A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.

You are responsible for any repairs.

Sum of two angles that are supplementary = 180°

Ratios in which they have been given their measurement = 1 : 3

Total number of parts = 1 + 3 = 4

Each part = 180÷4 =

[tex]Each \: part = \: \frac{180}{4} [/tex]

Each part = 45°

Measure of smaller angle = 45 × 1 = 45°

[tex]Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°[/tex]

[tex]Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: [/tex]

∴ The measure of the larger angle in degrees = 145° .

Answer:

5.08

Step-by-step explanation:

5   8/100

Since there are 2 zero's in 100, we need two numbers in the top

Replace 8 with 08 which is the same number

5  08/100

Now write as a decimal

5.08

Answer:

B. 5.08

Step-by-step explanation:

I hope this helps!

Answer:

$250

Step-by-step explanation:

Total money he has - $500

He buy a bike for - $200

500 - 200 = 300

Balance - $300

10% tax

10 x 300/100 = 30

300 - 30 = 270

He payed $`20 extra

170 - 20 = 250

Balance = $250

He had $250 balance in his pocket money

Hope you understand

:-)

Answer:read the explanation

Step-by-step explanation:

The processors that power computers are able to perform calculations quickly, and the calculations are performed using Boolean algebra. People generally solve math problems using a base-10 number system. Boolean algebra relies on base-2 math, in which all numbers are represented using ones and zeros.

In addition to calculating basic math problems, however, computers also use Boolean logic. This logic, which is rooted in discrete mathematical principles, allows computers to solve problems that require making logical decisions. Boolean algebra and logic combine to make sophisticated devices; self-driving cars, for example, use the input calculated from digital cameras to make decisions about how to navigate.

Answer:

48

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

i just did this.

Answer: (0, 3)

Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.

So we have 3y - 4(0) = 9.

This simplifies to 3y = 9.

Dividing both sides by 3, we find that y = 3.

So our y-intercept is 3 which we can write as the ordered pair (0, 3).

Answer:

I think you should delete it because as you said it is distracting you. I think you should just focus on your studies if that is the most important thing to you

Answer:

1)14oz

2)28oz

Step-by-step explanation:

1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)

42*1/3=14

So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.

So that means she has 28 oz of water left when she gets there.

Answer:

vfvgyfygj

Step-by-step explanation:

gvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvdyu so yeah

[tex]7 + \dfrac{2}{3x} = - 1 \\ \implies \: \dfrac{2}{3x} = - 1 - 7 \\ \implies \: \dfrac{2}{3x} = - 8 \\ \implies \: 2 = - 24x \\ \implies \: x = - \dfrac{2}{24} \\ \implies \: x = - \dfrac{1}{12} [/tex]

Answer:

x = -12

Step-by-step explanation:

multiply all terms by 3 to get whole numbers

->21+2x=-3

subtract 21 both sides to isolate the variable

->2x=-24

divide by 2 both sides to simplify

->x=-12

Answer: Do you have the original ration so we can simplify it then??

Step-by-step explanation:

Answer:

Morgan can read [tex]\frac{3}{4}[/tex] of a page in 1 minute.

Step-by-step explanation:

If you divide 45 ÷ 60 you get 0.75 which is equal to [tex]\frac{3}{4}[/tex].

Morgan can read 0.75 pages in 1 minute.

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

To find out how many pages Morgan can read in 1 minute, we divide the total number of pages she read by the time it took her to read them. This gives us the average number of pages she read per minute.

In this case, Morgan read 45 pages in 60 minutes. So, we divide 45 pages by 60 minutes:

45 pages ÷ 60 minutes = 0.75 pages per minute

This means that on average, Morgan can read 0.75 pages in 1 minute.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Answer:

y equals 5x + 20

Answer:

There are a variety of possible answers, including the following:

4 and 4     (4 + 4 = 8........4 - 4 = 0.......... 6 > 0)

6 and 2     (6 + 2 = 8........6 - 2 = 4.......... 6 > 4)

5 and 3     (5 + 3 = 8.........5 - 3 = 2.......... 6 > 2)

And for the subtraction, each can be reversed (2 - 6 ...... 3 -5 ...... etc.)

Answer:

2 and 3 is the answer we know it right

Answer:

6/1

Step-by-step explanation:

Answer:

Jane is 4years old......

Answer:

Choice D. [tex]y = 0.75\, x + 5[/tex].

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:

Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:

Calculate the slope of this line:

[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].

The equation of the line becomes:

[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].

Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:

The equation becomes:

[tex]-4 = 0.75 \times (-12) + b[/tex].

Solve for the value of [tex]b[/tex]:

[tex]b = 5[/tex].

Hence, the slope-intercept form of this line shall be:

[tex]y = 0.75\, x + 5[/tex].

Answer:

Hello some parts of your question is missing below is the missing part

c. If you randomly select a navel orange, what is the probability that it weighs between6.2 and 7 ounces

Answer: A) 0.0099

              B) 0.6796

              C) 0.13956

Step-by-step explanation:

weight of Navel oranges evenly distributed

mean ( u ) = 8 ounces

std ( б )= 1.5

navel oranges = X

A ) percentage of oranges weighing more than 11.5 ounces

P( x > 11.5 ) = [tex]P ( \frac{x - u}{ std} > \frac{11.5-8}{1.5} )[/tex]

                   = P ( Z > 2.33 ) = 0.0099

                   = 0.9%

B) percentage of oranges weighing less than 8.7 ounces

  P( x < 8.7 ) = [tex]P ( \frac{x - u}{ std} > \frac{8.7-8}{1.5} )[/tex]

                    = P ( Z < 0.4667 ) = 0.6796

                    = 67.96%

C ) probability of orange selected weighing between 6.2 and 7 ounces?

P ( 6.2 < X < 7 ) = [tex]P (\frac{6.2-8}{1.5} < \frac{x - u}{ std} < \frac{7-8}{1.5} )[/tex]

                          = P ( -1.2 < Z < -0.66 )

                          = Ф ( -0.66 ) - Ф(-1.2) = 0.13956

Answer:

23-22=1

5 times 4=20

Step-by-step explanation:

Answer:

0.6462

Step-by-step explanation:

Given that

Mean (m) = 9.8

Standard deviation (s) = 1.6

Probability that mean length is greater than 9.2

Z = (x - m) / s

Z = (9.2 - 9.8) / 1.6

Z = - 0.6 / 1.6

Zscore = - 0.375 = - 0.375

P(Z >- 0.375) = 1 - P(Z < - 0.375) ;

P(Z < - 0.375) = 0.3538

1 - P(Z < - 0.38) = 1 - 0.3538 = 0.6462

Answer:

1 1/5 mile

Step-by-step explanation:

3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5

Answer:

Step-by-step explanation:

From the given information:

We are  told that there exist two machines

Machine 1 and Machine 2

Given that machine 1 pays 10% when it is generous, then the probability  can be computed as:

P(pays | machine 1 is generous) = 0.10

Also, machine 2 pays 20% when it is generous, then the probability that the machine pays 20% when it is generous is :

P(pays | machine 2 is generous) = 0.20

However, the two machines have an equal chance of being generous.

Therefore, the probability that machine 1 is generous is equal to the probability that machine 2 is also generous.

i.e.

P( machine 1 is generous) = P( machine 2 is generous) = 0.50

The first objective is to find the probability that the machine 1 is generous, given that the player loses the first bet.

i.e. P (machine 1 is generous | but lost)

Thus, we know that the probability that the machine is generous is = 0.5, therefore, the probability that the machine is generous is 50% when he loses the first bet.

Therefore, to find the probability that the machine 1 is generous | but lost, we have:

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{P(machine \ 1 \ is \ generous \ \cap lost )}{P(lost)} }[/tex]

Let:

P(lost | machine 1 is generous) = A

P(machine 1 is generous) = B

P (Pays | machine 1 is generous ) = C

P(Pays | machine 2 is generous )  = D

P(machine 2 is generous) = E

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - C) \times B}{ (1 - C) \times B + (1 - D) \times E} }[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - 0.10) \times 0.50}{ (1 - 0.10) \times 0.50 + (1 - 0.20) \times 0.50} }[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{0.45}{0.85}}[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) =0.5294}[/tex]

Thus, the probability that machine 1 loses the first bet but it is generous = 0.5294

Thus, since the answer is close to 0.50, we say that the answer is consistent with what is expected.

Answer:

y = 6

x = 0.2

Step-by-step explanation:

5x + y =7

20x + 2 = y

5x(4) + y(4) = 7(4)

20x + 4y = 28

(20x = 28 - 4y) = (20x = y - 2)

28 - 4y = y - 2

30 - 4y = y

30 = 5y

y = 6

5x + y =7

20x + 2 = y

y = 7 - 5x

7 - 5x = 20x + 2

5 - 5x = 20x

5 = 25x

x = 0.2

Answer:

wheres the stament

Step-by-step explanation:

Answer:

huh

Step-by-step explanation: