1.) 2x + y = 3 2.) x - 2y = -1 If equation 1 is multiplied by 2 and then the equations are added, the result is

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

$4y-332=y-29$

Adding both sides 332 we get:

$4y=y+303$

Subtracting both sides by $y$ we get:

$3y=303$

Dividing both sides by 3 we get:

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

7 0

3 years ago

Help me find my answer

Sergeu [11.5K]

Step-by-step explanation:

3 cookies= 240 cal

∴ 1 cookie= 240÷3 cal

∴ 5 cookies= (240÷3) × 5

⇒ 240÷3= 80

⇒ 80 × 5= 400

[ans] 400 cal

4 0

3 years ago

A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder?

Setler79 [48]

First, you've got to figure out the value of the radius so divide the diameter by two. Then, you'll want to find the area of the base or pi times radius squared.
(3.14x3^2)x9=V
After doing the math your answer comes out to 254.34 cubic feet or feet^3

7 0

3 years ago

Long Division of Polynomials | Divide (28n² + 13n + 4) = (7n + 5)

Nady [450]

Answer:

(28n²+13n+4) ÷ (7n+5) = 4n-1 remainder 9

Step-by-step explanation: