REALLY URGENT


There are two types of fish in a lake. These are carp and pike.
In a netted area of the lake 120 carp and 16 pike were caught
In the whole lake it is estimated there are 34 000 fish
Zalika estimated that there are 4000 pike in the lake altogether.
How does Zalika work out this estimate.​

Answer:

x=35, y=18

Step-by-step explanation:

the triangles are similar so they are in proportion

x/14=45/y= 40/16

[tex]\frac{x}{14} =\frac{40}{16}[/tex]  find x

[tex]x= \frac{14*40}{16} = 35[/tex]

[tex]\frac{45}{y} =\frac{40}{16}[/tex]  find y

[tex]y= \frac{45*16}{40} =18[/tex]

(1)

[1]   x + 5y - 4z = -10

[2]   2x - y + 5z = -9

[3]   2x - 10y - 5z = 0

Eliminate x by adding -2[1] to [2], and adding -1[2] to [3]:

-2(x + 5y - 4z) + (2x - y + 5z) = -2(-10) + (-9)

-2x - 10y + 8z + 2x - y + 5z = 20 - 9

[4] -11y + 13z = 11

-(2x - y + 5z) + (2x - 10y - 5z) = -(-9) + 0

-2x + y - 5z + 2x - 10y - 5z = 9

[5]  -9y - 10z = 9

Eliminate y by adding -9[4] to 11[5]:

-9(-11y + 13z) + 11(-9y - 10z) = -9(11) + 11(9)

99y - 117z - 99y - 110z = -99 + 99

-227z = 0

z = 0

Plug this solution into either [4] or [5] and solve for y :

[5] -9y - 10(0) = 9

-9y = 9

y = -1

Plug them both into either of [1], [2], or [3] and solve for x :

[1] x + 5(-1) - 4(0) = -10

x - 5 = -10

x = -5

(2)

[1] 2x - y + z = -4

[2] z = 5

[3] -2x + 3y - z = -10

Substitute [2] into [1] and [3]:

2x - y + 5 = -4

[4] 2x - y = -9

-2x + 3y - 5 = -10

[5] -2x + 3y = -5

Solve [4] for y :

2x - y = -9

2x + 9 = y

Substitute this into [5] and solve for x :

-2x + 3(2x + 9) = -5

-2x + 6x + 27 = -5

4x = -32

x = -8

Plug this into either [4] or [5] to solve for y :

[4] 2(-8) - y = -9

-16 - y = -9

y = -5

Step-by-step explanation:

f(x)= 2x + 9

               Cost per car

Change 9 to 6.

f(x) = 2x + 6

Because 9 was the y-intercept and it was changed to 6, or 3 units down, the function would be be translated 3 units down

Hope this makes sense!!!!

-5

Slope: rise/run

rise/run: y/x

it goes down 5 and moves to the right once that means it's -5/1 or -5.

Answer:

The answer is -5/1 or -5

Step-by-step explanation:

Answer:

7000 :)

Step-by-step explanation:

The nearest thousand to 7412 is 7000.

Answer: 7000

Step-by-step explanation: When you round 7412 to the nearest thousand you should get 7000.

The value of the variable x will be 2. Then the radius of the circle will be 5.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius of the circle is x + 3. And the area of the circle is 25π. Then the equation will be

25π = π(x + 3)²

(x + 3)² = 25

x + 3 = 5

x = 5 - 3

x = 2

Then the radius will be

r = x + 3 = 2 + 3 = 5

The value of the variable x will be 2. Then the radius of the circle will be 5.

More about the area of a circle link is given below.

https://brainly.com/question/11952845

#SPJ2

Answer:

9c2/a4

Step-by-step explanation:

To Clarify 9c is squared and a is held to the fourth power

Answer:

600 calories

Step-by-step explanation:

120 (# of minutes in 2 hours) divided by 40 is 3, so multiply 200 by 3 and you get 600

Answer:

600 calories burnt

Step-by-step explanation:

What I started with is 200/40=5 calories burned per min

60 plus 60=120

5x120=600

Hope this helps

Answer:

y=-2x+4

Step-by-step explanation:

Answer:

-219

Step-by-step explanation:

I counted it lol :o

Answer:

b=a √3

Step-by-step explanation:

Answer:

Function B has a greater slope than Function A

Answer:

Function B has a greater slope than Function A.

Step-by-step explanation:

If you graph function B, you see that it is much steeper than function A.

Answer:

21.

a) don't color the straps green

b) color the straps black

19.

a) color the shapes black

b) don't color the shapes brown

Step-by-step explanation:

Answer:

44.5%

Step-by-step explanation:

THis is because 4/9x100=44.5, which means that 44.5% of the tiles are white

Answer:

#1: 0; #2: -35

Step-by-step explanation:

Y-intercept is where the line crosses the y-axis (the vertical one).

HTH :)

Answer:

X^2-x- 8/x+4

Step-by-step explanation:

X+4 becomes a negative 4

Then multiply -4 by the first number which is 1 so -4×1 is -4. Then subtract -4 by the second number 3. This gives you -1 so multiply that by 4 which is -4. Then subtract 4 from the third number -4. So that'll give you -8. Then add an x-value to every number except the very last number as that number will be you remainder.

Answer:

p=32

Step-by-step explanation:

4+12=16

16×2=32

p=32

After substituting W = 12, h = 4, in the equation P = 2(w + h), P = 32

"An element greater than or equal to all the elements in a given set."

"It is an expression which contains an equal symbol."

For given question,

Given equation: P = 2(w + h)

W = 12, h = 4

After substituting these values in given equation,

⇒ P = 2 × (12 + 4)

⇒ P = 2 × 16

⇒ P = 32

Learn more about upper bound here:

https://brainly.com/question/22965427

#SPJ2

Answer:12,16

Step-by-step explanation:

Answer:

16,28. 4,16. I'm not sure though

Answer:

If you owe your friend 10 dollars that would be -10 on a number line and then you borrow 5 dollars which means you owe that money too and you would continue to move left on the number line 5 spaces.

Step-by-step explanation:

Answer:

8.3

Step-by-step explanation:

just move the decimal in 83 over one digit since your already just dividing by 10

Answer:

2 2/5 hours

Step-by-step explanation:

If Marcus takes 4/5 an hour to paint 1/3 of the room, then you have to multiply 4/5 times 3 for every 1/3 of the room.

Sorry if this is hard to understand, this is my first time answering.

Answer:

5/12

Step-by-step explanation:

I think

Answer: m angle ABC = 44

m angle CAG = 54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

You can do 4 times 12 to get the first triangle as 48.

Then you can use the Pythagorean Theorem to get the side length of the bottom one between 4 and 5. c^2=a^2+b^2. 25=16+b^2. 9=b^2, b=3.

Answer:

A

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

Got it right on Edge hope this helped!

Answer:

A&B

Step-by-step explanation:

its right on edg

Answer:

The cost of the system is $163 and The cost of the games is $489

Step-by-step explanation:

∵ A video game system and several games are sold for $652

∵ The cost of the games is 3 times as much as the cost of the system

→ Assume that the cost of the system is $x

∵ The cost of the system = x

∴ The cost of the games = 3 × x = 3x

∵ The total cost of the system and the games = 652

→ Equate the sum of the cost of the system and the cost of the games

   by 652

∴ x + 3x = 652

→ Add the like terms in the left side

∴ 4x = 652

→ Divide both sides by 4 to find x

∵ [tex]\frac{4x}{4}=\frac{652}{4}[/tex]

∴ x = 163

∵ The cost of the system = x

∴ The cost of the system is $163

∵ The cost of the games = 3x

∴ The cost of the games = 3(163) = 489

∴ The cost of the games is $489

Answer:

no pic or better explanation

Step-by-step explanation:

if you give a pic or explanation we cant help sorry

Answer:

10%

Step-by-step explanation:

this is because the decrease in price is $41 and if you divide by the original amount its 10%