HELP ASAP A furniture manufacturer must pay $16.91 to make a certain kind of chair, which it can sell for $55.75. If the manufacturer has starting overhead costs of $18,340, not including production costs, how many chairs must it sell to realize a profit of $24,850, to the nearest chair?
a. 1,112
b. 918
c. 775
d. 640

(10 points and brainliest if the answer is right)

Answer:

scale = 14.5 cm perimeter

actual = 29 inch perimeter

Step-by-step explanation:

To find the perimeter of the scale drawing, we can just add up the scale sides.

This would be 2.5 + 2.5 + 4.75 + 4.75 = 14.5 cm perimeter

For the real flag, we know that for each cm on the scale flag, it represents 1 inch on the actual flag.

2.5/.5 = 5 inch length

4.75 / .5 = 9.5 inch width

5 + 5 + 9.5 + 9.5 = 29 inch perimeter

Part a)

Given the expression

[tex]54m^3n\:+\:81m^4n^2[/tex]

Apply exponent rule:    [tex]a^{b+c}=a^ba^c[/tex]

[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn[/tex]     ∵ [tex]m^4n^2=m^3mnn[/tex]

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

                             [tex]=2\cdot \:27m^3n+3\cdot \:27m^3mnn[/tex]

Factor out the common term:   27m³n

                              [tex]=27m^3n\left(2+3mn\right)[/tex]      

Therefore,

[tex]54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)[/tex]

Part B)

Given the expression

[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z[/tex]

Apply exponent rule:    [tex]a^{b+c}=a^ba^c[/tex]

[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z[/tex]

Rewrite as

                                               [tex]=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z[/tex]

Factor out common term 5y²x²z

                                                [tex]=5y^2x^2z\left(3y+5x+7\right)[/tex]

Therefore,

[tex]15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)[/tex]

Answer:

0

Step-by-step explanation:

The y-intercept of y = -3x is zero.

Answer:

0

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -3x

Step 2: Break Function

Identify Parts

Slope m = -3

y-intercept b = 0

*We assume that if the variable isn't there, it is 0 or being multiplied by 0.

Answer:

12 pairs

Step-by-step explanation:

Represent Brown with B and Black with A

So:

[tex]A + B = 20[/tex] --- Pairs sold

[tex]30B + 35A = 640[/tex] --- Amount

Required

Solve for B (the brown pairs)

Make A the subject in the first equation

[tex]A = 20 - B[/tex]

Substitute 20 - B for A in the second

[tex]30B + 35(20-B) = 640[/tex]

Open bracket

[tex]30B + 700 - 35B = 640[/tex]

Collect Like Terms

[tex]30B - 35B = 640 -700[/tex]

[tex]-5B = -60[/tex]

Divide both sides by -5

[tex]B = \frac{-60}{-5}[/tex]

[tex]B =12[/tex]

Given:

The expression is:

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

It can be rewritten as

[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]

[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex]        [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex]        [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]

[tex]=\dfrac{-8}{9}[/tex]        [tex][\because \sqrt[n]{x^n}=x][/tex]

The value of given expression is [tex]\dfrac{-8}{9}[/tex].

Therefore, the correct option is b.

Answer:

The expression : 12x + 2.50y

Total cost = $103.5

Step-by-step explanation:

The number of people that went to the movie = x

Number of people that bought drinks = y

Total cost = 12x + 2.50y

Eight people went to a movie and three of them purchased a drink

Total cost = 12 × 8 + 2.50 × 3

Total cost = 96 + 7.5

Total cost = $103.5

Answer:

[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]

Answer:

8 wrong and 15 right if every question is the same points

Step-by-step explanation:

3.26/5 is 0.652

15/23 is 0.652 ish rounded

So I assume 8 wrong

Answer:

2% of 65

2/100*65

13/10

1 3/10

Answer:

15/2=7 R1

Step-by-step explanation:

Answer:

π(12x^3y^5z)^2

Step-by-step explanation:

I doubt your teacher would want you to evaluate the whole thing but if they do leave a comment

Answer:

There is no x-intercept, only a y-intercept, which would be 1

Answer:

6 minutes

Step-by-step explanation:

Given

Leo = 36 sec / rev

Stan = 40 sec/rev

Required

Determine the time (in minutes) they'll meet again

We start by getting the multiples of 36 and 40 uptil we get a common multiple.

Leo: 36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, .....

Stan: 40 = 40, 80, 120, 160, 200, 240, 280, 320, 360....

From above, the common multiple is:

Common Multiple = 360

This means that they'll meet at 360 seconds

Convert to minutes

360 sec = 360/60 mins

360 Seca = 6 mins

Hence,it will take them 6 minutes to meet again at the starting point

Answer:

32 cubes

Step-by-step explanation:

I would first determine the volume in inches of the rectangular prism.

V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.

Then I would calculate the volume of the cube with 1/6 inch sides

V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.

Then I would divide the V of the large prism by the V of the small cube

(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes

Answer:

380

Step-by-step explanation:

171:45=3,8

3,8*100=380

Answer:

(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x²  +  1).

(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.

Step-by-step explanation:

(i) Given;

Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3

Factor, = x + 3

            x = -3

if (x + 3) is a factor of the polynomial, then p(-3) = 0

p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3

        = 81 -108 + 36 - 12 + 3

        = 0

(x + 3) is a factor of the given polynomial and the remainder is 0.

The remaining factors can be obtained as follows;

               x³  +  x² + x + 1

            --------------------------------

x + 3 √x⁴ + 4x³ + 4x² + 4x + 3

        - ( x⁴  + 3x³)

          --------------------------------

                    x³ +  4x² + 4x + 3

                   -(x³  + 3x²)

          ----------------------------------

                            x² + 4x + 3

                          -(x²  + 3x)

         ---------------------------------------

                                     x + 3

                                   -(x + 3)

           ---------------------------------------

                                          0

 Further divide x³  +  x² + x + 1  by x + 1

                      x²  +  1

                    ---------------------

        x + 1 √x³  +  x² + x + 1

                 -(x³  +  x²)

                  ------------------------

                                   x +  1  

                                 -( x  + 1)

                             -----------------

                                      0              

Thus, the factors of  x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x²  +  1)

(ii) Given;

Polynomial, p(x)= 2x⁴ - 5x² - 2

Factor, = x + 1

            x = -1

if (x + 1) is a factor of the polynomial, then p(-1) = 0

p(-1) = 2(-1)⁴  - 5(-1)² - 2

       = 2 - 5 - 2

       = -5

Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.

Given:

The point is (6,2).

To find:

The image of given point after rotation of 270 degrees.

Solution:

Let the given point be P(6,2).

Rotation of 270 degrees means the figure is rotated 270 degrees counterclockwise about the origin. So, the rule of rotation is

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex]P(6,2)\to P'(2,-6)[/tex]

Therefore, the image of given point is (2,-6).

your answer is

22.5

good luck :)

Answer:

A

Step-by-step explanation:

Answer:

B.

hope it helps...........

Answer:

Pretty sure 25%.

Step-by-step explanation:

First, you would need to see how many times 60 goes into 100, because a percent is ALWAYS over 100. You should get an answer of 1.66666667. Then you if you multiply it to one of the numbers then you have to do it to the other number. So, you would do 15 times 1.66666667. You would get 25. So, that would be 25 over 100 or 25/100. And 25 over 100 is 25%.

I hope I helped! :) Sorry if it's wrong :(

Answer:

$400

Step-by-step explanation:

1000 grams in a kilogram

25,000 total grams= 25 kg

25kg/ 5 kg per package

=5 packages

5 packages * $80 each

=$400 total cost

Answer:

1,75678

Step-by-step explanation: multiply it

Answer:

a is the correct answer i just took the test

Answer: No, because group B should be rhe control group

Step-by-step explanation:

Answer: $6.04

Step-by-step explanation:

add 65.25 and 86.50 you get 151.75 then do 157.79-151.75 and you get 6.04

Answer:

D) 133

Step-by-step explanation:

The total angle of a line is 180 degrees.

If you subtract angle FBE from line FD, you will get angle EBD.

180-47= 133.

Answer:

5x-10=60 being vertically plopposite angle .

Answer:

14; vertical

Step-by-step explanation:

since these are vertical angles, they will equal the same;

5x - 10 = 60

add 10

5x = 70

divide by 5

x = 14

Answer:

The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.

Answer:

Answer is<

Step-by-step explanation:

the square root of 54 is 7.34<7.4