A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium hat costs $6.00. A large hat costs $7.00. He purchases three times as many medium hats as small hats. Using matrices, how many large hats did the coach purchase?
6
11
18
23

Answers

Answer 1

Answer:

d. 23

Step-by-step explanation:

 x: small hat

 y: medium hat

 z: large hat

 We now write the system of equations:

 x + y + z = 47

 5.50x + 6y + 7z = 302

 -3x + y = 0

 We can write the system in matrix form as:

 Ax = b

 Where,

 A = [1  1  1; 5.50  6  7; -3  1  0]

 b = [47;  302;  0]

 x = [x;  y ;  z]

 Solving the system we have:

 x = 6

 y = 18

 z = 23

hope this helps

correct me if this is wrong

Answer 2

Answer:

Choice D

Step-by-step explanation:


Related Questions

If AB = CA and m1 = 45°, what is m3?

A.
47°
B.
45°
C.
43°
D.
90°

Answers

Answer:

B 45 degrees

Step-by-step explanation:

if AB and CA are = the M2 = 90 degrees

in an right triangle ware one angle is 90 degrees and one is 45 degrees the outer one will be 45 degrees  

the total of the angles in a triangle is 180 degrees so 180 - 90 = 90

90 - 45 = 45

so the remaining angle is 45.

Please see attached image for problem.

Answers

Answer:

(0, 0)

Step-by-step explanation:

(4+(-4))/2= 0/2= 0

(-5+5)/2=0/2= 0

(0, 0)- mid point

Answer:

[tex](4,-5);(-4,5)[/tex]

Remember this can be interpreted as:

[tex](x_1,y_1);(x_2,y_2)[/tex]

Looking at our x values first we have:

[tex]\frac{4+(-4)}{2}=\frac{0}{2}=0[/tex]

Looking at our y values we have:

[tex]\frac{-5+5}{2}=\frac{0}{2}=0[/tex]

So our midpoint would be the point [tex](0,0)[/tex]

Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pythagorean theorem

Answers

Answer:

x = 4√2

Step-by-step explanation:

Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pythagorean theorem

To solve, we will follow the steps below:

using Pythagoras theorem

opposite² +  adjacent² = hypotenuse²

14² + y² = 18²

196 + y² = 324

subtract 196 from both-side of the equation

196 -196 + y² = 324-196

y² =128

Take the square root of both-side

√y² = √128

y =√128

y = √64×2

y =√64×√2

y = 8√2

x = half of y

x = y/2

x = 8√2  ÷  2

x = 4√2

There are 70 students in a nutrition class. What is the probability that a junior non nutrition major and then a sophomore nutrition major are chosen at random?

Answers

Answer:

0.62% or 1/161

Step-by-step explanation:

So first you must find the probability that the junior non nutrition major is chosen, this is 10/70. After this the total number of people is lowered down to 69 since one person was chosen. Then you find the probability of a sophomore nutrition major. This is 3/69. Then multiply the two probabilities together. 10/70*3/69 = 1/161 once you reduce it. And if you change it to percentage form it is 0.62%

In 1867, the United States purchased the Alaska territory from Russia for $7.2 x 10^6. The total area was about 6 x 10^5 sq miles. What was the price per square mile?

Answers

Answer:

the two parties agreed that the United States would pay Russia $7.2 million for the territory of Alaska. For less that 2 cents an acre, the United States acquired nearly 600,000 square m

Step-by-step explanation:

the two parties agreed that the United States would pay Russia $7.2 million for the territory of Alaska. For less that 2 cents an acre, the United States acquired nearly 600,000 square m

In a survey, 135 adults were asked where they prefer to live. Complete the two-way frequency table. Which statement is true? Select all that apply. A.More males than females were surveyed. B.More males want to live in the city than in the country. C.More females want to live in the country than in the city. D.More males want to live in the country than the total for city.

Answers

Answer:

Males, Country = 50

Males, City = 42

Males, Total = 92

_____________________

Female, Country = 23

Female, City = 20

Female, Total = 43

______________________

Total, Country = 73

Total, City = 62

Total, Total = 135

geometry and perimeter help plz :(

Answers

Answer:

11) 1.9ft

12) 8.7mi

13) 7ft

14) 6ft

15) 9mi

Answer:

11) ? = 7.6/4 = 1.9 ft.

12) ? = 52.2/6 = 8.7 mi.

13) ? = 21/7 = 3 ft.

14) ? = 57/9.5 = 6 ft.

15) ? = 63/7 = 9 mi.

Look at the diagram.
Which angle is supplementary to

Answers

can u maybe write the full question?

Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.

What is the unit rate of change of flour (y) with respect to sugar (x)? That is, how much flour corresponds to one cup of sugar?

The unit rate of change is?

Graph the proportional relationship described above, with the x-coordinate representing cups of sugar, and the Y-coordinate representing cups of flour.

PLEASEEEEEE

Answers

the answer is 11/4

The unit rate of change between variables is the quotient between the difference between y-values and the difference between x-values

The unit rate of change is y = 2.25x

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the values of x be set A = { 2 , 3 , 4 }

Let the values of y be set B = { 4 1/2 , 6 3/4 , 9 }

So , the unit rate of change can be calculated by slope and linear equation of line

So , Slope m is

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 6 3/4 - 4 1/2 ) / ( 3 - 2 )

m =  2.25

So , the equation will be y = mx

y = 2.25x

Therefore , the unit rate of change is y = 2.25x

Hence ,

The unit rate of change is y = 2.25x and the graph is shown below

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ5

f(n)=64+6n
complete the recursive formula of f(n).
f(1)=?
f(n)=f(n-1)+?

Answers

Answer:

f(n) = f(n - 1) + 6

Step-by-step explanation:

Points P and Q belong to AB. If AB = a and AP = 2PQ = 2QB, find the distance between: the midpoints of AP and QB.
NO explanation needed. I need this fast

Answers

Answer:

The distance between midpoint of AP and QB is [tex]\frac{5a}{8}[/tex].

Step-by-step explanation:

Given that: AB = a

                  AP = 2PQ = 2QB

Thus,

PQ = QB = [tex]\frac{a}{4}[/tex]

PQ + QB = [tex]\frac{a}{4}[/tex]+ [tex]\frac{a}{4}[/tex]

              = [tex]\frac{a}{2}[/tex]

AP = [tex]\frac{1}{2}[/tex] a = [tex]\frac{a}{2}[/tex]

The distance between midpoint of AP and QB can be determined as;

[tex]\frac{AP}{2}[/tex] + PQ + [tex]\frac{QB}{2}[/tex]

= [tex]\frac{a}{4}[/tex] + [tex]\frac{a}{4}[/tex] + [tex]\frac{a}{8}[/tex]

= [tex]\frac{2a+2a+a}{8}[/tex]

 = [tex]\frac{5a}{8}[/tex]

Therefore, the distance between midpoint of AP and QB is [tex]\frac{5a}{8}[/tex].

Find and correct the mistakes in the problems down below.

Answers

Answer:

4. (12x)(5x) = 60x^2 because x times x is x to the power of 2

5. F are the front not the back meaning (6)(11) which is 66


How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 60% antifreeze? Simply your answer

Answers

Answer:

0.67 gallon of water

can someone pls help me answer this :/​

Answers

Answer:

y = - [tex]\frac{3}{2}[/tex] x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = [tex]\frac{0-6}{4-0}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]

Since the line crosses the y- axis at (0, 6) ⇒ b = 6

y = - [tex]\frac{3}{2}[/tex] x + 6 ← equation of line

4) Members of the school band are buying bouquets of flowers to sell at the fundraiser.
They plan on buying 120 bouquets of flowers. The ratio of the number of bouquets of roses to the number of bouquets of sunflowers will be 5/3. How many bouquets of flowers did they buy?
Bouquet of Roses?
Bouquet of Sunflowers?

Answers

Answer: Roses= 75, Sunflowers= 45

Step-by-step explanation:

Add the ratios- 5 + 3 = 8

Divide the total by the sum = 120 ÷ 8 = 15

Multiply the ratios- 5 x 15 = 75 and 5 x 3 = 45

∴ 5:3 = 75 , 45

Please complete the attached proof. Thanks.

Answers

Answer:

       

Step-by-step explanation:

Suppose a company charges an annual premium of $475 for a fire insurance policy. In case of a fire claim, the company will pay out an average of $100,000. Based on actuarial studies, it determines that the probability of a fire claim in a year is 0.004. What is the expected annual profit of a fire insurance policy for the company?
$

What annual profit can the company expect if it issues 1000 policies?
$

Answers

Answer:

Step-by-step explanation:

1)

the expected annual profit of a fire insurance policy for the company is

475-(100000*0.004)=475-400=75$ of average profit

2)

thus, the expected annual profit of the fire company from 1000 advanced policies is

75*1000=75000$

Gregory drinks 6 liters of water over 2 days. In how many days would he consume another 12 liters?

Answers

Answer:

12 liter in 4 days

Step-by-step explanation:

twice as many days, twice as many liters

Answer:

6 days

Step-by-step explanation:

"another 12 liters" => 12liters + 6 liters = 18 liters

6 liters - 2days

18 liters - x

6x = 18 * 2

x = 6 days

what is the slope of the line shown below?

Answers

Answer:

D. [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Use [tex]m = \frac{y2-y1}{x2-x1}[/tex] to find slope. The m in y = mx + b is always your slope.

D= 1/4 I hope you found this helpful thankyou :)

PLEASE HELP

Perform the indicated operation. Simplify answer

Subtract 3x-7 from 9x+5.

Answers

Answer:

(9x +5)-(3x-7)

6x +12

Step-by-step explanation:

ASAP please, find x

Answers

Answer:

60

Step-by-step explanation:

The answer is 60. It
Is the same as the other angle

HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ME ​

Answers

Answer:

4, 12, 16 (respectively)

Step-by-step explanation:

if you need one just comment and ill add one

[tex]answer = \\ red = 4 \\ blue = 12 \\ green = 16 \\ solution \: \\ let \: the \: ratios \: be \: x \: 3x \: 4x \\ x \ + 3x + 4x = 32 \\ or \: 8x = 32 \\ or \: x = \frac{32}{8} \\ x = 4 \\ replacing \: value \\ 3x \\ = 3 \times 4 \\ = 12 \\ 4x \\ = 4 \times \: 4 \\ = 16 \\ hope \: it \: helps...[/tex]

really need help yall life's depend on it plz help!!!!!!! How many numbers are 10 units from 0 on the number line?

Answers

Answer:

Step-by-step explanation:

2 numbers  : 10 and -10

What is 146 to the nearest square foot

Answers

Answer:

1.0138

Step-by-step explanation:

This conversion of 146 square inches to square feet has been calculated by multiplying 146 square inches by 0.0069 and the result is 1.0138 square feet.

Help and hurry please

Answers

Answer:

D.

Step-by-step explanation:

First try to eliminate answers.

You have to work between 30 and 40 hours to get 1565.

It's not A or B.

Now, you can see that the choices are 31, and 35

1565 is only 15 more than 1550.

It's 31.

What is the difference between -5 and positive three

Answers

Answer: -8

Explanation: -5-3=-8

Please help with this question

Answers

Answer:

for x=i

Step-by-step explanation:

For

1+x²=0 => x²= -1 => x=√-1 => x= i

the given equation is not true

hi what is the answer

Answers

Answer:

1st one:

-23

2nd one:

-32

Step-by-step explanation:

Answer:

a) -23

b) -32

Step-by-step explanation:

8 less than -15

[tex]-15-8[/tex]

[tex]=-23[/tex]

23 less than -9

[tex]-9-23[/tex]

[tex]=-32[/tex]

Please. Answer Giving Brainliest!! (05.07) The net of a pyramid is shown below: The net of a square based pyramid, with base edges labeled 5 inches and the height of the triangle labeled 10 inches. The surface area of the solid is ____ square inches.

Answers

Answer: Area= square

A=5×5= 25

A=triangle 1 & 3

5×10= 50÷2= 25 25+25=50

A=triangle 2&4

10×5=50÷2=25×2=50

Area of 1-4= 25+50+50= 125

A= 125

I hope u get what ur looking for and I wish u give me brainlist But I know u won't cuz everyone say that . But thank you so much if u put for me and It would be a very appreciated from you and again thank you so much

PLEASE HELP MEE ILL GIVE THANKS AND BRANLIEST! Delilah has 150 microphones and each day he gives 10 away to his friends. The number of microphones left, s, if given a function of b, s = 150 - 10b. Solve the equation and determine how many are left.

Answers

Answer:

-10b+150

Step-by-step explanation:

Answer:

-(s-150)/10

Step-by-step explanation:

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