Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 envelopes. What was the cost in dollars of each large envelope?
A-$1.42
B- $1.15
C- $0.35
D- $0.63

Answers

Answer 1

The cost in dollars of each large envelope is $1.42.

Two equations can be derived from this question:

14p + 5l = 12 equation 1

10p + 15l = 24.80 equation 2

Where:

p = postcards

l = large envelopes

To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.

140p + 50l = 120 equation 3

140p + 210 = 347.20 equation 4

Subtract equation 3 from 4

227.20 = 160l

Divide both sides of the equation by 160

l = 227.20 / 160

l  = $1.42

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Related Questions

Select the correct answer.
if g(x) =f(1/3x), which statement is true?
If

Answers

Answer:

The statement is true because local maximum exists at x =

Step-by-step explanation:

Answer:

if g(x) =f(1/3x), then both g(x) and f(1/3x) will be considered as same function.

Step-by-step explanation:

Solve for r.
4r–3r=20
r=

Answers

Answer:

20

Step-by-step explanation:

4r - 3r = 20

r = 20

There you go.

Answer:

r = 20

Step-by-step explanation:

Let's solve your equation step-by-step.

4r − 3r = 20

Step 1: Simplify both sides of the equation.

4r − 3r =20

4r + −3r =20

(4r + −3r) =20 (Combine Like Terms)

r = 20

Hope this helps


Does each pair of expressions form an equation when joined with an equals sign?
Select Yes or No for each pair of expressions.
Expressions

(1/3) ² +1 and 2 - 8/9

(1+ 1/5)^2 and 2
16/25

Answers

Equations are expressions with equal values

(1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign(1+ 1/5)^2 and 2  16/25 do not form an equation when joined together with an equals sign

(a) (1/3) ² +1 and 2 - 8/9

Rewrite as:

[tex]\mathbf{(1/3)\² +1 = 2 - 8/9}[/tex]

Evaluate the exponent

[tex]\mathbf{1/9 +1 = 2 - 8/9}[/tex]

Take LCM

[tex]\mathbf{1\frac 19 = \frac{18- 8}{9}}[/tex]

[tex]\mathbf{1\frac 19 = \frac{10}{9}}[/tex]

Simplify

[tex]\mathbf{1\frac 19 = 1\frac{1}{9}}[/tex]

Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign

(b) (1+ 1/5)^2 and 2  16/25

Rewrite as:

[tex]\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}[/tex]

Take LCM

[tex]\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{\frac{36}{25} =2\frac{ 16}{25}}[/tex]

Rewrite as:

[tex]\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}[/tex]

Hence, (1+ 1/5)^2 and 2  16/25 do not form an equation when joined together with an equals sign

Read more about equations at:

https://brainly.com/question/13636476

Answer:

(1/3)^2 + 1 and 2 - 8/9 : Yes

(1 + 1/5)^2 and 2 - 16/25 : No

Tp 3 Work Backwards
1. Bowser, Abby, and Chuckles are 3 dogs with a
combined age of 44. Bowser is 6 years older than
Abby. Abby is 2 years younger than Chuckles, c.
Which expression could be used to find the age of
Chuckles?

Answers

Answer:

Your equation option is possibly in here somewhere.

Step-by-step explanation:

A = C - 2

B = A + 6  → A = B - 6

C - 2 = A = B - 6 → B = C + 4

44 = C + B + A

44 = C + (C + 4) + (C - 2)

44 = 3C + 2

42 = 3C

C = 7

Are the following two lines parallel, perpendicular, neither, or the same line?
3x+4y = 2
4x+3y = 2
what are they?

Answers

Answer:

Neither.

Step-by-step explanation:

Manipulate the formulas into slope-intercept form which is [tex]y=mx+b[/tex].

In order for them to be parallel, m needs to be the same. Perpendicular, m for one needs to be the negative reciprocal of the other [tex]m=-\frac{1}{m}[/tex].

Let's see what we get.

(1)

[tex]3x+4y=2\\4y=-3x+2\\y=-\frac{3}{4}x+1/2[/tex]

(2)

[tex]4x+3y=2\\3y=-4x+2\\y=-\frac{4}{3}x+2/3[/tex]

They are reciprocals, but they are both negative. So, they are not the same line, perpendicular, nor parallel.

Also, you can graph these equations on desmos and see easily that they have none of these relationships.

Help help help please 2 more questions please please

Answers

it is first dilated by 4 and then reflected across the y-axis

Solve for x. x+12√=x√+2

Answers

[tex]x = - \frac{2 \sqrt{3} + 12 }{11} [/tex]

hope it helps

see the attachment for explanation

[tex] \: [/tex]

please help struggling a lot!

Answers

Answer:

- 162, 486, - 1458

Step-by-step explanation:

To find the next term in a geometric sequence , multiply the previous term by the common ratio r

r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then

T₄ = T₃ × - 3 = 54 × - 3 = - 162

T₅ = T₄ × - 3 = 486

T₆ = T₅ × - 3 = - 1458

Which expression is equivalent to the given expression?
5x – 2

A2 – 5x
B 2x – 2 + 3x
C 3 – 5 + 2x
D 5x — 2х

Answers

Answer:

I DON'T KNOW WHERE YOu belong because im in philippines

I choose answer B: 2x-2+3x

If Esteban continues at the same rate, how many miles will he have traveled in 6 hours?



A. 36
B. 300
C. 360
D. 420

Answers

Answer360

Step-by-step explanation:

the interval [2, 4] is divided into n equal subintervals of length delta x. What is delta x (in terms of k and n)

Answers

Each subinterval would have length ∆x = (4 - 2)/n = 2/n

The equilateral triangle with side 12 has altitude

Answers

Answer:

C

Step-by-step explanation:

they are sixty four thousand people at a football game 80% of the people were supporting the home team how many people were supporting the home team ​

Answers

Answer:

51200

Step-by-step explanation:

64000×80%=51200

[tex]\huge\mathfrak{question}[/tex]

they are sixty four thousand people at a football game 80% of the people were supporting the home team how many people were supporting the home team

[tex] \huge \mathfrak step \: by \: step[/tex]

First we will look for how much 80% of 64,000 is.

Lets put our equation

[tex]64000 \times 80 \div 100[/tex]

solve it and we get

[tex]{{\boxed{{51200}}}}}[/tex]

as our answer

The equation of two functions f(x) And g(x) are typed into a graphing calculator to see both graphs on the same coordinate plane. The graphs shown below represents the two functions.
Which are approximate solutions of the equation f(x)=g(x) Select all that apply.
A. 6
B. 0.7
C. 0
D. 4.6

Answers

Answer:

The solution of the equation f(x) = g(x) is the set of all x for which the graphs of f and g intersect. The solution of the inequality f(x) < g(x) is the set of all x for which the graph of f lies below the graph of g

change to mixed number

42/8

Answers

Answer:

42/8= 5 2/8

explanation:

8*5=40  42-40=2

therefore  

42/8= 5 2/8

Answer:

[tex]5 \frac{2}{8} [/tex]

Step-by-step explanation:

Basically, mix number is formed by 3 parts,

They are,

* A whole number

* A numerator

* A denominator

Now lets write this number as a mix number,

First simply divide 42 by 8

[tex] \frac{42}{8} = 5[/tex]

[tex]remainder = 2[/tex]

Now you can write the remainder as a fraction,

[tex] \frac{2}{8} [/tex]

And now you can write the mix number like this,

[tex]5 \frac{2}{8} [/tex]

Hope this helps you.

Let me know if you have any other questions :-)

In Martin's class of 20 students, 4 students report that social studies is their favorite class and 75% of the students report that PE is their favorite class. Show your work to explain how to determine whether more students prefer social studies or PE. (5 points)
pls Help!

Answers

Answer:

More students like PE

Step-by-step explanation:

100÷20=5

1 student = 5%

4×5=20

20% students favourite is social studies

75%>20%

What’s 3 plus 3 please help I don’t the answer

Answers

Answer:

6

Step-by-step explanation:

3+3=6 lolzzz ik u already knew that but im taking dem points!!!

Who could help me out on these questions there is a store to it ! Asap pleaseee

Answers

where is the passage?

can some one awnser this i got 2 more questions for this test.

Answers

Answer:

and question is

Step-by-step explanation:

John has $50 he spent 1/5 of it on a book and 1/10 on a flashlight how much money did he have left​

Answers

He has 35 dollars left

if b=p+5 and a=p^2+10p+1 find an expression that equals 2b+3a in standard form

Answers

Answer:

3p² + 32p + 13

Step-by-step explanation:

Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13

Answer:

3p² + 32p + 13

Step-by-step explanation:

3p² + 32p + 13

1. What is the slope of this graph?
2. What is the y-intercept for the graph?

Answers

Answer:

ndjsjz

Step-by-step explanation:

ujz d d f f f g f tt r r r r r r r r r r0

8nnnnjjj

What is the area of the figure at the right explain how you found your answer

Answers

Answer:

You have a photo to show the work?

Step-by-step explanation:

(-5)⁶ ÷ (-5)⁸
Solution​

Answers

The answer is 1/25. I hope it helps you

please help :( ill give 40 points

Answers

Answer:

1. distance and time are the variables. 2. the variables are related by the speed of the car

Will someone PLEASSSSSSEEEEEEEE help me

Answers

Answer:

C

Step-by-step explanation:

i did the math she needs to wake up at 8:00

What is the y-intercept of the graph of the equation [tex]y=x(1/4) - 2/3[/tex]


A. -2/3

B. 2/3

C. -1/4

D. 1/4

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x - [tex]\frac{2}{3}[/tex] ← is in slope- intercept form

with y- intercept c = - [tex]\frac{2}{3}[/tex] → A

Suppose you plan to take a survey of Math 146 students asked about their overall grades at CBC. 22 students were surveyed, and it was found that the average GPA of the 22 sampled students was a 3.2, with a standard deviation of 0.9 points. Suppose you want to re-sample the population to reduce the margin of error. If you plan to calculate a 90% confidence interval for the true mean GPA of Math students, how many samples would be necessary to reduce the margin of error to 0.2 points?

Answers

Step-by-step explanation:

we have the data set given below here and using it, we want to find the sample mean X. Bar, the sample standard deviation S. And constructed 99% confidence interval for the population we knew, assuming the population is normally distributed. So since we have this data we can find expire and s using the appropriate definitions expire, is that some of the data divided by n 2.353 and s. Is the square root of the sum of deviations of the mean square divided by n minus one. In this case 1.3 Now with X. Bar and sample standard deviation S, we can use a student's t distribution to construct this confidence interval. So we can identify the appropriate T score. So for the degree of freedom and minus one equals 14 and critical values um providing probability 140.99 for the confidence interval,  to identify T C equals 2.977 Now, with this T. C, we can identify the margin of error E, which is given by this formula plugging in our T C. S and N. We obtain E equals 0.572 And now plugging into our confidence interval formula, which is that new falls between a sample mean minus C, and sampling plus E gives us our confidence interval. That new is between 1.781 and 2.9 to 5 with 99% confidence.

whats the answer can someone answer please​

Answers

Answer:

b and c

Step-by-step explanation:

A square piece of paper has a perimeter of 36 cm. What is the area of a square piece of paper with twice that perimeter? *
323 sq.cm
324 sq.cm
81 sq.cm
---------------------
( perimeter = l+ b )
(area = l × w )
(l= length)
(b= breadth )
(w= width) ​

Answers

Answer:

Area= 18 x 18=324 sq.cm

Step-by-step explanation:

p=36 x2=72 (as it is twice that of the original paper)

since it is a square, length of 1 side = 72/4= 18

so, the area = l x l= 18 x 18= 324 sq.cm

Answer:

Area= 18 x 18=324 sq.cm

Step-by-step explanation:

p=36 x2=72 (as it is twice that of the original paper)

Since it is a square, length of 1 side = 72/4= 18

Therefore, the area = l x l= 18 x 18= 324 sq.cm

Hope this helps :)