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
Nonamiya [84]
2 years ago
7

1. Howard's CD House sells new CDs for $15 each and used CDs for $6 each. Bre'anna bought 51 CDs and spent a

Mathematics
1 answer:
Yanka [14]2 years ago
4 0

The numbers of new CDs is 30 and the old CDs is 21.

To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.

<h3>System of Equations</h3>

This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;

  • Let n represents numbers of new CDs
  • Let u represents numbers of old CDs

The equations can be represented as

n + u = 51 ...equation(i)\\15n + 6u = 576 ... equation(ii)

Let's take equation (i)

Making n the subject of formula

n + u = 51\\n = 51 - u...equation(iii)

we can put equation (iii) into equation (ii)

15n + 6u =576\\n = 51 - u\\15(51 - u) + 6u = 576\\765-15u + 6u = 576\\collect like terms\\765-576=15u - 6u\\189=9u\\9u/9 = 189/9\\u = 21

Let's put the value of u into equation (i)

n + u = 51\\u = 21\\n + 21 = 51\\n = 51 - 21\\n = 30

From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.

Learn more on system of equations here;

brainly.com/question/13729904

You might be interested in
14 + 5x = 3(-x + 3) -11 please show work step by step
mr Goodwill [35]

14+5x=3(-x+3)-11

14+5x=-3x+9-11

14+5x=-3x-2

add 2 to both sides

16+5x=-3x

subtract 5x from both sides

16=-8x

divide both sides by -8

-2=x

Hope this helps! :)

3 0
3 years ago
Monica sells lemonade over the summer and uses conical paper cups to serve
Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0
3 years ago
Please help quick need an answer will give brainliest
Vadim26 [7]

Answer:

150º

Step-by-step explanation:

7 0
3 years ago
True or False
Ksenya-84 [330]
1.) false
2.) true
3.) false
Similar means equal angles and proportional sides
Triangles can be similar by SSS, AA or SAS
3 0
3 years ago
You want to buy birthday hats, cards, and teddy bears for your best friends birthday party. You buy the products for wholesale p
Naya [18.7K]

Answer:

I will create a five by four matrix to indicate the costs of the products.  The matrix will have five vertical columns and four horizontal rolls.  The vertical columns will show the product categories and the total costs for all the products and decorations.  The horizontal rolls will show the product costs, the decoration costs, and the total costs for each product category.

The size and shape of the matrix will be 5 by 4 with squared boxes.

Step-by-step explanation:

Products/Costs         Hats         Cards      Teddy    Total Costs

Product costs           $2.50       $0.90       $3.10        $6.50

Decoration costs      $1.50       $0.60        $1.70        $3.80

Total costs               $4.00        $1.50       $4.80       $10.30

6 0
3 years ago
Other questions:
  • Show that each system has no solution<br>y=x+1<br>-x+y=3
    13·1 answer
  • If a whole number ends in 0, then it is divisible by 10. Whats is the conclusion?
    5·1 answer
  • Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to b
    15·1 answer
  • Can you please help with #2
    14·1 answer
  • Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high. Her paper is 12 in. wide and 24 in. tall. She
    5·2 answers
  • how do i solve the ratio of cats to dogs seen by a veterinarian in one day is 2 to 5. if a vet saw 40 dogs in one day how many c
    13·1 answer
  • Nara ran 14 miles she ran 2 more miles than Alicia. How many miles did Alicia run.
    7·2 answers
  • What is the slope of the line?
    10·1 answer
  • Zoom in if beaded and pls help pronto
    12·2 answers
  • I need help pllssss​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!