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
klasskru [66]
2 years ago
6

Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut

es, club A sold 3 t-shirts and 2 notebooks, and made $19. Club B sold 1 t-shirt and 1 notebook, for a total of $8. Use the given matrix equation to solve for the cost of t-shirts and notebooks that were sold. Explain the steps that you took to solve this problem.
A matrix with 2 rows and 2 columns, where row 1 is 3 and 2 and row 2 is 1 and 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is x and row 2 is y, equals a matrix with 2 rows and 1 column, where row 1 is 19 and row 2 is 8.
Mathematics
1 answer:
mixas84 [53]2 years ago
7 0

Using a system of equations, it is found that the cost of a t-shirt is of $3 and the cost of a notebook is of $5.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

  • Variable x: Cost of a t-shirt.
  • Variable y: Cost of a notebook.

Considering the costs of the purchases of Clubs A and B, the matrices give the equations as follows:

  • 3x + 2y = 19.
  • x + y = 8 -> y = (8 - x).

Hence, replacing the second equation into the first:

3x + 2(8 - x) = 19

x = 3.

y = 8 - x = 8 - 3 = 5.

The cost of a t-shirt is of $3 and the cost of a notebook is of $5.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

You might be interested in
Kinsey purchased a bushel of large apples that weigh about 48 pounds.the bushel contains 96 apples what is the weight of one app
Elenna [48]
Each with half a pound.
6 0
3 years ago
Read 2 more answers
Solve for 2.<br> -9x +5 &lt; 17 AND<br> 13x + 25 &lt; -1
Elena L [17]

Answer:

no solution

Step-by-step explanation:

-9x +5 < 17 AND   13x + 25 < -1

Solve each part separately and then put back together

-9x +5 < 17

Subtract 5 from each side

-9x+5-5< 17-5

-9x < 12

Divide each side by -9 remembering to flip the inequality

-9x/-9>12/-9

x > -4/3

and

13x + 25 < -1

subtract 25 from each side

13x +25-25 < -1-25

13x <-26

Divide by 13

13x/13 < -26/13

x <-2

There is no overlap so there is no solution

5 0
3 years ago
Read 2 more answers
James needs to wrap a Christmas
tatiyna

Answer:

no answer your gay

Step-by-step explanation:

6 0
3 years ago
What two numbers add to get to 17 and multiply to get to -308
Triss [41]
11 and -28

11x-28=-308
11+-28=-17
5 0
3 years ago
after a 30% reduction, you purchase a dictionary for $30.80 what was the dictionary price before the reduction
liq [111]

Answer:

Well the original price would be $44

Step-by-step explanation:

So make an equation

Lets make X stand for the price before the deduction

so x-x(0.3)=30.80

Subtracting the X by x(0.3) would tell us the price, the 0.3 stands for 30 percent and we know its 30 percent of X so we subtract that since 0.3x would give the change

Now just solve the equation

You’ll get 44.

4 0
3 years ago
Other questions:
  • Add integer help just explain
    11·1 answer
  • Need help on simplifying this
    6·1 answer
  • The town library is raising money by selling old books for $4each.Which equation can be used to find the amount of money raised
    5·1 answer
  • Wirte an inequality to comepare the ratios 2/4 and 5/6​
    14·1 answer
  • The length of a rectangle is
    15·1 answer
  • Daria discovers a pattern in her homework assignment. X shows the missing digit in the pattern. The table shows 12, 84, 156, 228
    7·1 answer
  • Fill in the green box.<br> Z<br> 4<br> x = [?] √?<br> Enter
    8·1 answer
  • PLEASE HELP Identify the equation of the graph
    14·1 answer
  • Put answer in comments please or I cant read it
    15·1 answer
  • What are 4 quarts in one gallon but in a <br> fraction form
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!