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

Answers

Answer 1

Answer:

paper clips = $1.85

index cards = $3.95

Step-by-step explanation:

Mark

12 paper clips = x

10 index cards = y

$61.70 total

Janice

15 paper clips = x

7 index cards = y

$55.40 total

12x + 10y = 61.70

15x + 7y   = 55.40

*** you want to cancel out one of the letters

(12x + 10y = 61.70) * -7

(15x + 7y   = 55.40) * 10

-84x -70y = -431.9

150x + 70y = 554.0

150x + 70y = 554.0

-84x -70y = -431.9

66x + 0 = 122.1

66x = 122.1

x = 122.1 ÷ 66

x = 1.85

plug it back in

15(1.85) + 7y   = 55.40

27.75 + 7y   = 55.40

7y   = 55.40 - 27.75

7y = 27.65

y = 27.65 ÷ 7

y = 3.95


Related Questions

Write the following expression in exponential form:
16x16x16x1.6
0416
0164
16x4
O 16+ 4

Answers

Answer:

16x16x16x1.6

Step-by-step explanation:

here's your answer hope it helps you

Someone help me please !!!!!

Answers

Answer:

a=15 and x=7

Step-by-step explanation:

first we need to plug in the number to the variable than we try to get a and x by themselves.

Which is a simplified form of the expression 3a + 7 – a – 7?
A. 2a
B. 4a
C. 2a + 14
D. 4a - 14

Answers

Answer:

A. 2a

Step-by-step explanation:

imagine an imaginary 1 in front of the a

3a + 7 – 1a 7

subtract numbers without variables

3a + 7 – a – 7

3a-1a

subtract 1a from 3a

2a

Answer:

A. 2a

Step-by-step explanation:

3a + 7 - a + 7

= 3a - a + 7 - 7

= 2a + 0

= 2a

work out the area of a circle with a diameter of 1.8

Answers

The area of a circle is calculated by doing πr^2.

The radius (r) is half of the diameter.

So you do 1.8/2=0.9.

Then π x 0.9^2.

The answer is 2.54469004941.

Round this to your needed decimal place. If there is none, I would round to two decimal places so the answer would be 2.54.

someone please help me with this problem ​

Answers

Answer:

It has to be...

Step-by-step explanation:

$55*x because that will be the total

Write the equation of 2 lines passing through the point (2, 14).

Answers

Answer:

Since, the given solution is (2, 14). Therefore, 7x−y=0. Similarly, another equation can be−x+y=−2+14=12. Similarly, another equation can be−2x−y=−2(2)−14=18.

Which is the equation of a line parallel to the line with the equation: y = 14x + 2

y = -4x - 7

y = 4x + 2

y = 14x − 12

y = −14x + 3

Answers

Hi!

y = ax + b

y = 14x + 2 → a = 14 ∧ b = 2

Parallel lines have the same slope factor (a) so line parallel to the line with the equation y = 14x + 2 will be y = 14x - 12

A new school has x day students and y boarding students.
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720 000 a term.
Show that this information can be written as x + 2y ≥ 1200.​

Answers

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as [tex]x + 2y\geq 1200[/tex].​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are [tex]\$600[/tex] a term.

So, the fees for [tex]x[/tex] day students are [tex]\$600x[/tex] a term.

The fees for a boarding student are [tex]\$1200[/tex] a term.

The fees for [tex]y[/tex] boarding student are [tex]\$1200y[/tex] a term.

Total fees for [tex]x[/tex] day students and [tex]y[/tex] boarding student is:

[tex]\text{Total fees}=600x+1200y[/tex]

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

[tex]600x+1200y\geq 720000[/tex]

[tex]600(x+2y)\geq 720000[/tex]

Divide both sides by 600.

[tex]\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}[/tex]

[tex]x+2y\geq 1200[/tex]

Hence proved.

Sandra y José son dos amigos que se encuentran en diferentes partes de la ciudad de Lima (Observa el plano), la distancia que los separa en el plano es de 7 cm ellos quisieran saber ¿Cuál es la distancia real en metros que los separa? Sabiendo que el plano ha sido dibujado a escala 1: 20 000.

Answers

Respuesta:

1,4 kilometros

Explicación paso a paso:

Dado que :

Distancia que separa a Sandra y José en el mapa = 7cm

Dibujo a escala = 1: 20.000; Esto se puede interpretar en el sentido de que 1 cm en el mapa equivale a 20.000 cm en el suelo.

Por tanto, una distancia de 7 cm en el mapa será:

20.000 * 7 = 140.000 cm en el suelo = distancia real

Por lo tanto, la distancia real = 140.000 cm.

Recordar :

1 cm = 10 ^ -5 km

140000 cm = 1.4 kilometros

Por lo tanto, la distancia real entre Sandra y José es de 1,4 km.

Help pls it’s the last day of summer school

Answers

2 1/3 and it is the same for me lol

tengo estos problemas de algebra alguien que me atude porfavor !?

Answers

Answer:

I think 3 but I am not pretty sure man .

Bonjour,

x est un nombre d'ordinateurs: il est donc un naturel (x € N)

y is the pay cost : y=3*x ==> y€ 3N ⊂ N

Answer last reply : 4.

PLEASE HELP!!! Which choice is a solution to the system of equations below?

A. There are infinitely many solutions

B. (-4, 1)

C. (4, -1)

D. (3, 4)

Answers

Answer:

A.

Step-by-step explanation:

4y = 12x + 16

3x = y - 4

=>

y = 3x + 4

using that in the first equation

4(3x+4) = 12x + 16

12x + 16 = 12x + 16

=> both lines/equations are identical, so they have infinitely many solutions.

x + y = 3, 4y = -4x - 4
System of Equations

Answers

Answer:

no solutions

Step-by-step explanation:

Hi there!

We're given this system of equations:

x+y=3

4y=-4x-4

and we need to solve it (find the point where the lines intersect, as these are linear equations)

let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable

we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4

y=-x-1

now we have y set as an expression containing x

substitute -x-1 as y in x+y=3 to solve for x

x+-x-1=3

combine like terms

-1=3

This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.

Therefore the answer is no solutions

Hope this helps! :)

The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution

the median of 2,8,6,10,4,12​

Answers

Answer: 6

Step-by-step explanation: 6 is a median

Hey there!

To find your mean you have to put the numbers from descending (least/decreasing) to ascending (greater/increasing) order

Median is also understood as the “middle number”

2, 8, 6, 10, 4, 12​

= 2, 4, 6, 8, 10, 12

Based on that information, you have in your new data set you have 2 pairs in the middle (6 & 8), so you’ll have to total/average of the number. We have to DIVIDE them by 2 because it’s 2 numbers

6 ends the descending set and 8 starts the ascending set

Median = 6 + 8 / 2

6 + 8 = 14

= 14/2

= 7

Answer: therefore your MEDIAN is most likely 7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Use the distributive property to write the next step in simplifying the numerical expression. Use the asterisk symbol (*) to represent multiplication. Do not multiply factors fully and do not use spaces. 4(x + 9)​

Answers

Answer:

This is the expression:

4*x+4*9

find x
(4x - 3) – ( x + 5) = 3(10 - x)
please.....

Answers

Answer: 19/3

Step-by-step explanation:

[tex]4x+3-x-5=30-3x\\\\3x-8=30-3x\\\\6x-8=30\\\\6x=38\\\\x=\frac{19}{3}[/tex]

Find the distance between each pair of points whose coordinates are given. Round to the nearest tenth if necessary.​

Answers

Answer:

5.8

Step-by-step explanation:

Y e s .

Using the Distance formula and all.

Drag each shape to the correct category. Identify which shapes are similar to shape A and which are not.

Answers

I need to see the photo

PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:


A) (.....+2a)^2=.....+12ab+4*....


B) (3x+.....)^2=....*x^2+.....+49y^2

Answers

Answer:

I only have the answer for B

Step-by-step explanation:

This is the answer: 1st blank: 7y

2nd blank: 9

3rd blank: 42xy

Given the function f(x) = -5|x + 1 + 3, for what values of x is f(x) = -12?
O x = -2x = 4
O x = -2, x = 4
O x = 2, X= 4
O x= 2 X= 4

Answers

F(x) = - 5(x+1+3)

or, - 12= - 5x-5-15

or, - 12= - 5x-20

or, - 12+20= - 5x

or, 8= - 5x

or, x= 8÷-5

Also,

F(x)= - 5(x+1+3)

or, f(8÷-5)= - 5(8÷-5+1+3)

= - 5(8-5-15÷-5)

= - 5×-12÷-5

= - 12 #

Help! This is so hard!

Answers

1.4

2.8

3.7 by 10

*Others do by your self*

Step-by-step explanation:

1. 3×4/3= 4

2.⅖×20=8

3.6/5×7/18=7/15

4.10/7×9/5=18/7= 2 4/7. Mixed Fraction

5.4/15×25/8=5/6

6.6×¾= 9/2= 4 1/2. Mixed Fraction

Grace earned £32,000 last year. She worked for 35 hours a week for 50 weeks. Calculate her pay per hour. Give your answer to 2 decimal places.

Answers

Answer:

18.29

Step-by-step explanation:

32000 ÷ 35 ÷ 50 = 18.2857143

The answer is £20.00 per hour.

∣1/12 − 5/6∣ − (2/5 + 1/10)

I WILL GIVE BRAINLYST

Answers

Answer:

forst mark me as a brainleast

Help im stuck on this problem

Answers

Answer:

J.

[tex]{ \bf{m \angle A}} = { \bf{180 \degree -48 \degree }} \\ { \tt{m \angle A = 132 \degree}}[/tex]

Factorise this equasion
X^2-5



Answers

Answer:

(x - [tex]\sqrt{5}[/tex] )(x + [tex]\sqrt{5}[/tex] )

Step-by-step explanation:

x² - 5 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 5

= x² - ([tex]\sqrt{5}[/tex] )²

= (x - [tex]\sqrt{5}[/tex] )(x + [tex]\sqrt{5}[/tex] )

Find the measure of the indicated angle measurements

Answers

Answer:

70°

Step-by-step explanation:

(180-40)/2

= 140/2

= 70

Answered by GAUTHMATH

(13+29-2)÷2
show your work​

Answers

Answer:

[tex](13 + 29 - 2) \div 2 \\ (42 -2 ) \div 2 \\ 40 \div 2 \\ = 20[/tex]

Answer:

(13+29-2)÷240÷220

hope it helps.

stay safe healthy and happy..

What is the area of this figure

Help please!!!!

Answers

Answer:

the area is 279 mm squared

Step-by-step explanation:

The area is 279 mm

Explanation

hamood spelled backwards is hamood also let me know if u want my account by 12 AM PDT 6/2/21

Answers

Answer:

yo congratulations on finishing 10th grade (congratulate me on finishing 8th)

hamood spelled backwards is doomah so...um...

also do u mean 7/2/21..bc 6/2/21 is like in June and we're in July

Find f(2) if f(x) = (x + 1)^2.
9
6
5

Answers

Answer:

9

Step-by-step explanation:

f(2)=(2+1)^2

(3)^2

(9)

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