A farmer raises only ducks and pigs. There are 55 animals in all on his farm, and 146 legs.
Find the number of ducks and pigs on his farm by setting up and solving a system of equations.
Define the variables
Equations
Show all work

Answers

Answer 1

Answer:

Number of ducks = 37

Number of pigs = 18

Step-by-step explanation:

Let,

x be the number of ducks

y be the number of pigs

According to given statement;

x+y=55     Eqn 1

2x+4y=146     Eqn 2 (As ducks will have 2 legs and pigs will have 4)

Multiplying Eqn 1 by 2

2(x+y=55)

2x+2y=110    Eqn 3

Subtracting Eqn 3 from Eqn 2

(2x+4y)-(2x+2y)=146-110

2x+4y-2x-2y=36

2y=36

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{36}{2}\\y=18[/tex]

Putting y=18 in Eqn 1

x+18=55

x = 55-18

x = 37

Hence,

Number of ducks = 37

Number of pigs = 18


Related Questions

write in standard form: eight and twenty nine hundredths

Answers

Answer:

8 hundred 29 thousand

Step-by-step explanation:

No explanation for this question.

8.29dbyevsvegehehshhs

Write an equation of the line with a slope of -4 and a y-intercept of 2

Answers

y=-4+2 hopefully this helps

can someone please help me figure this out

Answers

Answer:

32/40

Step-by-step explanation:

1: Sin= Soh

Soh= Opposite over Hypotenuse

2. A's opposite is 32

3. A's Hypotenuse is 40

4. A = 32/40

Mia is 2 1/2 years older than Chloe. Allen is 6 1.2 years younger than Chloe. Mia is 12 years old. What is Allen’s age?

Answers

Answer:

Allen is 3 years old

Step-by-step explanation:

Mia is 2 1/2 years older than Chloe.

Mia is 12 years old.

Chloe's age is:

12 - 2 1/2 = 10 - 1/2 =9 1/2

Allen is 6 1/2 years younger than Chloe.

Allen’s age is:

9 1/2 - 6 1/2 = 9 - 6 = 3

seven less than 50 times a number *

Answers

Answer:

50x - 7

Step-by-step explanation:

a number: x

50 times a number: 50x

7 less than 50 times a number: 50x - 7

50x-7 is the Correct answer

1.8 (x – 6) = 36

I need this fast. I think it’s 26... (x=26) but it says I’m wrong.. Help please!!!!

Answers

Answer:

26

Step-by-step explanation

You're right about it being 26

Answer:

Umm I think it has to be like this first 1.8 x x is 1.8x and 1.8 x 6 is 10.8 and 36 so now I gonna do 1.8x is 36-10.8 is 25.2 and 1.8x / 25.2 is 14 so x is 14

f(x) = 3x2 +6x - 18 Find f(10)​

Answers

Answer:

eh im good

Step-by-step explanation:

Answer:

Step-by-step explanation:

we will replace x with 10

f(10)=3(10)^2+6(10)-18

f(10)=300+60-18=342

2x/3 divided by 3x/2 if x does not equal 0

Answers

say x = 3 the answer would be 2/4.5 which would end up being 4/9

The value of the expression 2x/3 ÷ 3x/2 when x ≠ 0 is 4/9.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x/3 ÷ 3x/2 when x ≠ 0.

This can be written as,

= (2x/3) x (2/3x)

= 2/3 x 2/3

= 4/9

Thus,

The value of the expression is 4/9.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Explain what it means to be a solution when there are two lines on a graph

Answers

Answer:

Step-by-step explanation:

When the lines intersect, the point of intersection is the only point that the two graphs have in common. So the coordinates of that point are the solution for the two variables used in the equations.

A scale drawn on the map shows that 1 inch represents 10 miles. If two cities are 3.5 inches apart on the map, what is the distance between them in real life? A. 35 miles B. 45 miles C. 55 miles D. 25 miles​

Answers

Answer:

a 35

Step-by-step explanation:

1/10 = 3.5/x

cross multiply and solve

or just do 10 x 3.5 right away

85,179 to the nearest 1,000

Answers

85000 is the answer

PLZ HELP ME WITH MY HW????

Answers

Answer:

alam ko sagot pero mataas

3 23/24 (95/24)

I think you just add the miles together

Hope it helps

Anybody know this? I need some help

Answers

Answer:

17

Step-by-step explanation:

First, you can change the equation to 12 1/2 + 4 1/2, as subtracting a negative number is actually adding it. Then, if easier, the mixed numbers can be changed to improper fractions -- 12 1/2 = 25/2 and 4 1/2 = 9/2. Then add; 25/2 + 9/2 = 34/2, and 34 divided by 2 is 17.

Emiliana runs a restaurant that receives a shipment of 505050 tangerines every day. According to the supplier, approximately 12\, percent of the population of these tangerines is overripe. Suppose that Emiliana calculates the daily proportion of overripe tangerines in her sample of 505050. We can assume the supplier's claim is true, and that the tangerines each day represent a random sample. What will be the shape of the sampling distribution of the daily proportions of overripe tangerines

Answers

Answer:

skewed to the right

Step-by-step explanation:

. Brian can pick forty-five pounds of strawberries in six hours. If he works two ten-hour days, how many pounds of strawberries will he be able to pick?

Answers

Answer:

over 120 i think

Step-by-step explanation:

1. this is the first way to do it: because if he can pick 40 pounds in 6 hours and he worked for about 20 hours that if you divide 20 by 6 you will get three because 6x3=18 hours and 40x3= 120  

2. the second way is when you subtrat 6-10 and get 4 leftover and if you do that twice you get 8 leftover in all and if you do 8-6 it is 2 leftover so in all you have you have three six hours out of 20 and so you would have to multiply 40   times 3 because every six is 40 pounds of strawberries.

Bob sold 34 trading cards, each for 50 cents more than the price he bought them. If each card was originally $0.25, how much did he earn?​

Answers

Answer:

E/A card was sold for $.75, which means the 34 cards were sold for a total of $25.50

nina ran 2.5 miles in 20 minutes at the same pace how long would it take her to run 6 miles

Answers

Answer:

48 minutes

Step-by-step explanation:

first divide 6 miles by 2.5 miles, that will be 2.4 miles, then multiply by 20

Answer:

for 6 miles,it would take 48 minutes

Step-by-step explanation:

2.5 : 20

so

5 : 40

8 min for 1 mile

so

6 : 48

Please answer this correctly without making mistakes

Answers

Answer:

144 feet and 8 inches

The answer is 144f and 8inchs

Jeremy is building a ramp to the entrance of a school. If the ramp needs to vertically rise 6 ft

Answers

Answer:

The height is 6 feet, and the length of the ramp is the hypotenuse of a right triangle with angle 28 degrees with the ground

Step-by-step explanation:sin

28=6/x

x*sin 28=6

x=6/sin 28=12.78 ft.

x=3
You earn $15 every 3 weeks. At this rate, how much will you earn in 6 weeks?
$15
ОО
$5
$30
$10
Clear selection

Answers

Answer:

You would earn $30

Step-by-step explanation:

3 * 2 = 6, so you would multiply 15 by 2 giving you 30.

Answer: 30
Why: because 15*2=30 and 3*2=6 weeks

Emma changed £500 into rand before going on holiday, at an exchange rate of £1= 20.8 rand.

A) how many rand did she get for her £500.

Emma spent 8000 rand on holiday. When she got home, she changed her leftover rand into pounds at the new exchange rate of £1= 19.6 rand.

B) How much money did she get back in pounds?

Answers

She got 4.30 dollars back
A




- Harvard university professor

ENCHI

A TV is measured by its diagonal. If the height of a 60 inch

TV is 32 inches, what is the width?

Answers

Given :

A T.V. is measure by its diagonal.

To Find :

If the height of a 60 inch  T.V. is 32 inches, what is the width.

Solution :

We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .

Let, width of T.V. is x.

Applying Pythagoras theorem in sides, we get :

[tex]height^2 + width^2 = hypotenuse^2\\\\23^2 + x^2 = 60^2\\\\x = \sqrt{3600 -529 }\\\\x = 55.42 \ inches[/tex]

Therefore, width of T.V. is 55.42 inches.

find the value of x. inscribed angles

Answers

9514 1404 393

Answer:

  x = 33°

Step-by-step explanation:

The value of an inscribed angle is half the value of the arc it subtends.

The angle marked x subtends the arc marked 66°, so has a value of ...

  x = 66°/2

  x = 33°

_____

The value of y is similarly found.

  y = 96°/2

  y = 48°

__

The angle marked with a dot is an external angle of the triangle, so is the sum of the remote internal angles, x and y:

  dot angle = x + y = 33° +48° = 81°

Of course, angle z is the supplement of this:

  z = 180° -81°

  z = 99°

Answer:

x=33

Step-by-step explanation:

The answer would be x=33

Find the measure of one interior angle in each regular polygon. Plz

Answers

Answer:

108°

Step-by-step explanation:

If regular polygon has n sides, then each interior angle = 180° - (360/n)°.

When n = 5, interior angle = 180° - (360/5)° = 108°

teresa says the two expressions below are equivalent: 2(5x-3) + 6x and 16x -3 is teresa correct? Explain why or why not

Answers

Answer:

No.

Step-by-step explanation:

2(5x-3) + 6x  is equal to 16x-6:

Distribute:

=(2)(5x)+(2)(−3)+6x

=10x+−6+6x

Combine Like Terms:

=10x+−6+6x

=(10x+6x)+(−6)

=16x+−6,

Which is not equal to 16x-3

Any one talented student????
if long answer plzz
Can anyone solve them all ???
;( ;( ;( ​

Answers

Answer:

Step-by-step explanation:

A=3*10^5*2.5*10^3/2.25*10^2=

300000*2500=750000000

750000000/225=3333333.3333

B=4.8*10^-5*3.2*10^9/1.6*10^16*2.4*10^-3=

0.000048*3200000000=153600   or 1.536*10^5 Answer

16000000000000000*0.0024=3.84*10^13

153600/3.84*10^13=0.000000000.4    0r 4*10^-9 Answer

C=6.7*10^-11*2.25*10^20*3.6*10^20/(3.35*10^4)^2

0.000000000067*250000000000000000000*3600000000000000/(33500)^2=4.967764727*10^20 Answer

D=9.1*10^7+6.5*10^7/1.3*10^3

91000000+65000000/1300=120000   or 1.2*10^5 Answer

E=2.5*10^3+3.9*10^4/1.6*10^2

5000+39000/160=259.375 Answer

F=7.2*10^-4.8*10^5/2.4*10^3

7200000-480000/2400=2800 or 2.8*10^3 Answer

Hope this helpssss xx

I think answer should be what the first person wrote as I agree with this answer

The measures of two sides of a triangle are 4in and 13in. Find all possible values that the third side of this triangle can be?

Answers

Answer:

9 < x < 17 is the possible length of the third side of a triangle.

Step-by-step explanation:

The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.

Given the two sides of the triangle

4 in13 in

Let 'x' be the length of 3rd size.

According to the Triangle Inequality theorem,

The difference of two sides < x < The sum of two sides

13 - 4 < x < 13+4

9 < x < 17

Therefore, 9 < x < 17 is the possible length of the third side of a triangle.

Follow the steps and write the equation represented by this graph.



Step 1: Write the general equation.

Step 2: Identify b, the Y intercept (x = 0) b=

Step 3: The second point from graph (x, y) P=
,

Step 4: Define m as ratio of rise / run m = rise /

Step 5: Put coordinates into ratio and get (7 -
) / (
- 0)

Step 6: Perform subtraction; get slope
/ 1

Step 7: Substitute values into y = mx + b

Step 8: Write answer y =
x +

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

Step 1: Write the general equation

y = mx + b

Step 2: Identify b, the Y intercept (x = 0)

b is the value of y when x = 0.

From the graph, when x = 0, y = 3.

Therefore, b = 3

Step 3: The second point from graph (x, y):

P = (1, 7)

Step 4: Define m as ratio of rise / run:

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Step 5: Put coordinates into ratio:

Using the two coordinates, (0, 3) and (1, 7), we would have,

[tex] m = \frac{7 - 3}{1 - 0} [/tex]

Step 6: Perform subtraction to get slope:

[tex] m = \frac{4}{1} [/tex]

m = 4

Step 7: Substitute values into y = mx + b:

Thus, plug in the values of m and b into the slope-intercept equation.

b = 3, m = 4, therefore:

y = (4)x + (3)

Step 8: Write answer:

y = 4x + 3

A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the following absolute value inequalities matches this scenario?


Question 1 options:

A) 
|x + 25| > 6

B) 
|x – 25| ≤ 6

C) 
|x + 25| ≤ 6

D) 
|x – 6| > 25

Answers

Answer:

|x – 25| ≤ 6

Step-by-step explanation:

Given:

Car run per gallon = 25 miles per gallon

Fluctuate value = 6 miles per gallon

Find:

Equation

Computation:

x ≤ 25 ± 6

|x – 25| ≤ 6

Answer: x-25[<6

by-step explanation:

find the equation

PLEASE HELP NEED DONE FAST!!!

Michelle has a math assignment with 60 problems. She solved 1/5 of the problem that School. Then Michelle solved 1/4 of the remaining problems at home. How many problems she have left to solve.

Answers

Answer:1/2

Step-by-step explanation:

Other Questions
William got scores of q sub 1, , and q sub 3 on three quizzes.a. Write a formula for the average x of all three quizzes.b. William got an 85 and an 88 on the first two quizzes. What formula can William use to determine the score he needs on the third quiz to get an average of 90? What score does he need? find the sum of the following 2+4+6+8+.....+30 write the equation of a line passing through the points (-3,4) and (3,4) can somebody estimate 4611 divided to 21 What is assonance? (5 points) What is the term used to describe the "old stone age", which began about 2.5 million years ago? I've been given this for maths and I have no clue what to do can someone help me out? PLZ HELP IM ON A TESTMatch the Spanish phrase with the correct English translation.Drag each tile to the correct box.Tiles:he isshe hasI haveyou are (formal)you have (informal)I amwe arethey haveSpanish Phrase:yo soy usted es yo tengo ellos/ellas tienen t tienes nosotros somos ella tiene l es the mass to change ratio of the proton is found to be 1.04410KG/C.the change on the proton is 1.60210C.calculate the mass of proton. The table shows the sales price and the discount offered at different stores for a bicycle that Juan wants to pureStore NameDiscountZ-MartRegular price12% off$50 off25% offBike World$265Juan wants to get the best deal. Which store offers the bike at the lowest price after the discount?O A Z-MartOBBike WorldOC. Not enough information to tellD. ABC Sports 5.How was membership in the transcendental club established? How difficult was it to become a member? Where is the youngest rock in the Atlantic Ocean found? plz hurry How did the printing press help the Abolitionist movement? Find the set of solutions for the equation 2x+5=2x Which of the following is a good example of Spatial DiffusionA. Columbian ExchangeB. American ExchangeC. Columbus ExchangeD. Manifest Destiny Describe the abilities of someone with analytical/research skills. please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest if answer all Two irregular pentagons are constructed so that every side has a length of 1 unit. Does this necessarily mean that these figures are congruent with one another? Why or why not? Type here to search I What could happen if two of the base pairs on this strand of DNA were switched? A compound containing xenon and fluorine was prepared by shining sunlight on a mixture of Xe (0.526 g) and excess F2 gas. If you isolate 0.678 g of the new compound, what is its empirical formula