There are multiple chickens and rabbits in a cage. There are 72 heads and 200 feet inside the cage. How many chickens and how many rabbits?

Answers

Answer 1
Answer: Given:
heads = 72
feet = 200
Chicken = c
Rabbit = r

c + r = 72
2c + 4r = 200

c = 72 - r

2c + 4r = 200
2(72-r) + 4r = 200
144 - 2r + 4r = 200
2r = 200 - 144
2r = 56
r = 56/2
r = 28


c = 72 - r
c = 72 - 28
c = 44

There are 44 chicken and 28 rabbits.

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While the earth's orbit (path) about the sun is slightly elliptical, itcan be approximated by a circle with a radius of 93,000,000 miles.
a) How far does the earth travel in one orbit about the
sun? That is, what is the approximate circumference of the earth's path?
b) Approximately how fast is the earth traveling in its orbit in space? Calculate
your answer in miles per hour.​

Answers

a. The circumference should be 186000000π mile

b. The speed of the earth should be 7750000π miles per hour.

Calculation of the circumference & speed of the earth:

Since the radius is 93000000 miles

a.

So, here the circumference is

= 2πr

= 2π(93000000) miles

= 186000000π miles

b) Now the speed is

speed = distance ÷ time

Here the time should be 24 hours

So,

Speed = 186000000π  ÷ 24

= 7750000π miles per hour

Learn more about speed here: brainly.com/question/24394014

The circumference= 186000000π miles and the speed or the earth is 7750000π miles per hour.

Step-by-step explanation:

Radius (r) = 93000000 miles

a) circumference= 2πr

= 2π(93000000) miles

= 186000000π miles

b) speed = distance / time

Here distance is the circumference and time is 24hrs because if the earth completes 1 revolution around the sun in 24hrs.

Speed = 186000000π/24

= 7750000π miles per hour

The names of 9 boys and 2 girls in a hat. What is the probability of first drawing a girls name then a boys name from the hat?

Answers

A - drawing a girls name at first
P(A) = 2/(2+9) = 2/11
B - drawing a boys name in second drawing if first drawing was a girls name
P(B) = 9/10
C - drawing a girls name firstly and a boys name secondly
P(C) = P(A) * P(B) = 2/11 * 9/10 = 9/55
ans: 9/55

What is the formula for the Pythagorean theory?

Answers

a^2 + b^2= c^2
(a,b,c are right triangle sides)

Match the terms with their definition.1. was introduced in the United States in 1888
2. used to elect the President, Vice-President, and members of Congress
3. chosen by the election board
4. national, state, and local elections come on the same day
5. the submitting of a proposed public measure for voting by the general public


A. Election officers
B. Referendum
C. The Australian Ballot
D. Short ballot
E. A Criticism of elections

Answers

- C. The Australian Ballot 1. was introduced in the United States in 1888 - D. Short ballot 2. used to elect the President, Vice-President, and members of Congress - A. Election officers 3. chosen by the election board - E. A Criticism of elections 4. national, state, and local elections come on the same day - B. Referendum 5. the submitting of a proposed public measure for voting by the general public

Answer:

-  The Australian Ballot - was introduced in the United States in 1888

- Short ballot - used to elect the President, Vice-President, and members of Congress

- Election officers - chosen by the election board

- Criticism of elections - national, state, and local elections come on the same day

- Referendum - the submitting of a proposed public measure for voting by the general public

There are two bottles of tomato ketchup, one weighs 720 g and costs £1.79, while the other weighs 460 g and costs £1.00. Which bottle gives better value for money? (Hint: you have to use ratios)

Answers

To\ find\ better\ value\ for\ money\ you\ can\ find\ price\ of\ 100g:\n\n720:100=72\n460:100=46\n\n1.79:72=0.025\n1.00:46=0.022\n\n460g\ ketchup\ is\ more\ profitable.
The better value would be the one that weighs 720 g and costs $ 1.79.

If m = 8, how many solutions are there for the expression m - 8? what is it going to be? 0 ? 1 ? 2 ? or infinite ?

Answers

Answer:

The answer is m=8

Step-by-step explanation:

In order to determine the answer, we have to know that it means "solution".

In any expression where there is a variable, we can replace any value in the variable and we get a result. When we replace a value that it makes the expression equal to zero, that value is called "solution".

So in this case, we have to find a solution for "m":

m-8=0\nm=8

Finally, the solution is only one and it is 8.

Solutions for the expression:
(m - 8)

if m = 8, 
Solution for the expression m - 8 = 8 - 8 = 0.

So there is only 1 solution for the expression.