Eddie purchased 15 boxes of paper clips and 7 packages of index cards for a total of $55.40. Finn bought 12 boxes of paper clips and 10 packages of index cards for $61.70. Find the cost of one box of paper clips and one package of index cards

Answers

Answer 1

The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95

Step-by-step explanation:

Eldora and Finn went to an office supply store together

Eldora bought 15 boxes of paper clips and 7  packages of index cards for a total cost of $55.40

Finn bought 12 boxes of paper clips and 10 packages of  index cards for a total cost of $61.70

We need to find the cost of one box of paper clips and the cost of one package of  index cards

Assume that the cost of one box of paper clips is $x and the cost of one package of  index cards is $y

∵ x represents the cost of one box of paper clips

∵ y represents the cost of one package of  index cards

∵ Eldora bought 15 boxes of paper clips and 7  packages of

 index cards for a total cost of $55.40

∴ 15x + 7y = 55.4 ⇒ (1)

∵ Finn bought 12 boxes of paper clips and 10 packages of  

 index cards for a total cost of $61.70

∴ 12x + 10y = 61.7 ⇒ (2)

Now we have system of equations to solve it

Multiply equation (1) by -10 and equation (2) by 7 to eliminate y

∵ -10(15x) + -10(7y) = -10(55.4)

∴ -150x - 70y = -554 ⇒ (3)

∵ 7(12x) + 7(10y) = 7(61.7)

∴ 84x + 70y = 431.9 ⇒ (4)

Add equations (3) and (4)

∵ (-150x + 84x) + (-70y + 70y) = (-554 + 431.9)

∴ -66x = -122.1

- Divide both sides by -66

∴ x = 1.85

Substitute the value of x in equation (1) or (2) to find y

∵ 12(1.85) + 10y = 61.7

∴ 22.2 + 10y = 61.7

- Subtract 22.2 from both sides

∴ 10y = 39.5

- Divide both sides by 10

∴ y = 3.95

The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95

(this is an answer I got previously)

Answer 2
I can confirm that their answer is correct

Related Questions

Paul sketches a right triangle with legs of lengths a and b and a hypotenuse of length h. He writes an equation that relates a, b, and h, and then solves it for h. Which of the following is the solution for h that Paul writes?

Answers

Answer:

B. H=[tex]\sqrt{a^2 + b^2}\\[/tex]

Step-by-step explanation:

HELP HURRY WHat is the answer.

Answers

Answer:

your answer should be the 3rd one srry I'm so late

find the diameter of the circle

Answers

Answer:

50

Step-by-step explanation:

The diameter is twice the radius

Diameter of circle = radius of circle × 2

= 25 × 2

= 50 yd

HOPE IT HELPS :)

1. Lionel wants to compare the heights of his plants. What type of graph ou.ld be best for him to use? *

pie or circle graph
line graph
bar graph
Other:
2. Kathy records how many cars of each color are in the parking lot and then turns those into percentages. What kind of graph should she use?

pie or circle graph
line graph
bar graph
Other:
3. Find the mean of these numbers:5,11,2,12,4,2

4.1
4.5
6
4

4. 3, 4, 5, 5, 5, 6,7 The range of these numbers is ...

15
4
5
2
Other:
5. In order to find the median, the data must be sorted from least to greatest first.

True
False
Option 3
6. You use this type of graph when comparing a change over the course of time *

pie or circle graph
line graph
bar graph
Other:
7, A middle school has 6th grade, 7th grade, and 8th grade teachers. The principal wants to determine what supplies to order for the supply closet. Which of the following represents a random sample of teachers?

a. Surveying all the math teachers
b. Surveying all the teachers who have bus duty
c. Surveying all the teachers who are married
d. Surveying every fifth teacher according to the staff directory on the school website

8. A student wants to know which type of of pizza high school students perfer. Which of the following options is a good, representative sample of the population?

Asking all the 10th graders in the school
Asking the school principal which type of pizza he perfers
Asking 20 students from each grade level
Asking the students who walk to school
Other:

Answers

Answer:bar graph

Step-by-step explanation:because it is easier to record on a bar graph and pie and line graph are harder to read when recording things. Hope this helps

The students in one social studies class were asked how many brothers and sisters (siblings) they each have. The dot plot here shows the results. How many of the students have six siblings? 3
4
1
2

Answers

Answer:

1

Step-by-step explanation:

this is because if you look at the scatter plot count up the amount over 6 there is 1 dot meaning 1 student

Answer: 1.

Step-by-step explanation:

Which expression is equivalent to this fraction?

a. 19-5
b. 5-19
c. 5÷19
d. 19÷5​

Answers

C. The line between the denominator and numerator represents division. Since the 5 is on top, it shows that its the number being divide

Answer:

C

Step-by-step explanation:

[tex]5 \div 19[/tex]

think of

5/19 as in and out. 5 would be inside 19 would be on the outside. Therefore

5÷19 is equivalent to

[tex] \frac{5}{19} [/tex]

And i nee help in MORE QUESTIONS

Answers

Answer:

The true statements are C and D

Step-by-step explanation:

Find the mean temperature of both cities (the workings would take up too much space but to find the mean add the average daily temperature for each month together then divide the answer by 12. This means that the mean for city A is 46.5 degrees Fahrenheit and for City B it is 64.9 degrees Fahrenheit.For the range, you subtract the lowest daily average temperature in the month from the highest one, therefore for City A it is 90-2=88 degrees Fahrenheit and for City B it is 88-30=58 degrees Fahrenheit.From finding out the mean temperature and range for both cities, that allows you to rule out all the statements as false except for C and D

SOMONE HELPPPP PLEASEE!!

Answers

Answer:

animal weights 15 pounds at birth

please make this answer brainliest If I helped you!

Answer:

animal weights 15 pounds at birth

Step-by-step explanation:

Rule 1: Subtract 4 starting from 20.
Rule 2: Subtract 3 starting from 20.

What would the coordinate pair be?

Answers

Answer:rule 1  is 16

             rule 2  is 17

Step-by-step explanation:

The first one is 16

The second one is 17

Niguel is using the video game controller shown. The game Maguire is playing has a very special moves that require pressing two lettered buttons at the same time. how many 2-button special moves are possible with a controller?

A. 16
B. 720
C. 30
D: 15

Answers

the answer should be 30. sorry if this is incorrect but i am pretty sure that it is 30

I need help please!!!!!!!

Answers

Answer:

Ray HF is not shown in the drawing.
Ray FH is ccorrect, but HF is not.

2. Trina increased the water in her new backyard fish pond by forty gallons and needs to add more. Her
pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes.
Write an inequality in terms of m to represent the number of minutes Trina can run the water hose to
add more water to the pond without adding the maximum amount in case of rain.

Answers

Answer:

A) 24*m + 40 ≤ 256

B) She could leave the house running for at most 9 minutes

Step-by-step explanation:

PLEASE HELP ASAP
Select from the drop-down menus to correctly complete each statement.
Quadrilateral ABCD can be mapped onto quadrilateral EFGH with a ____ followed by a ___. The figures are___.

Answers

Answer: Dilation followed by a rotation & they are similar.

Step-by-step explanation:

Whoever gets it right can have brainliest but answer ASAP!

Answers

Answer:

3 1/3

Step-by-step explanation:

Multiply

2 1/2 * 1 1/3 = 20/6

Simplify

20/6 = 10/3 = 3 1/3

Answer:

20/6=10/3= 3 1/3

Step-by-step explanation:

3 1/3 =10/3 just simplifed

I will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

bike 2 5 (2,5)

top hat 4 2 (4,2)

ball 4 9 (4,9)

pogo stick 9 9 (9,9)

bear 10 2 (10,2)

Answer:

Step-by-step explanation:

bike 2 5 (2,5)

top hat 4 2 (4,2)

ball 4 9 (4,9)

pogo stick 9 9 (9,9)

bear 10 2 (10,2)

negative decimals on the number line 5

Answers

Answer:

B

Step-by-step explanation:

Since there is 10 lines separating -3 and -4, that means the space between 2 lines in 1 tenth, and b is 3.5 lines away from -3. Making it -3.35


have a nice day :)

Answer:

B

Step-by-step explanation:

Each section represents 0.1

You would count 3 sections to the left of -3 because -3.35 is less than -3. You would end up at -3.3. Move to the left half a section for 0.05 and you would end up at point B, which is equal to -3.35.

I hope this helps and please mark me as brainliest!

Marla wanted to train to run a 6 mile race. How many days did it take her to reach 6 miles?

She reached her goal on the 26th day.

She reached her goal on the 29th day.

She reached her goal on the 30th day.

She reached her goal on the 27th day.

Answers

she reached 6 miles on her 30th day

Given the distance Maria ran each day, the total distance she ran during a fifteen ( 15 ) days strech is 55.5miles.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Expression for the Total of Distance ran by Maria

Total distance = Distance ran each day × Number days

Given the data in the question;

Distance ran each day by Maria Dm = 3.7miles

Number days ran n = 15days

Total number of distance ran by Maria TDm = ?

Total distance = Distance ran each day × Number days

TDm = Dm × n

We substitute in our values

TDm = 3.7miles × 15

TDm = 55.5miles

Given the distance Maria ran each day, the total distance she ran during a fifteen ( 15 ) days strech is 55.5miles.

Learn more about multiplication here:

brainly.com/question/2610134

#SPJ7

complete question:

Marla ran 3.7 miles a day for 15 days straight. How many miles did Marla run altogether during the 15 day stretch?

which number line shows the solution of 5x-25<-15?
givning brainliest

Answers

Answer:

x < 2

Step-by-step explanation:

5x-25<-15

Add 25 to each side

5x-25+25<-15+25

5x < 10

Divide by 5

5x/5 < 10/5

x < 2

Open circle at 2   line to left

Point A is 6 units away from the origin. Select all possible coordinates of point A.

A. (6,6)
B. (6,1)
C. (6,0)
D. (1,6)
E. (0,6)

Answers

A,B,C,D,E i THINK so because if you are 6 units away then the cordinets have to have six in it im not sure tho if X axis than A,B,C
Answer : C and E not really sure if there is anything else

please help me? < 3 (8th grade)

Answers

Answer:

x= −2 and y=2

Step-by-step explanation:

First graph it onto the coordinate plane. Wherever they intersect, those coordinates are the answer.

To graph the equation,

1) Plot the y-intercept

2) Depending on whether the slope is positive or negative, go up or down and left or right from the y-intercept.

Seven thirteenths of the bones in the feet are toe bones. Write and simplify an expression that gives the fraction of the bones in a typical human body that are feet bones but not toe bones. Explain.

Answers

Answer:

12/103

Step-by-step explanation:

(7/13)*52=28

28 bones in the feet are toe bones.

52-28=24

24 bones in the feet are not toe bones.

24/206

simplify

12/103 bones in human body are feet bones but not toe bones

A penny is about 1/16th of an inch thick. The distance from the moon to the earth is about 239,000 miles. What is the exact number of pennies needed to be in a stack in order to reach the moon?

Answers

Answer:

15,143,040,000 (fifteen trillion one hundrend fourty-three billion fourty thousand

Step-by-step explanation:

for every mile their are 63360 inches.

63360*239,000=15143040000

A. Reflect triangle TRX across the x-axis to form triangle T'R'X'.

B. If triangle TRX is rotated 180 degrees to form triangle T'R'X', what are the coordinates of point X.

Answers

Answer:

X' = (-2, 4)

Step-by-step explanation:

If you reflect the triangle over the x-axis you find that X' is (-2, 4). If you would like the image, you can ask me.

in 2014 the price of a forever stamp from the United States Postal Service was 0.49 how many forever stamps Can Alyssa buy for 30.38

Answers

She can buy 62 stamps. 30.38 cost/0.49 per stamp=62.


please help me with this! i’ll give you brainlist or whatever it’s called just help

Answers

Y= -2, -1, 0, 1 ,2
The function is linear

Answer:

-2, -1, 0, 1, 2

Step-by-step explanation:

-4/2=-2

-2/2=-1

0/2=0

2/2=1

4/2=2

Please answer this math problem sceenshot below

Answers

Answer:

3 and 4 it is 60

is the answer

if you like my answer please like comment and mark me as brilliant

They are both 60 on both answers

PLEASE HELP DUE IN 5 MIN

Answers

1025.
To find the equation, you have to know the slope (5x) and the y intercept (25)
(Formula: y=mx+b) It says the input= x.
So plug 200 for x
5(200)+25=1025

The value of output for value of input of 200 is,

⇒ y = 1025

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The table shows the outputs for several inputs.

Now, We can find the expression for the table as;

Take two points are (0, 25) and (1, 30)

Hence, The equation is,

y - 25 = (30 - 25) / (1 - 0) (x - 0)

y - 25 = 5x

y = 5x + 25

Hence, The value of output for value of input of 200 is,

y = 5 × 200 + 25

y = 1000 + 25

y = 1025

Thus, The value of output for value of input of 200 is,

⇒ y = 1025

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Whoever answers correctly can have brainliest
but answer asap

Answers

Answer:

The last one only when you have a fraction division problem:keep change flip

Step-by-step explanation:

hope that helps

Answer:

false you only flip the second fraction when you have a fraction division problem

Step-by-step explanation:

Please help! I’m soooooo confused

Answers

Two methods for you:) I hope I can help you

The number of purple T shirts that the Trenton's scouting group made is 15.

What is a Pie Chart?

A pie chart is a type of graph where a circle is divided into certain sectors where each sector shows a proportion of the whole.

Given is a pie chart or circle graph.

This shows the number of different colored T shirts that the Trenton's scouting group made.

Total number of T shirts = 100

Total degree of a circle = 360°

The circle is divided in to various sections with each section of different degree.

Angle measure for the purple section = 54°

Proportion of purple T shirts to the full T shirts = 54 / 360

                                                                             = 0.15

Number of purple T shirts in total of 100 T shirts = 0.15 × 100

                                                                                = 15

Hence the number of purple T shirts made is 15.

Learn more about Pie Charts here :

https://brainly.com/question/10646413

#SPJ7

What is the area of this quadrilateral?

Answers

Answer:

C, 48 square feet

Step-by-step explanation:

Area of trapezoid is [tex]\frac{b_1+b_2}{2}\cdot h[/tex], where b1 and b2 are the two bases.

The top base is 9, while the bottom base is 9+3+3=15.

9+15/2 = 12 * 4 = 48.

Answer:

your answer would be D. 36 square feet

Other Questions
People use water to cook, clean, and drink every day. An estimate of 22.8% of the water used each day is for cleaning. If a family uses 68.4 gallons of water a day for cleaning, how many gallons do they use every day? please help me Find m 1. What series of laws did the U.S. government pass in the 1920s? A) laws that encouraged people to immigrate out of the U.S. B) laws that promoted more healthy food for families C) laws that limited immigration from certain countries D) laws that limited the number of times someone could be president2. What effect did the Immigration and Naturalization Act of 1965 have? A) It abolished the quota system. B) it increased the quota system. C) It changed laws about citizenship. D) It shut down immigration completely.3. Read the following sentences.One of [the Immigration and Naturalization Acts] goals was to try to end racial and ethnic discrimination towards certain immigrants. Rather than giving immigrants visas based on their race or ethnicity, these new policies focused on reuniting family members and getting skilled workers into the U.SFor the first time, a limit was placed on the number of immigrants from the Western Hemisphere, which included Mexico, Central America, and South America.What can you conclude about the Immigration and Naturalization Act of 1965 based on this information? A) It kept race or ethnicity based restrictions in place for immigration to the U.S. B) It didnt change anything about the way that people from the Western Hemisphere came to the U.S. C) It placed restrictions on immigration for people from all countries around the world equally. D) It placed restrictions on immigration from certain areas of the world, but not based on race or ethnicity.4. How did the U.S. handle the question of refugee immigration in contrast to standard immigration?A) The U.S. set a separate number for refugee visas regardless of what area of the world theyre coming from. B) The U.S. treated the refugee visas the same as the standard immigration visas and limited ones from certain areas. C) The U.S. decided to ignore the question of refugee visas until 2002, when the government passed new laws. D) The U.S. only let refugees from certain countries into the country on immigration visas. Concentrated animal feeding operations that raise hundreds of animals in a single location often use manure lagoons to dispose of the manure. manure lagoons are ponds lined with rubber to prevent the manure from leaking into groundwater or nearby waterways. one pig produces 30 liters of manure each day, and the average feedlot holds 900 pigs. calculate the amount of manure produced by the feedlot after 30 days to determine the minimum capacity needed for a manure lagoon. a faulty manure pond leaks into a nearby lake. describe one effect this leak would have on the organisms living in the lake. Show all steps when completing the square to solve 2x^{2} - 4x - 5 = 25. Which of these are reliable Internet sources for conducting research? Check all that apply. sites run by universities sites that anyone can edit US government sites online newspaper sites anonymously authored sites .Fill in the blanks to find the difference in the expressions.-2x+58AA x2+XB x +11x +4X +3x2 + 7x +D Carefully review the information about each type of chair and cultural context, and reflect on ideas about beauty and usefulness that emerge from each design. Record your notes in the matrix below. You may need to do additional research to complete the matrix.Chairs at Reynolda(Jacobean, William and Mary, or other-- choose at least one style.)18th-Century French Seat Design(Choose at least one style.)Shaker ChairsBauhaus ChairsWhat materials were used in this chair? Explain Resistor in parallel and series. Find the Product or expression of: (6x+4)2 Which statement best describes the political system of the United States?O Two powerful political parties compete with one another to hold office and influence publicpoliciesO Candidates who are not aligned with any political parties regularly win elections and influencegoverning processes.O Small political parties form alliances to win elections and control the government.O Most candidates and government officials are members of a single dominant political party. Solve for the missing angles. Can somebody please help in stuck! 1. consumer2. market economy3. planned economy4. price5. producereconomy in which market forces determine prices of resources and the prices and distribution of goods and serviceseconomy in which a central authority owns productive resources and distributes goods and servicessomeone whose wants are satisfied by using goods and servicespeople who make goods and provide servicescost of a good or service Which of the following is the correct chemical formula for glucose Write short biographies of two revolutionary figures mentioned in this section 2 m6 mVolume = Base x heightFind the volume of this cylinder. Is 5/2 to the right of number 1 on number line? Dora is making invitations for her party. Dora needs to make invitations for 54 of her friends. On Friday you helped her make 1/2 of the invitations. How many did you make? What is the advantage of selecting the only create connection option when importing data?. Question 6 (1 point)What 4 body systems are used for CLEANINGYOUR ROOM?List each body system (4 systems should belisted) and explain how each system helps thebody when you clean your room. Here are the body systems we talked about in class. Use this list to help you recall the types of systemsin the body: Muscular System, Skeletal System, Nervous System, Circulatory System, Digestive System,Immune System, Reproductive System, Integumentary System, Respiratory System, Excretory System