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

Solve plzzz ASAP due today

Answers

Answer:

#3- x=2.73

#4- x=8

Step-by-step explanation:

Answer: X = 3 / X = 8

Step-by-step explanation:

3. (Angles add up to 180)

30x + 4 + 86 = 180

30x + 90 = 180

subtract 90 from both sides

30x = 90

Now divide by 30

x = 3

Check your work ( input 3 to the equation)

30(3) + 4 + 84

90+ 90 = 180  it works :)  

4. (Angles are adjacent to each other so there equal)

10x - 3 = 77

add 3 to both sides

10x = 80

divide it by 10

x = 8

Check your work ( input 8 to the equation )

10(8) -3 = 77

80 - 3 = 77

77 = 77

Identify the most reasonable unit to measure the volume of a glass of orange juice.

Answers

Answer:

Liters

Step-by-step explanation:

Every recipient that has a volume of liquid in it,you mesure it in liters!

Mrs. Hudson plans to give a 10 question multiple choice exam in which each question has 4 options. Each question counts for 1 point. A score of 8 or more is a passing score while 7 or less is a failing score. The probabilities of guessing a certain number of questions correctly are listed in the table below.
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Compute the probability of answering 8 or more questions correctly by calculating the probability with a direct sum and by using complements.
How do the two approaches compare?

Answers

Answer:

0.0004158

0.00041581

Step-by-step explanation:

Given that :

Number of Questions Correct

Probability for Guessing Correctly

0

0.05631351

1

0.18771172

2

0.28156757

3

0.25028229

4

0.14599800

5

0.05839920

6

0.01622200

7

0.00308990

8

0.00038624

9

0.00002861

10

0.00000095

Probability of answering 8 or more questions correctly ;

Direct sum:

P(x ≥ 8) = p(8) + p(9) + p(10)

P(≥ 8) = 0.00038624 + 0.00002861 + 0.00000095

= 0.0004158

Complement :

P(x ≥ 8) = 1 - p(x ≤ 7)

1 - [p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)]

1 - [0.00308990 + 0.01622200 + 0.05839920 + 0.14599800 + 0.25028229 + 0.28156757 + 0.18771172 + 0.05631351]

1 - 0.99958419

= 0.00041581

True or false Every relation that is linear, must be a function?

Answers

Answer: False

Step-by-step explanation: Let's review the idea of graphs.

For a graph to be linear, it must be a straight line.

To determine whether a given graph is a function,

we use the vertical line test.

The vertical line test tells us that if a vertical line is drawn on a graph,

and hits the graph in more than one place, the graph is not a function.

In fact, this definition tells us the only type of linear graph

that will fail the vertical line test, and that's a vertical line.

Any vertical line that we draw will be both linear and not a function.

One possible graph could be x = 2.

Any vertical line will fit this description.

plz answer its due today!!

Answers

Answer:

-5/8

Step-by-step explanation:

Delia measured a doorway to be 1 meter wide. Which of these is a nearly equivalent measurement? A 15 miles B 10.5 yards C 3.3 feet D 98.7 inches

Answers

Answer:

c

Step-by-step explanation:

Find the slope of the line y = -5/4x - 2

Answers

Answer:

-5/4

Step-by-step explanation:

y=mx+b

m= slope

b= y-intercept

m= -5/4

line with a slope of 2 and passes through point (3, 5)

Answers

Answer:

i dont get what you are trying to say is their a graph u can show

Step-by-step explanation:

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = 2x - 1 ← equation of line

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?

Answers

Answer:

She can cut 180 (9 - inch) pieces

Step-by-step explanation:

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below.

Step 1

How many inches of ribbon does the dressmaker have, in total?

1 roll of ribbon = 9 feet

15 rolls of ribbon = x feet

x = 15 roll × 9 feet

x = 135 feet

Converting from Feet to inches

1 foot = 12 inches

135 feet = x inches

Cross Multiply

x = 135 × 12 inches

x = 1620 inches

The dress maker cuts 9 inches each

How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon?

15 rolls of ribbon = 1620 inches of ribbons

Hence: = 1620 inches/9

= 180 pieces

She can cut 180 (9 - inch) pieces

help!!! I will give brainliest!
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

Slope = (y2-y1)/(x2-x1)
Pick points on graph
(0,2), (-2,5)
(5-2)/(-2-0) = 3/-2 = -3/2

What is the value of tan A?
8/17
15/8
8/15
15/17

Answers

Answer:

B) 15/8

Step-by-step explanation:

Use the SOH-CAH-TOA acronym:

• SOH: Sin(θ) = Opposite / Hypotenuse

• CAH: Cos(θ) = Adjacent / Hypotenuse

• TOA: Tan(θ) = Opposite / Adjacent

Tangent of A would be "opposite" over "adjacent". The side of the triangle opposite angle A would be 15, and the side adjacent to angle A would be 8 -- the value of tan(A) is 15/8.

Tan(A) cannot be 15/7, because 7 is the hypotenuse. Remember that the hypotenuse of a right triangle is the side opposite the 90° angle -- here, angle B is the 90° angle.

Match the term with the definition. (5 points) Column A 1. Line : Line 2. Line Segment : Line Segment 3. Ray : Ray 4. Point : Point 5. Vertex : Vertex Column B a. a location, has no dimension b. the common endpoint of two segments or rays that form the "corner" of an angle c. an infinite number of points extending in opposite directions that has only one dimension d. part of a line that has two endpoints e. part of a line that has one endpoint and continues in one direction infinitely

Answers

Answer:

a. Point.

b. Vertex.

c. Line.

d. Line segment.

e. Ray.

Step-by-step explanation:

a. Point: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.

b. Vertex: is the common endpoint of two segments or rays that form the "corner" of an angle.

c. Line: is an infinite number of points extending in opposite directions that has only one dimension.

d. Line segment: is part of a line that has two endpoints.

e. Ray: is part of a line that has one endpoint and continues in one direction infinitely.

solve the equation

pls help me

Answers

I think it’s zero 0

PLEASE HELP ME!!!!!!!!!!!!!!!
You received a ​$150 gift certificate to a clothing store. The store sells​ T-shirts for ​$17 and dress shirts for ​$26. You want to spend no more than the amount of the gift certificate. You want to leave at most ​$8 of the gift certificate unspent. You need at least dress . What are all of the possible combinations of​ T-shirts and dress shirts you could​ buy?
seclect all that apply
A: 4 t-shirts and 3 dress shirts
B: 1 t-shirt and 5 dress shirts
C: 5 t-shirts and 2 dress shirts
D 2 t-shirts and 4 dress shirts

Answers

Answer:

d I think

Step-by-step explanation:

blablablablabal

D sorry if I’m wrong!!

A cheesecake recipe says, "Mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese are there for every ounce of sugar?_ How many ounces of sugar is that for every ounce of cream cheese? ​

Answers

ounces of cream cheese for every ounce of sugar = 12/15 = 4/5 ounces

ounces of sugar for every ounce of cream cheese = 15/12 = 5/4 ounces

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (2, −1)? y = Negative one-thirdx − One-third y = Negative one-thirdx − Five-thirds y = 3x − 3 y = 3x − 7

Answers

Answer:

D, y = 3x − 7

Step-by-step explanation:

Edge 2020, mark as brainliest plz

Answer:

The Answer is D.

Step-by-step explanation:

what is the equation of the line in slope intercept form

Answers

Answer:

y=-5x

Step-by-step explanation:

Dale will run at most 29 miles this week. So far, he has run 17 miles. What are the possible numbers of additional miles he will run?
Use t for the number of additional miles he will run.
Write your answer as an inequality solved for t.

Answers

Answer:

17+t=19

Step-by-step explanation:

there u go buddy :(

I need help ASAP please

Answers

Answer:

4th one is correct

Step-by-step explanation:

pls help me with question 8

Answers

9514 1404 393

Answer:

  weight = 5, 6.5, 7.2, 9, 16

  cost = $2.50, $3.25, $3.60, $4.50, $8.00

Step-by-step explanation:

The first column tells you the cost is ...

  $2.50/(5 lb) = 0.50 $/lb

That is, each bottom number is half the top number, or each top number is double the bottom number.

The table is ...

  weight = 5, 6.5, 7.2, 9, 16

  cost = $2.50, $3.25, $3.60, $4.50, $8.00

2x=17 what is the value of x

Answers

Answer: X = 8.5

Step-by-step explanation:

2x = 17

divide by 2

x = 8.5

By solving the value we get the value of x that is equal to 8.5.

Calculating the value of x:

When considering unknown values, the value of x is used. In algebra, the letter "x" is frequently used to denote an unknown value. It's called a "variable" or an "unknown" in other circumstances.

[tex]\to[/tex] 2x=17

[tex]\to[/tex]  x=[tex]\frac{17}{2}[/tex]

[tex]\to[/tex] x=8.5

Find out more about the value of x here:

brainly.com/question/14170328

Let p(x) = -2x - 9. If p(x) = -19, find x.

Answers

Answer:

x=5

Step-by-step explanation:

Step 1: Flip the equation.

−2x−9=−19

Step 2: Add 9 to both sides.

−2x−9+9=−19+9

−2x=−10

Step 3: Divide both sides by -2.

Exact Form:

x = 9/17

Decimal Form:

x = 0.52941176…

Edit: "but what are the steps to get 9/17"

1. Move all terms containing x to the left side of the equation.

2. Divide each term by −17 and simplify.

You buy a used car for $20,000. It depreciates at the rate of 21% per year. Find the value of the car for the given years.

A. 5 years.

B. 8 years.

Answers

Answer:

a is 840 ,b is 525

Step-by-step explanation:

At the end of each year, its value is down to 79%, which is 0.79 times its value at the start of the year.  Keep this up for n years and the value is

V(n) = $20,000 (0.79)n,

where n is the number of years elapsed from when the value was $20,000.  Just plug in n=5 and n=8, evaluate, and get your 2 answers.

Answer:

A. 5 years

Step-by-step explanation:

21% of 20,000 is 4200, mutiply that by 5 and get $20,000

Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each notebook costs $2.19 and each mechanical pencil costs $1.50, how many mechanical pencils can Mallory buy using only the money her mom gave her?

Answers

Answer:

Mallory can buy 16 notebooks

Step-by-step explanation:

You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks

Answer:

she can buy 9 pencils

Step-by-step explanation:

1. In order to increase sales the price of a Concorde airliner is reduced from
$30,000,000 to 28,400,000, what percentage reduction is this?​

Answers

Answer:

5.33%

Step-by-step explanation:

(28,400,000÷30,000,000 ) × 100%

= 94.67%

the reduced amount = 100 - 94.67

= 5.33%

Answer:

5.333333333333334%

Step-by-step explanation:

5.333333333333334% of 30,000,000 = 1,600,000

Tip: Don't get scared by numbers, percentage don't change by how many zeros, i found this just by figuring out by: 1.6 is what percentage of 30?

You could find it on a "Percentage calculator"

Hope this helps!

Ace Carlos

Quadratic functions. Did I do it right?

Answers

Answer:

1) The graph is opening upwards

2) Axis of symmetry is x=-2

3) Vertex: (-2, 1) minimum y=1

4) y intercept is (0, 9)

5) domain: x|x ∈ R (All real numbers)

6) Range y|y ≥ 1

Amanda’s dog eats 12\frac{1}{2}12 2 1 ​ pounds of dog food in 3 weeks.

Answers

Answer:

y=mx+b

Step-by-step explanation:

Ghosts are still one of the greatest frights. The number of scares a ghost will get is modeled with the equation

`y=5x+2`. Skeletons, on the other hand, have become rather common and no one is scared of them anymore. In fact, they often are scared themselves more than they scare anyone else. If the equation for skeletons is perpendicular to the equation for ghosts and passes through the point (10, -4), what is the equation for skeletons?

Answers

Answer:

i don't know the answer but i really want the points

Step-by-step explanation:

Las edades de los estudiantes de primer semestre de preparatoria oscilan entre
14 y 17 años. En un salón de 18 alumnos se tienen los siguientes datos.
Alumnos 1 2 3 4 5 6 7 8 9 1
0
1
1
1
2
1
3
1
4
1
5
1
6
1
7
1
8

Edades 1
6
1
5
1
7
1
4
1
4
1
4
1
4
1
5
1
5
1
6
1
6
1
6
1
6
1
7
1
7
1
5
1
5
1
5

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee hiiii

Step-by-step explanation:

find a factor of 5x^2+ 27x - 56​

Answers

the answer is (5x-8)(x+7)
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