A farmer notes that in a field full of horses and geese there are 36 heads and 106 feet. How many of each animal are there?

Answers

Answer 1

Answer:

17 horses and 19 geese

Step-by-step explanation:

Let x be the number of horses and y be the number of geese

We know that, horses have four feet and geese have 2 feet

It is given that

x+y=36 (i)

and

4x+2y=106 (ii)

Solve the two equations simultaneously by substitution,

From equation (i)

y=36-x (iii)

Substitute y with 36-x in equation (ii)

4x+2(36-x)=106

4x+72-2x=106

4x-2x=106-72

2x=34

x=17

Then

Substitute x=17 to equation (iii)

y=36-17=19

x=17, y=19

We therefore have 17 horses and 19 geese


Related Questions

the radius of a circle is 9 M what is the circle's circumference use 3.14 for pi​

Answers

Answer:

56.52 is the circumference. If the radias is 9 and the diameter is then 18.

Step-by-step explanation:

Answer:

56.52 is the circumference. If the radias is 9 and the diameter is then 18.

Step-by-step explanation:

What is the area of the figure?

Answers

Answer:

252 in²

Step-by-step explanation:

Just separate them into different shapes and add their areas together.

Answer:

252 Inches

Step-by-step explanation:

We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.

If a car is traveling east when it passes the camera, will its position be positive or negative 60 seconds after it passes the camera? If we multiply two positive numbers, is the result positive or negative?

Answers

Step-by-step explanation:

I can only answer part 2 of your question, "If we multiply two positive numbers, is the result positive or negative?". if you multiply 2 positive numbers your answer would be positive.

If we multiply two positive numbers, then the result is also positive.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that If a car is traveling east when it passes the camera, then;

the position be positive 60 seconds after it passes the camera.

Therefore, If we multiply two positive numbers, then the result is also positive.

Learn more about multiplications;

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A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled.
Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?
A) 108 in.2
B) 492 in.2
C) 420 in.2
D) 528 in.2​

Answers

C is your answer.....

The required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.

What is surface area?

Surface area is defined as the measure of a region or surface is called as surface area.

The best estimate of the area of the stovetop that does not include the area of the burners can be obtained by subtracting the total area of the four burners from the total area of the stovetop.

The total area of the stove top is given by the product of its length and width:

Length = 24 inches

Width = 22 inches

Area = Length × Width = 24 × 22 = 528 square inches

The area of each burner is given by the formula for the area of a circle:

= π × (diameter/2)²,
where π is approximately equal to 3.14

Since the diameter of each burner is 6 inches, the radius of each burner is 6/2 = 3 inches.

Area of one burner = Pi × (3)² = 3.14 × 9 = 28.26 square inches

The total area of the four burners is 4 × 28.26 = 113 square

The area of the stove top = 528 - 113
                                       = 415 square inches.

Thus, the required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.

Learn more about the surface area here:

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what a ratio of 4 days to 36 hours​

Answers

Answer:

4:36

24 x 4:36

96:36

8:4

1day = 24 hours

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

the answer is 162

(to add more letters)

Brayden is going to an amusement park. The price of admission into the park is $35,
and once he is inside the park, he will have to pay $2 for every ride he rides on. How
much money would Brayden have to pay in total if he goes on 15 rides? How much
would he have to pay if he goes on r rides?

Answers

2x15= 30
35+30=65
He would pay 65 if he rode 15 rides

Answer: $65; $35+r•2

Step-by-step explanation:

So if every ride Brayden goes on costs $2 and he rides 15 rides, 2•15= $30 from rides alone. Then you add the $35 from admission to that number to get $65. This works for any amount of rides, just change the number to how many rides he goes on and use the same formula, 35+r•2 where r equals the number of rides ridden.

Can someone help me with this please
What is the right answer for it?

Answers

that would be 3 or 4 cm
8x(7+8)=10x(10+AB)
120=10x(10+AB)
12-2=AB

if we need to decrease the standard deviation of the sampling distribution by half what do we need to do to the sample size

Answers

Answer:

The answer is below

Step-by-step explanation:

For a normal distributed population with a mean (μ), and a standard deviation (σ), if a sample size of n is selected from the population, the mean of the sample ([tex]\mu_x[/tex]) =  μ and the standard deviation of the sample ([tex]\sigma_x[/tex]) = [tex]\frac{\sigma }{\sqrt{n} }[/tex]

Let the normal distribution population have a standard deviation of σ. If the standard deviation is to be decreased by half, the sample size (n) needed is:

[tex]Using:\\\\\sigma_x=\frac{\sigma}{\sqrt{n} } \\\\but\ \sigma_x=\frac{\sigma}{2}\\\\Hence:\\\\ \frac{\sigma}{2}=\frac{\sigma}{\sqrt{n} }\\\\Divide\ through\ by \ \sigma\ to\ get:\\\\ \frac{1}{2}=\frac{1}{\sqrt{n} }\\\\\sqrt{n}=2\\\\square\ both\ sides:\\\\(\sqrt{n} )^2=2^2\\\\n=4\\\\[/tex]

To decrease the standard deviation of the sampling distribution by half we need a sample size of 4

Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0.55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?

55 cupcakes per dollar

$0.55 per cupcake

$4 per cupcake

4 cupcakes per dollar

Answers

$0.55 per cupcake bc if you plug 1 in for x then c would be equivalent to $0.55

Write a four digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number
Is divisible by 2

Answers

Answer:

4894

Step-by-step explanation:

I know that it is divisible by 2, because it is an even number, and also the one's digit has 4, which is divisible by 2.

hope this helps :3

Answer:

2344

Step-by-step explanation:

I know that it is divisible by 2 because the digit in the ones place

2344

is an even number so that makes it divisible by 2.

I HOPE IT HELPS!

You are skiing down a mountain with a vertical height of 650 feet. The distance from the top of the mountain to the base is 1300 feet. What is the angle of elevation from the base to the top of the mountain

Answers

Answer:

The angle of elevation from the base to the top of the mountain is 30°.

Step-by-step explanation:

Given: Vertical height of mountain is 650 feet and the distance from the top of the mountain to the base is 1300 feet.

To find: The angle of elevation from the base to the top of the mountain.

Let AB be the height of mountain and BC be the base.

Then, according to question, AB=650 feet and AC=1300 feet.

Let ∠ACB=[tex]\Theta[/tex].

Then, in ΔABC,

[tex]sin\Theta=\frac{AB}{AC}[/tex]

⇒[tex]sin\Theta=\frac{650}{1300}[/tex]

⇒[tex]sin\Theta=\frac{1}{2}[/tex]

⇒[tex]\Theta=30[/tex]°

Hence, the angle of elevation from the base to the top of the mountain is 30°.

Tim has 54 golf balls. He wants to put an equal number of golf balls in each of 9
baskets. How many golf balls will be in each basket?
CLEAR
SUBMIT
5 golf balls
6 golf balls
7 golf balls
8 golf balls

Answers

Answer: 6

Explanation: 9x6=54

Find the indicated probability. In one town, 71% of adults have health insurance. What is the probability that 4 adults selected at random from the town all have health insurance

Answers

Answer:

0.254

Step-by-step explanation:

Given that:

Percentage of those having health insurance = 71%

p = 71 / 100 = 0.71

Number of adults selected at random, n = 4

Probability that 4 selected have health insurance :

p^n = 0.71^4 = 0.25411681

= 0.254

15) A store is having a sale during which all outdoor furniture is 45% off the original price, p. If

the post-sale price of an outdoor furniture set can be calculated using the expression p

0.45p, which expression also represents the price?

Answers

Answer and explanation:

Given that there is 45% off original price of outdoor furniture and price is represented by p

Discount on original price of outdoor furniture = 45% of p=0.45×p=0.45p

Therefore post sale price(after discount) of outdoor furniture can be represented by (1-0.45)p=0.55p

132 is what percent of 880

Answers

Answer:

Step-by-step explanation:

132 is what percent of 880? = 15.

A dog walker charges a flat fee of $20 to all of his clients for coming to walk their
dogs. He then charges a fee of $12 per dog he has to walk. Write a linear equation to
model this scenario.

Answers

Answer:

12(x) + 20

Step-by-step explanation:

x represents the amont of dogs and the +20 is the flat fee.        

The National Household Travel Survey gathers data on the time of day when people begin a trip in their car or other vehicle. Choose a trip at random and record the time at which the trip started. What probability should replace the "?" in the table?

Time of Day 10PM- 12:59AM 1AM- 5:50AM 6AM- 8:59AM 9AM- 12:59PM 1PM- 3:59PM 4PM- 6:59PM 7PM- 9:59PM
Probability 0.004 0.033 0.144 0.234 0.208 ? 0.123

a. 0.964
b. 0.379
c. 0.752
d. 0.218

Answers

Answer:

A probability of 0.254 should replace the "?" in the table

Step-by-step explanation:

We have the probabilities for the time of the day when each person begins a trip, during a 24-hour period.

The sum of these probabilities has to be 100% = 1.

The probabilities are of: 0.004, 0.033, 0.144, 0.234, 0.208, ?, 0.123

Since their sum has to be 1, we can find ?. So

0.004 + 0.033 + 0.144 + 0.234 + 0.208 + ? + 0.123 = 1

0.746 + ? = 1

? = 1 - 0.746

? = 0.254

A probability of 0.254 should replace the "?" in the table

Solve for x.
3 (4-2x) = -2x
A)-1
B)1
C)2
D)3

Answers

ExplanationGiven the equation.

[tex]3(4 - 2x) = - 2x[/tex]

Distribute 3 in the expression.

[tex]12 - 6x = - 2x[/tex]

Solve the equation for x-term by making x as the subject.

[tex]12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x[/tex]

Answer Check by substituting the value of x in the equation.

[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]

The equation is true when x = 3. Therefore the answer is D. 3

Answer

[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]

Answer:

solution

Step-by-step explanation:

3 (4-2x)= -2x

12-6x= -2x

12= -2x+6x

12= 4x

12÷4= x

3= x

D

Which equation represents the following table?

Answers

Answer:

y=2x-4

Step-by-step explanation:

gdgdvdjsksevsg

Which is the simplified form of ,-7 +5-12?

12
0 - - s12
s12
0 +11
s12

Answers

0- - s12 of -7+5-13
Yeah I think

A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Yi denote the number of times exit i is chosen in successive runnings. For the following, assume that the rat chooses an exit at random on each run.

Required:
Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2

Answers

Answer:

Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2

=0.823

Step-by-step explanation:

Multinomial distribution

p(y1;y2,y3…..yk) = (n!/y1!,y2!,y3!…y4!) x p1^y1 x p2^y2 x p3^y3 x pk^yk)  

The rat chooses of the three exists at random:

p = 1/3

p(3,2,1) = 6! / 3! 1!  2! (1/3)^3 (1/3)^1 (1/3)^2

              =20/243

              =0.823

The one-to-one functions g and h are defined as follows.
HELP PLEASE

Answers

Answer:

2, (x+13)/6, -7

Step-by-step explanation:

The -1 bit means do it backwards, so look the for the output of the function with the value given.

In g, when we put in 2 we get 9 out, so g^-1(9) is 2.

For the second one we need to rearrange it to get x = something.

h(x) + 13 = 6x

x = (h(x) + 13)/6

Then replace the h(x) with x and the x with h^-1(x) to get

h^-1(x) = (x + 13)/6

The last one is a trick. Note that h and h^-1 are opposites. If we do something then do the opposite of it, we haven't done anything at all! So the number stays the same.

Tay used 52 fruits altogether,
Here are two equations, where x is the number of apples
and y is the number of strawberries:
y = 3x
52 = x+y
How many of each type of fruit did Tay use?





I need helpppppppp

Answers

Answer: x=13,y=39

Step-by-step explanation: y=3x,x+y=52

x+3x=52

4x=52

x=52/4

x=13

y=3(13)

y=39

Find the surface area of this triangular prism 18cm 30cm 24 cm 7cm

Answers

Answer:

936

Step-by-step explanation:

18*24=432

24*7=168

30*7=210

18*7=126

432+168+210+126

=936

Determine whether m(t)=(4/5)^t represents exponential growth or exponential decay. And Identify the percent rate of change.

Answers

Answer:

Step-by-step explanation:

exponential decay

rate of change: 20%

A coin is weighted so that the probability of heads is 0.64. On average, how many coin flips will it take for the tails to first appear

Answers

Answer:

1.563

Step-by-step explanation:

Given :

Probability of head, p = 0.64

Number of flips it would take for tail to appear first :

Treatting the question as a geometric function :

Using the relation :

1 / p

Expected number of flips until first tail :

1 / P = 1/ 0.64 = 1.5625

E(x) = expected number of flips until first tail = 1.563

find the value of trigonometric ratio

Answers

Answer:

they all are the same but the 2nd one has more of a lumnicution so thats the answer

Step-by-step explanation:

[tex]\frac{1}{3}x+6=8[/tex]

Answers

x = 6
Have a great rest of your day !
The answer to the problem is 2 because you need to get x by itself so subtract 6 on both sides of the equal sign.

michiko bought pens for $3.85 and pencils for $1.25 how much did she spend all together? ​

Answers

Answer:

5.1 :)

Step-by-step explanation:

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