All categories

2 years ago

Package A contains 3 birthday cards and 2 thank-you notes and costs $9.60 Package B contains 8 birthday cards and 6

Mathematics

2 answers:

dsp732 years ago

6 0

Answer:

Its c on eng i think

Step-by-step explanation:

vredina [299]2 years ago

4 0

Answer:

The cost of a birthday card is $2.2

Step-by-step explanation:

Let

x-----> represents the cost of a birthday card

y ----> represents the cost of a thank-you note

we know that

Package A

3x+2y=9.60

2y=9.60-3x

Multiply by 3 both sides

3(2y)=3(9.60-3x)

6y=28.80-9x -----> equation A

Package B

8x+6y=26.60 -----> equation B

Solve the system by substitution

Substitute equation A in equation B and solve for x

8x+(28.80-9x)=26.60

9x-8x=28.80-26.60

x=2.2

Find the value of y (equation A)

6y=28.80-9x

substitute the value of x and solve for y

6y=28.80-9(2.2)

6y=9

y=1.5

The solution is the point (2.2,1.5)

therefore

The cost of a birthday card is $2.2

You might be interested in

A bucket holds 84.5 ounces of water. How much is this in liters?

Nostrana [21]

84.5 ounces = 2.4 litres

5 0

2 years ago

Read 2 more answers

Two trains travel a 160 km track each day. The express travels 10 km h^-1 faster and take 30 minutes less time than the normal t

aniked [119]

Let s = the speed of the slower train in km/hrs+10 = the speed of the faster train in km/hrLet t = time in hrs for the slower train to go 160 kmt-5 = time in hrs for faster train to go 160 km---------------Slower train:(1)
160=s.t

Faster train:(2) 160=(s+10) .(t-.5)From (1)(1) t=160/s
use the relations given in following screenshot and then use quadratic equation.

4 0

3 years ago

Please write the function(x) from the given rules:a. Twice the input value plus three. B. The input value minus five. C. To get

Bas_tet [7]

Answer:

A) f(x) = 2x + 3

B) f(x) = x - 5

C) f(x) = 2x + 4

Step-by-step explanation:

To find - Please write the function(x) from the given rules:

A) Twice the input value plus three.

B) The input value minus five.

C) To get the output, multiply the input by two, then add four.

Proof -

Let us assume that the input = x

The output = f(x)

Now,

f(x) = 2x + 3

f(x) = x - 5

f(x) = 2x + 4

8 0

2 years ago

I need to find how many solutions does the system have.

REY [17]

From what I got there is one real solution :)

Rearrange the second equation to give y=2-2x, substitute into the first equation to give you a value for x and then using that you can work out y for the exact coordinates of intersection :)

Also they are both straight line graphs so they will either have one or no solutions

Hope this helped :)

4 0

2 years ago

6. If four numbers are in proportion, then the terms equals the product of<br>

snow_tiger [21]

Answer: If four numbers are proportional, a : b = c : d, then the product of the extremes is equal to the product of the means. ad = bc

3 0

1 year ago