Sophia buys a supply of toilet paper from costco that comes in a pack 36. She immediately gives 4 rolls of toilet paper to her sister (who shared with her last month). She uses 2 rolls of toilet paper a per month.

(a) Write an expression that represents the situation

(b) Determine how many rolls of toilet paper she will have left after 1 year

EXPLAIN AND SHOW YOUR WORK

Answers

Answer 1

I believe she will have 8 rolls of toilet paper left after one year.

She started with 36, then gave away 4, so then she would have 32 left for herself, then she used 2 every month so if you deduct 2 rolls every month for 12 months she would use 24 in one year. So 32-24 is 8.


Related Questions

Hello, I was just doing some practicing for adding integers. I did some problems on my own and I was wondering if I am on the right track.

Answers

Answer:

Yes, It looks great! I would suggest moving on to a littler harder problems like dividing integers! You can also look up integers practice and they will give you problems to solvle! If you dont know how to do it yet then you can simply skip but, You are doing wonderful!!! Good job and Good luck!

Step-by-step explanation:

PLEASE HELP ASAP
are f(x)=4/x-2-1 and g(x)=3/x+2-2 inverses of each other?​

Answers

Answer:

To find the inverse of:

[tex]f (x)=\dfrac{4}{x-2}-1[/tex]

Set the function to y:

[tex]\implies y=\dfrac{4}{x-2}-1[/tex]

Rearrange to make x the subject:

[tex]\implies y+1=\dfrac{4}{x-2}[/tex]

[tex]\implies (y+1)(x-2)=4[/tex]

[tex]\implies xy-2y+x-2=4[/tex]

[tex]\implies xy+x=2y+6[/tex]

[tex]\implies x(y+1)=2y+6[/tex]

[tex]\implies x=\dfrac{2y+6}{y+1}[/tex]

Swap x and y:

[tex]\implies y=\dfrac{2x+6}{x+1}[/tex]

Change y to the inverse of the function sign:

[tex]\implies f[/tex][tex]\:^{-1}(x)=\dfrac{2x+6}{x+1}[/tex]

Rewrite g(x) as a fraction:

[tex]g(x)=\dfrac{3}{x+2}-2[/tex]

[tex]\implies g(x)=\dfrac{3}{x+2}-\dfrac{2(x+2)}{x+2}[/tex]

[tex]\implies g(x)=\dfrac{3-2(x+2)}{x+2}[/tex]

[tex]\implies g(x)=\dfrac{3-2x-4}{x+2}[/tex]

[tex]\implies g(x)=-\dfrac{2x+1}{x+2}[/tex]

Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other

a
45°
I’m very confused on this please help me:)

Answers

Answer:

45 degrees

Step-by-step explanation:

Since this angle is a right angle (1/4 of a full circle, or 360 degrees) its angle is 90. Since one part of it is 45 degrees. A=90-45=45

Each of the teams in a mixed volleyball league consists of 5 men and 5 women. there are 9 men and 10 women, including julia, who are trying out for a team. how many possible teams would include julia?

Answers

There are 9 men and 10 women, including Julia, who are trying out for a team. so there are 31,752 possible teams that would include Julia.

What is the combination?

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Each of the teams in a mixed volleyball league consists of 5 men and 5 women.

There are 9 men and 10 women, including Julia, who are trying out for a team.

The number of combinations for men

= (9 × 8 × 7 × 6 × 5)/(1 × 2 × 3 × 4 × 5)

=126.  

The number of combinations for women

= (10 × 9 × 8 × 7 × 6)/(1 × 2 × 3 × 4 × 5)

=252.

The number of the possible team would include Julia

(126 × 252) = 31,752.

Learn more about combinations;

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Factor x3 – 7x2 – 5x 35 by grouping. what is the resulting expression? (x2 – 7)(x – 5) (x2 – 7)(x 5) (x2 – 5)(x – 7) (x2 5)(x – 7)

Answers

The factored expression ofx^3 - 7x^2 -5x +35 is (x^2 - 5)(x - 7)

What is an expression?

An expression is an algebraic term used for a mathematical statement that includes addition subtraction multiplication and division

x^3 – 7x^2 – 5x + 35

factor the given equation

x^2(x – 7) – 5(x - 7)

Factor out x - 7

(x^2 - 5)(x - 7)

Therefore, the factored expression is (x^2 - 5)(x - 7)

To learn more about the factored expression visit:

https://brainly.com/question/723406

Answer:

c. (x^2 - 5)(x - 7)

Step-by-step explanation:

c. (x^2 - 5)(x - 7)

If f(x) = x3 – 2x2, which expression is equivalent to f(i)? –2 i –2 – i 2 i 2 – i

Answers

Answer:

Answer

d) 2 – i

Explanation

f(x) = x³ – 2x²

When x = i, we proceed as follows.

Note: i =

         i² =(√-1)(√-1) =  -1

         i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i

f(x) = x³ – 2x²

f(i) = i³ – 2i²

    = -i – 2(-1)

    = -i + 2

     = 2 – i

Step-by-step explanation:

His balls were 6 feet tall he wanted them to be 20. 4 tall how much does he need to grow {i-Ready} pls help

Answers

Answer:

14.4

Step-by-step explanation:

20.4-6 = 14.4

So his balls should grow 14.4 inches/feet/centimeters (whatever measuring tool you're asked to use)

Are you sure it's balls though

Answer:

20.4-6=14.4

since he wants his balls to grow you need to subtract how much he wants them tp grow by how tall the already are

Step-by-step explanation:

An object was launched from the ground. The graph below shows the path that the object took. Use the graph to answer questions 9-10. What is the domain and range?

Answers

Using the concepts of domain and range, it is found that for the function given in the graph:

The domain is [0, 4].The range is [0,64].

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input. In a graph, it is the set that contains the values of the horizontal axis.The range of a function is the set that contains all the values of the output. In a graph, it is the set that contains the values of the vertical axis.

The graph in this problem gives the height of a projectile after t seconds, hence:

The domain is [0, 4].The range is [0,64].

More can be learned about the domain and range of a function at https://brainly.com/question/10891721

oliver bought 7 bags of candy each bags cost 1.50 i need help step buy step

Answers

oliver bought 7 bags of candy each bags cost 1.50  

Answer-$10.50

Answer:

10.5

Step-by-step explanation:

you take 1.50 and times it by how many bags there are so 7

1.50×7=10.5

Use the formula a2 – b2 = (a b)(a – b) to factor completely. what are the factors of 36x8 – 49? (9x4 – 1)(4x2 49) (36x4 – 7)(x2 7) (6x4 – 7)(6x4 7) (6x8 – 7)(6x 7)

Answers

The factors of 36x^8 – 49 are  (6x^4-7)(6x^4+7).

We are given to factor the following polynomial completely:

36x^8 – 49.

We have to find the complete factor of the given polynomial.

Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor

What is the formula for (a^2-b^2)?

The formula for (a^2-b^2)= (a+b) (a-b).

Therefore applying the given formula we have,

[tex]F=(6x^4)^2-7^2[/tex]

[tex]F=(6x^4)^2-7^2\\F=((6x^4)-7)(6x^4)+7)[/tex]

Thus, the required factors are

[tex]F=((6x^4)-7)(6x^4)+7)[/tex]

Therefore,option (C) is correct.

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The factors of 36x^8 – 49 are  (6x^4-7)(6x^4+7).

We are given to factor the following polynomial completely:

36x^8 – 49.

We have to find the complete factor of the given polynomial.

Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor

What is the formula for (a^2-b^2)?

The formula for (a^2-b^2)= (a+b) (a-b).

Therefore applying the given formula we have,

b

Thus, the required factors are

b

What is the quotient? startfraction 2 m 4 over 8 endfraction divided by startfraction m 2 over 6 endfraction startfraction 24 over (m 2) squared endfraction startfraction (m 2) squared over 24 endfraction two-thirds three-halves

Answers

The quotient of the equation is 1.5.

What is the quotient?

The quotient is the number that is generated when we perform division operations on two numbers. Basically, it is the result of the division method.

The given equation is;

[tex]\rm \dfrac{2m+4}{8}\div \dfrac{m+2}{6}[/tex]

By fraction, a quotient is a number obtained by dividing the dividend by the divisor which is a simple division of numerator and denominator.

The solution of the equation is determined in the following steps given below.

[tex]=\rm \dfrac{2m+4}{8}\div \dfrac{m+2}{6}\\\\=\rm \dfrac{2m+4}{8}\times \dfrac{6}{m+2}\\\\=\rm \dfrac{2(m+2)}{8}\times \dfrac{6}{m+2}\\\\=\dfrac{2\times 6}{8}\\\\=\dfrac{12}{8}\\\\=1.5[/tex]

Hence, the quotient of the equation is 1.5.

Learn more about quotient here;

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Answer:

2/3

Step-by-step explanation:

What is the quotient?

StartFraction 2 m + 4 Over 8 EndFraction divided by StartFraction m + 2 Over 6 EndFraction

StartFraction 24 Over (m + 2) squared EndFraction

StartFraction (m + 2) squared Over 24 EndFraction

Two-thirds

Three-halves

There are 6 girls and 4 boys in the debate club at Columbus High School. The principal randomly selects one student from the debate club to represent the school in a competition. What is the probability that the selected student is a girl?

Answers

Answer:

60% chance a girl is picked

Step-by-step explanation:

There is 10 students in total. 6 out of 10 are girls. We can represent this in a fraction 6/10. Now we convert the fraction into a percentage 60%.

Store A sells 5 comics for $53.10. Store B sells 3 comics for $31.71. What is the difference in unit rate?​

Answers

Answer:

Vendor 1 had a higher unit rate.

Step-by-step explanation:

A company orders 27 boxed lunches from a deli for $194.40. Assume each boxed lunch is the same price. If C represents the total cost in dollars and cents of the lunch order for any number,b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context

Answers

Answer:

[tex]C = 7.2b[/tex]

Step-by-step explanation:

From the question we have that,

27 boxes --------------- $194.40

 b boxes --------------- C

Using the Rule of Three we have that,

[tex]27C = 194.40b[/tex]

Since we want a function that represents C in terms of b ( C = f(b) ) we can isolate C on the equation,

[tex]C = \frac{194.40}{27}b = 7.2b[/tex]

the volume of the right triangular prism shown below is 178.75 cubic feet. write and solve equation to find the value of x

Answers

Answer:

i think

Step-by-step explanation:

sorry i dont know the answer im just a children's

If 2^2x = 2^3, what is the value of x?


A 2/3

B 3/2

C 2

D 3

Answers

^2x=3
divide 2 on both sides
x= 3/2

The cost of a taxi ride is $2 per mile plus an initial charge of $2.75. Sean spent $26.75. Write an equation that represents the situation l. Solve to find the number of miles that Sean traveled.

Answers

2x+2.75

x= 12
24+2.75 = 26.75

PLEASE HELP!!

A) 78
B) 145
C) 113
D) 102

Answers

Answer:

D

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ BCD is an exterior angle of the triangle , then

∠ BCD = 35° + 67° = 102°

help me out pls
What does obliviousness mean?
• 1.
being interested in something
• 2. being unaware of something
( 3. being impressed by something
hm
• 4. being confused by something

Answers

Answer:

Obliviousness: Being unaware of something.

May someone please help I will give 30 points to who can answer fully, no download scam link either

Answers

We can write equations by rewriting the important phrases of information using variables. These variables make the equation look neater and it is faster to write a letter instead of constantly repeating 'cost of student tickets', for example.

The important pieces of information lies in the second last sentence of this question.

the tickets of your friend, her mom and her little sister costs a total of $23the tickets of 2 adults and 3 students costs a total of $39

Now, let's rewrite them into equations.

Given

x= cost of adult tickets

y= cost of student tickets

Assuming that your friend and her little sister are students, the two equations are:

x +2y= 23 -----(1)2x +3y= 39 -----(2)

To convert these equations into slope-intercept form, move all the terms that are not y to the right-hand side of the equation before dividing both sides by the coefficient of y. This is to ensure that the coefficient of y is 1 and that your equation is in y= mx +c, where m is the slope and c is the y-intercept.

From equation (1):

x +2y= 23

2y= -x +23

Divide both sides by 2:

[tex]\bf{y = - \frac{1}{2} x + \frac{23}{2} }[/tex]

From equation (2):

2x +3y= 39

3y= -2x +39

Divide both sides by 3:

[tex]\bf{y= - \frac{2}{3} x + 13}[/tex]

The solution to the system of equations is the point at which the two lines intercept on the graph. I have attached the graph as an image.

The solution is (9, 7).

The x coordinate is the cost of an adult ticket, while the y coordinate is the cost of a student ticket. This means that adult tickets cost $9 and student/ child tickets cost $7.

Find the function with x-intercepts (-3, 0) and (5, 0), which also goes through the point (1, 8).

Answers

Answer:

y= -0.5x² + 1x + 7.5

Step-by-step explanation:

I graphed the points in Desmos and saw they looked liked a parabola the point (1,8) is in between -3 and 5 for the x-coordinate.

I put the values in a table. and had desmos do a regression

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

Hope this helps

PLS HELP I USED ALL MY POINTS ON THIS I NEED HELP ASAP!!!!!!!!!! ʕ •ᴥ•ʔ

Answers

Answer:

(12, 6 )

Step-by-step explanation:

locate 12 cups of flour on the x- axis, then go vertically up to meet the line at (12, 6 )

that is 6 cups of sugar would be used with 12 cups of flour.

help me pls desperate please plspls

Answers

Area of semi circle = π r²/2

= π 20 × 20 / 2

= 200 π

= 628 cm² (approx)

Answer:

To the nearest whole number : 628

Step-by-step explanation:

The formula for the area of a circle is :

To work out the area you would first need to work out the radius. You can do this by dividing the diameter of 40 cm by 2, this gives you 20 cm. This is because the radius is half of the diameter.

Now that we have worked out the radius, the next step would be to work out the area. You can do this by multiplying pi by the radius of 20 squared, this gives you 1256.64.

The final step is to work out the area of this semi-circle. You can do this by dividing the area of 1256.64 by 2, this gives you 628.32 . This is because a semi-circle is half of a circle.

1) Divide 40 by 2.

2) Multiply pi by 20 squared.

3) Divide 1256.64 by 2.

What is the completely factored form of x4 + 8x2 – 9?
(x + 1)(x – 1)(x + 3)(x + 3)
(x + 1) (x minus 1) (x squared + 9)
(x2 – 1)(x + 3)(x – 3)
(x + 1)(x + 1)(x + 3)(x + 3)

Answers

Answer:

Hope that the payment picture will help you.Please mark me brilliant

Answer:

Its B

Step-by-step explanation: on edg 2022

10000 POINTS AND BRAINLIEST SHOW YOUR WORK!!!!!!!!!!

Answers

Answer:

A) = 23.0 miles

B) 14.4 Miles

Step-by-step explanation:A) [tex]distance\ AD= x+y.\\ First\ find\ the\ value\ of\ x\ and\ z,\ then\ use\ the\ value\\ \\ yz\ to\ get\ the\ value\ of\ y\\ cos60\textdegree\ =\frac{21}{hy}=\frac{x}{10}[/tex]

   [tex]sin60\textdegree\ =\frac{opp}{hyp}=\frac{z}{10}[/tex]

           [tex]z=10\times sin60\textdegree =10\times 0.8660=8.66\ miles[/tex]

                  [tex]use\ pythagores\ theorem\ to\ get\ the\ value\ of\ y.\ l,e[/tex]

                    [tex]y=\sqrt{{20}^2-z^2}=\sqrt{{20}^2-{8.66}^2}=\sqrt{325.0044}[/tex]

                                                                       [tex]=18.03\ miles[/tex]

    [tex]\therefore\ distance\ AD=5+18.03[/tex]

                               [tex]=23.03\\ 23.0\ miles[/tex]

B) [tex]Ansween\ 14.4\ Miles[/tex]

[tex]< ABN=\varphi=30\textdegree\ \{Beary\ 4A\ from\ B=360\textdegree\ -60\textdegree\ =300\textdegree\}[/tex]

                                           [tex]AB=y.[/tex]

             [tex]\cos{\theta=\frac{ads}{h}p}\\ cos\ G\begin{matrix}0\\0\\\end{matrix}=\frac{x}{25}[/tex]

                     [tex]x=25\times cos\ 60\textdegree[/tex]

                        [tex]=12.5\ mle[/tex]

             [tex]cos\ 30\textdegree=\frac{xe}{y}=\frac{12.5}{y}[/tex]

                    [tex]\because\ y=\frac{12.5}{cos\ 30\textdegree}[/tex]

                            [tex]=14.Fmm'_\mathcal{i}(es[/tex]

I hope this helps you

:)

           

If in total I have 166 students and 32 of them surf, what is their percentage?

Answers

To find the percentage, we have to divide the number of students that surf by the total amount of students, then convert it into a decimal and a percent.
32/166 = 16/83
Converting into a decimal, we get:
0.19, which is 19%. Hope this helps

Identify similar pentagons.

Answers

Answer:

P, R

Step-by-step explanation:

If you dilate P, you can find out that P can be the same as R.

If you could put wings on any species of animal, what animal would you choose?

Answers

Answer:

Humans

Explanation:

So I can have wings :)

Answer:

If I could put wings on any species of animal, I would choose a Unicorn because then the Unicorn can fly and look at all the enviroment.

Step-by-step explanation:

Find the degree you of this polynomial
-8x 4 squared

Answers

4, the largest exponent is the degree

What is the average rate of change for this quadratic function for the interval from x = 2 to x = 4? O A. -12 B. 12 C. -6 O D. 6​

Answers

D. 6.

We have been given graph of a function. We are asked to find the average rate of change of our given function for the interval from [tex]x=-4[/tex] to [tex]x=-2[/tex].

We will use formula [tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{f(b)-f(a)}{b-a}[/tex] to solve our given problem.

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{f(-2)-f(-4)}{-2--4}[/tex]

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{6--6}{-2+4}[/tex]

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{6+6}{2}[/tex]

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=\frac{12}{2}[/tex]

[tex]Average[/tex] [tex]rate[/tex] [tex]of[/tex] [tex]change[/tex] [tex]=6[/tex]

Therefore, the average rate of change for our given function on given interval would be 6 and option B is the correct choice.

Answer:

6

Step-by-step explanation:

because i am in credit recovery and i had a test on it

Other Questions
________ is a factor that helps executives decide if there is a good financial incentive for attempting a technological innovation. as sturdy as a rock mean 20 different prizes are distributed to a group of 180 people. Since the prizes are different, it matters who gets which prize. How many ways are there to distribute the prizes if each person can receive at most one prize Which country use pounds What is the distance between (-2,3) and (6,1)? A. Sq Root of 10 units B. Sq Root of 68 unitsC. 10 units D. 68 units Choose the product(s) that are most likely to be manufactured as a job, rather than as a job lot. (Check all that apply.) Multiple select question. Advertising circulars for a grocery store. Tailored wedding dress Customized home T-shirts for a local charity run How much energy is given off by the following reaction, if 162.5 g of oxygen reacts with excess ammonia (NH3)? 4 NH3 + 5 O2 + 4 NO + 6 H2O AH = -1225.6 kJ Which of the following was a major contributor to the second industrial revolution What is the reciprocal of 1 1/6 How many Hydrogen moles needed to get the energy to equal 1 mol of gasoline? Sales tax in your community is 5. 25 cents for each dollar spent. What is the total cost at the movies for three tickets at$8. 50, three bags of popcorn for $1. 25 each, and two soft drinks for $1. 50 each?3(8. 50 +1. 25 +1. 50) +5. 25 = 38. 901. 0525{3(8. 50 +1. 25 +1. 50)} = 35. 521. 0525{3(8. 50 +1. 25) +2(1. 50)} = 33. 943(8. 50 +1. 25 +1. 50) +. 0525 = 33. 82O3(8. 50 +1. 25) + 2(1. 50) +. 0525 = 32. 30 HELPPP! Lin selects one type of lettuce and one dressing to make a salad. If you paid $1050 for a $1000 10-year bond that pays an 11% annual interest payment, the bond's yield is Which of the following figures has exactly 1 line of symmetry? How did the Catholic Church plan to reach its goals? Choose three correct answers. Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 endfraction))? S and E are midpoints of BA and AM, respectively. Use the properties of mid segments to find the perimeter of BAM What advice would you give to people who may go through a crisis like this pandemic in the future? What is something important that you believe people need to know to prepare themselves for the unexpected? GDP is composed of four components. Which of the following is NOT a component of GDP What are the three components of personality, and how does personality develop in relation to each?