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

Can someone please help:)

Answers

Answer:

False

Quadrant || contains ordered pairs of the form (Positive number, Negative number

The point (-6,0) is located on the y-axis  

The origin is located in Quadrant |.

True

The ordered pair (2,-5.2) is located in Quadrants IV.

To Plot points in Quadrant |||, move left and down from the origin.

Step-by-step explanation:

The ordered pair (2,-5.2) is located in Quadrants IV. True

True, because Quadrants IV contains order pairs of the form  of (+,-)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Quadrant || contains ordered pairs of the form (Positive number, Negative number False

False, because Quadrant || contains order pairs of the form (-,+)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The point (-6,0) is located on the y-axis  False

False, the abscissa or x-coordinate is −6 and the ordinate or y-coordinate is 0. We know, any point on the x-axis has the form (a,0) and any point on the y-axis has the form (0,a), where a is any number.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The origin is located in Quadrant |. False

Origin always in the middle.

We know, the origin is the point of intersection of the x-axis and the y-axis. That is, when x=0 and y=0, we get the origin.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

To Plot points in Quadrant |||, move left and down from the origin.  True

Starting at the origin then move left would give us to Quadrant || and then down would give us Quadrant |||.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Kavinsky

Answer:

True: The ordered pair (2,-5.2) is located in Quadrants IV.

To Plot points in Quadrant |||, move left and down from the origin.

False:

Quadrant || contains ordered pairs of the form (Positive number, Negative number The point (-6,0) is located on the y-axis The origin is located in Quadrant |.

Step-by-step explanation:

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.

Two circles have the same center C. (Circles that have the same center are called concentric.) The larger circle has a radius of 10 and the smaller circle has a radius of 6. Determine the area of the ring between these two circles.

Answers

Answer:

A=64π

Step-by-step explanation:

Area of a circle=πr²

π·10²-π·6²

=100π-36π

=64π

If you need to round it

64π≈201.062

Hope this helps :D

Nicole and Ian generate two patterns. Nicole uses the rule multiply by 3 then add 2 starting with 1. Ian uses the rule add 1/2 then multiply by 2 starting from 0. Complete the table to show the numbers in each pattern. Then create the ordered pairs.

Answers

Answer:

Nicole: 1, 5, 17, 53, 161, 485

Ian: 0, 1, 3, 7, 15, 31

Pairs: 1,0- 5,1- 17,3- 53,7- 161,15- 485,31

Step-by-step explanation:

The coordinate pairs of Nicole and Ian's rule are (5,1),(17,3),(53,5),(161,10),(485,20)

What is coordinate?

A coordinate is a system that uses one or more number to show the position of the points. It is in (x, y) form where x shows value on x axis and y shows value on y-axis.

How to determine coordinates?

We have been given that Nicole's rule is multiplied by 3 then add 2 starting with 1.

Values of Nicole's rule are 5,17,53,161,485.

Ian's rule is given as add 1/2 then multiply y 2 starting from 0. The values will be:

1,3,5,10,20.

Hence the coordinates are (5,1),(17,3),(53,5)(161,10),(485,20).

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At the bottom is a completed addition problem with all the digits replaced by letters. Every letter represents a single digit and different letters represent different digits. Which digit might the letter T represent?
I WILL MARK BRAINLIEST!! Please answer asap

Answers

19 is the answer as t is the 19th letter of the alphabet

A room that is shaped like a trapezoid will be carpeted. The parallel sides of the room are 15 feet and 25 feet long. A segment perpendicular to these sides is 22 feet long.

The carpet will cost $5.20 per square foot.

How much will it cost to carpet the room?

Answers

A = (a+b)/2 h

A = (15+25)/2 * 22

A = 40/2 * 22

A = 440 square ft

440*5.2= $2,288 to carpet the room

Hope this helped

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

B

Step-by-step explanation:

If I'm wrong?????

Eric cut a piece of wood into the shape of a trapezoid. The trapezoid has base lengths of 8 inches and 9 inches. The height of the trapezoid is 13 inches.

What is the area of the trapezoid?

Answers

Answer:

110.5 inches

Step-by-step explanation:

A=(a+b)/2 h

A = (8+9)/2 * 13

A = 17/2 * 13

A = 110.5 inches

Hope this helped

Answer
110.5

Explanation
The formula for a trapezoid is
(B1+b2)h
A=—————-
2

So your first base is 8 and your second base is 9 so you first add those up to get 17 afterwards you multiply by your height, 13, once you get the answer of 221 you then divide by 2 to get the answer 110.5

Hope this helps

heres another one pls help i need only one assignment for my grade to get to a B

Answers

Answer:

90

Step-by-step explanation:

angle f = 70 degrees and all the lines are equal (70 degrees)

90°-20°=70°

90 is the answer I took the test

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

(1/3)^2+3^2 i have been stuck on it

Answers

(1/3)^2 would equal (1/9) and 3^2 would equal 9, so (1/9) + 9 would equal 9.1111 (repeating) or 82/9. Hope this helps!
9.11 , or if you want to round than 9

even more math cuz you know, i dont know it.

Answers

The measure of angle u is 101°. Angle u corresponds to angle y because they correspond in location. The Corresponding Angles Theorem states that if two parallel lines intersect a transversal, then the created corresponding angles are congruent. Helena might have thought that angles u and t were vertical angles.
the answer is 101 degrees because angles t & u are supplementary.

(im not good at explaining things so i drew a visual.)

i need more help on these questions please

Answers

Answer:

1,2,4,8,2

Step-by-step explanation:

For the first blank, it asks you to look at the change in y-value where the x-value changes from 0 to 1. As the y-value goes from 2 to 3 in this space, it is increasing by 1.

For the second blank, it asks you to look at the change in y-value where the x-value changes from 1 to 2. As the y-value goes from 3 to 5 in this space, it is increasing by 2.

For the third blank, it asks you to look at the change in y-value where the x-value changes from 2 to 3. As the y-value goes from 5 to 9 in this space, it is increasing by 4.

For the fourth blank, it asks you to look at the change in y-value where the x-value changes from 3 to 4. As the y-value goes from 9 to 17 in this space, it is increasing by 8.

For the fifth blank, it asks you to find the rate of change for the graph using the information we previously found. As you can see, the rate of change is 2 for this exponential function, as for every x-value increasing by 1, the change in y-value is multiplied by 2. In other words, if you look at the prior answers you can see that 1*2=2, 2*2=4, and 4*2=8, and all of these changes occur while the x-value increases consistently. Therefore, the grow factor is 2 for every interval of 1.

Hope this helps!

I NEED HELP.
PUZZLE ONE.

Answers

Answer:

50.33 miles

Step-by-step explanation:

The Pythagorean Theorem: a^2 + b^2 = c^2; in other words, side 1^2 + side 2^2 = hypotenuse^2.

School to Pizza Palace:

x^2 = 12^2 + 1^2 = 144 + 1 = 145

x = sqrt(145) = about 12.04

Pizza Palace to Movies:

x^2 = 8^2 + 4^2 = 64 + 16 = 80

x = sqrt(80) = about 8.94

Movies to Home:

x^2 = 6^2 + 4^2 = 36 + 16 = 52

x = sqrt(52) = about 7.21

Home to Park:

x^2 = 5^2 + 7^2 = 25 + 49 = 74

x = sqrt(74) = about 8.60

Park to School:

x^2 = 8^2 + 3^2 = 64 + 9 = 73

x = sqrt(73) = about 8.54

School to Home:

x^2 = 3^2 + 4^2 = 9 + 16 = 25

x = 5

Sum = 12.04 + 8.94 + 7.21 + 8.60 + 8.54 + 5 = 50.33 miles

What is the value of x in the following equation?

Answers

Answer:

B. 15/8

Step-by-step explanation:

[tex]\frac{1}{3} x+7=3x+2[/tex]

[tex]3x-\frac{1}{3}x= 7-2[/tex]

[tex]\frac{8}{3} x=5[/tex]

[tex]x=\frac{5}{\frac{8}{3} }=\frac{(5)(3)}{8}[/tex]

[tex]x=\frac{15}{8}[/tex]

Hope this helps

Dilbert's TV and Appliance discounts all televisions 6% to customers paying in cash. Rebecca paid $1,922.29 in cash and before tax for a 52-inch widescreen TV. What was the original price of the TV, not including tax?

Answers

Answer:

2,044.99 + Whaterver the tax percentage is. For example, if it's 8%, then you can do 2,044.99 x 1.08 to get your answer.

Step-by-step explanation:

someone help me with this. i’ll give you brainlist or whatever just help

Answers

(-2,-1)
(-1,0)
(0,1)
(1,1)
(2,2)

Yes it’s linear

Hope this helped

English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office
Read Shakespeare's "Sonnet 19.” Devouring Time, blunt thou the lion's paws, And make the earth devour her own sweet brood; Pluck the keen teeth from...


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office


English44 seconds ago
+45 pts
where was George Wesley Atkinson Dingbat Sworn into office

Answers

Sorry if it’s wrong

Students at Baldwin Elementary School cast 432 votes for student government president. If the number of votes the losing candidate received was 60% of the number that the winner received, how many more votes than the loser did the winner receive?

Answers

Answer: 173

Step-by-step explanation:

60% of 432 is 259 so 432-259=173  

173 more votes at the elementary school

Find the quotient.

(3.683 × 104)
(7.51 × 1012)

What is the solution in scientific notation?
4.9041 × (-9)10
4.9041 × 10-9
4.9041 × 109
4.9041 × 910

Answers

4.9041 times 10-9 and I think that’s the answer but almost positive

Answer:

it's B. 4.9041 x 10^-9

Step-by-step explanation:

WILL CHOOSE BRAINLIEST!!! The oxford square is approximately 300 feet on each side. What is the length of the diagonal square?

Answers

Answer:

[tex]300\sqrt{2}[/tex]

Step-by-step explanation:

using pythagorean theorem we know that a^2+b^2=c^2 so [tex]300^2+300^2=c^2[/tex]

so [tex]c=+- \sqrt{300^2+300^2}[/tex] knowing that the line has to be positive you take the positive integer.

Question is in the image below!

Answers

Answer:

The answer is b

Step-by-step explanation:

The answer is A, hope this helps.

Debra needs 322 programs for the school play on Thursday. How many boxes of programs will she need, given that each box contains 48 programs?

Answers

Answer:

7 boxes

Step-by-step explanation:

Debra needs to fit 322 programs into boxes and each box can contain 48. Therefore, we must divide 322 by 48.

322 ÷ 48 ≈ 6.71

We need at least 7 boxes to contain the 322 programs because if we only have 6, then the remaining programs won't be in a box. Therefore, we have to round up to get 7 boxes.

I hope this helps and please mark me as brainliest!

Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament.

Equation:
Answer: p =

Answers

Answer:

31.5p+955.5=1428

p=15

Step-by-step explanation:

31.5p+955.5=1428

−955.5 = −955.5

Subtract 955.5 from both sides

31.5p=

\,\,472.5

472.5

31.5

31.5p

​ =

31.5

472.5

​Divide both sides by 31.5

p=15

The number of equation players the team can bring 15 players to the tournament.

Let's break down the information given in the problem:

Total amount raised: $1428

Cost of renting a bus: $955.50

Budgeted amount per player for meals: $31.50

To determine the number of players the team can bring to the tournament (represented by "p").

The total cost for the bus and meals calculated as follows:

Total Cost = Cost of Bus + (Cost per Player × Number of Players)

Using the given values, we can write this as an equation:

Total Cost = $955.50 + ($31.50 × p)

Now we can set up the equation using the total amount raised:

Total Amount Raised = Total Cost

Substitute the values:

$1428 = $955.50 + ($31.50 × p)

Now, let's solve for "p":

$1428 - $955.50 = $31.50× p

$472.50 = $31.50 × p

To isolate "p," divide both sides by $31.50:

p = $472.50 / $31.50

p = 15

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50 POINTS GIVING BRAINLIEST I NEED HELP ASAP

Answers

Answer:

2. x=35 and x=105 z=180

Step-by-step explanation:

because equalateral

The border of a Susan B. Anthony dollar is in the shape of a regular polygon.

Just answer b:

b. What is the measure of each interior angle of the border? Round your answer to the nearest degree.
The measure of each interior angle is ° .

Answers

I'm not sure but I think this is the answer-
Inside of the polygon= 360 degrees.
Since there are 11 sides, divide 360/11.
That equals= 32.72 degrees.
That wud be the measure of each interior angle.
I hope I'm right :)

You toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.

1. Label each column of rectangles with "Coin toss" or "Spinner."

2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue.




3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."


4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)


5. What is the probability of tossing tails and spinning yellow? (1 point)

Answers

Answer:

If the spinner has an even number of spaces,

1

8

. If the spinner has an odd number of spaces, more information is needed.

Explanation:

The answer depends on whether the spinner has an odd or even number of spaces.

If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is

1

2

. This is also the probability of flipping heads on a coin. And so we have:

1

2

×

1

2

×

1

2

=

1

8

If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 3 spaces on the spinner, the probability of spinning an odd number will be

2

3

. However, if there are 11 spaces, the probability will be

6

11

.

Step-by-step explanation:

The probability of tossing tails and spinning yellow is 1/6.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Outcomes of tossing a coin= {T,H}

Outcomes of spinner={ R,Y,B}

Now, outcomes are in the event "Toss a tails, spin yellow"

= {TY}

probability of tossing tails and spinning yellow,

= 1/2*1/3

= 1/6

Learn more about probability here:

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20 POINTS HEELP-
What is the solution to the equation x + 9.5 = 27.5?
answers
x = 2.9
x = 18
x = 20
x = 37

Answers

Answer:

x=18

Step-by-step explanation:

18 is the answer of you input the choices with 9.5 and add to see which equals 27.5 on a calculator it will be 18

In your own words describe how you would find the volume of a
figure using unit cubes?

pls answer today will give brainliest if correct!<3

Answers

You could find the volume of a figure using unit cubes by placing cubes inside the figure until it is full and counting while you are placing them inside. If that is not an option you can find the measure of the figure by using the cubes to count them. Ex. With a wooden letter block you can black the unit cubes on the bottom to find out the length, place the cubes on the side in 1 layer at the bottom to find the width, then stack them up at the edge of a side to find the height. Once you have found these three numbers you can multiply them to find the volume.

please help as soon as you can <3

Answers

Answer:

D

Step-by-step explanation:

The reason why it's D is because if you can see on the number line it repeats 1/8 once, 5/8 three times, 3/4 once.

Answer:

A is the answer.

Step-by-step explanation:

If you look at it closely, it has 1 x for 1/8, 2x's for 3/8, 3x's for 5/8, and 1 x for 3/4. I hope this helps!

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