Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and
cows he saw. Let X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?

Answers

Answer 1

Answer:

44 cows and 36 ducks.

Step-by-step explanation:

x is ducks and y is cows.

Assuming both have 1 head each, we can write:

x + y = 80.

Let's assume each x(cow) has 4 legs and each y(duck) has two legs.

Then we can add the numbers of legs:

2x + 4y = 248 legs

Now rearrange x + y = 80 to:

x = 80-y

and substitute:

2x + 4y = 248 legs

2(80-y) + 4y = 248 legs

160 - 2y + 4y = 248 legs

2y = 88 legs

y = 44   [There are 44 cows]

Use this value to find the number of ducks:

x + y = 80

44 + y = 80

y = 36  [There are 36 ducks]

========================

Check:

Do 44 cows and 36 ducks have a total of 248 legs?

4*44 + 2*36 = 248 ?

176 + 72 = 248?

YES


Related Questions

Complete the table to determine the cost assigned to ending inventory and cost of goods sold using specific identification

Answers

The ending inventory that van be gotten from the table will be $9905 and the cost of goods sold is $5083.

What is ending inventory?

It should be noted that the ending inventory simply means the goods that are still available for sale at the end of an accounting period.

From the complete question, the ending inventory will be:

= $3190 + $2295 + $4420

= $9905

Also, the cost of goods sold will be:

= $2465 + $473 + $2145

= $5083

Learn more about inventory on:

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Students can choose water, milk, or juice for lunch. The graph shows student drink choices from yesterday's lunch. What is the experimental probability that a student will choose juice for lunch?

a. 20%
b. 13%
c. 70%
d. 60% ​

Answers

Answer:

for me its b.

Step-by-step explanation:

because its up to 5% to 12%

Over which interval is the graph of the parent absolute value function decreasing?.

Answers

The graph of the parent absolute value function decreases over (–∞, 0) interval.

What is the parent absolute value function?

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

Recall that the absolute value of a number is its distance from 0 on the number line.

The absolute value function is f(x) = |x| is defined as,

[tex]\rm f(x)= x \ if\ x > 0\\\\f(x)= 0 \ if\ x=0\\\\ f(x)=- x \ if\ x < 0\\[/tex]

Observe that the graph is V-shaped.

The vertex of the graph is (0,0).The axis of symmetry (x =0 or y-axis) is the line that divides the graph into two congruent halves.The domain is the set of all real numbers.The range is the set of all real numbers greater than or equal to 0. That is y ≥0.The x-intercept and the y-intercept are both 0.

Hence, the graph of the parent absolute value function decreases over (–∞, 0) interval.

To know more about the Absolute function click the link given below.

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Find the area of the shaded region

Answers

Answer:

The shaded area is 35

Step-by-step explanation:

Big rectangle area: 7 * 10 = 70

Small rectangle area: 5 * 7 = 35

Difference: 35

I am learning ratio and proportion

Answers

The answer to your question is (B) hope that helps :)

Answer:

Unit Quantity is the answer

Pls help (giving brainliest to first answer)

Answers

Answer:

(0, -7) and (5, 0)

Step-by-step explanation:

y-intercept is when x = 0, therefore (0, -7)

x-intercept is when y = 0, therefore (5, 0)

Answer:

X intercept: (5,0) Y intercept: (0,-7)

Step-by-step explanation:

So you want to look at where you have an x value (input) and it's output (y) is 0 for x intercept, and you want to look at the y value (output) and it's input (x) to be 0 for the y intercept, so on the left we see that 5 = 0, and on the right we see that -7 = 0, and then write them as is, so (5,0) and (0,-7)

Hope that made sense and this helps!

Celia has some cakes.
2/3
of the cakes are chocolate cake and
6/7
of the remaining cakes are cheesecakes. The rest of the cakes are carrot cakes.
What fraction of the cakes are carrot cakes?
Leave your answer as a fraction in the simplest form.

Answers

The carrot cakes are the fraction of the cake given by [tex]1 - \frac{6}{7}[/tex] multiplied by [tex]\frac{1}{3}[/tex]

The fraction of the cakes that are carrot cakes is [tex]\underline {\dfrac{1}{21}}[/tex]

How are the cakes evaluated as fractions?

The fraction of the cake that are chocolate cake = [tex]\dfrac{2}{3}[/tex]

The fraction of the remaining cake that cheesecakes = [tex]\dfrac{6}{7}[/tex]

The rest of the cakes = carrot cakes

Required:

The fraction of the cake that  are carrot cakes

Solution:

The fraction of the cakes that are not chocolate cake = [tex]1 - \dfrac{2}{3} = \mathbf{ \dfrac{1}{3}}[/tex]

The fraction of the remaining cakes that are cheesecake = [tex]\dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{ \dfrac{6}{21}}[/tex]

The fraction of the cake that are carrot cake = [tex]\dfrac{1}{3} - \dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{\dfrac{1}{21}}[/tex]

The fraction of the cakes that are carrot cake is [tex]\underline{\dfrac{1}{21}}[/tex]

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helpppppp pleaseeeeeee​

Answers

I think it would be b because you can just see how the scent wcw is

please help ASAPPPP SOMEONE :(

Answers

Answer:

rip

Step-by-step explanation:

Could i get some help here please?

Answers

Answer:

22+4x=90

x=17

Step-by-step explanation:

From the picture, we can see that the two angles form a right angle.

The equation will be 22+4x=90

Then use that equation to solve for x.

4x=68

x=17

Not sure but here’s how i would solve it
4x +22 = 90
So we want the x only so you will subtract 22 on both sides
So you’ll have 4x= 68
Then you will divide the 4 on both sides
So you got 4x/4 = 68/4
So finally the x = 17

A metal statue weighs 9.25 pounds 90% of the statue is made of silver how many pounds of silver are in the statue

Answers

Answer:

8.325 pounds

Step-by-step explanation:

Step 1: Multiply 90 by 0.0925.

[tex]90*0.0925[/tex] [tex]8.325[/tex] 8.325 lb

Therefore, 8.325 pounds of silver are in the statue.

Help me pls

1. In a two-digit number, the sun of the two digits is 10. If the two digits are reversed, the original number is less than the new number by 36. Find the original number.

2. In a two-digit number, twice the tens digit is less than the units digit by 3. If the two digits are reversed, the new number is greater than twice the original number by 18. Find the original number

Answers

1) The pairs of numbers are:

19 and 91, which do not satisfy the condition

28 and 82, which do not satisfy the condition

37 and 73, which satisfy the condition

45 and 54, which do not satisfy the condition

The number is 37.

Another method:

10x+y+36 = 10y+x, or

9x+36 = 9y, or

x+4= y …(1)

x+y = 10, or

y = 10-x …(2)

Equate (1) and (2)

x+4 = 10-x

2x = 10–4 = 6, or x = 3 so y = 10–3 = 7.

So the number is 37

( Sorry I can answer number 1 i'm in a rush and I don't really use my brain it's useful but also not. I hope someone answer your question number 2 'ᴗ' Good luck! I also hope my answer is useful. )

PLEASE HELP ASAP DUE TODAY PLEASE 15 POINTS ​

Answers

A. - incorrect, we can see that Jack need add 1 more layer on picture

B. - correct. 8×2=16

C. - correct. cube's side is 1 centimeter, 1×8=8

D. - incorrect, we can see that box is 2 centimeters high

E. - correct

[tex]\text{volume}=\text{1st side}\times\text{2nd side}\times \text{height}\\\text{1st side}=2\\\text{2st side}=8\\\text{height}=2\\\text{volume}=2\times2\times8=32 cm^3[/tex]

F - incorrect, i counted volume in E

Answer: BCE

Sorry if i have mistakes in text, i'm from russia tho

Pamela drove her car 999999 kilometers and used 999 liters of fuel. She wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis she can drive with 121212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.
How many kilometers can Pamela drive with 121212 liters of fuel?

Answers

Answer: you made this up there is no answer

Step-by-step explanation:

Answer:

k 90

Step-by-step explanation:

you just get the two factorial numbers

Match the terms to their definition.

1. a mathematical expression containing one or more variables
substitution
2. to find the numerical value of
evaluate
3. replacing its quantity with its equal
algebraic expression
4. a letter or symbol used to represent an unknown
variable

Answers

3. constant - D. a numerical value

2. coefficient - A. the constant preceding the variables in a product

4. expression -E. a mathematical phrase....

5. variable - B. a letter... representing an unkown

1. algebraic expression - C. a mathematical expression...

Find Theta in degrees. WILL MARK BRAINLIEST I PROMISE<3333

Answers

Answer:

[tex]sin \alpha = \frac{opposite}{hypotenuse} \\ sin \alpha = \frac{8}{17} \\ sin \alpha = 0.470588235294117 \\ \alpha = {sin}^{ - 1} (0.470588235294117) \\ \alpha = 28.07 \: degrees[/tex]

I need help!!!!!!!!!

Answers

Answer:

Greatest- 2 × 4/9

Then- 1  2/3 × 4/9

Then- 7/7 × 4/9

Lest- 3/4 × 4/9

Step-by-step explanation:

The right hand fraction you are timing by is the same whilst on the left they grow so you order them and dont focus on the times aspect of the question



Syntax error wrong question

Question shown below within image.

Answers

Answer:

m∠x = 119°

m∠y = 61°

m∠z = 119°

Step-by-step explanation:

Angle x:

m∠x = 180° - 61°       (sum of angles in a straight line)m∠x = 119°

Angle y:

m∠y = 61°                   (Alternate interior angles)

Angle z:

m∠z = 119°               (Sum of angles in a line, corresponding angles)

-Chetan K

How do i solve this???

Answers

………………………………………………………

Business A charter bus service charges a $125 transportation fee plus
$8.50 per passenger. This is represented by the function c = 8.5p + 125,
where c is the total cost based on p passengers. What is the total cost of
transportation for the following numbers of passengers: 50, 100, 150, 200,
and 250?
Life Science Tyrannosaurus rer was one of the largest
non

Answers

Answer:

550, 975, 1400, 1825, and 2250

Step-by-step explanation:

Ricky is taking out a personal loan for $12,000 to remodel his kitchen. He would like the lowest monthly payment possible, even if it means a bigger finance charge in the end. His bank has offered him a loan at 13% interest for 36 months or 12% interest for 60 months, both of which are compounded monthly. Which of the following statements most accurately describes what Ricky should be thinking?
a.
More payments with the 60 month loan will give him the lowest monthly payment.
b.
Fewer payments with the 36 month loan will give him the lowest monthly payment.
c.
The 60 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.
d.
The 36 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

the correct answer is: a. More payments with the 60 month loan will give him the lowest monthly payment.

Step-by-step explanation:

Hope this help :) LMK

Fewer payments with the 36 monthly loan will give him the lowest monthly payment.

Option B is the correct answer.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P (1 + r/n)^{nt}

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Ricky should choose the 36-month loan at 13% interest, which has a higher interest rate but a shorter repayment period.

This means that he will have fewer payments to make, which will result in a lower monthly payment.

The 60-month loan may have a lower interest rate, but the longer repayment period will result in a larger finance charge and a higher monthly payment.

Thus,

Fewer payments with the 36 monthly loan will give him the lowest monthly payment.

Learn more about compound interest here:

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#SPJ5

(5x2 + 23x - 7) - (x2 - 4x + 21) is equivalent to expression​

Answers

4x² - 27x - 28 is the answer

Step-by-step explanation:

As per question,

(5x² + 23x - 7) - (x² - 4x + 21)

Removing the parentheses,

→ 5x² + 23x - 7 - x² + 4x - 21)

Now reorder and gather the like terms,

→ (5x² - x²) + (23x + 4x) + ( -7-21 )

Collecting the coefficients of like terms,

→ (5-1)x² - (23+4)x + ( -7-21 )

Calculating them now, we get,

4x² - 27x - 28

So, (5x² + 23x - 7) - (x² - 4x + 21) = 4x² - 27x - 28

what is the 43rd term for 260,255,250

Answers

Answer:

43rd term = 50

Step-by-step explanation:

[tex]43rd \: term = 50[/tex]

The required 43rd term will be 50 in the given arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The arithmetic sequence is given in the question as:

260, 255, 250...

This above sequence has:

The first number a₁ = 260

Common difference d = 255 - 260 = -5

The formula to find the general term of an arithmetic sequence is,

Tₙ = a₁ + (n-1)d ...(i)

Substitute the value of d = -5 and a₁ = 260 in the above formula

43rd term = 260 + (43-1)(-5)

43rd term = 260 - 42(5)

43rd term = 260 - 210

43rd term = 50

Therefore, the required 43rd term will be 50.

Learn more about arithmetic sequence here:

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#SPJ2

please please please help

Answers

Answer:

32

4 cups

Step-by-step explanation:

Answer:

ratio

Step-by-step explanation:

0 to 100

i dont know the second one srry

Evaluate the following expression

53 =

Answers

Hey there!


Assuming you meant:

5^3


IF SO, LETS SOLVE FOR IT!


5^3

= 5 * 5 * 5

= 25 * 5

= 25 + 25 + 25 + 25 + 25

= 50 + 50 + 25

= 100 + 25

= 125


Therefore, your answer is mostly likely:

125


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A robot can complete 7 tasks in
2
3 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one​ task?
b. How many tasks can the robot complete in one​ hour?

Answers

the answer is fourteen (14)

PLEASE HELP: find the minimum and maximum values for the function with the given domain interval

Answers

Answer:

I think that it's the third one.

Step-by-step explanation:

Answer:

minimum value = 0.001

maximum value = 10

Step-by-step explanation:

To find the minimum and maximum values for the function, substitute the endpoints of the domain into the function:

when x = -3:

[tex]\implies k(-3)=10^{-3}=0.001[/tex]

when x = 1:

[tex]\implies k(1)=10^{1}=10[/tex]

Therefore,

minimum value = 0.001

maximum value = 10

………….. need help filling out

Answers

Answer:

dilation is size

Step-by-step explanation:

Create an equation using the table of values below.

Answers

Answer:

1.  y = 2x - 1

Step-by-step explanation:

See attached image.

Help guysss does anyone know the answer to this ?

Answers

I only got the answer for 2. My apologies, the simplified version of this equation is 2+9+5

Answer:

Step-by-step explanation:

1) Amir’s mistakes:

On the second layer, he hadn’t substrated k from 3k => 3+5+9p is wrong;

On the last layer, he added 8 with 9p which is incorrect,he can’t get 17p by adding them.


2)3k+5-k+9p

3k-k+5+9p

2k+5+9p

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