Carmena and Alicia go to the supply store to purchase packs of
pens and paper. Carmen bought 5 packs of paper and 3 packs
of pens for $36.60. Alicia bought 6 packd of paper and 6
packs of pens for $53.40. What is the price of one pack of
paper and one pack of pens?

Answers

Answer 1

Pens Are 4:95

Paper is 3:95

Answer 2

The prices for both the things are $4.95 and $3.95 respectively.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

Given that,

The price for  5 packs of paper and 3 packs of pens is  $36.60.

And, for 6 packs of paper and 6 packs of pens is  $53.40.

Suppose the price of one paper pack be x and of pens be y.

Then, the given case can be written in terms of equation as,

5x + 3y = 36.60         (1)

6x + 6y = 53.40         (2)

Solve the equations by multiplying equation (1) by 4 and (2) by 2 and then subtracting as follows,

2(6x + 6y) - 4(5x + 3y) =  2 × 53.40 - 4 × 36.60  

=> 12x - 20x = 106.80 - 146.40

=> -8x = -39.60

=> x = 4.95

Substitute x = 4.95 in equation (2) to get,

6 × 4.95 + 6y = 53.40

=> 6y = 53.40 - 29.70

=> y = 23.70/6

       = 3.95

Hence, the prices of one pack of paper and one pack of pens are $4.95 and $3.95 respectively.

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Related Questions

HELP ASAP. I only have 30 minutes left to complete 5 more questions. I will award Brainly and 100pts to whoever can solve this for me. I need help ASAP. This is timed. This is also for a college and high school course. I risk failing if I don't get the correct answer to this. HELP ASAP PLZ. This is slope intercept form

Answers

Answer:

y = 2x - 22

Step-by-step explanation:

y = 2x + 1

Parallel slope: 2

(7, -8)

y - y1 = m(x - x1)

y + 8 = 2(x - 7)

y + 8 = 2x - 14

y = 2x - 22

Answer:

Solution given:

equation of line 1 is:

y=2x+1

2x-y+1=0.......[1]

slope of line 1 is

m1=[tex] \frac{ -coefficient \:of\: x }{coefficient\: of \:y} [/tex]

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

Since the lines are parallel than slope of another line m2=m1=2

It passes through (x1,y1)=(7,-8)

equation of a line is:

(y-y1)=m2(x-x1)(y+8)=2(x-7)y+8=2x-142x-y=8+142x-y=22[tex] \frac{2x}{22} - \frac{y}{22} = 1[/tex][tex] \frac{x}{11} - \frac{y}{22} = 1[/tex]

is a required equation of a line in slope intercept form.

How do you solve this

Answers

You can use photo math

What is the total surface area??Please help me I’m so confused i have a test tomorrow

Answers

214 is the correct answer

Answer:

216 :)

Step-by-step explanation:

There are five sides in total. To find the total surface area we have to find the area of each side.

Let's start off easy with the rectangle at the base. The width and length are 7 and 6, which gives us an area of 42.

The rectangle with dimensions of 8 as the length and 7 as the width gives us an area of 56.

The rectangle with a length of 10 and a width of 7 gives us 70 as an area.

The two triangles are congruent, so all we have to do is find the area of one and multiply it by two. The formula for an area of a triangle is 1/2(bxh)-or the two legs multiplied by each other and then divided by 2. The length of one of the legs is 8, and the other is 6. That gives us 48, which we will then divide by 2 to give us a total area of 24. Now we have to multiply that by two because there are two triangle sides on this figure and they are congruent. That gives us a product of 48.

Now we add up all the areas of each side:

42 + 56 + 70 + 48 = 216

Helppppp Jason was 1.75m tall last year. He grown 11 cm taller this year. How tall is Jason now?

Answers

Answer:

1.86 m

Step-by-step explanation:

11 cm = 0.11 m

1.75 + 0.11 = 1.86

Consider the pair of triangles given below. If MPN ~ XYZ then the length of side PN is?

Answers

Answer:

the answer should be 9, im not sure tho I vaguely remember this


One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit
in an area that is 20 feet wide and 25 feet long.

Answers

An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.

A rectangular prism has a length of 20cm, a height of 17cm, and a width of 6cm. What is its volume, in cubic cm?

Answers

Answer:

2,040cm

Step-by-step explanation:

??? Help me with my work pls

Answers

Answer:

2. 10 + 5 x 2                    $20

3. 10 + 5 x 3                    $25

4. 10 + 5 x 4                    $30

Hope that helps!

Step-by-step explanation:

Answer:

2) 10+5x2= 20

3) 10+5x3= 25

4) 10+5x4= 30

Step-by-step explanation:

just add 5 every time

6= x−15
What does 'X' equal?

Answers

Answer:

x = 21

Step-by-step explanation:

6 = x - 15

x = 6 + 15

x = 21

Hope that helps!

Answer:

x=21

Step-by-step explanation:

move all the terms that don't contain x to the right side and solve.

Given right triangle HJK, which of the
following ratios is equivalent to cosH?

Answers

Answer:

cosH = JH/KH

Step-by-step explanation:

coa refers to base by hypotenuse

for H,

the base is JH and the hypotenuse is KH.

In the given right angled triangle cos H is equivalent to sin K

What is right angled triangle?

A triangle in which one of the interior angles is 90° is called a right triangle

Here,

Cos H =  Adjacent side / Hypotenuse = [tex]\frac{JH}{KH}[/tex]

In the given option

sin K = Opposite side / Hypotenuse[tex]=\frac{JH}{KH}[/tex]

Therefore Cos H is equivalent to the sin K

Hence, sin K is equivalent to the cos H

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Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)

Answers

Answer:

           y - 2 = -3(x - 1)

Step-by-step explanation:

The point-slope form of equation of function passing the point (x₀,y₀) where m is the slope  is:  y - y₀ = m(x - x₀)  

m = -3

(1, 2)     ⇒    x₀ = 1,    y₀ = 2

y - 2 = -3(x - 1)

I need the answer pliss​

Answers

Answer:

Im sorry never did this before

Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,300 just for the laptop. Sean made a 46% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.

Answers

Answer: £137

Step-by-step explanation:

Since Sean sold both items for £1,500 getting £1,300 just for the laptop, the slave price of the printer will be:

= £1500 - £1300

= £200

Since we are informed that Sean made a 46% profit on the cost of the printer, the cost of the printer goes thus:

= £200 /(1 + Profit percent)

= £200 / (1 + 46%)

= £200 / 1.46

= £136.99

= £137 approximately

Write a function that represents the total cost of your family's outing to the soccer game after x hours.

Answers

Answer:

Please attach an image.

f(x) = (cost)x

Answer:

c=s*x

Step-by-step explanation:

C will be the total cost of our family's outing to the soccer game

While x will be the hours

and S will be the soccer game

So s*x will equal the cost

Making c=.

Hope this helps!

:D

How many words does the average 30 month old child understand?

600 to 700 words

700 to 800 words

800 to 900 words

900 to 1000 words

Answers

Answer:

600 to 700 words, i believe that's the answer...

Step-by-step explanation:

i really hope this helps :)

600 to 700 hope it helped

Help!
This is for Patterns, Functions, and Algebra!

Answers

Answer:

C.

Step-by-step explanation:

The answer is C

What type of function can be used to model the scenario?


Burton Guster invests $15,000 into an account that earns 6.5% compounded annually.




Linear



Exponential



Quadratic




2. What type of function can be used to model the scenario?


Jack adds 2 quarters to his piggy bank each week.




Linear



Exponential



Quadratic

Answers

Answer:

1. Exponential

2. Linear

Step-by-step explanation:

1. Exponential

Principal = 15000

Rate, r = 6.5% compounded annually

A = P(1 + r)^t

A = 15000(1 + 0.065)^t

A = 15000(1.065)^t

2. Linear

Let initial amount in bank = x

Amount added per week = 2

Number of weeks or period = t

A = x + 2t

If A=D and C=F, which additional statement does NOT alloy you to conclude that ABC=DEF

Answers

Answer:

A

Step-by-step explanation:

i think its a because its saying which one does not allow you to conclude that both triangles are congruent but the other ones are talking the sides and a is the only one thats talking about the angles. so i dont really know if its right but thats just an educated guess.

Write the number in 2 equivalent forms as a​ fraction, decimal, or percent.0.40

Answers

Answer:

2/5 or 40%

Step-by-step explanation:

.40 is 40 hundredths or 40/100

40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5

Percentages are fractions out of 100 so 40/100 would be 40%.

A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit

Answers

Answer:

He is making 20 naira profit for every 4 cups that he sells for 100 naira

Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira

4. Phil bought a block of cheese in the shape of a triangular prism measuring 8 inches by 4 inches by 2 inches. What is the volume of the block of cheese?

Answers

Answer:

32 inches^3

Step-by-step explanation:

Volume = 1/2 ( base x height x length)

0.5 ( 4 x 2 x 8) = 32 inches^3

Number m less than 5

Answers

Answer:

....

Step-by-step explanation:

Answer: 1, 2, 3, 4.

Step-by-step explanation: When you count to five, the numbers that are listed above, (1, 2, 3, 4) are the right answers

Is the discriminant of G positive zero or negative

Answers

Answer: The answer is 0 because if it was negative, there are no solutions and if the discriminant is equal to zero we have a solution. can you give me brainliest

Step-by-step explanation:

identify the zeros of the polynomial function .

Answers

Step-by-step explanation:

To start, every term has an

x

in common, so we can factor that out. Doing this, we get

x

(

x

2

+

x

42

)

=

0

What I have in blue can be factored by a thought experiment. What two numbers have a sum of

1

and a product of

42

?

After some trial and error, we arrive at

6

and

7

. Thus, this business can be factored as

x

(

x

6

)

(

x

+

7

)

=

0

We can leverage the zero product property here, setting all three terms equal to zero. As our zeroes, we get

x

=

0

,

x

=

6

, and

x

=

7

Help me with this!!!!

Answers

Answer:Really I just answered this for you. What you don't believe me? It's 30

the product of 700 and 4000 expressed in scientific notation is

Answers

Answer:

caca

Step-by-step explanation:

caca

The answer is 2.8x10^6

A require 2/3 cup of sugar to make a cake what is maximum number of cakes that can be made using 1/2​

Answers

Answer:

0 cakes

Step-by-step explanation:

1/2 is 0.5 cups.

2/3 cups is roughly 0.67.

If it requires 0.67 cups of sugar and you have 0.5 cups, you don't have enough for a single cake.

ang answer jan ay .............stick o

Yep pls ASAP


Fifufhucuwhhciw

Answers

Answer:

10 2 28

9 3 30

8 4 32

7 5 34

6 6 36

Question should guns be allowed to be at school for example can a security guard have a gun?

Answers

Answer: First secutitys at my school dont even have nothing but a walkie talkies in there hands but I will say this we have cops walking around inside of our school and there all armed up because obvisouly their cops so i would think not security should not have a fire arm because what happens if a old lady a securrityguard she cant move fast so I think not they would have to deal it with by hand and there walkie talkies.

Step-by-step explanation:

Answer:no because they might be part of a crime and shoot up the school like boom bang bin bot pow and 500 people drop dead like me in the bed room.

Step-by-step explanation:

find the area of the rectilinear

Answers

Answer:

52cm^2

Step-by-step explanation:

I did the splitting in my head and that's pretty hard to explain like this so, just BTW if your confused on where I got my lengths from.

(7*6) + (5*2)

(42) + (10)

52

I separated them into an almost square and a rectangle, then I found the area of each rectangle and then added them together.

Hopefully this was useful and you didn't have any issues with this!

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