A local sandwich shop
received an order for
35 turkey sandwiches,
30 chicken sandwiches,
And 35 vegetarian
sandwiches. If each of the
four cooks made an equal
number of sandwiches, how
many did each cook make?

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) The algebraic expression for the general term of the sequence is [tex]a(i) = 6 + 5\cdot (i - 1)[/tex].

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

[tex]a(i) = a_{1} + r\cdot (i - 1)[/tex] (1)

Where:

[tex]a_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Arithmetic difference.

[tex]i[/tex] - Index.

If we know that [tex]a_{1} = 6[/tex] and [tex]r = 5[/tex], then the algebraic expression for the general term of the sequence is:

[tex]a(i) = 6 + 5\cdot (i - 1)[/tex]

c) If we know that [tex]a(i) = 6 + 5\cdot (i - 1)[/tex] and [tex]i = 25[/tex], then the 25th term in the sequence is:

[tex]a(25) = 6 + 5\cdot (25 - 1)[/tex]

[tex]a(25) = 126[/tex]

The 25th term in the sequence is 126.

Answer:

C

Step-by-step explanation:

C i did the test

The correct rule for the graph shown will be;

⇒ y = 3x

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph is shown in figure.

Two points on the graph are (2, 6) nd (3, 9).

Now,

Solve for the correct rule of the graph as;

Since, The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

So, We find the slope of the line as;

Two points on the graph are (2, 6) and (3, 9).

Hence,

m = (9 - 6) / (3 - 2)

m = 3/1

m = 3

Thus, The equation of line in point-slope form passing through the points (2, 6) and (3, 9).with slope 3 is defined as;

⇒ y - y₁ = m (x - x₁)

⇒ y - 6 = 3 (x - 2)

⇒ y - 6 = 3x - 6

⇒ y = 3x

Thus, The correct rule for the graph shown will be;

⇒ y = 3x

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Answer:

0.25

Step-by-step explanation:

Answer:

-8 = m-2+b

-2 = m-0+b

4 = m2+b

10 = m4+b

Step-by-step explanation:

You just put them in y = mx+b format

Answer:

The zeros are between -4 and -3, and between 0 and 1

Step-by-step explanation:

Here, we want to location of the zeros

As we can know, at the zeros of a quadratic function, the y value at those point is zero

So whenever we have y value being zero, we have it that the x value at that point is a zero or root of the quadratic function

Now, looking at the table, we can see that between the point x = -4 and -3; y moved from -2 to 2

For this movement to occur, we must have passed through 0 as we have -1 ,0 and 1 between the numbers as -2 and 2

So obviously, the root is between -4 and -3

Secondly as we can see, f(x) moved from 2 to -2

The numbers between here are 1 , 0 and -1

So definitely the root lies between the x values of 0 and 1

Step-by-step explanation:

they need to add up to -56

and multiply to 180

Answer:

$449.5

Step-by-step explanation:

Given data

Earning rate=  $15.50 per hour

Number of hours worked = 29 hours

Hence the amount earned is

=15.5*29

= $449.5

Hence the total amount she earned is $449.5

Answer:

it wold be A

Step-by-step explanation:

Answer:

Step-by-step explanation:

surface area of cuboid=2h(l+w)

=2*2(12+5)

=4*17

=68 cm^2

Answer:

188 cm²

Step-by-step explanation:

TSA of cuboid = 2(lb + bh + hl)

= 2 {(12*2) + (2*5) + (5*12)}

= 2 (24 + 10 + 60)

= 2 (94)

= 188cm²

Answer:

the radius would be 5 centimeters

Answer:

243

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2-16y-4x-12=0

Transpose and separate x and y

16y = x^2-4x-12

16y = (x^2-4x+4) -16

16y = (x-2)^2 -16

y = (1/16)(x-2)^2 -1

This means that the vertex is at

(x-2)=0 or x=2

y = -1

=> vertex (2,-1)

Answer:

12% increase

Step-by-step explanation:

Have a good day :)

Answer:

$6

Step-by-step explanation:

Set up a system of equations where b is the cost of a book and m is the cost of a movie:

9b + 5m = 124

4b + 21m = 318

Solve by elimination by multiplying the top equation by -21 and the bottom equation by 5:

-189b - 105m = -2604

20b + 105m = 1590

Add the equations together, then solve for b:

-169b = -1014

b = 6

So, the cost of a book is $6

Answer:

Do you want the derivative?!

Answer:

Step-by-step explanation:

multiplication:  (x-1)  *  (x+3)  *  (x-4)

(x-1) * (x+3)

x^2 + 2x - 3

(x^2 + 2x -3)(x-4)

x^3-2x^2-5x+ 12

finding the zeroes:

(x-1)         (x+3)    (x-4)

x-1:0      x+3:0     x-4:0

+1:1          -3:3     +4: 4

x: 1            x:3        x:4

Answer:

Measurements= 7.08/3.2

Area of rectangle= 7.08cm×3.2cm

= 22.656 cm(square)

Answer:

Step-by-step explanation:

The crossed chords theorem says that the segments of one chords multiplied together = the segments of the other chord multiplied together.

Equation

x * 8 = 6 * 12

8x = 72                  Divide by 8

8x/8 = 72/8

x =9

Answer: ₹2646

Step-by-step explanation:

Given

The volume of the room is [tex]V=270\ m^3[/tex]

cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]

So, the area of walls is

[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]

This the area of 4 walls i.e.

[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]

The volume of the room is given by

[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]

So, the length of the room is

[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]

The area of the floor is

[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]

The cost of flooring is

[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]

Answer:

A, 1 inch equals 5 feet.

Step-by-step explanation:

To calculate the answer you have to divide

30 ÷ 6 = 5

So, 1 inch represents 5 feet.

Have a great day!

Answer:

the answer is A

Step-by-step explanation:

do 30÷6 and you get 5ft. so, 1 inch represents 5ft

Answer:

The correct answer is 0 or A

Step-by-step explanation:

2/0+2 + 1/5 = 6/0+5

2/2 + 1/5 = 6/5

1 + 1/5 = 6/5

5/5 + 1/5 = 6/5

6/5 = 6/5

Answer:

Yes

Step-by-step explanation:

So permiter is two*lengths plus 2*width of a shape.

Area is the length times the width.

For examplel if a square has a length of 2, and a width of 3 the permiteter is:

2*2+3*3=

4+9

=

13

On the other hand, area  would be:

2*3

=

6

I hope this helps!

Answer:

AB XY

Step-by-step explanation:

They are congruent side angles

Answer:

wh

at am I helping u wit lol use googl

Answer:

It's a cubic monomial now that it's written 3and a multiplication sign meaning three times which is also 3cubed so the answer is C

Answer:

11.6

Step-by-step explanation:

Answer:

A- ⅓(12)(8)(10

Step-by-step explanation:

Volume of a pyramid is ⅓length×width×height

Answer:

20 min

Step-by-step explanation:

To go 1 mile it takes her 10 min (5 = 1/2 multiply both sides by 2) and to get to school it would take her 2 miles, so it would take 10 min.

Answer:

102

Step-by-step explanation:

3x + 6y = 978

x = 122

6y = 978 - 366

y = 612 / 6

y = 102

Answer: [tex]64\ cm^3[/tex]

Step-by-step explanation:

Given

The edge length of the cube is 4 cm

If it is to be filled, then the entire volume of the cube is needed

The volume of the cube [tex](\text{edge length})^2[/tex]

[tex]\Rightarrow V=4^3\\\Rightarrow V=4\times 4\times 4\\\Rightarrow V=64\ cm^3[/tex]

Thus, 64 cubic centimeters is required.