Find the measure of angle 3.

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000

b) The matrix equations are solved

c) The solution to the system of equations is

The number of chicken feed = 500

The number of careful calculators = 200

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

Let the number of chicken feed be represented as x

Let the number of careful calculators be y

Now , the equation will be

Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume

And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume

Substituting the values in the matrices , we get

[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]

On simplifying the matrix equation , we get

2x + 3y = 1600   be equation (1)

40x + 50y = 30000   be equation (2)

Now , multiply equation (1) by 20 , we get

40x + 60y = 32000   be equation (3)

Subtracting equation (2) from equation (3) , we get

10y = 2000

Divide by 10 on both sides of the equation , we get

y = 200 careful calculators

Substituting the value of y in equation (1) , we get

2x + 3 ( 200 ) = 1600

2x + 600 = 1600

Subtracting 600 on both sides of the equation , we get

2x = 1000

Divide by 2 on both sides of the equation , we get

x = 500 chicken feeds

Therefore , the value of x and y are 500 and 200 respectively

Hence , the system of matrix equations are solved

To learn more about matrix multiplication click :

https://brainly.com/question/13198061

#SPJ2

9514 1404 393

Answer:

Step-by-step explanation:

Lines AA', BB', and CC' all converge at the origin. The origin is the center of dilation.

__

Each image point is twice as far from the origin as its corresponding pre-image point. The scale factor is 2.

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 2a+b when the value of a is 5 and b is 4  is equal to 14.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the expression 2a+b, whose values are needed to be calculated when the value of a is 5 and the value of b is 4. Therefore, the value of the given expression 2a+b can be written as,

2a + b

Substitute the value of a and b,

= 2(5) + 4

= 10 + 4

= 14

Hence, the value of the expression 2a+b when the value of a is 5 and b is 4 is equal to 14.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

The answer is C.

Step-by-step explanation:

Firstly, you have to find the new commission sales after first 5 computera are sold. In order to do so, you have to multiply it by 1.5 :

$100 × 1.5 = $150

Next, you have to find the total amount :

($100×5) + ($150×3)

= $500 + $450

= $950

Answer:

Step-by-step explanation:

   900000

+18765439

=27765439

Answer is 27765439

Answer:

28

Step-by-step explanation:

There were 7 chairs in each row, now they add three more to each row so now there's 10 chairs per row. There were 56 chairs altogether previously but now they need 5 times more so 56 times 5 equals 280. so with ten chairs per row and 280 chairs in total: 280/10 = 28. You'll need 28 rows

Answer:

Angle 1 = 128

Angle 2 = 52

Angle 3 = 68

Angle 4 = 60

Angle 5 = 124

Step-by-step explanation:

Had to use supplementary theorem, vertical angles theorem, and that the angles of a triangle add up to 180.

I hope this helps!

Answer:

300 students

Step-by-step explanation:

divide 60 by 3 to find how many students there are per teacher: 60/3 = 20

multiply 20 by 15 to find how many students there are for 15 teachers:

20 x 15 = 300

Answer:

52 R17

Step-by-step explanation:

52 * 36 = 1872

1889 - 1872 = 17

--> 52 R17

Answer:

Step-by-step explanation:

If the question is:

x^2 + 16 + 86 = (x+A)^2 + B

Then the answer is , A= +/- 4 and B=86

Answer:

2

Step-by-step explanation:

-1-11/-4-2 = -12/-6 = 2

The required slope for the linear relationship is -2.

Slope to be determine for table x = -4  2   5,  y = 1   -1  -7 showing linear relationship.

Slope of function is defined as the rate at which function is increasing.

Here, slope

[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]

Thus, the required slope for the linear relationship is -2.

Learn more about slope here:
https://brainly.com/question/3605446

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

Its 49

Step-by-step explanation:

Can i get brainliest

Answer:

It's 2

Step-by-step explanation:

Positive 2.

(not -1/2)

Answer:

120 miles in 2 hours

Step-by-step explanation:

120 = 60(2)

Answer:

i. a = 8.7, b = 7.1 and c = 11.2

ii. A = [tex]50.7^{o}[/tex], B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Step-by-step explanation:

Given a right triangle with, b = 7.1 and B = [tex]39.3^{o}[/tex].

I. Applying the trigonometric function to determine leg a, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]39.3^{o}[/tex] = [tex]\frac{7.1}{a}[/tex]

a = [tex]\frac{7.1}{Tan 39.3^{o} }[/tex]

  = 8.675

The length of leg a is 8.7.

ii. To determine leg c,

Sin [tex]39.3^{o}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

              = [tex]\frac{7.1}{c}[/tex]

⇒c = [tex]\frac{7.1}{Sin39.3^{o} }[/tex]

     = 11.21

The length of leg c is 11.2.

iii. Given that: B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Then,

A + B + C = [tex]180^{o}[/tex]  (sum of angles at a point)

A + [tex]39.3^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]

A + [tex]129.3^{o}[/tex] = [tex]180^{o}[/tex]

A = [tex]180^{o}[/tex] - [tex]129.3^{o}[/tex]

  = [tex]50.7^{o}[/tex]

Answer: 31

Step-by-step explanation:

180-20-35 = 125 (bottom triangle)

180 - 156 = 24

125 + 24 = 149

180-149 = your answer

Answer:

4x+8=y

Step-by-step explanation: This is because you take everything and isolate the y you take the 8x and subtract it from the other side then after that you divide everything by -2 to get your answer

Answer:

D) 80

Step-by-step explanation:

30 x 80 = 24

  100

30/100 = 24/80

30% = 24

24 is 30% of 80

Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

Answer:

Option 2 you welcome

explanation: I had this question a while back and I'm 100% sure that this is the right answer!

Answer:

the answer is d.

Answer:

no its not correct, the answer is d

Step-by-step explanation:

too long to explain, just trust me man

Given:

Perimeter of the triangle = 99 ft

Length of two sides are 20 ft and 42 ft.

To find:

The length of missing side.

Solution:

Let the missing side be x.

Perimeter of a triangle is the sum of all sides of that triangle.

[tex]x+20+42=99[/tex]

[tex]x+62=99[/tex]

Subtract 62 from both sides.

[tex]x=99-62[/tex]

[tex]x=37[/tex]

Therefore, the missing side of the triangle is 37 ft.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]( \frac{ - 3 + 3}{2} \: , \: \frac{ - 2 + 2}{2} ) = ( \frac{0}{2} \: , \: \frac{0}{2} ) = \\ [/tex]

[tex](0 \: , \: 0)[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( C )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

The expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]

Option D is correct.

Step-by-step explanation:

We need to solve the expression [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex]

Since it is a fraction, and all terms are multiplying with each other we can cancel out common terms.

Since x-4 is both in numerator and denominator so, it will be cancelled out and we will get:

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

So, the expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]

Option D is correct.

Answer:

D.) x+2/x+4

I took the quiz :)

Step-by-step explanation:

Answer:

It is the first answer y=- x + 5 and y = x - 3

Step-by-step explanation:

y=-x+5 and y=x-3 is the system of linear equations for the given table values.

Two or more expressions with an Equal sign is called as Equation.

A system of linear equations is usually a set of two linear equations with two variables.

x       y

0      5

5      0

2      3

4       1

Let us find equation of these values by considering any two points.

Slope: m=1-3/4-2=-2/2=-1

1=-1(4)+b

1+4=b

b=5

So y=-x+5 is the linear equation for first table.

x        y

0       -3

3       0

5       2

-1       -4

Slope m=-4-2/-1-5=-6/-6=1

Now find the y intercept

-4=1(-1)+b

-4+1=b

-3=b

y=x-3 is the equation of second table.

Hence,  y=-x+5 and y=x-3 is the system of linear equations for the given table values.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

x=3

Step-by-step explanation:

-5 = 3x - 14

+14 + 14

3/9 = 3/3x

3 = x

Answer:

i hope you find the answer but unfortunaatly im not sure

Step-by-step explanation: thankyou for the points though :)

Answer:

14 +3 - 17

6-4 = 2

1 -9 = -8

Step-by-step explanation:

Answer:

14+3= 17

6-4= 2

1 -9= -8

Step-by-step explanation: