the monthly memberships.

4. Fitness planet C = 22(12)+15 = 345

Sliver's gym C = 15(12)+15 = 185

What is the value of y in the equation 2(2y − 12) = 0? (5 points) a 4 b 6 c 7 d 8

Answers

Answer:

A-6

Step-by-step explanation:

Answer:

ans 6

Step-by-step explanation:

by expanding the equation,

4y-24=0

4y=24

y=6

HELPP ILL GIVE BRAINLIEST IF ITS RIGHT HELP HELP

Answers

It’s F can I Get a Brainlist plz it will help answer ppl answers

Answer:

A,C,B,E,G,F

Step-by-step explanation:

n mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

also

The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.

The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75. How many pies were sold? How many cakes were sold?

Answers

Answer:

15 pies sold and 10 cakes sold.

Step-by-step explanation:

Let p be the number of pies sold.  So, the number of cakes sold is 25-p.

5.99p + 9.99(25-p) = 189.75

5.99p + 249.75 - 9.99p = 189.75

4p = 60

p = 15

25 - p = 10

!!! Answer fasttttt plzzz!!!!!!! Will give 20 points and Brainlyest!!!! Which division problem does the number line below best illustrate?

Answers

Answer:

10/2

Step-by-step explanation:

first 10/2=5

you divide 10 into 2 until you get 5 of such groups

Daisy is calculating her assets. She has $10,000 in gold and silver jewelry, and $50,000 in her savings. She has paid $20,000 of her $150,000 house. She has also pain $10,000 of the $45,000 car she bought last year.
$80,000
$90,000
$285,000
$255,000

Answers

Answer:

10,000

Step-by-step explanation:

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