At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.

Answers

Answer 1

Answer:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]b = blue[/tex]

[tex]y = yellow[/tex]

[tex]r = red[/tex]

Required

Represent as a matrix

For Sammy:

[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]

So, we have:

[tex]2b + 1y + 3r = 1500[/tex]

[tex]2b + y + 3r = 1500[/tex]

For Jamie:

[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]

So, we have:

[tex]1b + 2y + 2r = 1225[/tex]

[tex]b + 2y + 2r = 1225[/tex]

For Yvonne:

[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]

So, we have:

[tex]2b + 3y + 1r = 1200[/tex]

[tex]2b + 3y + r = 1200[/tex]

The system of equations are:

[tex]2b + y + 3r = 1500[/tex]

[tex]b + 2y + 2r = 1225[/tex]

[tex]2b + 3y + r = 1200[/tex]

To represent as a matrix, we have:

[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]  [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]

This gives:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]


Related Questions

The ratio of the perimeter of the rectangle ABCD to the perimeter of rectangle EFGH is 4:7. The value of x is

Answers

Answer:

x = ~8.76

Step-by-step explanation:

Since we know that the scale factor is 4:7, we can figure that 5 will be 4/7 the size of x.

4/7 = 0.571

5 / 0.571 = ~8.76

FACTORIZE :-
[tex]6 ^{2} + 6p + 8[/tex]

Answers

2(3p+22). Hope this helps!

Help please :( !
Compare . Who picked fruit at a faster pace ?

Answers

Answer:

Shawn.

Step-by-step explanation:

We can solve for apples per hour and pears per hour. For Shawn, to get the apples per hour, we do 4/2 which is 2 bushels of apples per hour. For pears, we do 5/2 which is 2.5 bushels of pears per hour.

When Carla is picking, we can do:4/3 which is 1 and 1/3, which is her apple bushel picking per hour. For her pears, she picks them at 2 bushels of pears per hour.

Since Shawn picks her apples quicker per hour, and her pears quicker per hour, Shawn picks at a faster fruit pace.

Shawn did the answer is Shawn

Terri has a tepee. The tepee has a diameter of 9 feet and a height of 6 feet. What is the volume of the tepee to the nearest foot?

Answers

Answer:

yuop

Step-by-step explanation:

sdfghmnfv tnymu nhghbergfhthetdhtrsdfbgtgtsghrt

Solve x TN = 8 nV =x - 2?

Answers

Answer:

10

Step-by-step explanation:

STUV is a parallelogram.

TV and SU are its diagonals intersecting at point N.

Diagonals of a parallelogram bisects each other.

Therefore, TN = NV

8 = x - 2

8 + 2 = x

10 = x

x = 10

A company that makes hair care products at 9000 people try a new shampoo. Of the 9000 people, 18 had a mid allergic reaction. What percent of the people had a mid allergic reaction

Answers

Answer:

0.2% of the people had mid allergic reaction.

Step-by-step explanation:

Given that:

Number of people tested for a new shampoo = 9000

Number of people who had allergic reaction = 18

Percent of people = [tex]\frac{People\ who\ have\ reaction}{Total\ number}*100[/tex]

Percent of people = [tex]\frac{18}{9000}*100[/tex]

Percent of people = 0.002 * 100

Percent of people = 0.2%

Hence,

0.2% of the people had mid allergic reaction.

What is the initial value of a function?

Answers

Answer:

The answer is The corresponding x-value when y equals 1

The model below represents the equation 3x + 2 = 11.
>
D
What is the second step in finding the value of x?
A subtract 2 candies from each side of the model
3 add 2 candies to each side of the model
. subtract 11 candies from each side of the model
divide the candies equally among the 3 cans

Answers

Answer:

side

Step-by-step explanation:

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.

–10.5 9

–21/5 ≤ –5/2d

Answers

Answer:

No. ≤  means less than or equal to

Step-by-step explanation:

Find the prime factorization of 120.


23 × 3 × 5

2 × 32 × 5

2 × 3 × 5

2 × 32 × 52

Answers

Answer:

(7/8 - 4/5)^2 = 9/

1600

= 0.005625

Step-by-step explanation:

Subtract: 7/

8

- 4/

5

= 7 · 5/

8 · 5

- 4 · 8/

5 · 8

= 35/

40

- 32/

40

= 35 - 32/

40

= 3/

40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven eighths minus four-fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = 3/

40

^ 2 = 32/

402

= 9/

1600

In words - three-fortieths squared = nine one-thousand six-hundredths.

A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where
6
4
2
-8
-6
-4
-2
2
6
8
-2
-6
How many feet of fencing will the homeowner need to build the dog pen?

Answers

Answer:52

Step-by-step explanation:

Josh works 40 hours a week and earns $10 an hour. Calculate Josh’s total earnings and place your answer in the paycheck.

Answers

Answer:

He earns $400 weekly and $57.14

Step-by-step explanation:

40*10 = $400

So if Josh works 40 hours a week, and gets 10 dollars per hour... 40 x 10= 400

Josh earns a total of $400 dollars a week!

Which of the following coordinate points is a solution to the inequality y>= -3x+6
A (-2,4)
B (3,-4)
C (4,3)
D (-5,-3)​

Answers

Answer:

I need help ok so this is correct it is c

Step-by-step explanation: First

Alison bought 5 boxes of erasers,
Each box had 212 erasers. How
many erasers did she buy in all?

Answers

Answer:

1,060

Step-by-step explanation:

Each- Means multiplication.

You can add 212 - 5 times

212x5

Answer:

1060

Step-by-step explanation:

212 x 5 = 1060

212

x5

5x200=1000

5x10=50

5x2=10

1000+50+10=1060

There are 20 different colored marbles in a bag and 4 of them are yellow. What
percentage of the marbles are yellow?

Answers

Answer:

20%

Step-by-step explanation:

4/20 * 100=20

Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form

Answers

3^2
Here’s the working out;

Help me out please an thank you

Answers

it should be 54 if u want me to explain how lmk :))

Easy 3rd grade mathy! ITS 100 POINTS

Answers

Answer:

3.5?

Step-by-step explanation:





May I have brainliest please I'm trying to level up!

</3 PureBeauty

Answer:

uhmm 3.2???

Step-by-step explanation:

I barely remember not gonna lie :'(

PLSSS HELP
Diego earns $10 per hour babysitting. Assume that he has no money saved before he starts babysitting and plans to save all of his earnings. Graph how much money, y, he has after x hours of babysitting.

Answers

Answer:

Hey!

Step-by-step explanation:

Legit just like make a graph like this:

10 | 1

20 | 2

30 | 3

And so on and so forth

help Math 39 points Asap Probability image below

Answers

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

Who can help with this question please?​

Answers

Answer:

Let the sum be x.

Using formula,

I=

100

PRT

=

100

12

15

×

2

15

100

12

8

×

2

25

=32.50

2400

25x

=32.50

⇒x=

25

32.50×2400

=3120

∴ Required sum =Rs.3120

Step-by-step explanation:


please help i will mark branliest

Answers

Answer:

A. S=3w

Step-by-step explanation:

Hope it helps

A. S=3w

Good luck, and have a great day!

If 4y = 7x, write the ratio of x to y.

Answers

Answer:

7:4 would be the ratio I think

Jack rode a bike through a new in the path shown at the right. If Jack took an average of 2 pictures per mile, how many pictures did Jack take on his bike ride?

Answers

Answer:

Jack took 10 pictures on his bike ride.

Step-by-step explanation:

Given that:

Given measurements of sides are 3 miles and 4 miles

We will find the distance of the new route by using Pythagorean theorem.

[tex]a^2+b^2=c^2[/tex]

(3)² + (4)² = c²

9 + 16 = c²

25 = c²

c² = 25

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]

The distance of new route = 5 miles

Picture taken per mile = 2

Picture taken on bike ride = 2*5 = 10 pictures

Hence,

Jack took 10 pictures on his bike ride.

Please solve

16 > -8 + x

Answers

Answer:

3

Step-by-step explanation:

3x18>=3=3

Answer:

x < 24?

Step-by-step explanation:

PLEASE HELP me!!! can give brainliest!


Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )

Answers

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

for the function h(x) = 4x2 -5x what is the value of (-3)

Answers

Answer:

h(-3) = 51

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(x) = 4x² - 5x

h(-3) is x = -3

Step 2: Evaluate

Substitute in x:                     h(-3) = 4(-3)² - 5(-3)Exponents:                           h(-3) = 4(9) - 5(-3)Multiply:                                h(-3) = 36 + 15Add:                                      h(-3) = 51

Answer:

f(-3) = 51

Step-by-step explanation:

f(x) = 4x^2 - 5x

f(-3) = 4(-3)^2 - 5(-3)

f(-3) = 4*9 - (-15)

f(-3) = 36 + 15

f(-3) = 51

Given that 1 inch = 2.54 cm, how many centimeters are there in 6 feet? Answer may be written using decimal form and should be rounded to the nearest hundredths when necessary.​

Answers

Answer:182.88cm

Step-by-step explanation:

12in in a foot

12in x 6 ft. = 72in

72in x 2.54cm = 182.88cm

Answer:

182.88

Step-by-step explanation:

6 ft = 72 inches

72(in) x 2.54(cm per inch) = 182.88cm

Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
{(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O{0, -9, -2, -3)

Answers

Answer: O {(0, -9), (-9, 0), (-3, -3)}

Step-by-step explanation:

If he starts at 1 and jumps 3 units to the right, then where is he on the number line? How far away from zero is he? (explain how you got the answer)

Answers

Answer:

4, he is 4 spaces away from zero.

Step-by-step explanation: I know things

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