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.​

Answer

B) 6²

E) 36

Step-by-step explanation:

[tex]6^{7}[/tex] / [tex]6^5[/tex] = 6^(7-5) = 6²

6² = 36

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!

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

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

From the information given:

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

∴

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

where;

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:

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Answer:

it’s c

Step-by-step explanation:

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

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.

Answer:

the third answer is correct

Step-by-step explanation:

the starting point is 2 and it goes up by 3

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

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 )

__________

[tex] \: [/tex]

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

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

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

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

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

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

.

[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]

Answer:

I dont know

Step-by-step explanation:

Answer C

Step-by-step explanation:

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)

Answer:

it would equal 12x + 12

:)))

Answer:

200 apple yet to go byhfhhf

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

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)

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.

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.

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Answer: C

sajnjfsabfyavfbysa

There is 28.

7 ÷ 1/4 = 28

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

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

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

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

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

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?

9514 1404 393

Answer:

  6.  A

  7.  80°

  8.  20°

Step-by-step explanation:

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.

__

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°.

__

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°

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:

Step-by-step explanation: