Please help due in 10 minutes

9514 1404 393

Answer:

  25 tables, 5 desks, for a profit of $115

Step-by-step explanation:

Let x and y represent the numbers of tables and desks to build, respectively. The we want to maximize 4x+3y subject to the constraints ...

  x +3y ≤ 45 . . . . . constraint on labor

  10x +20y ≤ 350 . . . . . constraint on wood

 2x +y ≤ 55 . . . . . constraint on finish

These inequalities are graphed in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (25, 5).

The product mix that maximizes profit is ...

  25 tables

  5 desks

for a profit of 25·4 +5·3 = 115 dollars.

Answer:

=50

Step-by-step explanation:

The product of (3+[tex]\sqrt{-16}[/tex])(6-[tex]\sqrt{-64}[/tex]) is 50.

The given expression is (3+[tex]\sqrt{-16}[/tex])(6-[tex]\sqrt{-64}[/tex]).

We need to find the product for it.

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Now,  (3+[tex]\sqrt{-16}[/tex])(6-[tex]\sqrt{-64}[/tex])=(3+4i)(6-8i)

=18+24i-24i-32i²

=18+32=50 (∵i²=-1)

Hence, the product of (3+[tex]\sqrt{-16}[/tex])(6-[tex]\sqrt{-64}[/tex]) is 50.

To learn more about the complex numbers visit:

https://brainly.com/question/28007020.

#SPJ2

Answer:

The capacity of each bottle is 5.45 of waters or 5 L 450 ML of water

Step-by-step explanation:

We are told that:

Naina emptied a tank holding 65 L 400 ML of water into 12 bottles.

We have 65 Liters and 400ml , we convert everything to Liters

1000ml = 1 L

400ml = x L

Cross Multiply

1000 × x = 400 × 1 L

x = 400/1000

x = 0.4L

Hence, the total capacity of the tank, is 65L + 0.4L = 65.4L

Since there are 12 bottles, we assume that each bottle are of the same size hence, the capacity of each bottle is

calculated as:

12 bottles = 65.4 L

1 bottles = x

Cross Multiply

12x = 65.4L

x = 65.4L /12

x = 5.45 L

Hence, the capacity of each bottle is 5.45 or 5 Liters, 450 ML

Answer:

∠TAR =  35°

Step-by-step explanation:

∠TAR = ∠CAR - ∠CAT = (9x + 7) - 5x = 4x + 7

AT bisect ∠CAR       ∠TAR = ∠CAT

4x + 7 = 5x

x = 7

∠TAR = 4 x 7 + 7 = 35

Answer:

64

Step-by-step explanation:

4*2*8

8 containers x 2 packs = 16 packs

16 packs x 4 plants = 64 plants

Therefore, there are 64 plants in total.

Hope this helps :))

Responder:

24 litros; 16 litros; 4 litros

Explicación paso a paso:

Dado que:

Gasolina consumida = 20 litros

Sea la cantidad de gasolina en el tanque = x

Primera parte del viaje = 2/3 de x

Segunda parte del viaje = 1/2 de (x - 2x / 3)

Cantidad de gasolina en el tanque:

2x / 3 + 1/2 (x - 2x / 3) = 20

Solución para x

2x / 3 + x / 2 - x / 3 = 20

(4x + 3x - 2x) / 6 = 20

5 veces / 6 = 20

5 veces = 20 * 6

5 veces = 120

x = 120/5

x = 24

Cantidad de gasolina en el tanque = 24 litros

Litros consumidos en cada etapa:

Primera parte = 2/3 de 24 = 48/3 = 16 litros

2a parte = 0.5 de (24 - 16) = 0.5 * 8 = 4 litros

Answer:

Step-by-step explanation:

the triangles have two equal sides

and one angle

Answer:

X < -2

Step-by-step explanation:

Option B is not an equation since it doesn't have the "=" sign. [It's an expression]

Hope it helps!

Answer:

20a+30=17a+48...

3a=78...

a=78/3=26

Answer:

141.2/175.8=.803185

1-.803185=.1968=20% markdown

ples give brainliest! :D

Answer:

14

Step-by-step explanation:

3x²-2y

3.3²-2.5 (as x=3 and y=5)

3.9-10

27-10

17

2x²-3y

2.3²-3.5 (as x=3 y=5)

2.9-15

18-15

3

As it said to exceed we have to

Substract 1st value by 2nd

17-3

14

I am sure

Answer:

Perimeter = 86m15cm

Step-by-step explanation:

Given:

Sizes = 25m5cm, 20m10cm, 19m, 22m

Find:

Perimeter

Computation:

Perimeter =  25m5cm + 20m10cm + 19m + 22m

Perimeter = 25.05 + 20.10 + 19 + 22

Perimeter = 86m15cm

Answer:

The letter C represents as an unknown number or it can just stand for a word that starts with a C in a word problem. Answer: C= 0.01

Step-by-step explanation:

Hope i helped! :)

Answer:

you pay $48.45

you save $2.55

Step-by-step explanation:

Trust

Answer:

[tex]r=\frac{1}{4}\\\\r=-\frac{5}{4}[/tex]

Step-by-step explanation:

Geometric Sequences

The geometric sequence is given as:

[tex]a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}[/tex]

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

[tex]\displaystyle S_n=a_1\frac{r^n-1}{r-1}[/tex]

We are given: S3=252, a1=192, thus substuting:

[tex]\displaystyle 252=192\frac{r^3-1}{r-1}[/tex]

Dividing by 12:

[tex]\displaystyle 21=16\frac{r^3-1}{r-1}[/tex]

Recall that:

[tex]r^3-1=(r-1)(r^2+r+1)[/tex]

Substituting:

[tex]\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}[/tex]

Simplifying:

[tex]21=16(r^2+r+1)=16r^2+16r+16[/tex]

Rearranging:

[tex]16r^2+16r+16-21=0[/tex]

16r^2+16r-5=0

Rewriting:

[tex]16r^2-4r+20r-5=0[/tex]

Factoring:

[tex]4r(4r-1)+5(4r-1)=0[/tex]

[tex](4r-1)(4r+5)=0[/tex]

Solving:

[tex]r=\frac{1}{4}\\\\r=-\frac{5}{4}[/tex]

Both solutions are valid

Answer:

You have a 50% chance of picking a multiple of 3.

Step-by-step explanation:

If we include 1 and 24 as factors of 24, then the possible choices would be:

1, 2, 3, 4, 6, 8, 12, 24

Of those, the only ones that are multiples of 3 are 3, 6, 12 and 24.  Meaning that the chance of getting a multiple of 3 is 4/8, or 1/2, i.e. 50%

If we don't include 1 and 23, then we have:

2, 3, 4, 6, 8, 12

and 3, 6 and 12 are divisible by 3.

Which again gives 1/2, or 50%

So regardless of whether 1 and 24 are included, the chance of picking a multiple of three from the factors of 24 is 50%.

Answer:

It should be A

Step-by-step explanation:

This is because when we insert 3 into x we would get:

y = -2

By looking at the pics only one looks setting to the formula

Answer:

Step-by-step explanation:

We can solve this problem by substituting the values  for x  in the equation.

if we put x = 0, Y will be -4

if we put x = 3, Y will be -2

Now you can put the dots on the graph paper and draw the lines.

The Anser is 1

Answer:

Now Simon should multiply 916 by 2.

Step-by-step explanation:

Now Simon should multiply 916 by 2.

Answer:

x=−2 or x=−3

Step-by-step explanation:

Answer:

Step-by-step explanation:

the commission is 3%

of 640

640*(3/100)=19.20 dollars

Answer:

56 ft^2

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

This two shapes are similar. 9 is being divided by 1.5 to give 6. Therefore we'll also divide 6 by 1.5 to us 4

Answer:

d

Step-by-step explanation:

they made 5 and have three left hope I helped good luck

Answer:

65 percent

Step-by-step explanation:

50 and is for sale at 32.50 dollars

ok to now this

32.5/50=0.65 multiply by 100

65 percent

Answer:

y=1.6x+4

Step-by-step explanation: