Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch. Student B
spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch. Student C
spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.
1. Which augmented matrix best represents the system of linear equations that could be used to
determine the price of each item?

Answers

Answer 1

Answer:

Step-by-step explanation:

...

Answer 2

[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item

What is Matrix?

a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch.

Let bottle of school glue=G

a package of colored pencils=C

pencil pouch=P

G+C+P=9

Student B

spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch.

2G+3C+P=16

Student C

spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.

G+2C+2P=17

[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex]

is used to determine the price of each item

Hence [tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item

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Related Questions

Which angles are corresponding angles?

Answers

Answer:

lmj and ijh

Step-by-step explanation:

I WILL MARK BRAINIEST

Answers

Answer:

 X=32°

 Y=122°

Z=58°

Step-by-step explanation:

 X+73°+75°=180° (interior angles of a triangle adopts to 180°)

 X=180°-148°

 X=32°

 32°+Y+26°=180°(interior angles of a triangle adopts to 180°)

 Y=180°-58°

 Y=122°

Y+Z=180(angle on straight line adopts to 180°)

Z=180°-122°

Z=58°

Answer:

x=32, y=122, z=58

Step-by-step explanation:

[tex]Lets\ consider\ the\ quadrilateral\\Angle\ 1=73\\Angle\ 2=75\\Let\ angle\ 3\ be\ w\\\ We\ observe\ that,\\26+w=180 [Linear\ Pair]\\w=180-26\\w=154\\Hence,\\w+z+73+75=360[Angle\ Sum\ Property\ of\ A\ Quadrilateral]\\z+154+73+75=360\\z+302=360\\z=58[/tex]

[tex]We\ now\ observe\ that,\\Angle\ z\ and\ Angle\ y\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\z+y=180\\58+y=180\\y=122[/tex]

[tex]Hence,\\As\ y,26\ and\ x\ form\ a\ triangle, \\Through\ Angle\ Sum\ Property\ of\ a\ triangle\ they\ are\ supplementary \\Hence,\\26+x+y=180\\26+x+122=180\\x+148=180\\x=32[/tex]

Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the function p(x)= 45+35x , where x represents the time, in hours, that the plumber used to complete the job. Mr. Barnes budgeted $220 to pay the plumber for the job. After how many hours will the cost of the job exceed Mr. Barnes's budget?
WILL PICK THE BRAINLEST.

Answers

After 5 hrs not exactly 5 hrs because that’s exactly his limit

A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings.

How much does an ice cream cost with 4 ounces of toppings?-------()
How much does an ice cream cost with 11 ounces of toppings?----()
If Elena's ice cream cost $3.50 more than Jada's ice cream, how much more did Elena's toppings weigh?-------()

Answers

Answer:

1st question: $2.00 2nd question: $5.50 3rd question: 7 oz.

Step-by-step explanation:

4 x 50= 2 = $2.00

11 x 50= 550 = $5.50

7 x 50= 350 = $3.50

If you have two points, you can only pick the first one to find the equation.

True

False

Answers

Answer:

well, it really depends but im pretty sure its false. you can start with either one and find the equation

Step-by-step explanation:

Whoever answers this I will mark you Brainliest or else I’ll report you

Answers

Answer:

Uhh ok

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

ok the answer  is ok

THE DIFFERENCE OF TWO NUMBERS IS 17. IF THE GREATER NUMBER IS 32, FIND THE SMALLER ONE. (STEP BY STEP)​

Answers

difference means subtracting. if thr greater number is 32 then what minus 32 equals 17? 32-15=17

Answer:

15

Step-by-step explanation:

think the number is x

according to the question

32-x=17

-x=17-32

-x=-15

x=15 (divide both side by -1)

What is the slope of y = x + 5

Answers

The slope of y=x+5 is 1


Rice sold
GH 56.00 per bag.
trader bought
some bags of
rice and paid GH 1,344.00, how
bags
of rice
did the
many
trader buy?​

Answers

Answer:

24 bags of rice

Step-by-step explanation:

for these kinds of problems you just have to divide.

1,344.00 ÷ 56.00 = 24

9514 1404 393

Answer:

  24 bags

Step-by-step explanation:

Let b represent the number of bags of rice. Then their total cost is ...

  56b = 1344

  b = 1344/56 = 24 . . . . . divide by the coefficient of b

The trader bought 24 bags of rice.

(-5)-6 find the different

Answers

Answer:

-11

Step-by-step explanation:

−5−6

=−5−6

=−5+−6

=−11

Hope this Helps!

at a candy store you get 7 giant lollipops for $16.12 how much would it cost to buy 6 lollipops?​

Answers

Answer:

$13.80

Step-by-step explanation:

Divide $16.12 by 7 which equals 2.30, then multiply 2.30 by 6 to get ^^

Write an expression that represents the given statements (use N to represent “a number”):

a) Two times a number plus three


b) Four less than a number


c) A number minus 5, then multiplied by 6

Answers

a) 2n + 3

b) n - 4

c) (n - 5) 6

2 More Problems! 20 points! AND BRAINLIEST TO CORRECT ANSWER!

Answers

Answer:

First Screen:

1 & 3

Second Screen::A

Step-by-step explanation:

HOPE THIS HELPS!!

can someone help me with this?

Answers

Answer:

either b or d

Step-by-step explanation:

id go with d

Suppose that you need to buy some chicken for dinner tonight. You found an ad showing that a store across town has chicken on sale for $2.99 per pound. Your usual neighborhood store sells the same chicken for $3.79 per pound. You are considering whether it is worth the drive to purchase the chicken from the store across town. Information you will need:________
A. You need to purchase 3 pounds of chicken
B. Your neighborhood store is 2.1 miles away and takes about 8 minutes to get there
C. The store across town is 8.6 miles away and takes about 24 minutes to get there
D. Your car averages about 22 miles per gallon in the city Gas is $3.05 per gallon

Answers

Answer:

C). The store across town is 8.6 miles away and takes about 24 minutes to get there.

D). Your car averages about 22 miles per gallon in the city Gas is $3.05 per gallon.

Step-by-step explanation:

The information regarding the distance of the store across town from the house, the time required to reach there, the average of the car, and the cost of gas per gallon would assist in calculating if the extra drive is worth buying chicken from the city store.

Cost of chicken in the city store - $2.99 per pound

Average of the car in 1 gallon = 22miles

so, the average of the car in 1 mile = 1/22

Cost of traveling 8.6miles = 8/22 * $3.05

                                           = 24.40/22

Additional cost = $ 1.109

Total cost of buying chicken from the city store = $2.99 + $1.10

                                                                                = $4.09

Hence, it is not worth to buy the chicken from the store across the town as it is costlier in comparison to $3.79 in nearby store.

Has this app helped u​

Answers

Answer:

Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do

Step-by-step explanation: what app and ok

Yes it helped me a lot what about you?

Anyone know the answer?

Answers

Answer:7

Step-by-step explanation: The range is the value of the difference of the highest and lowest numbers. As I can see here, the highest is 9, while the lowest is 2, so 9-2=7

12 + 4x – 4 = 12x – 9 – 8x

Answers

Answer:

No solution

Step-by-step explanation:

Basically the simplified equation is 17 = 0, which is wrong so there is no solution.

Passing through (5,7)
parallel to y = x + 6

Answers

Y=x+2 is the correct answer:)

Answer:

hil how are you doing

Step-by-step explanation:

25, of a box of multi-color cap erasers are green. If there are 3 green erasers, how many erasers are in the box?

Answers

Answer:

0.75

Step-by-step explanation:

'Percentage' is obtained by multiplying 3 by 25%.

25% × 3 =

(25 ÷ 100) × 3 =

(25 × 3) ÷ 100 =

75 ÷ 100 =

0.75;

What are three consecutive even integers whose sum is 66

Answers

Answer:

21,22,23

Step-by-step explanation: i love fried chicken look at my skin color

Answer:

Smallest integer: 20

Middle integer: 22

Largest integer: 24

Step-by-step explanation:

Denote the smallest integer as "x"; hence the next integer will be "x + 2", and the third will be "x + 4".

Using the information, set up an equation:

x + x + 2 + x + 4 = 66

Simplify

x + x + 2 + x + 4 = 66

3x + 6 = 66

Inverse operations

3x + 6 = 66

    -6      -6

3x = 60

/3     /3

x = 20

Smallest integer: 20

Middle integer: 22

Largest integer: 24

The sum of 6 times a number and 8 is 3.

Answers

Answer:

8 times 3 plus 6

Step-by-step explanation:

See the attachment....

zero product property:

(x-4)(-5x+1)=0

lesser x=

greater x=

Answers

Answer:

lesser x= (x-4)greater x=(-5x+1)

18x + 18
1
18 1
12
+18 Substitute.
+ 18
Multiply.

Answers

Answer:

18 x+18

Step-by-step explanation:

did you get a number that it is equals to caz i dont understand how you are suppose to work out 18× +18

7 (4 + 9) help ols ok jjjj

Answers

Answer:91Step-by-step explanation:7 x 4 + 7 x 9 28 + 63 = 91Hope this helps!!

En la casa de la familia de Trevor viven 6 personas (incluyendo a Trevor) y hay 3 baños. En el último mes, cada
persona se bañó durante un promedio de 480 minutos y utilizó un promedio de 72 litros de agua al bañarse
(en todo el mes). El agua cuesta 0.20 dólares por litro.
¿Cuánto dinero gastó la familia de Trevor en total en agua al bañarse el mes pasado?
dólares.

Answers

Answer:

La familia de Trevor gastó 86.4 dólares al bañarse en todo el mes.

                                                       

Step-by-step explanation:

El costo del agua viene dado por:

[tex] C = \$0.20/L [/tex]   (1)

Y cada persona de la familia de Trevor gasto en promedio 72 litros de agua. Si la familia tiene 6 integrantes (incluido Trevor) entonces:

[tex] A = 72 L*6 = 432 L [/tex]    (2)

Entonces, toda la familia usó 432 litros de agua en promedio en todo el mes.

Para saber el dinero total gastado por la familia debemos multiplicar la ecuación (1) y la ecuacion (2):

[tex] C = \$0.20/L*432 L = \$86.4 [/tex]

Por lo tanto, la familia de Trevor gastó 86.4 dólares al bañarse en todo el mes.

Espero que te sea de utilidad!                                    

Usando proporciones, hay que la familia de Trevor gastó 86.4 dólares en total en agua al bañarse el mes pasado.

En la casa, hay 6 personas.Cada persona utilizó un promedio de 72 litros de agua.

Por eso, en todo, 6 x 72 = 432 litros de agua fueron usados.

Cada litro cuesta $0.2. De esa forma, el total de dinero gasto es de:

T = 0.2 x 432 = 86.4.

La familia de Trevor gastó 86.4 dólares en total en agua al bañarse el mes pasado.

Un problema similar es dado en https://brainly.com/question/20453191


I WILL GIVE BRAINLY

Enter values for x and y in the table to plot points in the graph.

Answers

Answer: positive

Y=0.04x-0.77

by-step explanation

45% of 720 feet


Plzzz heelllp

Answers

Answer:

324 feet

Step-by-step explanation:

Brainliest pls

Answer:

324

Step-by-step explanation:

You can either do 0.45·720 or make 45% into a fraction (45/100) and cross cancel with 720.

PLEASE HELP! I'M STUCK!

Answers

I hope this attachment helps!!

what is the value of this expression below when x=3 and y =8
6x+10y ? PLEASE DONT WASTE MY TIME

Answers

Answer:

98

Step-by-step explanation:

6(3)+10(8)

=18+80

=98

PLS GIVE BRAINLIEST

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