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)


Related Questions

Is this the right answer?

Answers

Answer:

Yes, I think that is the right answer.

Step-by-step explanation:

Whoever gets it right can have brainliest, but answer ASAP!

Answers

Answer:

512

Step-by-step explanation:

8³ is the same as saying 8×8×8

8×8×8= 512

Hope that helps!

pls help me thank you

Answers

Answer:

11x11= 1

1/2x11x10x4

=220

121+220=341

A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5 more red balls are added to the bag, the probability becomes 3/4. Find the value of X.

Answers

Answer:

10

Step-by-step explanation:

The current probability of picking a red ball is [tex]\frac{x}{15}[/tex]. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:

[tex]\frac{x+5}{15+5} = \frac{3}{4}[/tex]

When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).

60 = 4x + 20

40 = 4x

x = 10 red balls

I will give brainliest to the first person to answer

Write the equation for the following situations
After adding an 8 pound box of tennis rackets to a crate with 5 identical boxes of ping pong paddles, the crate weighed 72 pounds.

Answers

Answer:

I would say 80 pounds worth of tennis and ping pong equipment  

Step-by-step explanation:

8lbs+72lbs=80lbs

Graph the solution to this inequality on the number line.

1/4x − 2 < − 1 1/2

Answers

Answer:

Draw an open circle on 2 and continue the arrow left.

Step-by-step explanation:

Answer:

x < 2

Step-by-step explanation:

Can you answer the question in the screen shot? Thanks!

Another question about this one:
For every 3 circles there are _ : _ total shapes, therefore the simplified ratio of circles to total shapes is _ : _

Answers

For every 3 circles there are 8 in total
Answer: 3:8
screenshot: answer: 9:20

another question: answer: for every 3 circles, they are 3:8 total shapes

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

Beinggreat78, this is mostly for you. but whoever gets it right can have brainliest, but answer ASAP!

Answers

Its actully B

your welcome and pls give me the brainliest

hello!

Let's simplify these ratios:-

1. 3:9

Divide both sides by 3:-

1:3

 2. 9:27

Divide both sides by 9:-

1:3

  3. 2:4

Divide both sides by 2:-

1:2 (Option C)

 4. 30:90

Divide both sides by 30:-

1:3

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Rule 1: Multiply by 2 then add 1 starting from 1. Rule 2: Divide by 2 then add 4 starting from 40.

Answers

first I start with 1 and multiply 2 =2 and add 1 =3

so on

start with 40 divided by 2 =20+4=24

The sum total of the sequence would be 45, using the two steps given.

What is Algebra?

This refers to the use of mathematics to solve equations and letters represent numbers.

Although your sequence is incomplete because it only gave two steps, I would work with only those steps.

Hence, if the first number is 1,

Multiply by 2, 1 x 2= 2

DIvide by 2, 2/2= 1

Add 4, starting from 40.

1+44= 45.

Read more about algebra here:

https://brainly.com/question/432678

#SPJ2

meth, please help meeeeeeh​

Answers

Answer:

50⁰

Step-by-step explanation:

we know that sum of angles in a triangle is equal to 180⁰

on adding the angles we get

x⁰+x⁰+20⁰+x⁰+70⁰=180⁰

3x⁰+90⁰=180⁰

3x⁰=90⁰

x⁰=30⁰

Now angle R=x+20=30+20=50⁰

Answer is 50⁰

I HOPE IT HELPED YOU

Answer:

50 degrees

Step-by-step explanation:

please help me with this

Answers

Answer:The difference between the medians is 2.5

Step-by-step explanation: So how I did this is first I found the median of the two plots (median=the middle number in a group of values) so anyway I lined it all out because I find it easier to do it that way (20,25,25,30,30,30,30) so the answers I got for both plots were -plot A=32.5 and plot B=30 than difference means subtract so 32.5-30=2.5

Thw difference between the medians is 2.5

PLEASE I REALLY NEED THISS
Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?

Answers

Answer:

It increased by 33.696

Step-by-step explanation:

I took the test, :D-|--=:

Find the measurements

Answers

Answer:

angle 2=120°

angle 1=60

Step-by-step explanation:

70+50=120

or

180-(70+50)=60

angles on a straight line add up to 180°

180-60=120

please help and give step by step explanation thank you

Answers

Answer:

x = 40

Step-by-step explanation:

(3x + 5) + (x + 15) = 180

3x + 5 + x + 15 = 180

4x + 20 = 180

      -20    -20

4x = 160

÷4      ÷4

x = 40

I hope this helps!

5(x+21)= 8x help me please

Answers

Answer:

35

Step-by-step explanation:

Steps

1.  5x + 105 = 8x because you distributed the 5

2. 105 = 3x because you subtract the 5x on both sides

3. 105/3 = x because you divide the 3 and 105/3 is 35

what is -4/3x < -8 equal?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \frac{4}{3} x < - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - x < - 8 \times \frac{3}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - x < - 2 \times 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - x < - 6[/tex]

Multiply both sides by -1, hence inequality changes

[tex]\qquad \sf  \dashrightarrow \:x > 6[/tex]

Answer:

6

Step-by-step explanation:

A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles. What is the plane’s speed in miles per hour? At this rate, how many miles can it travel in 10 hours?

Answers

The planes speed would be 560 miles/hour.
If you divide 3360 by 6 = 560
In 10 hours the plane would travel 5,600 miles.
560 x 10 = 5600
First to find the planes speed in miles per hour,
Divide 3360 by 6 which gives you 560.
Then, to find for 10 hours, you would multiply 560 by 10 which gives you 5600.
The plane can travel 5600 miles in 10 hours.

Which of the following equations are linear functions? Explain how you got your answer.
Select the three linear functions.
A. y = x to the power of 2 - 1
B. y = 2x + 1
C. y = 1/2x - 5
D. y = 1/3x to the power of 2
E. y = -x

Answers

Answer:

B, C, and E

The reason B, C, and E are the answer's is because the equation of a linear equation is y= mx+b. B, C, and E are written this way. We can eliminate A and D because They are quadratic equations, because the X is squared.

Hope This Helps! :) Please mark brainliest!

Yep it’s B,C,E their linear functions

PLEASE GIVE CORRECT ANSWER WILL MARK BRAINIEST

Answers

Answer:

a - 30.5

b - 31

c - 31

d - 2

Step-by-step explanation:

Mean is average:

31,29,31,30,31,30,31,31,30,31,30,31

366/12

30.5

Median is the middle of the data points.

Line data points up in order from least to greatest.

29,30,30,30,30,31,31,31,31,31,31,31

12/2=6

Since there is an even amount data points the median is the mean of the two middle data points:

Middle data points: 31,31

31

Mode is the most common data point.

It would be 31.

Range is highest point subtracted by lowest point.

31-29=2

The answer is 31 hope that helps you’re welcome

i really need help on this

Answers

Answer:

b

Step-by-step explanation:

first, figure out the radius. the radius is the 1/2 of the diameter, so 5. in the equation, the formula is pi x radius^2. so 5^2 is 25. then 25x3.14 is b, and we have our answer.

Answer:

b

Step-by-step explanation:

10 divided by 2=5 radius

to get area = Radius^2 x pi

5x5x3.14= 78.5 square units

Hope this helped!

i need help on this question

Answers

Answer:

it should be -7

Step-by-step explanation:

-13-2=-15

-15 add 8 = -7

hope this helps.

fill in teh blanks 9516 / 4

Answers

Answer:

2,379 & look below for remaining numbers

Step-by-step explanation:

The divisor 4 goes to the left of the whole box, because you are dividing all the numbers by 4.

So for the last box, 4 x 9 = 36

For the top of the 3rd box, it's 4 x ? = 280, so you do 280 divided by 4 = 70

For the 2nd box, 4 x 300 = 1200

For the 1st box, I did the problem of 9516 divided by 4 in long division form.  4 goes into 9 only 2 times & the 2 is in the thousands place.  So on top of the 1st box goes 2,000 & in the box goes 4 x 2,000 = 8,000.

Add 8,000 + 1,200 + 70 + 36 = 9,516

9,516 divided by 4 = 2,379

2,000 + 300 + 70 +  9 = 2,379


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

answer all 3 for brainliest

Answers

Answer:

4. 30 ft

5. 4 m

6. 32 mm

Step-by-step explanation:

diameter= radius x 2

What are the components of division and what do they mean (Like the divisor and stuff)
BRAINLIEST IF GOOD

Answers

Answer: The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

The division is an operation inverse of multiplication. If 3 groups of 4 make 12 in multiplication; 12 divided into 3 equal groups give 4 in each group in division.

The main goal of the division is to see how many equal groups or how many in each group when sharing fairly.

For example:

There are 16 balls and 4 boxes, how to put 16 balls into four equal sized boxes?

Step-by-step explanation:  Therefore, 4 balls should be kept in each box.

Mathematical notation for division

There are various signs which can be used to indicate division such as ÷, /.

For example:

8 ÷ 2

8/2

Special names for each character in Division

Each part involved in a division equation has a special name.

Dividend ÷ divisor = quotient

Dividend: The dividend is the number that is being divided in the division process.

Divisor:The number by which dividend is being divided by is called divisor.

Quotient: A quotient is a result obtained in the division process.

 18    ÷   3    =    6

image5       image4       image6

Dividend        divisor         quotient

So, in the above process where we divided 16 balls into 4 equal groups;

The dividend is 16, the divisor is 4 and thus the quotient is 4.

Answer:

Step-by-step explanation:

There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Please help will give brainiest!!! 4. The pathway of a quarter being thrown off a bridge can be modeled by the equation h = -16t2 + 72t + 120. At what time does the quarter reach a height of 50 feet?​

Answers

Based on your information of your question
Substitute h=50 then solve for the t
H would be equal too 50

ANSWER QUICKLY!!!

Which graph shows all real numbers closer to 0 than they are to 4?

Answers

Answer:

Graph A

Step-by-step explanation:

It’s the real numbers closer 0 then they are at 4.

A
I hope this helps

OMG big news to my family our rabbit had babies

Answers

Answer:

OMGGGG SO CUTEEE!!!

Step-by-step explanation:

Answer:The most wholesome thing I have ever seen in my life.

Step-by-step explanation:

Also 77 + 33 = 100!!

A grocer wants to mix nuts costing 5.00 per kilogram with nuts costing 8.00 per kilogram to make a 10 kilogram mixture for 6.00 a kilogram. How much of each type should he mix.

Answers

Step-by-step explanation:

let E be weight of expensive nuts, C be cheaper nuts

E*8+C*5=10*6 value equation

E+C=10 mass equation

Solve it by any method, I will do determinants

Det: 8-5=3

E= (60-50)/3=10/3 =3.33 lb

C= 80-60 /3=20/3 =6.66 lb

Answer:

mix nuts 20/3

nuts 10/3=

Step-by-step explanation:

x+y=10

5x+8y=60

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