1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
patriot [66]
3 years ago
13

HELP MEEEEEEEEEE Package A contains 3 birthday cards and 2 thank-you notes and costs $9.60. Package B contains 8 birthday cards

and 6 thank-you notes and costs $26.60. If x represents the cost of a birthday card and y represents the cost of a thank-you note, how much does each birthday card cost?{3x+2y=9.6 8x+6y=29.6 a $1.33 b $1.50 c $2.20 d $3.10
Mathematics
2 answers:
STatiana [176]3 years ago
8 0

Answer:  The correct option is

(c) $2.20.

Step-by-step explanation:  Given that package A contains 3 birthday cards and 2 thank-you notes and costs $9.60. Package B contains 8 birthday cards and 6 thank-you notes and costs $26.60.

Also, x represents the cost of a birthday card and y represents the cost of a thank-you note.

We are to find the cost of each birthday card.

The system of linear equations representing the given situation is given by

3x+2y=9.60~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\8x+6y=26.60~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Multiplying equation (i) by 3, we have

3(3x+2y)=3\times9.60\\\\\Rightarrow 9x+6y=28.80~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Subtracting equation (ii) from (iii), we get

(9x+6y)-(8x+6y)=28.80-26.60\\\\\Rightarrow x=2.20.

Thus, the cost of each birthday card is $2.20

Option (c) is CORRECT.

hodyreva [135]3 years ago
6 0

Answer:

Each birthday card costs $2.2 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- Package A contains 3 birthday cards and 2 thank-you notes

- It costs $9.60

- Package B contains 8 birthday cards and 6 thank-you notes

- It costs $26.60

- x represents the cost of birthday card and y represents the cost of

 thank-you note

* Lets change these information to two equations

∵ x represents the cost of each birthday cards

∵ y represents the cost of each thank-you notes

∵ Bag A contains 3 birthday cards and 2 thank-you notes

∵ Bag A costs $9.60

∴ 3x + 2y = 9.60 ⇒ (1)

∵ Bag B contains 8 birthday cards and 6 thank-you notes

∵ Bag B costs $26.60

∴ 8x + 6y = 26.60 ⇒ (2)

* Lets solve this system of equations to find x and y

- Multiply equation (1) by -3 to eliminate y

∵ -3(3x) + -3(2y) = -3(9.60)

∴ -9x - 6y = -28.8 ⇒ (3)

- Add equations (2) and (3)

∴ -x = -2.2

- Multiply both sides by -1

∴ x = 2.2

∵ x represents the cost of each birthday cards

∴ The cost of each birthday card is $2.2

* Each birthday card costs $2.2

You might be interested in
BRAINLIEST PLUS 30 points IF CORRECT. NO SPAMMING OR LINKS.
Contact [7]

Answer:

answer: 1/8

Step-by-step explanation:

because the probability of getting a nickel is 2/4 and the probability of getting a quarter is 1/4 now when I multiply them together 2/4 × 1/4 = 1/8 Hope that helps!

5 0
3 years ago
Help fast please I going to fail
Scilla [17]

Answer:

  1. 0.5
  2. 0.25
  3. 0.4
  4. 1.05
  5. 0.05
  6. Hope this helps
4 0
3 years ago
Question 3 of 10
Galina-37 [17]

Answer:

Car leasing

Step-by-step explanation:

Im not exactly sure but this may be helpful

Car ownership is literally being the owner of the car and paying it full. Car financing is the one ive not heard of before. Car maintenance is literally caring and looking after the car. I know leasing is like giving out so im hoping its like that

4 0
2 years ago
On a scale drawing, 1 millimeter is 5 meters. If a line on the drawing is 4.5 centimeters, how many meters is it actually?
snow_lady [41]
We know 4.5 cm = 45 mm so all we have to do is 45 mm*5 to get 225 meters. Your answer would be: This is actually 225 meters. Hope this helps!
4 0
3 years ago
while preparing for a morning conference, principal corsetti is laying out 15 dozen bagels on square plates. each plate can hold
Vlad [161]
Do 15x12 then divide your answer by 14
6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the equation - x/16=-7/8
    5·1 answer
  • Which algebraic expression represents this phase the product of 50 and the number of employees
    7·1 answer
  • I NEED HELP PLZ OK plz plz
    9·2 answers
  • Use the graph of the function f to determine f(x)
    13·1 answer
  • Can u help me plz plz plz plz
    9·1 answer
  • MYP 1 Mathematics Unit 4 Summative Assessment; An example please!
    5·1 answer
  • Please answer this correctly
    5·1 answer
  • Can someone try to help me and explain it for me
    11·2 answers
  • Need help ASAP !!!!!
    15·1 answer
  • Aisha just took a math test consisting of 20 total questions (all worth the same
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!