A used book store is selling 3 records and 5 CDs for $60. You can also buy 6 records and 4 CDs for $80. Find the cost of one CD. Write the linear system that describes this situation.​

Answers

Answer 1

9514 1404 393

Answer:

  3r +5c = 60

  6r +4c = 80

Step-by-step explanation:

There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.

Let r and c represent the costs of a record and a CD, respectively.

  3r +5c = 60 . . . . . . . the value of the first purchase

  6r +4c = 80 . . . . . . . the value of the second purchase

These equations comprise a linear system describing an aspect of the situation.

_____

Comment on the question

The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).


Related Questions

Giving more a lot of points!

What is 3 /1 ​÷3

Answers

Answer:

3

Step-by-step explanation:

Latoya buys a board that is 8 feet long. She cuts 3 1/2 feet off to make a shelf , and 2 feet off to make a sign. She divides the rest equally to make 2 trays. What is the length of one tray, in inches?​

Answers

Answer:

1 1/4 feet

Step-by-step explanation:

3 1/2 feet + 2 feet = 5 1/2 - 8 = 2 1/2 ÷ 2 = 1 1/4

c ÷ 3/4 = 4. whats c?

Answers

Answer:

3

Step-by-step explanation:

when a division crosse's an equal sin it becomes a multiplication

If a factor of a polynomial is x-5, what is the zero?​

Answers

Answer:

x = 5

Step-by-step explanation:

Because the factor of the polynomial is x - 5, we can infer that the zero would be the solution of this equation: x - 5 = 0

Therefore, the zero is x = 5.

3√x^2
I need to write this as a fractional exponent.​

Answers

[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]

[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]

I do not know which one you mean but still one of them is still your answer. :)

help plssss <333 will mark brainliest if correct

Answers

Answer:

-3

Step-by-step explanation:

it might not be correct, the site I use for math glitches sometimes

Answer:

x=1

Step-by-step explanation:

its right :)

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

12

Step-by-step explanation:

x is the height, and we notice that this isosceles triangle is two 5-12-13 triangles put together. Therefore, x = 12

Another method. Use pythagorean theorem. x^2 + (10/2)^2 = 13^2

x^2 + 25 = 169

x^2 = 144

x = 12

Can someone solve for x and y

Answers

Answer

Calculator.net

i hope you use this it will help a lot

I need help please please I appreciate it! ):

Answers

Answer:

!. Scale factor = 5

2. Scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

scale = [tex]\frac{length in drawing}{actual length}[/tex]

1. To increase the numbers, let the scale factor be [tex]\frac{5}{1}[/tex] = 5. So that;

0.05 x 5 = 0.25

[tex]\frac{1}{2}[/tex] x 5 = 0.5 x 5 = 2.50

7 x 5 = 35.00

13 x 5 = 65.00

25 x 5 = 125.00

102 x 5 = 510.00

2. To decrease the numbers, let the scale factor be [tex]\frac{1}{5}[/tex]. So that;

0.05 x [tex]\frac{1}{5}[/tex] = 0.01

[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{5}[/tex] = 0.5 x [tex]\frac{1}{5}[/tex] = 0.10

7 x [tex]\frac{1}{5}[/tex] = 1.40

13 x [tex]\frac{1}{5}[/tex] = 2.60

25 x [tex]\frac{1}{5}[/tex] = 5.00

102 x [tex]\frac{1}{5}[/tex] = 20.40

Meadow purchased a pair of jeans for $49.99 and a shirt for $19.99. How much money did Meadow spend?

Answers

Answer:

69.89-exact

70-rounding up

Answer:

She spent $69.98

Step-by-step explanation:

49.99 + 19.99 = 69.98 because people place .99 at the end of the cost in order to try to confuse customers that they are getting a better price then they really are, this is true because since many people read left to right, they  will see the smaller number first, and they see the bigger number last, makin them believe its a better price. when at the end of a number lies a .99 it only counts as .99 not 1.00, thus this information is what helped me find my answer.

55 x 32 / 32 PLEASE HELPP

Answers

Answer:

55

Step-by-step explanation:

Answer : 55

Step by step explanation use PEMDAS

55/1 = 55

In the equation y=2x+3,y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?

Answers

Answer:

C. Your team plays 3 preseason games.

Step-by-step explanation:

In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer.  The variable x represents the number of weeks in the regular season.  Which statement is true?  

 

A. The regular season lasts 2 weeks.  

B. The preseason lasts 2 weeks.  

C. Your team plays 3 preseason games.  

D. Your team plays 3 regular season games each week.

Solution:

The equation for a linear function is given as:

y = mx + b;

where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.

Given that y = 2x + 3;

The slope (m) = 2 and the y intercept (b) = 3

This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.

In a right-angled triangle ,right angled at B,if AB=5cm andAC=13cm ,then BC=

Answers

I’ve attached my work below...
Hope it helps!

Answer:

BC = 12cm

Step-by-step explanation:

by phythagoras theorm

AB² + BC² = AC²

5² + BC² = 13²

25 + BC² = 169

BC² = 169 - 25

BC² = 144

BC = √144

BC = 12cm

I have a test tmrw pls help

Answers

The answer is 5x -2y = 3

So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:

y-6=2.5(x-3)

y-6=2.5x-7.5

-2.5x+y=1.5

pls help me!
(7th grade math)
help is very much appreciated :)

Answers

Answer:

If we are working with numbers 26m, 24m, 20m, 26m, 39m

Than the surface area of the shape would be 0.24

Work:

3.46 × 106 = 366.76

366.76 + 20 =386.76

386.76 in square meters is 0.24

Sam bought an $85.00 jacket for 40% off of the regular price. How much did ge pay for the jacket?

Answers

Answer:

i think he payed 34 since 40 percent of 85 is 34.

Step-by-step explanation:

To find the discount price, multiply the original price ($85) by the discount ( 100-40=60): 85 x 0.6= $51 is what he paid.

i need help learning how to find the nth term in sequences like 8,6,4,2?
i haven’t a clue how to solve things like this and i have a test tomorrow

Answers

Answer:

-8

Step-by-step explanation:

Its actually simple once you get the basics

Find out the difference between the first two digits given e.g 8,6: the difference is 2 so you check if it's the same difference e.g 6,4: the difference is also 2 so you keep subtracting or adding 2 as the case may be.

can somebody please solve for x and y, if you get the answers correct I'll give you extra points ​

Answers

Answer:

1) x = 18 2) x = 7

Step-by-step explanation:

Edit: Decided to solve the second too! :)

1)

12/16 = x/(x+6)

12x + 72 = 16x

72 = 4x

x = 18

2)

(-4 + 4x)/64 = 27/72

-288 + 288x = 1,728

288x = 2,016

x = 7

4kg of cheese costs £10.80 how much would 3kg cost

Answers

Answer:

£8.10

Step-by-step explanation:

Divide £10.80 by 4 to find the cost of 1 Kg, then multiply this by 3

£10.80 ÷ 4 = £2.70 ← cost of 1 Kg , then

cost of 3 Kg = 3 × £2.70 = £8.10

Answer:

it may helps......

Step-by-step explanation:

we can solve it by unitary method....So,

Cheese (in Kg). Cost (in Rs)

4kg 10.80

3kg X

Now, 4×x = 3×10.80

X=3×10.80/4 (by transposing)

X=2.7×3

X= 8.1 Answer

Mark it as brainlist

A store pays $433.78 for a robot. The store marks up the price by 50%. What is the new price?​

Answers

what’s the gross margin?

HELP ASAP WILL MARK BRAINLIST
Find the surface area

Answers

34 is the answer I think hope this helps

Answer:

24

Step-by-step explanation:

First we need to find the area on one square which is 2*2 which is 4. So now we have 5 more cubes like this and we have to add all their areas to find the surface area so we make a multiplicaction sentence :

4*6=24

The park service that administers a state park estimates that there are 495 deer in the park. They decide to remove deer according to the differential equation dP/dt = −0.1P.

a. Show that the solution to the differential equation dP/dt = −0.1P is P = 495e^−0.1t , where t is measured in years and P is the population of deer. Use it to find the deer population in 5 years to the nearest deer.

b. After this 5-year period, no human intervention is taken and the deer population grows again. From that time, the deer population increases directly proportional to 650−P, where the constant of proportionality is k. Find an equation for the deer population P(t) in terms of t and k for this 5-year period.

c. Using the growth model from part b), 1 year later the deer population is 350. Find k.

d. Using the growth model from part b) and the value of k from part c), find lim t→∞ P(t)

Answers

The deer population in 5 years is approximately 294 deer.

What are exponential growth and decay?

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

a. To solve the differential equation dP/dt = −0.1P, we can separate the variables and integrate:

dP/P = −0.1 dt

Integrating both sides gives:

ln|P| = −0.1t + C

where C is the constant of integration. To solve for C, we can use the initial condition that P = 495 when t = 0:

ln|495| = −0.1(0) + C

C = ln|495|

Substituting this value of C back into the equation gives:

ln|P| = −0.1t + ln|495|

Simplifying using logarithm properties, we get:

ln|P/495| = −0.1t

Exponentiating both sides gives:

|P/495| = e^−0.1t

Taking the absolute value off and multiplying both sides by 495, we get:

P = 495e^−0.1t

To find the deer population in 5 years, we can substitute t = 5 into the equation:

[tex]P = 495e^{-0.1(5)} = 294[/tex] deer (rounded to the nearest deer).

Therefore, the deer population in 5 years is approximately 294 deer.

b. To find an equation for the deer population P(t) in terms of t and k for the period after 5 years, we can use the differential equation:

dP/dt = k(650−P)

Separating the variables and integrating, we get:

∫dP/(650−P) = ∫k dt

Using partial fraction decomposition and integrating, we get:

ln|650−P| = −kt + C

where C is the constant of integration. To solve for C, we can use the initial condition that P = 294 when t = 5:

ln|650−294| = −k(5) + C

C = ln|356| + 5k

Substituting this value of C back into the equation gives:

ln|650−P| = −kt + ln|356| + 5k

Simplifying using logarithm properties, we get:

ln|(650−P)/356| = −kt

Exponentiating both sides gives:

[tex]|(650-P)/356| = e^{-kt[/tex]

Taking the absolute value off and multiplying both sides by 356, we get:

[tex]650-P = 356e^{-kt[/tex]

Solving for P gives:

[tex]P = 650-356e^{-kt[/tex]

Therefore, the equation for the deer population P(t) in terms of t and k for the period after 5 years is P = 650−356e^−kt.

c. Using the growth model from part b), if the deer population is 350 one year later, we can substitute t = 1 and P = 350 into the equation and solve for k:

350 = 650−356e^−k

Solving for [tex]e^{-k[/tex] gives:

[tex]e^{-k = (650-350)/356 = 3/2[/tex]

Taking the natural logarithm of both sides gives:

−k = ln(3/2)

Solving for k gives:

k = −ln(3/2) ≈ 0.4055

Therefore, k ≈ 0.4055.

d. Using the growth model from part b) and the value of k from part c), the long-term behavior of the deer population as t → ∞ is determined by the limit:

lim P(t) as t → ∞

We can use the fact that [tex]e^{-kt[/tex]approaches 0 as t →

Learn more about exponential growth and decay here:

https://brainly.com/question/17161065

#SPJ2

PLEASE HELP PLEASE ASAP​

Answers

Answer:

60ft

Step-by-step explanation:

multiply all the #

Which of the following is another way of expressing 4 out of 5

Answers

Answer:

4/5

Step-by-step explanation:

I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.

In other forms like ratio 4:5 ratio 4/5 fractions

Mr. Monrean had three sheets of stickers. He gave 20 stickers from each sheet to his students and has 12 total stickers left. Write and solve an equation to find the total number of stickers s there were originally on each sheet.

Answers

Answer:

the total number of stickers is 24

Step-by-step explanation:

The computation of the total number of stickers is shown below

Let us assume the total no of stickers be x

Now as per the question, the equation is

3(x - 20) = 12

3x - 60 = 12

3x = 12 + 60

3x = 72

x = 24

Hence, the total number of stickers is 24


√5 is between _________ and __________.

-√30 is between _________ and _________.

-√15 is between __________ and _________.

√18 is between __________ and __________.

√72 is between __________ and __________.

-√125 is between _________ and __________.​

Answers

Answer:

2 and 3, -5 and -6, -3 and -4

Step-by-step explanation:

list all of your perfect squares

[tex]\sqrt{1}, \sqrt{4} ,\sqrt{9} , \sqrt{16} , ...\\[/tex]

So [tex]\sqrt{5}[/tex] is between [tex]\sqrt{4} and \sqrt{9}[/tex] so it is between 2 and 3

If that is a negative [tex]\sqrt{30}[/tex] then it is between square root of 25 and 36, which would be -5 and -6

-[tex]\sqrt{15}[/tex] is between  [tex]\sqrt{9} and \sqrt{16}[/tex] so -3 and -4

Please Help ill make brainliest 15 points

A:149
B:153
C:225
D:297

Answers

Answer: 225 square feet

Step-by-step explanation:

We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.

Area of triangle 1 = 1/2 base × height

= 1/2 × 12 × 8

=96/2

=48

Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)

Area of triangle 3 = 1/2×base×height

= 1/2 × 6 ×9.5

= 57/2

=28.5

Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)

Area of the rectangle = length×breadth

=12 × 6 =72

Total surface area = addition of all the areas of the triangles and the rectangle

Total surface area= 48+48+57+57+72 = 225

Therefore, the total surface area is 225 square feet

jill uses some of her honey to make lotion. if each bottle of lotion requires 1/4 gallon and she uses a total 3 gallons how many bottles of lotion does she make​

Answers

The answer to your question is 12. 1/.25=4, 4x3=12

Answer:

am gonna need more imformation

Step-by-step explanation:

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

What are the value/s of x if: *
36x2 – 25 = 0 ?​

Answers

I think its x=-5/6 or x=5/6
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