A carpenter can make at most 20 tables and at most 30 chairs per day. Each table requires 3 hours of labour and each chair requires 2 hours of labour. The maximum total hours disposal is 96 . (A) give 3 inequalities that express the condition about. (B) graph and shade the common region that satisfy these. (C) find the maximum number of chairs and table does the carpenter can make.​

Answers

Answer 1
c) find the maximum number of chairs and table does the carpenter can make

Related Questions

How many groups of 1/4 are in 7.

Answers

There is 28.

7 ÷ 1/4 = 28

7 divided by 1/4 is 28

Simplify the expression

Answers

Answer:

it would equal 12x + 12

:)))

There are about 3 × 1020 gallons of salt water on the earth, while there are about 6 × 1018 gallons of fresh water. About how many times the amount of fresh water is the amount of salt water? 200 times the amount 500 times the amount 2 times the amount 50 times the amount

Answers

Answer C

Step-by-step explanation:

1 out of 5 apple were rotten . If 284 were edible, how many apples were harvested?

Answers

Answer:

200 apple yet to go byhfhhf

4:5 are not rotten
284/4 = 71
5x71 (out of the ratio 4:5) = 355
Therefore 284:355,
355 apples were harvested, 284 edible, 71 rotten

The table below represents which equation?

Answers

Answer:

the third answer is correct

Step-by-step explanation:

the starting point is 2 and it goes up by 3

Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)

Answers

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

 +21  +21

6x=24

/6    /6

x=4

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

1)cot a/2 -tan a/2 = 2 cot a
2) cot b/2 + tan b/2= 2 cosec b
prove​

Answers

1)

LHS = cot(a/2) - tan(a/2)

= (1 - tan^2(a/2))/tan(a/2)

= (2-sec^2(a/2))/tan(a/2)

= 2cot(a/2) - cosec(a/2)sec(a/2)

= 2(1+cos(a))/sin(a) - 1/(cos(a/2)sin(a/2))

= 2 (1+cos(a))/sin(a) - 2/sin(a)) (product to sums)

= 2[(1+cos(a) -1)/sin(a)]

=2cot a

= RHS

2.

LHS = cot(b/2) + tan(b/2)

= [1 + tan^2(b/2)]/tan(b/2)

= sec^2(b/2)/tan(b/2)

= 1/sin(b/2)cos(b/2)

using product to sums

= 2/sin(b)

= 2cosec(b)

= RHS

i inserted a picture of the question could you please make it short.

Answers

Answer

B) 6²

E) 36

Step-by-step explanation:

[tex]6^{7}[/tex] / [tex]6^5[/tex] = 6^(7-5) =

6² = 36

The science club sponsor is ordering caps and shirts for the boys and girls in the science club. There are 45 science club members. If the caps come in packages of 3 and the shirts come in packages of 5, what is the least number of packages of caps and shirts that will need to be ordered? Explain.

Answers

Answer:

The least number of packages of caps and shirts that will need to be ordered would be 9 Boxes of shirts and 15 boxes of hats .

Step-by-step explanation:

9(boxes) x 5(shirts) = 45

45(members) divided by 3(hats) = 15(boxes)

The Shah family uses up 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer:

1 Gallon per 6 days

Step-by-step explanation:

1/2 *2 = 1

3*2 =6

Answer:

1/6 Gallons of Milk per Day

Step-by-step explanation:

1/2 / 3 = 1/6

PLEASE NOT BOTS OR LINKS
THIS IS THE THIRD TIME I HAVE HAD TO POST THIS QUESTION

Answers

Answer: C

sajnjfsabfyavfbysa

Which of the following is most likely the next step in the series?

Answers

Answer:

D.

Step-by-step explanation:

Quadrilateral: 4 sides

Pentagon: 5 sides

Hexagon: 6 sides

Now we expect 7 sides.

Answer: D.

Answer:

D

Step-by-step explanation:

The first shape has 4 vertices (quadrilateral), the second has 5 vertices (pentagon), the third shape has 6 vertices (hexagon) so the fourth would most likely have 7 vertices (heptagon).

Hope this help!

V is the midpoint of UW. If UV = x + 2 and VW = 2x, what is VW?

Answers

Answer:

8 units

Step-by-step explanation:

x + 2 = 2x

2 = 2x - x

x = 2

uW = 2(2+2) = 8

Answer:

VW = 4

Step-by-step explanation:

Since V is the midpoint of line UW, we can say that the measure of UV is equal to VW (see def. of midpoint). Thus, we can generate the equation using the statements provided, leading us to this equation: x+2 = 2x. We can then subtract x on both sides, leading us to 2 = x, or x = 2.

We were given that VW = 2x, thus the measure of VW is equal to 2(2) or 4.

(BONUS: since we know that VW ≅ UV, then the measure of UV is also equal to 4, which when applied to the formula for UV (x+2) we get the equation for UV, x+2=4. This is a way to prove that x=2, as 2+2=4. We can also use this knowledge to find the total length of this line segment, which would be 8, as 4+4=8)

A definition of a statistical question is given below.
Statistical question:
Any question whose answer could involve working with more than one data value.
In each situation below, determine whether the question is a statistical question.

Answers

Answer:

I dont know

Step-by-step explanation:

First 2 are statistical, because you are asking more than one person, which will result in more than one number(more than one data value)

The other questions are about one person asking one other person about something to get numerical data.
If you only ask 1 person, you will have 1 answer. 1 answer is one data value, but statistical questions must have more than one data value.

63% to fraction
[tex] \frac{63}{?100} [/tex]

Answers

Follow the steps mentioned below to write 0.63 as a fraction.

Step 1: Determine the number of digits after the decimal point in the decimal number. Here, there are 2 digits after the decimal point.

Step 2: Remove the decimal point and write the number by the power of 10 which is equal to the number of digits after the decimal point. So, here we will divide 63 by 102

Step 3: Express the fraction in simplified form.

So, 0.63 as a fraction is,

0.63 = 63/100

painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?

Answers

Answer:

this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2

b^2 = 512, so b = sqrt(512) = 22.6

PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!

Answers

Answer:

(- 4, - 10 )

Step-by-step explanation:

y = 5x + 10 → (1)

y = 4x + 6 → (2)

Substitute y = 5x + 10 into (2)

5x + 10 = 4x + 6 ( subtract 4x from both sides )

x + 10 = 6 ( subtract 10 from both sides )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 5(- 5) + 10 = - 20 + 10 = - 10

solution is (- 4, - 10 )

>> Answer

__________

[tex] \: [/tex]

[tex] \sf{y = 5x + 10...(1)}[/tex]

[tex] \sf{y = 4x + 6...(2)}[/tex]

Subtitute (1) to (2)

[tex] \sf{y = 4x + 6}[/tex]

[tex] \sf{5x + 10 = 4x + 6}[/tex]

[tex] \sf5x - 4x = 6 - 10[/tex]

[tex] \sf{x = - 4}[/tex]

.

Subtitute x = -4 to (1)

[tex] \sf{y = 5x + 10}[/tex]

[tex] \sf{y = 5( - 4) + 10}[/tex]

[tex] \sf{y = - 20 + 10}[/tex]

[tex] \sf{y = - 10}[/tex]

.

[tex] \longmapsto \sf{( - 4 , - 10)}[/tex]

if each of the following quadrilaterals are trapezoids find the missing measures. show your work.

Answers

The corresponding pairs of base angles, such as T and Q, or S and R,are supplementary (add up to 180 degrees)
So T + Q = 180
Q = 180 - 91 = 89

S + R = 180
S = 180 - 27 = 153

22 is 32% of what number?

Answers

To solve this problem you multiply 22 by 100 and then divide the total by 32 as follows: (22 x 100) / 32

When we put that into our calculator, we get the following answer:

68.75

Answer:

68.75

Step-by-step explanation:

x is the number we are looking for, so 32% of x is 22.

First, we have to find the number that is equivalent to 1% of x.

To do this we simply do 22/32 which is 0.6875.

Now we know that 1% of x is 0.6875, so we can find 100% of 0.6875 (0.6875*100) to find x.

x is 68.75

Determine the inverse of the function f(x) = 3(x - 4)^2 + 5.

Answers

f(x) as given has no inverse. We see that, for instance, f(1) = f(7) = 32; that is, two different values of x give the same value of f(x), so f is not one-to-one.

We can however restrict the domain over which f is defined to extract an invertible function. One such choice would be to restrict to the interval x ≥ 4, which I'll demonstrate below.

Recall the definition of function inverse:

f(f^(-1)(x)) = x

Then for this function, we have

3 (f^(-1)(x) - 4)² + 5 = x

3 (f^(-1)(x) - 4)² = x - 5

(f^(-1)(x) - 4)² = (x - 5)/3

√((f^(-1)(x) - 4)²)= √((x - 5)/3)

For all x, √(x²) = |x|. Then √((f^(-1)(x) - 4)²) = |f^(-1)(x) - 4|, but by restricting x ≥ 4, or x - 4 ≥ 0, we have the condition that f^(-1)(x) - 4 ≥ 0, and so by definition (of the absolute value function) the absolute value reduces to the positive case. In short, we end up with

f^(-1)(x) - 4 = √((x - 5)/3)

and hence the inverse

f^(-1)(x) = √((x - 5)/3) + 4

The probability that homework is assigned in Ethan's computer science class is 7/10 From a randomly chosen class, find the probability that Ethan does NOT have computer science homework.

Answers

The probability that Ethan does NOT have computer science homework is 0.3

From the information given:

Let the probability that homework is assigned in Ethan's computer science be P(A) = 7/10

However, in probability, the sum of all event outcomes is always equal to 1.

[tex]\mathbf{P(A) + P(A^c) = 1}[/tex]

where;

[tex]\mathbf{ P(A^c) = }[/tex] the probability that Ethan does  NOT have computer science homework

Thus;

[tex]\mathbf{ P(A^c) = 1- P(A)}[/tex]

[tex]\mathbf{ P(A^c) = 1- \dfrac{7}{10}}[/tex]

[tex]\mathbf{ P(A^c) =\dfrac{10 -7}{10}}[/tex]

[tex]\mathbf{ P(A^c) =\dfrac{3}{10}}[/tex]

[tex]\mathbf{ P(A^c) =0.3}[/tex]

Therefore, we can conclude that the probability that Ethan does NOT have computer science homework is 0.3

Learn more about probability here:

https://brainly.com/question/11234923?referrer=searchResults

Hi, someone else asked this question and I know that the answer is 6, but don’t know why. Could someone explain this for me, please? If you can make me understand I’ll give you brainliest…

Answers

Answer:

6

Step-by-step explanation:

I'm not exactly sure, but since 6 is the only number missing from this pattern, wouldn't it make sense for the answer to be 6?

plz help with this will mark as brinliest

Answers

Answer:

it’s c

Step-by-step explanation:

I need it asap!!! Help a struggling geometry student out!!

Answers

9514 1404 393

Answer:

  6.  A

  7.  80°

  8.  20°

Step-by-step explanation:

6.

It is helpful to read the question and identify the particular parts of the diagram it is asking about.

The corresponding hash marks mean the marked segments are congruent. These show you that ΔMQT is isosceles, so angles QMT and QTM are congruent. The sets of hash marks on NT and SM mean those segments are congruent. Of course MT is congruent to itself.

These facts let you conclude that triangles NTM and SMT are congruent by the SAS theorem. (The base angles of ΔMQT are between the pairs of congruent sides.)

The only answer choice referencing SAS is the first one, choice A.

__

7.

Based on the previous question, it is a simple matter to show ΔMPT ≅ ΔTRM by SAS. Then angles MPT and TRM are congruent. Angle MPT is supplementary to angle MPN, so is 180° -100° = 80°.

Angle TRM is congruent to angle MPT, so is 80°.

__

8.

With reference to ΔMQN, angle MQT is an external angle. Its measure is equal to the sum of the opposite internal angles QNM and QMN:

  ∠MQT = ∠NMQ + ∠QNM

  95° = 75° + ∠QNM

  20° = ∠QNM

From problem 6, we know that angle N is congruent to angle S, so, ...

  ∠TSR = ∠QNM = 20°

Josh runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?

Answers

Answer:

66 minutes

Step-by-step explanation:

Method I -  proportion

x/44 = 9/6

multiply both sides by 44

x = 9 / 6 * 44

x = 66 minutes

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

Method II - rate

44/6 = 7.3333333 minutes / mile

9 * 7.3333333 = 66 minutes

Which expression is equivalent to [(4^5/4•4^1/4)/4^1/2]^1/2

Answers

Answer:

2

Step-by-step explanation:

[(4^5/4•4^1/4)/4^1/2]^1/2

= [(4^(5/4) • 4^(1/4))/4^(1/2)]^1/2

= [(4^(3/2))/4^(1/2)]^1/2

= 4^(1/2)

= sqrt(4)

= 2

Answer:

2

Step-by-step explanation:

[tex][(4^{5/4}*4^{1/4})/4^{1/2}]^{1/2}=[/tex][tex](4^{5/4+1/4-2/4})}^{1/2}=[/tex][tex](4^1)^{1/2}=[/tex][tex]2[/tex]

(3)a train travel 252 km in 42 hours. what amount of time will it take to complete a journey of 350km. (4) calculate the cost of 15 article at $1.95 each cost. (5) if 25 article cost 43.75 how much does each cost. (6) A car travel 240km on 20 liter of petrol. how many liters of petrol is needed to travel 600km​

Answers

Answer:

(3)

Distance the train can travel=252km

Distance the train can travel in 1 hour=252÷42=6km

The time needed to cover 350km= 350÷6=58.4 hours.

(4)

The cost of 1 articles=$1.95

The cost of 15 articles= 15(1.95)=$29.25

(5)

Cost of 25 articles= 43.75

Cost of 1 article= 43.75/25=1.75

(6)

Liters of petrol needed when a car travels 240km=20litre

liters of petrol needed when a car travels 600km= 20/240 x600

20/24x60

20/4x10

5x10=50liter

A line has a slope of 3/7 . Through which two points could this line pass?

Answers

Answer:

(0,0) and (7,3) and (14,6) and (-7,-3)

Just graph it.

Answer:

the correct answer is (-8,-2) and (6,4)

Step-by-step explanation:

hope this helps

Suppose carpet for a 12 ft by 10 ft room costs $400. Find the cost to carpet a room 36 ft by 30 ft

Answers

Answer:

About $3600

Step-by-step explanation:

10 x 12 =120 square feet - area of the first room

$400 / 120 =$3.33 - cost of carpet per square foot.

36 x 30 = 1080 square feet - the area of the second room

1080 x $3.33 = (about) $3600 cost of carpeting the second room.

Which inequality is true when the value of d is 14?
−d−9>−1.5
−d−9<1.5
−d−9>1.5
d−9<−1.5

Answers

Answer:

-d - 9 < 1.5

Step-by-step explanation:

In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]

-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.

[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]

Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]

Nope! -23 is not greater than 1.5. Let's try the last one.

[tex]14-9<-1.5?\\5<-1.5?[/tex]

And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.

−d−9<1.5 inequality is true when the value of d is 14.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

We have to check the inequality which is true for d when it is 14.

−d−9>−1.5

-14-9>-1.5

-23>-1.5

The first option is false.

−d−9<1.5

-23<-1.5

So the inequality −d−9<1.5 is true for d=14.

−d−9>1.5

-23>1.5

The inequality is false.

d−9<−1.5

14-9<-1.5

5<-1.5

The inequality is false.

Hence, −d−9<1.5 inequality is true when the value of d is 14.

To learn more on Inequality click:

https://brainly.com/question/28823603

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