A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 8 labor-hour s for assembling and 2 labor-h ours for finishing. A chair requires 2 labor-hours for assembling and 1 labor-hour for finishing. The maximum labor-hours available p er day for assembly and finishing are 400 and 120, respectively. If x is the number of tables and y is the number of chairs produced per day, write a system of linear inequalities that indicates appropriate restraints on x and y.

Required:
Find the set of feasible solutions graphically for the number of tables and chairs that can be produced.

Answer:

108 seconds i belive

Step-by-step explanation:

40 x 2 = 80 seconds and if you add the 9ft 108 seconds

Answer:

g(x) = 6x - 8

h(x) = 2x^2 + 4x - 5

Step-by-step explanation:

g(x) = 6x - 8

h(x) = 2x^2 + 4x - 5

Answer:

Hi

Step-by-step explanation:

I have the same question, did you figure it out?

Answer:

Step-by-step explanation:

Given function:

Here we have:

Answer:

y = 50 + 35x we dont know how many hours they worked

Step-by-step explanation:

Answer:

f(x) = -4x + 21

Step-by-step explanation:

Given:

(4, 5) and (2, 13)

Required:

Linear function of that passes through the given points

Solution:

We need to determine the slope (m) and y-intercept (b) of the function.

✔️Finding the slope using the points given:

Slope (m) = change in y/change in x

= (13 - 5)/(2 - 4)

= 8/-2

m = -4

✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b

5 = -4(4) + b

5 = -16 + b

5 + 16 = b

b = 21

✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b

f(x) = -4x + 21

Answer:

The rectangle is 5 inches long by 19 inches wide.

Step-by-step explanation:

Let's start by listing what we know:

Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.

[tex]\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.[/tex]

Now, let's solve the system of equations using substitution:

[tex]2w + 2l = 48[/tex]

[tex]2 (3l + 4) + 2l = 48[/tex]

[tex]6l + 8 + 2l = 48[/tex]

[tex]8l + 8 = 48[/tex]

[tex]8l = 40[/tex]

[tex]l = 5[/tex]

The length of the rectangle is 5 inches.

Now, let's use this to solve for the width.

[tex]w = 3l + 4[/tex]

[tex]w = 3(5) + 4[/tex]

[tex]w = 15 + 4[/tex]

[tex]w = 19[/tex]

The width of the rectangle is 19 inches.

Let's check our work:

[tex]2w + 2l = 48[/tex]

[tex]2(19) + 2(5) = 48[/tex]

[tex]38 + 10 = 48[/tex]

[tex]48 = 48[/tex]

The results match, so our answer is correct.

The rectangle is 5 inches long by 19 inches wide.

Answer:

[tex]\{\ldots -89,-42,5,52,99,\ldots\}[/tex]

Step-by-step explanation:

His number must be an integer multiple of 47, plus 5.

[tex]47n+5[/tex]  where n  is any integer.

Answer:

i think option C is correct hope it helps

Answer:

C) 2,376.79 m squared

Step-by-step explanation:

Answer:

Option A) outside

[tex]----------[/tex]

hope it helps..

have a great day!!!

Answer:

Area: ½ × base × height

Perimeter: sum of side lengths of the triangle

of vertices: 3

Number of edges: 3

Internal angle: 60° (for equilateral)

Sum of interior angles: 180°

Step-by-step explanation:

Answer:

Add up the area of all the sides

Step-by-step explanation:

Surface area is the shell of a 3d shape, not the volume so you add the outside of the shape.

Hope this helps! :)

Answer:

D. 69°

Step-by-step explanation:

Opposite angles are congruent.

Answer:

N is also 69 so the an is D) 69

Step-by-step explanation:

Answer:

33. 18

34. 50

35. 50

36. 5

37. 1

38. 24

Step-by-step explanation:

Explanation found on photo! Hope it helped and my apologies for my messy work

Answer:

D

Step-by-step explanation:

she has 280 and no more so 280 divided by 8 is 35

Answer:

D is the correct answer

Step-by-step explanation:

280/8=35

Answer:

y=2/7x+2.5

Step-by-step explanation:

Answer:

for example

Step-by-step explanation:

(1,3)

the one would go on the bottom.

and the 3 would go on the vertical side!

hope that helped! :)

Answer:

Length of MN = 65.68 feet (Approx.)

Step-by-step explanation:

Given:

Height of NO = 60 feet

Angle ∠M = 66°

Find:

The length of MN

Computation:

Given triangle is a right angled triangle

So,

NO is a perpendicular

MN is hypotenuse

Using trigonometry functions

Sin θ = Perpendicular / Hypotenuse

Sin 66 = NO / MN

0.9135 = 60 / Length of MN

Length of MN = 60 / 0.9135

Length of MN = 65.68 feet (Approx.)

Answer: approximately 65.6782 = 65.7

Step-by-step explanation:

Answer:

Should be 24:18

Step-by-step explanation:

E

Answer:

Oof I have no idea 0_0

Step-by-step explanation:

I dont have brainly plus but I still have unlimited access...

I'm so sorry!!!

Have a nice day <3

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

OR

The length is 16 cm while the width is 4cm.

Hope this helps!!

Answer:

It SHOULD be 527.79(m2) If I'm not mistaken.

Step-by-step explanation:

Answer:

7000

Step-by-step explanation:

7×1000=7000

5×5=25÷5=5-5=0

Step-by-step explanation:

Prime Factors for 24: 2, 2, 2, and 3.

Prime Factors for 32: 2, 2, 2, 2, and 2.

Answer:

Prime Factors for 24: 2, 2, 2, and 3.

Prime Factors for 32: 2, 2, 2, 2, and 2.

Step-by-step explanation:

Answer:

Step-by-step explanation:La Gran Pirámide de Giza (también conocida como la Pirámide de Keops o la Pirámide de Keops) es la más antigua y más grande de las pirámides del complejo piramidal de Giza que limita con la actual Giza en el Gran Cairo, Egipto. Es la más antigua de las Siete Maravillas del Mundo Antiguo y la única que permanece prácticamente intacta.

Los egiptólogos concluyen que la pirámide fue construida como una tumba para el faraón egipcio Jufu de la Cuarta Dinastía y estiman que fue construida en el siglo 26 aC durante un período de alrededor de 27 años. [3]

Inicialmente con 146,5 metros (481 pies), la Gran Pirámide fue la estructura más alta hecha por el hombre en el mundo durante más de 3.800 años. A lo largo de la historia, se eliminó la mayor parte de la cubierta de piedra caliza blanca lisa, lo que redujo la altura de la pirámide a los actuales 138,5 metros (454,4 pies). Lo que se ve hoy es la estructura central subyacente. Se midió que la base era de unos 230,3 metros cuadrados, lo que da un volumen de aproximadamente 2,6 millones de metros cúbicos (92 millones de pies cúbicos), que incluye un montículo interno. [4]

Las dimensiones de la pirámide, expresadas en unidades de medida del antiguo Egipto, eran de 280 codos de alto, una longitud de base de 440 codos, con un seked de 5+

1

/

2

palmeras (pendiente de 51 ° 50'40 ").

La Gran Pirámide se construyó extrayendo aproximadamente 2,3 millones de bloques grandes con un peso total de 6 millones de toneladas. La mayoría de las piedras no son uniformes en tamaño o forma y solo están vestidas de manera tosca. [5] Las capas exteriores se unieron con mortero. Se utilizó principalmente piedra caliza local de la meseta de Giza. Otros bloques fueron importados en barco por el Nilo: piedra caliza blanca de Tura para la carcasa y bloques de granito de Asuán, con un peso de hasta 80 toneladas, para la estructura de la Cámara del Rey. esto podría ayudar lo siento si no

Answer:

4 × 10^4

→ 4× 10000

→ 40000

Correct option → 40000

hope it helped :)

I think 2,492.

But you said round so maybe 2,500.

Answer:

5[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

GCF of 4 and 6 is 12

1/6 = 2/12

3/4 = 9/12

4 + 1 = 5

2/12 + 9/12 = 11/12

5 11/12

Answer:

Step-by-step explanation:

First you want to make the denominators in the fractions the same number. To do so, we need to multiply both the numerators and the denominators. Do this until the denominators are the same.

[tex]\frac{1}{6} *\frac{4}{4} = \frac{4}{24}[/tex]

[tex]\frac{3}{4} *\frac{6}{6} = \frac{18}{24}[/tex]

Now add

[tex]4\frac{4}{24} + 1\frac{18}{24} = 5\frac{22}{24}[/tex]

After adding, you need to multiply the whole numbers by the denominator and add that number to the numerator.

[tex]5*24=120[/tex]

[tex]\frac{120}{24} +\frac{22}{24} = \frac{142}{24}[/tex]

Finally simplify

[tex]\frac{142}{24} / \frac{2}{2} = \frac{71}{12}[/tex]

Answer:

Quantity = 5 grapes

Step-by-step explanation:

Given the following data;

Quantity of grapes = 20

Cost = 48

To find the cost of each grape;

Cost of each grape = total cost/quantity

Cost of each grape = 48/20

Cost of each grape = $2.4

Now, to find how many grapes $12 can buy;

Quantity = total cost/cost of each grapes

Quantity = 12/2.4

Quantity = 5 grapes

Therefore, $12 can buy 5 grapes.