There are 17 animals in the barn. Some are chickens and some are cows. There are 56 legs in all. How many of each animal are there?

Answers

Answer 1

Answer:

6 chickens, 11 cows.

Step-by-step explanation:

x - chickens

y - cows

x + y = 17

2x + 4y = 56   <-- chickens have 2 legs, cows have 4.

y = -x + 17

Substitute (-x+17) for y in the second equation.

2x  + 4(-x + 17) = 56

2x -4x + 68 = 56

2x = 12

x = 6 chickens

Now substitute 6 for x

6 + y = 17

y = 11 cows


Related Questions

Which expression is equivalent to Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'.

Answers

Answer:

5x - 6

Step-by-step explanation:

Solve the equation.
20 = p + 11

Answers

Answer:

p:9

p +11=9

p=20-11=9

this is your answer

Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 3 feet, 4 feet, 5 feet,
and 6 feet.

A. Knowing that 32 +42 = 52, draw the 3-foot side and the 4-foot side
with a right angle between them. The 5-foot side will fit to form a
right triangle.

B. Knowing that 32 +52 + 62, draw the 3-foot side and the 5-foot side
with a right angle between them. The 6-foot side will fit to form a
right triangle.
C. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.

D. Knowing that 42 + 52 < 62, draw the 4-foot side and the 5-foot side
with a right angle between them. The 6-foot side will fit to form a
right triangle

Answers

Answer:

a

Step-by-step explanation:

5
Graph y = -2- 9.
y
9 -
8-
7
6-
4+
3-
2+
1+
-9-8-7 -6 -5 -4 3-2
2 3 4 5 6 7 8 9
-2 +
-3
-4+
-5
-6
-7+
-91

Answers

Answer:

6

Step-by-step explanation:

Find the value of X in this proportion.
- 27/4
- 18
- 9/8
- 9/2

Answers

Answer:

the answer is 9/2

Step-by-step explanation:

So you have (x+3)/6=5/4

Cross multiply and it will turn to this

4(x+3)=6×5 which is 30

= 4x+12=30

4x=30-12

4x=18

Divide both sides by 4 to make x subject of the formula

then your answer is 9/2

Solve:

18m = 6
A.
B.
C.
D. m = 3

Answers

Answer:

m_3

Step-by-step explanation:

divide both sides by 6

1. Jada made 14 cups of blueberry jam and divided the jam equally among 8
containers. How much jam went in each container? *

Answers

Answer: 1/75!

14/8 = 1.75

The line segment OA is congruent to which line segment?
A.) OB
B.)PB
C.)OP
D.)PM​

Answers

The answer is a because it would be the same line segment as OA

please help me please will give brainliest to ​

Answers

Answer:

B.

step by step explanation

I hope it's help

last month a class collected 240 cans for a canned-food drive. this month the class collected 320 can. what was the percent increase in the numbers of cans collected

Answers

25% I believe

Because 240 is 75% of 320
Hope this helps ^W^

(a) The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it needs a new oil filter is 0.45, and the probability that both the oil and filter need changing is 0.25. (i) If the oil had to be changed, what is the probability that a new oil filter is needed? (ii) If a new oil filter is needed, what is the probability that the oil has to be changed? (b) 3 Cards are drawn in succession without replacement from an ordinary deck. Find the probability of the event A1 ∩ A2 ∩ A3, where A1 is the event that the first card is RED ace, A2 is the event that the second card Queen or King, and A3 is the event that the third card which is greater than 3 and less than Eight?

Answers

Answer:

0.714 ; 0.556 ; (A1 n A2 n A3) = 0

Step-by-step explanation:

Given that :

P(oil) = 0.35

P(filter) = 0.45

P(oil n filter) = 0.25

1)

P(filter | Oil) = P(oil n filter) / P(oil)

P(filter | Oil) = 0.25 / 0.35 = 0.714

11)

P(Oil | filter) = P(oil n filter) / P(filter)

P(Oil | filter ) = 0.25 / 0.45 = 0.556

Number of red aces = 2

Queen or king = 4 + 4 = 8

Number on card greater than 3 and less than 8 = {4,5,6,7} = 4 card ; for 4 suits = 4 * 4 = 16

Total number of cards in deck = 52

Choosing without replacement :

Hence,

A1 = 2 / 52

A2 = 8 / 51

A3 = 16 / 50

(A1 n A2 n A3) ;this means card common to all three events.

However, (A1 n A2 n A3) = 0 because ;

1.) No red ace card is greater than 3 and less than 8.

11.) An ace card can neither be a king nor a queen

Please help. 30 points!

Answers

Answer:

first one is the right answer

Answer:

4x-3

Step-by-step explanation:

You have 4 x values and 3 negative values. So that makes your answer 4x-3.

A yacht travels 20 miles in 60 minutes. How far does the yacht travel per minute? *

Answers

0.333333333333
It goes on forever so just put 0.3

help me and ill mark you as brainliest​

Answers

Answer:

Y = 24x

Step-by-step explanation:

Using the y = mx+ b

Good luck

i need help with this question

Answers

Answer:

D.

Step-by-step explanation:

The y-intercept is 1, and if you multiple each x-value by 3 then add 1, you get your y-values.

Type the correct answer in the box. Use numerals instead of words.
Simplify the following expression.
30
simplified form:
Reset
Next

Answers

Answer:

anything that has a [power of zero] would be 1.

Step-by-step explanation:

so the answer is 1.

The simplification of given expression results as 3⁰ = 1.

What are the rules of exponents?

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given expression is 3⁰.

It can be solved by rules of exponents.

It can be simplified as below,

The base and power in the given expression are as 3 and 0.

Now, the power 0 to any base is obtained as 1.

Thus, 3⁰ = 1.

Hence, the given expression can be simplified as 1.

To know more about exponents click on,

https://brainly.com/question/5497425

#SPJ2

-3r +9 = -4r +5
what's r?​

Answers

Answer:

-4

Step-by-step explanation:

-3r+9=-4r+5

-3r+4r=5-9

r=-4

Answer:

I got r=-1

Step-by-step explanation:

first I had 3 R over the = and into -4r

second I subtracted the 5 over the = and onto the 9

now you have: 4=-1r

divide the -1 over to have a positive R

and a -4

a store received 12 boxes of doughnuts. Each box contained 12 doughnuts. Which expression represents how many doughnuts there are in all?

Answers

Answer:

12x12=144 doughnuts

Step-by-step explanation:

HELP HELP ME PLEASE POINTS WILL BE GIVEN

Answers

Answer:

Step-by-step explanation:

The third one i think

Answer:

the second one

Step-by-step explanation:

sin is opposite over hypotenuse

the hypotenuse is the longest side.

The side opposite of F is equal to 96 and the hypotenuse is 100 so sin f is 96/100 or .96

the opposite side of g is equal to 28 and the hypotenuse is 100 so sin G is equal to 28/100 or .28

18 stamps on 3 sheets = ? stamps per sheet

Answers

Answer:

6 stamps per sheet

Step-by-step explanation:

hope this helps

Answer:

6 stamps per sheet.

Step-by-step explanation:

you would do 18 divided by 3 and you get 6.

Which best describes the triangle

Answers

Answer:

B.

Step-by-step explanation:

Consider the arithmetic sequence:
10, 12, 14, 16, ...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n) = 16 + 3n for n 2-2
A
b(n) = 14 + 2n for n > -1
c(n) = 10 + 3n for n > 0
Dd(n) = 8 + 2n for n > 1

Answers

Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: [tex]a_n=a_1+(n-1)d[/tex]

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

[tex]a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n[/tex]

So, nth term is: [tex]a_n=8+2n[/tex]

In the options below, the only correct answer is option D. so, we can write nth term as: [tex]d(n) = 8 + 2n\: for\: n > 1[/tex]

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ...  is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]

Option D is correct option

Answer:

D) 8 + 2n for n > 1

Step-by-step explanation:

Find the exact length of the third side.
65
16

Answers

I believe it is 63
a^2 + b^2=c^2
a^2+16^2=65^2
a^2+256=4225
a^2=3969
a=63

Which expression can be used to find the zeros of the function f(x) = 4x2 + 2x - 12?​

Answers

Answer:

x=-2 and x=-12

(-12,-2)

Mathis hard and I need help

Answers

Answer:

what do you need help with

Step-by-step explanation:

Answer:

Aight what kind?

Step-by-step explanation:

Can someone help?
Please :)

Answers

Answer:

i think the last one, or b. mostly the last one

Add Solve: n + 7 = 31* Solve: C​

Answers

Answer:

n= 24

Step-by-step explanation:

n +7 =31

Both side -7

n+7 -7 =31-7

n= 24

Cheryl is now x years old.
Her father is 24 years older the. Cheryl
Her brother is 2 years younger than Cheryl. Find her brother's age in terms of x.

Please help!

Answers

Answer: x-2

Step-by-step explanation:

Given

The present age of Cheryl is x years

Father's is 24 years older than Cheryl i.e. x+24

her brother is 2 years younger than her i.e. Present age of Cheryl - 2 years

=(x-2) years

If a ball is thrown straight up into the air with an initial velocity of 85ft/s its height in feet after t seconds is given by y=85t - 16t^2. Find the average velocity for the time period beginning when t=1 and lasting 0.1, 0.01, 0.001

Answers

Answer:

[tex]51.4\ \text{m/s}[/tex]

[tex]52.84\ \text{m/s}[/tex]

[tex]52.984\ \text{m/s}[/tex]

Step-by-step explanation:

The function of displacement is

[tex]y=85t-16t^2[/tex]

[tex]\text{Average velocity}=\dfrac{\text{Total displacement}}{\text{Time elapsed}}[/tex]

Lasting 0.1 s

[tex]v_1=\dfrac{y(1.1)-y(1)}{1.1-1}\\\Rightarrow v_1=\dfrac{85\times 1.1-16\times 1.1^2-(85-16)}{0.1}\\\Rightarrow v_1=51.4\ \text{m/s}[/tex]

The average velocity is [tex]51.4\ \text{m/s}[/tex]

Lasting 0.01 s

[tex]v_2=\dfrac{y(1.01)-y(1)}{1.01-1}\\\Rightarrow v_2=\dfrac{85\times 1.01-16\times 1.01^2-(85-16)}{0.01}\\\Rightarrow v_2=52.84\ \text{m/s}[/tex]

The average velocity is [tex]52.84\ \text{m/s}[/tex]

Lasting  0.001 s

[tex]v_3=\dfrac{y(1.001)-y(1)}{1.001-1}\\\Rightarrow v_3=\dfrac{85\times 1.001-16\times 1.001^2-(85-16)}{0.001}\\\Rightarrow v_3=52.984\ \text{m/s}[/tex]

The average velocity is [tex]52.984\ \text{m/s}[/tex]

can someone help me please?

Answers

Answer: > (1st answer choice)

Step-by-step explanation: 0.9 is greater than 0.81

I need this answer too !! Was the answer above correct ?
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