What is the measure of the missing ​leg​ of a right triangle if the ​hypotenuse measures 10 ft​ and the other ​leg measures 8 ft​?

Using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

Linear programing problem is" a system of process of finding maximum or minimum value of any variables".

Inequalities is statement of an order relationship, "greater than or greater than or equal to, less than or less than or equal to between two numbers or algebraic expressions" .

According to the question,

Let 'x' represents the number of hours clearing tables and 'y' represents the number of hours clearing tables.

maximum of z =11x+8y

x + y ≤ 17             →     (1)

11x +8y ≥ 160      →       (2)

Using graphical method, we can solve this Linear programing problem(LPP).

In inequality(1) put x=0, we get y=17 and y=0, we get x=17 therefore in equation (1) we get (17,17) draw this point on graph.

In inequality(2) put x=0 we get y=20 and put y=0 we get x=14.54 from equation(2) we get (14.54,20) draw this point on graph.

To find maximum value of z solve this equation

x + y =17            →(3)

11x +8y =160      →(4),

multiply (3) by 8 we get, 8x+8y=136 and subtract the equation (3) from the equation (4)

11x+8y=160

8x+8y=136                               [multiply by(-) on both sides]

we get x=3 substitute this 'x' value in equation (3)

3+y=17

y = 14.

The maximum z = 11x+8y

                         z = 11(3)+8(14)               [substitute (3,14)]

       maximum z =145.

Hence, using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .

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Answer:

x = 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

its complicated to explain sorry, but trust me

Answer:

600

Step-by-step explanation:

Answer:

Exact form: 32977/100

Decimal form: 829.77

Mixed number form: 829 77/100

Step-by-step explanation:

Answer:

Look at the graph below, hope this was helpful :)

Step-by-step explanation:

Step-by-step explanation:

I think it might be enough to help you.

Answer:

32

Step-by-step explanation:

24+40=64

64/2=32

hope this helps

have a great day! :)

Answer: X = 12

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

27x+30x−17x=400+80

27x+30x+−17x=400+80

(27x+30x+−17x)=(400+80)(Combine Like Terms)

40x=480

40x=480

Step 2: Divide both sides by 40.

40x

40

=

480

40

x=12

Answer:

x=12

Answer:

Answer:

The initial population is 200

The population after 10 years is 687

Step-by-step explanation:

Given

[tex]P(t) =\frac{800}{1+ 3e^{-0.29t.}}[/tex]

Solving (a): The initial population

Here:

[tex]t = 0[/tex]

Substitute 0 for t in P(t)

[tex]P(0) =\frac{800}{1+ 3e^{-0.29*0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3e^{0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3*1}[/tex]

[tex]P(0) =\frac{800}{1+ 3}[/tex]

[tex]P(0) =\frac{800}{4}[/tex]

[tex]P(0) =200[/tex]

The initial population is 200

Solving (b): Population after 10 years.

Here

[tex]t = 10[/tex]

Substitute 10 for t in P(t)

[tex]P(10) =\frac{800}{1+ 3e^{-0.29*10}}[/tex]

[tex]P(10) =\frac{800}{1+ 3e^{-2.9}}[/tex]

[tex]P(10) =\frac{800}{1+ 3*0.055}[/tex]

[tex]P(10) =\frac{800}{1+ 0.165}[/tex]

[tex]P(10) =\frac{800}{1.165}[/tex]

[tex]P(10) =687[/tex] -- approximated.

The population after 10 years is 687

Answer:

Step-by-step explanation:

Given functions are,

s(x) = 2x - 2

t(x) = 3x

(s - t)(x) = (2x - 2) - 3x

            = -x - 2

            = -(x + 2)

(s + t)(x) = (2x - 2) + 3x

             = 5x - 2

(s . t)(x) = (2x - 2)(3x)

            = 6x² - 6x

(s . t)(-1) = 6(-1)² - 6(-1)

            = 6 + 6

            = 12

Answer:

$75

Step-by-step explanation:

(45 / 3) x 5 = 75

To find the amount of money for each t-shirt, divide 45 by 3.

45 / 3 = 15

To find out the price of 5 t-shirts, multiple 15 by 5.

15 x 5 = $75

$75 is your answer :)

Answer:

r = [1 + (i/n)]n - 1. Where: r =

Step-by-step explanation:

-1.7×-6 is the answer. Hope this helps.

Answer:

-1.7x + -3

Step-by-step explanation:

−4.2x+3 +2.5x−6

−4.2x+3

2.5x−6

Hope This Helped  <3

Answer:

31°

Step-by-step explanation:

<Y + <X = 180° [being co-interior angles ]

s + 91° + 2s - 4° = 180°

3s + 87° = 180°

3s = 180° - 87°

3s = 93°

s = 93° /3

s = 31°

Hope it will help you :)❤

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

Answer:

y=-5x-1

Step-by-step explanation:

If parallel lines, then the slope is the same.

y=-5x+b

To solve for b, plug in (-1,4)

(4)=-5(-1)+b

4=5+b

-1=b **Subtract 5 from both sides**

y=-5x-1

Answer:

weight=660 pounds

volume=75 cubic feet

Step-by-step explanation:

44 × 15 = 660

5 × 15 = 75

The weight of 15 bags of garden soil is approximately 297.9 kilograms.The volume of 15 bags of garden soil is approximately 2.78 cubic yards.

To find the weight of 15 bags of garden soil in kilograms, we can use the conversion factor that 1 pound is equal to 0.45359237 kilograms.

Weight of 15 bags in kilograms = 44 pounds/bag * 15 bags * 0.45359237 kg/pound

Weight of 15 bags in kilograms ≈ 297.9 kilograms

Therefore, the weight of 15 bags of garden soil is approximately 297.9 kilograms.

To find the volume of 15 bags of garden soil in cubic yards, we need to first convert the volume of each bag from cubic feet to cubic yards. There are 3 feet in a yard, so 1 cubic yard is equal to 3 feet by 3 feet by 3 feet, which is 27 cubic feet.

Volume of 15 bags in cubic yards = (5 cubic feet/bag * 15 bags) / 27 cubic feet/yard

Volume of 15 bags in cubic yards ≈ 2.78 cubic yards

Therefore, the volume of 15 bags of garden soil is approximately 2.78 cubic yards.

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Answer:

multiple 10.5x10.5 and then 7x7 and then add both answer s

Step-by-step explanation:

Answer is explained above

Answer:

k = 10

Step-by-step explanation:

X progresses by 25, while y progresses by 250.

So divide 250 ÷ 15 and your answer is 10.

Answer:

He invested in stocks Say,  = x $

 He invested in bonds = (x/2)+6000

 So,

 x+ x/2 +6000=30000

 2x+x+12000=60000

 3x= 48000

x=16000

 Investment in stocks= 16000  $

Step-by-step explanation:

!!

Answer:

      $ 3 0 , 0 0 0  in Stocks

       $ 2 7 , 0 00  in Bonds

Step-by-step explanation:

        $ 3 0 , 0 0 0

      - $ 3 , 0 0 0

  _  _ _ _ _ _ _ _ _ _

         $ 2 7 , 0 0 0

Answer: p = 100t

Step-by-step explanation:

Assume that it had been 6 years.

100(6) = p

p = 600

There are 600 people in the town.

Step-by-step explanation:

defensive behaviour Includes avoiding action,

avoiding blame, and avoiding

change

Answer:

72 (d)

Step-by-step explanation:

I did the math

Answer:

15

Step-by-step explanation:

if one side is 9, another is C, based on the angle tilt would have to be 15.

Hope its helps.

Answer:

90

Step-by-step explanation:

18/9=2

2 x 45=90

Step-by-step explanation:

political behaviour consists of activities that are

not required as part of one's formal

role in the organization