while on a walk in the country, you pass a field full of horses and geese. after a quick count, you determine there are 33 heads and 102 feet in the field. how many of each animal are there?

Answers

Answer 1

The field is full of 18 horses and 15 geese.

Let's assume that there are x horses and y geese in the field. The number of heads can be represented as x + y = 33. The number of feet can be represented as 4x + 2y = 102.

We can use substitution to solve for one variable in terms of the other. From the first equation, we can solve for y in terms of x:

y = 33 - x

Substituting this expression for y into the second equation, we get:

4x + 2(33 - x) = 102

Expanding and simplifying the expression, we get:

4x + 66 - 2x = 102

Solving for x, we get:

2x = 36

And x = 18

So there are 18 horses in the field. Substituting this value for x into the expression for y, we get:

y = 33 - x = 33 - 18 = 15

So there are 15 geese in the field. Thus, the field is full of 18 horses and 15 geese.

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Related Questions

1: Which statement is true about the speeds of the two cars? Car 1 is traveling faster than Car 2. Car 2 is traveling faster than Car 1. The two cars are traveling at the same speed. The speeds cannot be compared because there is not enough information about Car 2.

Answers

Answer:

KKKKKKKKKKK

Step-by-step explanation:

LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLKKK


Use the graph to complete the statement.
The triangle at the top of the graph is a reflection of the
triangle at the bottom.
Over what line is the triangle reflected?
The triangle is reflected over line _________

Use the graph to complete the statement.The triangle at the top of the graph is a reflection of thetriangle

Answers

Answer:

C

Step-by-step explanation:

I know my reflections =D

Mark as brainliest ;D

Answer:

c

Step-by-step explanation:

Earth has a diameter of 7,926 miles. What is its diameter in kilometers? (1 mile = 1.6 kilometers)
A. 49,553 km
B. 120,586 km
C. 1,392,650 km
D. 12,682 km​

Answers

The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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How many solutions exist for the given equation?

3(x + 10) + 6 = 3(x + 12)

Explain your answer and I'll mark you Brainlyiest.

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

3(x + 10) + 6 = 3(x + 12)3x + 30 + 6 = 3x + 363x - 3x = 36 - 360 = 0

This equation has infinitely many solutions as for any value of x we have same result

Answer:

Infinitely many

Step-by-step explanation:

How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)Explain your answer and I'll

I need help please. I’m struggling.

I need help please. Im struggling.

Answers

option 3

The mean is the same as the average.

I am fasting $32,000 into two accounts i paid 2% and 6% simple interest respectively how much was invested in each account if after one year the total interest was 1200 and

Answers

He invested $18,000 in first account and $14,000 in second account

What is percentage ?

The term "percentage" refers to a quantity or ratio that is stated as a fraction of 100. Although the acronyms "pct.," "pct." and occasionally "pc" are also used, the percent sign is most frequently used to signify it. A % is an irrational (pure) number that has no dimensions.

Given that he is fasting $32,000 into two accounts and paid 2% and 6% simple interest respectively ,after one year the total interest was 1200 .

x + y = 32,000

0.02x + 0.06y = 1200

0.02x + 0.06(32,000 - x) = 1200

0.02x + 1920 - 0.06x = 1200

0 = 1200 + 0.06x - 1920 - 0.02x

0 = 0.04x - 720

720 = 0.04x

\(\frac{720}{0.04}\) = x

18,000 = x

y = 32000 - 18000

y= 14,000

He invested $18,000 in first account and $14,000 in second account.

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I need help!! PLEASE I DONT WANNA FAIL THIS SEMESTER

I need help!! PLEASE I DONT WANNA FAIL THIS SEMESTER

Answers

Answer:

I AM GUESSING ITS GONNA BE 39.6

Step-by-step explanation:because 40% of 99 is 39.6

You enjoy dinner at Red Lobster, and your bill comes to $ 42.31 . You wish to leave a 15 % tip. Please find, to the nearest cent, the amount of your tip. $ 6.34 None of these $

Answers

Given that the dinner bill comes to $42.31 and you wish to leave a 15% tip, to the nearest cent, the amount of your tip is calculated as follows:

Tip amount = 15% × $42.31 = 0.15 × $42.31 = $6.3465 ≈ $6.35

Therefore, the amount of your tip to the nearest cent is $6.35, which is the third option.

Hence the answer is $6.35.

You enjoy dinner at Red Lobster, and your bill comes to $ 42.31.

Find the amount of tip:

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don’t really get this pls help

dont really get this pls help

Answers

Answer:

B

Step-by-step explanation:

It should be B

Kevin thought the pizza he ordered
would feed 24 people. It only ended up
feeding 19 people. What was his percent error?
percent error?

Answers

Answer:

20.8333%

Step-by-step explanation:

It means There was shortage of food, so it ended up with 19 people.

Original Value = 24 people New Value = 19 people

There is a Percentage decrease

%decrease = Original Value - New Value / Original Value × 100%

%decrease = 5/24 × 100%

%decrease = 20.8333 %

So, more 20.8333% would be needed so that 24 people can get the food  .

Answer: 26

Step-by-step explanation:

(24-19)/19 * 100 = 26.3157894736842

But it said to round to the nearest percent I believe since I got the same question, so 31 isn't above 50 so 26 is just 26 since 31 not above 50, so the answer is just 26

Hope this helps, sorry if im wrong but for me it was right!

Calculate power of heater to warm up five thousand cubic meter
per hours of air + 5 deg C and
relative humidity 40% to temperature + 30 deg C.

Answers

We need to calculate the power of the heater to warm up the given air to a specified temperature and relative humidity.

The process of heating air involves three essential steps. These are preheating, humidifying, and heating.

Firstly, we need to preheat the air to increase the temperature of the air. After that, the air is humidified to the desired relative humidity, and finally, the air is heated to the required temperature.
The air we want to warm up has the following parameters:
Volume flow rate of air = 5000 cubic meters per hour
Initial temperature of air = 5 deg C
Relative humidity = 40%
Final temperature of air = 30 deg C
Step 1: Preheating the air
The specific heat of air is approximately 1 kJ/kgK. To preheat the air, we need to calculate the amount of heat required to raise the temperature of the air from 5 deg C to 30 deg C.
The density of air is approximately 1.2 kg/cubic meter, and hence, the mass of air flowing per hour is given by:
Mass of air = Volume flow rate × Density = 5000 × 1.2 = 6000 kg/hour
The amount of heat required to raise the temperature of the air from 5 deg C to 30 deg C is given by:
Q = Mass × Specific heat × Temperature rise
 = 6000 × 1 × (30 - 5)
 = 150000 kJ/hour
Step 2: Humidifying the air
The air has a relative humidity of 40%, and we want to increase it to the desired relative humidity. We can use a steam humidifier to add water vapor to the air to increase its relative humidity. The amount of heat required to humidify the air is given by:
Q = Mass of water vapor × Latent heat of vaporization
The mass of water vapor required to increase the relative humidity from 40% to the desired value can be calculated using psychrometric charts. For the given parameters, the mass of water vapor required is approximately 0.012 kg/kg of dry air.
The latent heat of vaporization of water is approximately 2260 kJ/kg. Hence, the amount of heat required to humidify the air is given by:
Q = 6000 × 0.012 × 2260 = 162720 kJ/hour
Step 3: Heating the air

Finally, we need to heat the air from 5 deg C and relative humidity of 40% to 30 deg C. The amount of heat required to raise the temperature of the air is given by:
Q = Mass × Specific heat × Temperature rise
 = 6000 × 1 × (30 - 5)
 = 150000 kJ/hour
The total heat required to warm up the air is the sum of the heat required in the three steps, i.e.,
Total Q = 150000 + 162720 + 150000
         = 462720 kJ/hour
The power of the heater required to supply this amount of heat can be calculated using the following formula:
Power = Total Q / (Efficiency × Time)
     = 462720 / (0.8 × 3600)
     ≈ 160.77 kW

The power of the heater required to warm up five thousand cubic meter per hours of air + 5 deg C and relative humidity 40% to temperature + 30 deg C is approximately 160.77 kW.

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The population of ages at inauguration of all U.S. Presidents who had professions in the military is​ 62, 46,​ 68, 64, 57. Why does it not make sense to construct a histogram for this data​ set? Choose the correct answer below.
A. There must be an even number of data values in the data set to create a histogram.
B. This data set would yield a histogram that is not​ bell-shaped.
C. Adequate class boundaries for a histogram cannot be found with this data set.
D. With a data set that is so​ small, the true nature of the distribution cannot be seen with a histogram.

Answers

Answer:

The correct option is D.

Step-by-step explanation:

A histogram is a bar chart wherein the horizontal scale signifies class interval (or classes of data values) and the vertical scale signifies frequencies or percentages. The altitudes of the columns relate to the frequency values, and the columns are drawn together without breaks.

The histogram has the following properties:

• Shows the shape of distribution

• Shows the location of center

• Shows the spread of data

• Helps in identifying outliers

Since the sample collected is so small, the true nature of the distribution cannot be seen with a histogram.

Thus, the correct option is D.

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74 degrees with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

Answers

HOPE IT HELP (≧▽≦)(≧▽≦)(≧▽≦)

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric

Answer:

Step-by-step explanation:

the answer is wrong its  34.3

I will mark you brainliest if you answer this

I will mark you brainliest if you answer this

Answers

Step-by-step explanation:

For the denominator to become 100, we multiply 2 to the numerator and denominator:

23/50 = (23 * 2)/(50 * 2) = 46/100 = 46%.

Answer:

\( \frac{23}{50} = \frac{23 \times 2}{50 \times 2} = \frac{46}{100} = 46\%\)

46% is the right answer.

help me out with a and b
i Will give brainliest and follow you back if you answer first.​

help me out with a and bi Will give brainliest and follow you back if you answer first.

Answers

Answer:

Step-by-step explanation:

A = {2,8,10,14}

B= {6,8,20}

C={8,18,20,24}

A ∩ B --> intersection means elements that  are in both sets A & B

A ∩ B = {8}

A∩ C =  {8}

B ∩ C = {8 , 20}

A∩B ∩ C = {8}

First blue box = { 2,10, 14}

Second blue box = {18, 24}

First green box = { 8}

Second green box = { 20}

b) A ∩ B = {8}

n [ A ∩ B] = 1

Probability of the number to be a member of A∩B =  1 / 25

I don’t understand this

I dont understand this

Answers

Answer: a=x represents sinks

b=the amount of money he will spend overall on the sink and sealent

c= 100x represents 100 sinks

d=joe will have to charge 85 dollars per sink

Step-by-step explanation:

Is there anybody who can help me with this question?please

Is there anybody who can help me with this question?please

Answers

Answer:

the people would save 12 meters

Step-by-step explanation:

If it is a right triangle that has 45,45,90 angles, Than two side lengths would be the same, so there are two 30 meter side lengths. The path is 48 meters long, and the road would be 60 meters long (30+30), so you subtract 48 from 60, and get 12. You would save 12 meters

Compare 5/8 and 1/3 please hurry!

Answers

Answer:5/8

Step-by-step explanation:

Lowest common denominator is 24

15/24 > 8/24

5/8>1/3

please help with the question asked

please help with the question asked

Answers

Answer:

C, None of the above

Step-by-step explanation:

Step 1: Expand the brackets

-7 - 3(-4e-3)

-7 + 12e + 9

Step 2: Collect like terms

12e + 2

Because the answer is not a or b the answer is 'None of the Above'

Hey there! I'm happy to help!

Let's use the distributive property to undo the parentheses. We multiply the number next to the parentheses by each number inside of the parentheses.

-7+3(-4e-3)

-7-12e-9

We combine like terms.

-16-12e

This means that Answer B is incorrect. Answer A could still be correct though as it could have equal value to -16-12e.

-4(3e+4)

We use distributive property.

-12e-16

We see that these have the same value, so the correct answer is A.

Have a wonderful day! :D

The graph of a linear relation passes through the point (-3,-5) and has a slope of 3.
Determine an equation for this linear relation in slope intercept form.

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

Substituting into point-slope form and converting to slope-intercept form,

\(y+5=3(x+3) \\ \\ y+5=3x+9 \\ \\ \boxed{y=3x+4}\)


The cost of a class field trip is $15 per person, plus $50 for a bus ride. Which function can be used to find the total cost C(x) of a field trip for x students

Answers

15x50 try that hopefully it helps !

To win a carnival game, you have to shoot a stream of water into a clown's mouth. the clown face is painted on a rectangular piece of wood that measures 16 inches by 12 inches. the clown's mouth is a circle with a diameter of 3 inch. what is the probability that your water will hit the clown's mouth?

write the probability as a percentage, rounded to the nearest tenth.

Answers

The probability will be 0.037 or 3.7% when it is rounded to the nearest tenth.

To calculate the probability of hitting the clown's mouth, we need to compare the area of the clown's mouth to the total area of the rectangular wood piece.

The area of the clown's mouth can be found using the formula for the area of a circle: A = π * (r^2), where r is the radius. In this case, the diameter is given as 3 inches, so the radius is 1.5 inches.

Plugging the values into the formula, we get A = π * (1.5^2) = 7.065 square inches. The total area of the rectangular wood piece is 16 inches * 12 inches = 192 square inches.

Therefore, the probability of hitting the clown's mouth is 7.065 / 192 ≈ 0.0367, which rounds to 0.037 or 3.7% when expressed as a percentage rounded to the nearest tenth.

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there are 6 girls and 8 boys in Mr. Stevenson's class the ratio of girls to boys in the class can be expressed as the simplified ratio ?/4 what is the missing number ?

Answers

Answer: 3

Step-by-step explanation:

The missing number in the simplified ratio ?/4 is 3.

Here, we have to find the missing number in the simplified ratio ?/4, we need to determine the ratio of girls to boys in Mr. Stevenson's class.

Given that there are 6 girls and 8 boys in the class, the ratio of girls to boys can be expressed as:

Number of girls : Number of boys = 6 : 8

To simplify the ratio, we can divide both the number of girls and the number of boys by their greatest common divisor (GCD).

In this case, the GCD of 6 and 8 is 2.

Dividing both 6 and 8 by 2, we get:

Number of girls : Number of boys = 6/2 : 8/2 = 3 : 4

So, the simplified ratio of girls to boys is 3/4.

Therefore, the missing number in the simplified ratio ?/4 is 3.

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MODELING REAL LIFE The function D(t) = 75 -0.3r represents the number of gigabytes left after downloading a video game for t
minutes.
a. How many gigabytes are left to download after 90 minutes?
gigabytes
b. How long will it take to download the entire video game?
min or
hr
min

MODELING REAL LIFE The function D(t) = 75 -0.3r represents the number of gigabytes left after downloading

Answers

Answer:

  a) 48 gigabytes

  b) 250 minutes, or 4 hours 10 minutes

Step-by-step explanation:

For D(t) = 75 -0.3t modeling the number of remaining gigabytes to download after t minutes, you want to find D(90) and t such that D(t) = 0.

a) Remaining

  D(90) = 75 -0.3·90 = 48

After 90 minutes, 48 gigabytes are left to download.

b) Total time

The time required to complete the entire download is given by ...

  0 = 75 - 0.3t

  0 = 250 -t . . . . . divide by 0.3

  t = 250 . . . . . . add t

It will take 250 minutes, or 4 hours 10 minutes to download the entire game.

__

Additional comment

The attached calculator screen shows conversion to hours and minutes. Hours, minutes, seconds are computed "base-60" the same way that Degrees, minutes, seconds are computed "base-60". 250 minutes is converted to hours by dividing by 60 min/hour. We can use the →DMS function of the calculator to show decimal or fractional hours in hours : minutes : seconds. In this use of that function, degrees represents hours.

<95141404393>

MODELING REAL LIFE The function D(t) = 75 -0.3r represents the number of gigabytes left after downloading

For the points P and Q do the following.
(a) Find the distance d(P,Q).
(b) Find the coordinates of the midpoint M of the segment PQ.
P (3√2,5√3), Q(√2,-√3)

Answers

The solution is, the distance = √116.

What is distance?

The distance between two points is the length of the line joining the two points.

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

here, we have,

given that,

P (3√2,5√3), Q(√2,-√3)

so,  the distance d(P,Q).

by using the formula we get,

the distance = √108 + 8

                     = √116

Hence, The solution is, the distance = √116.

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Find the area of the chape giving… pls help me

Find the area of the chape giving pls help me

Answers

Answer:

Area = 8 sq cm

Step-by-step explanation:

This shape is a parallelogram. Its like a rectangle that got tipped over. Area is:

base × height.

We don't know the base that is on the bottom of the image as it is shown. But if you turn it sideways, the 4 can be the base and the 2 is the height.

Area = b × h

= 4 × 2

= 8

The area is 8 sq cm.

which expression would be easier to simplify if you use the associative property to change the grouping?


A: 0.85 + [0.15+(-1/3)]
B: 1+[3/4+(-1/4)]
C: [(-1/3) + +(-2/3)] + (-4/5)
D: (160 + 40) + 27

Answers

the answer is D because it’s more simple

Solve the following system by using substitute
x - 4y = 28
7y - 6x = - 15

Answers

Answer:

y = -9

x = -8

Step-by-step explanation:

x = 28 + 4y

7y - 6(28 + 4y) = -15

7y - 168 - 24y = - 15 ---> *distribute the -6, not positive 6*

-17y = 153

y = -9

x = 28 + 4(-9)

x = -8

HELP ME OUT PLS MY COMPUTER IS ABOUT 2 DIE IN 1 MIN!!!!!!!!!!!

Two sixth grade science classes are making salt water solutions. The first class (Class A) is using a ratio of three parts salt to five parts water. The other class (Class B) is using a ratio of two parts salt to four parts water. Make an equivalent ratio table for each class to represent its solution. Each table should show at least three equivalent ratios. Make sure to indicate which ratio table belongs to which class.

Answers

Answer:

1: 6:10,9:15,12:20 2: 4:8, 6:12, and 8:16

Step-by-step explanation: To make an equivalent ratio you multiply each number by the same number (ex: 2:4 2*2= 4 and 4*2=8 so 2:8)

Answer:

Step-by-step explanation:

               Salt-Water

Class A         3/5=y/x      y=3/5x

Class B         2/4=y/x     1/2=y/x      y=1/2 x

HELP ME OUT PLS MY COMPUTER IS ABOUT 2 DIE IN 1 MIN!!!!!!!!!!!Two sixth grade science classes are making

solve number 1 and don't forget to use chain rule​

Answers


To use the chain rule, we first identify the outer function and the inner function. We then take the derivative of the outer function, leaving the inner function untouched. Finally, we multiply the result by the derivative of the inner function.In summary, the chain rule is an important tool in calculus used to find the derivative of composite functions.

However, I can give an explanation of the chain rule. The chain rule is a rule in calculus used to find the derivative of a composite function. A composite function is a function that is made up of two or more functions, where the output of one function is the input of another.  To use the chain rule, we first identify the outer function and the inner function. We then take the derivative of the outer function, leaving the inner function untouched. Finally, we multiply the result by the derivative of the inner function. For example, let's say we have the function f(x) = sin(3x). The outer function is sin(x) and the inner function is 3x. Using the chain rule, we take the derivative of the outer function, which is cos(3x), and leave the inner function untouched, which is 3. We then multiply the two together to get the derivative of f(x), which is f'(x) = 3cos(3x).

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