Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Castel sold 2 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $89. Kali sold 9 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $213. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?

please help, am not good at word problems. I will also give the brainliest answer.​

Answers

Answer 1

Answer:

Plain is $7 and Holiday is $15

Step-by-step explanation:

Castel: 2p + 5h = 89

Kali: 9p + 10h = 213

Double Castel's: 4p + 10h = 178

Subtract fro Kali's   9p + 10h = 213

                              - 4p + 10h = 178

5p = 35

p = 7  Plain is $7

Substitute 7 into one of the equations and solve for h:

2(7) + 5h = 89

14 + 5h = 89

5h = 75

h = 15  Holiday is $15


Related Questions

PLEASE HELP ME WITH THIS

Answers

Answer:

  35/132

Step-by-step explanation:

The probability of selecting a boy for president is 7/12, the ratio of the number of boys to the number of candidates. Then the probability of selecting a girl for vice president is 5/11, the ratio of the number of girls to the remaining number of candidates. The joint probability is ...

  (7/12)(5/11) = 35/132 . . . P(b=P&g=VP)

__

We can also look at this another way.

The number of ways two candidates can be selected from 12 is 12P2 = 132. The number of ways that the first can be a boy and the second can be a girl is (7)(5) = 35. Then the probability of a (BG) pair from the 12 candidates is 35/132.

_____

Additional comment

These numbers assume that selection is random and all possibilities are equally-likely. That is unlikely to be the case in an election.

for everyone who answers this happy points​

Answers

Answer:

im just answering because im doing a challenge.

Step-by-step explanation:

What is the area of the trapezoid?​

Answers

Answer:

45 ft²

Step-by-step explanation:

I hope this helps!

Graph: Is it a function? (Yes / no) why or why not?

Answers

short answer: yes.

the definition of a function is a graphical relation in which each x value (input) has only one y value (output). if we use the vertical line test, we can see that each x value on this graph corresponds to one y value and one only. if a certain x value had more than one y value, then it wouldn’t be a function.

hope this helped, i tried to keep this concise but if you need a better explanation let me know :)

Please help with this

Answers

Answer:

the value of ST is 2 of its x is 2

༒Question༒


refer to attachment


nonsense will get report​

Answers

Answer:

REFER TO ATTACHEMENT

I HOPE IT IS HELPFUL

What does the point (12,45) represent?
A
For 45 dictionaries, the cost is $12.
B The cost of each dictionary is 12 divided by $45.
C
The cost of 12 dictionaries is $45.
D
The total cost of the dictionaries is 12 times $45.

Answers

I think it might be A I’m not sure though but you can try it :)

Jennie has $200 and spends $30. What percent did Jennie spend?

Answers

Answer:

30$ is 15% of 200$

Step-by-step explanation:

To find how much percent Jennie spent let's first find how much one percent of $200 is.

∴200/100=2

so one percent of 200 is 2

now let's find how much percent 30$ is of 200$

30/2=15

meaning that 30$ is 15% of 200$

she spent 15% because 30 is 15% of 200

200x15%= 30

what is the constant proportionality of y=5/7x

Answers

Answer:  5/7

Explanation:

I'm assuming the equation is [tex]y = \frac{5}{7}x[/tex] which is the same as writing y = (5/7)x.

If so, then the constant of proportionality is the fraction out front: The value 5/7 is the coefficient of the term (5/7)x.

All direct proportion equations are of the form y = kx, where k is the constant of proportionality.  Another example would be y = 12x and this time k = 12.

Solve by factoring : x^2-5x-36=0
Part III: The sum of your two factors must be -5. Which of your factor pairs
above could produce this sum? (2 points)

Answers

Answer:

-9 and +4 are the factors

Step-by-step explanation:

-9 times +4 is -36 and if you add +4 to -9, you get -5.

After this your function will look like this:

[tex]x^2-9x+4x-36[/tex]

and then:

[tex]x(x-9)+4(x-9)[/tex]

so the answer is:

[tex](x-9)(x+4)[/tex]

the correct answer is x= 9 and -4 :) hope this helps

Spencer has a wooden post that is five and three sevenths feet long. He cut two and one half feet off the post. What is the length of the remaining post in feet?

Answers

Answer:

  2 13/14 feet

Step-by-step explanation:

The remaining length is the difference between the starting length and the amount cut off:

  5 3/7 - 2 1/2 = (5 -2) +(3/7 -1/2) = 3 +((3·2-7·1)/(7·2)) = 3 -1/14

  = 2 13/14 . . . feet remaining

_____

Additional comment

Addition and subtraction of fractions can be accomplished using a formula that does not rely on finding a least common denominator. In this case, the denominators have no common factors, so their product is, in fact, the least common denominator.

  [tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]

Answer:

3 and five fifthteenths or  3 and 4/9

Step-by-step explanation:

i think so.........

In a factory 54,680 parts were made. If 300 parts were found to be defective what is the percent of error?

Answers

0.54864667154353% i think this is it. you may be able to only put 0.55% or 0.54%

the current temperature in small town is 20 degrees fahrenheit this is 6 degrees less than twice the temperature that it was 6 hours ago

Answers

20 +6= 26 26 x2 =52 so it is 52 degrees 6hrs ago

Help. I can’t seem to figure out what to do

Answers

Answer: Both of the Givens go in the left top boxes, and then in the right top boxes you would put B is the midpoint of AD and CE and then AC is equal to DE. In the third and fourth boxes on the left, you would put CB = EB and then AB is equal to DB. In the third and fourth boxes on the right you put both of the Def. of Midpoints. Then, in the last box to the left, you would put triangle ABC = DBE. In the final box to the right you would put Side-Side-Side Congruency.

Step-by-step explanation:

1) ac≅de, given

2) b is the midpoint, given

3) ab≅db, defn midpoint

4) cb≅eb, defn midpoint

5) abc≅dbe, side side side

Desperately need help on question 2 & 3 !

Answers

13

x=15

because of the other one is the only thing

1 A recipe uses 1 - cups of milk to make 10 servings. If the same amount of milk is used each serving, how many servings can be made using 1 gallon of milk? Show your work​

Answers

Answer:

160 servings

Step-by-step explanation:

Step One:

1 gallon=16 cups

1 cup=10 servings

Step Two:

Multiply 16 by 10

which gives you your answer 160

A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0. 50, while each cylindrical container costs $0. 75. Which packaging should the company use to minimize cost? Explain. The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $2. 50 less than using the rectangular boxes. The rectangular prism boxes should be used because they will cost the company $5. 00 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $5. 00 less than using the rectangular boxes.

Answers

The true statement is (a) The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers.

The given parameters are:

[tex]Pencils = 2400[/tex] --- the pencils needed

The number of pencils the prism can hold is:

[tex]Prism =60[/tex]

Divide the number of pencils needed by the number of pencils in 1 rectangular prism, to calculate the number of prisms needed (n1)

[tex]n_1 = \frac{Pencils}{Prism}[/tex]

So, we have:

[tex]n_1 = \frac{2400}{60}[/tex]

[tex]n_1 = 40[/tex]

A rectangular prism costs $0.50.

So, the total cost is:

[tex]Total\ cost = 40 \times 0.50[/tex]

[tex]Total\ cost = \$20[/tex]

The number of pencils the cylinder can hold is:

[tex]Cylinder=80[/tex]

Divide the number of pencils needed by the number of pencils in 1 cylinder box, to calculate the number of cylinders needed (n2)

[tex]n_2 = \frac{Pencils}{Cylinder}[/tex]

So, we have:

[tex]n_2 = \frac{2400}{80}[/tex]

[tex]n_2 = 30[/tex]

A cylinder costs $0.75.

So, the total cost is:

[tex]Total\ cost = 30 \times 0.75[/tex]

[tex]Total\ cost = $22.5[/tex]

By comparison, the rectangular prism costs $2.5 less than the cylinder

Hence, the true statement is (a)

Read more about volumes at:

https://brainly.com/question/1908836

In 1–2 sentences, explain what should be included in the outline for an argument. Use specific details to support your answer.(2 points)

Answers

It should b noted that the main things that should be included on the outline for an argument include the introduction, body, and conclusion.

The introductory paragraph outlines the topic and provides background information that is important for the readers to understand the argument.

The body paragraphs explain the reasons that support the thesis. It clearly explains why the reader should agree with the position stated.

Lastly, the conclusion restates the thesis and then summarizes the arguments made.

Learn more about essays on:

https://brainly.com/question/24799048

Answer:

You can use outline details for each topic and subtopic in your paper organizing, these points so that they can build your argument toward an evidence-based conclusion. Writing an outline will also help you focus on the task at hand and avoid unnecessary tangents, logical fallacies, and underdeveloped paragraphs so you can identify the research problem.

MARK ME BRAINLIST

can someone plz help with math?!

Answers

Answer:

150:30

150/30=5

so, every minute he burns 5 calories

Step-by-step explanation:

slope= 1/5

Answer:

Calories per minute: 5 calories

Slope: 1/5

Step-by-step explanation:

A 3 to 1
B 6 to 2
C 7 to 2
D 9 to 3

Answers

Answer:

yo what is your question??????

Step-by-step explanation:

Maybe c 7 to 2

Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB

Answers

Answer:

∠ DAB = 48°

Step-by-step explanation:

The sum of the 3 angles in Δ ACD = 180° , then

∠ CAD + 60° + 90° = 180° , that is

∠ CAD + 150° = 180° ( subtract 150° from both sides )

∠ CAD = 30°

Then

∠ DAB + ∠ CAD = ∠ CAB

∠ DAB + 30° = 78° ( subtract 30° from both sides )

∠ DAB = 48°

pls help meeeeeeeeeeee

Answers

Answer:

b=22/15 or 1.46 repeating

Step-by-step explanation:


What does R represent?
A. a line segment
B. a point
C. a line
D. a rat

Answers

Answer:

B

Step-by-step explanation:

What is 540 into standard form

Answers

Answer:

5.40 x [tex]10^{2}[/tex]

Step-by-step explanation:

hoped that helped:P

Can someone pleasee answer this

Answers

Not for 5 points. Maybe for 10 points, but not 5.
Angles in a triangle add up to 180.
Angles on a straight line also add up to 180.

Using this knowledge, you can find angle OLW which lies on a straight line:

180 – (2x–48)

(Where 2x – 48 is the other angle which lies on the straight line)

180 – 2x + 48

228 – 2x

So angle OLW is 228 – 2x.


Now that you know all the angles in the triangle, add the sum of all the angles and make it equal to 180 to find the value of x (you make it equal to 180 because all angles in a triangle add up to 180).

180 = 228 – 2x + x + 32

180 = 260 – x

180 + x = 260

x = 260 – 180

x = 80

So the value of x is 80.


Substitute x = 80 into the expressions for the angles to find the sizes of the angles.

Angle FOW = x
Angle FOW = 80

Angle FLW = 2x – 48
Angle FLW = 2(80) – 48
Angle FLW = 160 – 48
Angle FLW = 112

Angle OLW = 180 – 80 – 32
Angle OLW = 68

BRANLIEST FOR CORRECT ANSWER



Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠S =

∠ TXY
∠ XTY
∠ XYT



Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠STR =

∠ XYT
∠ TXY
∠ XTY



Complete the pairs of corresponding parts if △RST ≅ △TXY.
RS =

TX
XY
TY




Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =

TY
XY
TX





Complete the pairs of corresponding parts if △RST ≅ △TXY.
RT =

TX
XY
TY





Complete the pairs of corresponding parts if △ABD ≅ △EFC.
∠A =

∠ FCE
∠ FEC
∠ EFC





Why is ▲MAE ≅ ▲TON?

HL
HA
LL




All of the following are ways to prove triangles congruent except

SAS
SSA
ASA
SSS

Answers

Answer:

Step-by-step explanation:

△ RST ≅ △ TXY

We are given ΔRST and ΔTXY are congruent to each other.

If two triangles are congruent to each other then their corresponding parts are equal.

Please see the attachment of two triangles.

∠R is corresponding to ∠T

∵  ∠R=∠T By CPCT

∠XYT is corresponding to ∠STR

∵  ∠XYT=∠STR By CPCT

∠XTY is corresponding to ∠SRT.

∵  ∠XTY=∠SRT By CPCT

∠TXY is corresponding to ∠RST

∵  ∠TXY=∠RST By CPCT

CPCT: Congruent part of congruence triangle.

what is the answer please help!!!
(asap)

Answers

So I could only figure out question 8, 9, 10, and maybe 12.

Answer:

8.) x=29

9.) <b=32

10.) <z=106

?? 12.) 128 i think

Step-by-step explanation:

8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.

2x+1+3x-15+49=180

After this you add up all of the similar terms.

5x+35=180

Now subtract 35 from both side to get

5x=145

Now divide each side by 5 and you should get 29

so x=29.

9.) First step is to add all of the angles together and equal to 180.

x+28+x-28+x=180

Next add all of the like terms together.

3x=180

Now divide each side by 3 to get x=60.

Don't stop there. Now fill in the x at <b.

(60)-28 which equals 32. so <b=32

10.) First step is to add all of the angles together and equal them to 180.

x-9+x-1+3x-20=180

Next add all of the like terms together.

5x-30=180

Now add 30 to both sides.

5x=210

now divide both sides by 5 to get x=42

Don't stop there.

Now fill in the answer for x in the <z spot.

3(42)-20

<z=106

12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.

Okay so first i did 3x-28+x=180

By using desmos, I got the answer x=52

Basically all it did was

4x-28=180

add 28 to both sides to get 4x=208

then we divide by 4 on both sides to get x=52

after that you fill in the x for the outer angle because that is what it is asking for.

you then get <QST=128

I know its not all of them but i hope this helps!!

Tell whether the ordered pair is a solution to the equation.

(4, 4); y = -x + 8

Answers

Answer:

Yes, it is.

Step-by-step explanation:

(4) = -(4)+8

4=4

True

HELP ME GUYS PLEASE! :)

Answers

Answer:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Step-by-step explanation:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Hope this helps! :)

Definition of Variable and Constant with examples!
Spam free answers required!​

Answers

Answer:

[tex]\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}[/tex]

Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.

[tex]\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}[/tex]

A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.

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