A rabbit weighs 2.8 kg.
After being shot its weight
is increased by 1%.
How much does it
weigh now?

Answer:

Set any x and then compute y as 2x + 4. The pair solves the equations.

Step-by-step explanation:

4x - 2y = -8

4x = 2y - 8

2x = y - 4

y = 2x + 4

2x + 4 = y

2x = y - 4

Both equations are the same, so any pair of x and y for which 2x = y - 4 works.

Set any y and then compute x as (y - 4)/2

Alternatively

2x = y - 4

2x + 4 = y

Set any x and then compute y as 2x + 4.

Answer:

its undefined because its only going up and never over 1/0

y= 3/2 x+ 3 and 3x-2y=-6

Step-by-step explanation:

□y = -3/2x-9

□y=3x+3

□3x+2y=-9 = y=-9/2 -3/2x

□y=3/2x+3 correct

□3x-2y=-6 = y=3+ 3/2x correct

□2/3x +3

Answer:

5 inches per hour

Step-by-step explanation:

Answer: 5 inches per hour

Step-by-step explanation:

Starting height of 16 minus the end height of 3.5.

16- 3.5= 12.5

Take this number and divide it by the time the candle burned (2.5 hours)

12.5 inches/ 2.5 hours = 5 inches per hour

Answer:

Four

Step-by-step explanation:

All the animals are on the bed, but the bed itself has four legs.

Answer: 6

Step-by-step explanation: the legs from the bed, and your 2 legs

Answer:

x = 250

y = 125

u(x,y) = 3125500

Step-by-step explanation:

As given,

The utility function u(x, y) = 100xy + x + 2y

[tex]P_{x}[/tex] = 2 , [tex]P_{y}[/tex] = 4

Now,

Budget constraint -

[tex]P_{x}[/tex] x + [tex]P_{y}[/tex] y = 1000

⇒2x + 4y = 1000

So,

Let v(x, y) = 2x + 4y - 1000

Now,

By Lagrange Multiplier

Δu = Δv

⇒< 100y + 1, 100x + 2 > = < 2, 4 >

By comparing, e get

100y + 1 = 2         ........(1)

100x + 2 = 4        .........(2)

Divide equation (2) to equation (1) , we get

[tex]\frac{100y + 1}{100x + 2} = \frac{1}{2}[/tex]

⇒2(100y+1) = 1(100x+2)

⇒200y + 2 = 100x + 2

⇒200y = 100x

⇒2y = x

Now,

As 2x + 4y = 1000

⇒2x + 2(2y) = 1000

⇒2x + 2x = 1000

⇒4x = 1000

⇒x = 250

Now,

As 2y = x

⇒2y = 250

⇒y = [tex]\frac{250}{2}[/tex] = 125

∴ we get

x = 250

y = 125

Now,

u(250, 125) = 100(250)(125) + 250 + 2(125)

                   = 3125000 + 250 + 250

                  = 3125000 + 500

                 = 3125500

⇒u(250, 125) = 3125500

The maximized value of the utility function is $3125500

The utility function is given as:

[tex]U(x,y) = 100xy + x + 2y[/tex]

The prices per unit are also given as:

[tex]P_x = 2[/tex]

[tex]P_y = 4[/tex]

When a person receives $1000, then the budget function is:

[tex]2x + 4y = 1000[/tex]

Divide through by 2

[tex]x + 2y = 500[/tex]

Differentiate the utility function with respect to x and y

[tex]U'(x) = 100y + 1[/tex]

[tex]U'(y) = 100x + 2[/tex]

So, we have:

[tex]U'(x) = P_x[/tex] and [tex]U'(y) = P_y[/tex]

The above equations become

[tex]100y + 1 = 2[/tex] and [tex]100x + 2 = 4[/tex]

Divide both equations

[tex]\frac{100y + 1}{100x + 2} = \frac 24[/tex]

Reduce the fractions

[tex]\frac{100y + 1}{100x + 2} = \frac 12[/tex]

Cross multiply

[tex]100x + 2 = 200y + 2[/tex]

Subtract 2 from both sides

[tex]100x = 200y[/tex]

Divide both sides by 100

[tex]x = 2y[/tex]

Recall that:

[tex]x + 2y = 500[/tex]

So, we have:

[tex]2y + 2y = 500[/tex]

[tex]4y=500[/tex]

Divide through by 4

[tex]y=125[/tex]

Recall that:

[tex]x = 2y[/tex]

So, we have:

[tex]x = 2 \times 125[/tex]

[tex]x = 250[/tex]

Also, we have:

[tex]U(x,y) = 100xy + x + 2y[/tex]

Substitute the values of x and y, in the above function

[tex]U(250,125) = 100 \times 250 \times 125 + 250 + 2 \times 125[/tex]

[tex]U(250,125) = 3125500[/tex]

Hence, the maximized value of the utility function is 3125500

Read more about utility functions at:

https://brainly.com/question/24922430

Answer: 37.5

Step-by-step explanation:

75 divided by 2

Step-by-step explanation:

Distance covered is 168 km .

Time taken is 4 hours .

Speed = distance covered / time taken

=168/4

=42 kmph

In 80 minutes or 4/3 hours it would cover

42*4/3

=14*4

=56 km

Answer:

31............

Step-by-step explanation:

22+9=31

Answer:

it is -13

Step-by-step explanation:

9-9-x=22-9 x=-13. 9-(-13)=22 brainliest please

Answer:

im so sorry im not really sure but ill give it my best

Step-by-step explanation:

i think its 2,last,and yeah im so sorry if you get it wrong im not really sure on it

Answer:

28.3

Step-by-step explanation:

formula for area of of a circle is

A = πr²

3² = 9

3.14 * 9 = 28.26

rounded to tenth power = 28.3

Hope this helps dude

Answer:

13. acute

14. right

15.  36

16. x = 14

Step-by-step explanation:

Answer:

240 seventh graders passed

Step-by-step explanation:

300 x 0.8 = 240

Answer:

Step-by-step explanation:

X +4=

8x=32

Answer:

go to photo math and it would work

Answer:

23/99

Step-by-step explanation:

anything repeating will have a 9 as the denominator

Answer:

576

Step-by-step explanation:

18 x 32 = 576

Answer:

52 Inches³

Step-by-step explanation:

The surface area formula for a rectangular prism is 2 x (height x width + width x length + height x length)

SA= 2(4x2+2x3+4x3)

Answer:

60.

Step-by-step explanation:

Answer:

[tex]60%[/tex][tex]%[/tex]%

Answer:

Slope of the line       [tex]m = \frac{4}{3}[/tex]

Step-by-step explanation:

Explanation:-

Given points are ( 3,7) and (6,11)

Slope of the line

        [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

       [tex]m = \frac{11-7}{6-3}[/tex]      

        [tex]m = \frac{4}{3}[/tex]

Slope of the line       [tex]m = \frac{4}{3}[/tex]

Answer:

A

Step-by-step explanation:

Since it is upside down, it is the one with the negative sign in front of the x. The numbers will continue to increase in the negatives.

Answer:

ur ans is A

Step-by-step explanation:

GOODLUCK

the perimeter of the square is 4cm

Answer:

Step-by-step explanation:

5, 4, 8

Answer:

D. All rhombuses have 2 pairs of parallel sides

Step-by-step explanation:

hope this will help you.

Answer:

Hey! Ok so the height is C.10 ft.

Step-by-step explanation:

So to find the height I have to do

h=Vlw =540 12·4.5=10

So therefore its 10

Hope you have a great day! I'm Eve btw Hoped this helped and consider marking this brainiest!

Answer: B) 1/3

2 cats/6 total animals

simplified is 1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

plz make me brainliest

Answer:

A.

Step-by-step explanation:

A. makes the most sense out of all of them. But if it had to be another one, I'd say D. Sorry! I'm not the best at these either. :)

Answer:

-2= 1/5x-2 +9

-2= -0.4 +9

Step-by-step explanation: