A farmer has only goats and hens in his farm,on a particular day,he sold 12 animals (goats and hens) and the total number of their legs was 32. how many goats and how many hens did he sell that day?

Answers

Answer 1

The number of goats sold is 4 and hens sold is 8.

What is an Equation ?

An equation is a mathematical statement which equates two algebraic expression with an equal sign.

Let the total number of goats sold be g

Let the total number of hens sold is h

g + h = 12

The total no. of legs of a goats sold will be 4g

and the total number of legs of a hens sold will be 2h

and it is given that

4g +2h = 32

The system of equation formed is

g + h = 12

4g +2h = 32

Multiplying equation (1) by 2 and then (1) - (2)

-2g = -8

g = 4

Therefore the number of goats sold is 4 and hens sold is 8.

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Related Questions

Which is an exponential decay function

Answers

Answer:

should be either b or c

Step-by-step explanation:

ee ni mee ni my nee mo

An exponential decay function has the form y = ka^x where a is between 0 and 1

In the first answer a > 1 so it is an exponential growth function

In the second answer (4/5)^-x = (5/4)^x so again a growth function

In the third answer (8/7)^-x = (7/8)^x so this is an exponential decay function

I need the answer too this fasttt.

Answers

Answer:

I'm pretty sure its a since if the exponints negite they drop the the bottom and non of the others look right

Hope This Helps!!!

Answer:

1/r^7  + 1/s^12

Step-by-step explanation:

See attached image.

y = −x + 4
y = 3x + 3

Answers

y=3.75
x=0.25
I think

Point A is located at (−2, 2), and point M is located at (1, 0). If point M is the midpoint of segment AB, find the location of point B.

(−0.5, 1)
(4, −2)
(−5, 4)
(−1, 1)

Answers

Answer:

B. (4, -2)

Step-by-step explanation:

Please see attachment.

Hope this helps!

If not, I am sorry.

Which set of equations has 3, 1 as its solution

Answers

Answer:

D.) A and D

Step-by-step explanation:

To find which set of equations has the solution (3,1), you need to identify where on the graph this point lies. Remember, in a point, the first number listed (3) is the "x" value and the second number (1) is the "y" value.

First, look for x = 3. This is the number located on the x-axis (horizontal line).

From this spot, since y = 1, move up 1 unit.

At this point, two lines intersect. These lines are lines A and D.

A bag contains four red apples and six green apples. Alex takes out three apples from the bag at random, one after the other, without replacement. A) Draw a tree diagram to represent the possible outcomes. B) Determine the probability that Alex takes out three red apples. C) Determine the probability that Alex takes out one green apple and two red apples.

Answers

The probability that Alex takes out three red apples is 1/30.

The probability that Alex takes out one green apple and two red apples is 1/10.

What are the probabilities?

The probability that Alex takes out three red apples = (number of red apples / total number of apples) x (number of red apples - 1 / total number of apples - 1) x (number of red apples - 2 / total number of apples - 2)

4/10 x 3/9 x 2 /8 = 1 / 30

The probability that Alex takes out one green apple and two red apples = (number of green apples / total number of apples) x (number of red apples / total number of apples - 1) x (number of red apples - 1 / total number of apples - 2)

6/10 x 4/9 x 3/8 = 1 / 10

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Help I need this today before 12:50pm

Answers

1.

Answer:

<B ≅ <F

<C ≅ <G

<D ≅ <H

<A ≅ <E

Explanation:

Little tick marks are used to show that two sides are the same length (congruent).  You can use just one tick mark, two or three, or more -- just as long as you use the same number on sides that are equal.

You make the little rounded sweep in the angle and then use tick marks to show which angles are the same size (have the same measure -- are congruent).

2.

Answer: x = 8 and y = 19

Explanation:

Triangle MLN ≅Triangle SRT

Therefore, each angle and side measure of one triangle are equal to the corresponding angle and side of the other triangle.

<M ≅ <S

<S= 93 (Given)

<M=93

<N=63 (Given)

Line segment ML ≅ Line segment SR

Line segment ML = 43

Line segment SR = 3x + y

Now, we need to find the values of x and y.

43 = 3x + y

<M+<N+<L=180 (Interior angles measure of a triangle is always 180)

93+63+z=180

156+z=180

z= 24

24 is the measure of <R.

<R=3x

24=3x

x=8

Now if we plug in the 8, the value of x, into our equation above,

43=3x+y

43=3(8)+y

43=24+y

43-24=y

19=y

3.

Answer:

<K ≅ <M

<J ≅ <N

<Q ≅ <P

<L≅ <L

Explanation:

Because all four interior angles are congruent to each other, these two quadrilaterals are equal to each other. Additionally, the side measurements of one shape are equal to the corresponding measurements of the other shape.

4.

Answer: What must be true about these two triangles is that triangle ABC and triangle DEF are equilateral triangles.

Explanation: This means that the measurement of all sides is equal and the measurement of all angles is also equal.

answer help me me me me

Answers

Answer:

409

Step-by-step explanation:

296 = 200 + 90 + 6
The value of the 9 is 90 in 296.
1/10 of 90 is 9. The only number that has a 9 in the units digit is 409.

In the diagram shown, the area of the triangle is 44.3m². If b = 14.1m and the angle at C = 48°, work out x. Round to 1 DP. X C b​

Answers

If the height of the triangle will be 6.28 meters. Then the value of x will be 8.46 meters.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In the diagram shown, the area of the triangle is 44.3 m².

If b = 14.1 m and the angle at C = 48°.

Then the value of x will be

The height of the triangle will be

    A = 1/2 × B × H

44.3 = 1/2 × 14.1 × h

    h = 6.28 m

Then the value of x will be

sin 48° = 6.28 / x

x = 8.455 ≈ 8.46 m

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8. Scott drank 3.5 bottles of water yesterday. Each bottle contained 1.2 pints of water. What was the number of pints of water Scott drank yesterday? Ascend Learning 8. Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water . What was the number of pints of water Scott drank yesterday ? Ascend Learning​

Answers

Answer:

4.2 pints

Step-by-step explanation:

3.5 × 1.2 = 4.2

Answer: 4.2 pints

If the unit rate is 30 miles per hour, then how much miles is traveled in 9 hours?

Answers

270 because it’s 30 miles per each HOUR and there’s 9 so do 30 times 9!

Norman plants a garden each
year. This year, his garden
produced 40% fewer tomatoes
than it did last year. If Norman’s
garden produced 30 tomatoes
this year, how many tomatoes
did his garden produce last year?

Answers

Answer:

50

Step-by-step explanation:

if last year 100% of the tomatoes were produced and this year 40% less were produced then that would mean 60% of tomatoes were produced this year.

if 60% = 30 then

100% = ?

100x30÷60

The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?
a.x⁷+5x⁶-30x³9x+45
b.x-5
c.x+5
d x⁷+5x⁶+6x⁴+30x³+9x+45​

Answers

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

[tex]x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5[/tex]

33
65
56
Is this tangent?

Answers

Answer:

Yes it is what is the question you are answering and it's 90 degree

Answer:

yes line is a tangent to the circle

Step-by-step explanation:

the angle between a tangent and the radius of a circle is 90°

If the triangle is right then the line touching the circle is a tangent.

using the converse of Pythagoras' identity

if the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right

longest side = 65 and 65² = 4225

56² + 33² = 3136 + 1089 = 4225

then the triangle is right and the line touching the circle is a tangent

The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?.

Answers

The box plot first represents the data set option first is correct the third quartile lies between 52 to 54.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have data set:

30, 35, 35, 45, 46, 46, 52, 55, 57

We can find below details from the data set:

Population size = 9

Minimum: 30

First quartile: 35

Median = 46

Third quartile = 53.5

Interquartile Range = 18.5

Maximum = 57

Outliers = none

Thus, the box plot first represents the data set option first is correct.

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The top of a tree makes angles s and t with points K and L on the ground, respectively, such that the angles are complementary. Point K is x meters and point L is y meters from the base of the tree.

1. In terms of x and y, find the height of the tree. Include your calculations.
2. If m∠t = 40° and y = 8 meters, calculate the height of the tree, rounded to two decimal places.

Answers

1. In terms of x and y, the height of the tree is [tex]h = y \times tan \ t^\circ[/tex] and[tex]h = x \times tan \ s^\circ[/tex]

2. The height of the tree is 6.71 meters

Trigonometry

From the question, we are to determine the height of the tree in terms of x and y

Using SOH CAH TOA, we can write that

[tex]tan \ t^\circ =\frac{h}{y}[/tex]

∴ [tex]h = y \times tan \ t^\circ[/tex]

Also,

[tex]tan \ s^\circ =\frac{h}{x}[/tex]

∴ [tex]h = x \times tan \ s^\circ[/tex]

2. If m∠t = 40° and y = 8 meters,

Then, the height of the tree

h = 8 × tan40°

h = 6.71 meters

Hence, the height of the tree is 6.71 meters

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Please help thank you

Answers

Answer:

Line A: 4

Line B: -2

Step-by-step explanation:

Line A

Pick any two points from the graph such as (2, -1) and (3, 3)

Use the gradient formula to calculate the gradient:

Change in y/change in x

-1 -3/2-3 = -4/-1 = 4

The gradient of line A is 4

Line B

(1, -1) and (0, 1)

-1 - 1/1 - 0 = -2/1 = -2

The gradient of line B is -2

Answer:

Line A is 4.

Line B is -2.

Step-by-step explanation:

See attached image

what choices are solutions to equation below x^-7x=-24/4
check all that apply
a. x=2
b. x=6
c. x=1
d. x=12

Answers

-24/4=-6
x^-7x+6=0
(x-6)(x-1)=0
x=6 or x=1

PLEASE HELP!! WILL GIVE BRAINLYEST AWARD TO 1st RIGHT!!

Answers

Answer:

-11 < x < 7

(first option listed)

Step-by-step explanation:

we know that x² + 4x < 77

first, we should rewrite our expression in standard

x² + 4x - 77 < 0

factor {find two numbers that multiply to c (77) and add to b (4)  }

(x - 7) (x + 11) < 0

set both roots to 0:

x - 7 < 0

  + 7  + 7

x < 7

x + 11 < 0

x > -11

so, x will be < 7 and > -11

which can be expressed as

-11 < x < 7

So, -11 < x < 7

Answer:

-11 < x < 7

Step-by-step explanation:

1st option;

Translate the following verbal statement into an algebraic equation and then solve:
Use x for your variable.
The difference of four times a number and seven is ten times the number.

Answers

If the statement is "The difference of four times a number and seven is ten times the number." then an algebraic equation is 4x-7= 10+x and the solution is -7/6.

Given the statement "The difference of four times a number and seven is ten times the number." We have to translate the statement in an algebraic equation and then solve it.

Let, the number be x.

This difference of four times a number and seven is 4x-7 and ten times the number is 10x

According to the question, the equation is,4x-7= 10x

4x-7=10x

6x=-7

x=-7/6

x=-7/6

Hence the value of the x is -7/6.

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4 questions! Write an equation in slope-intercept form for each of the following:
1) Slope -4 ; y-intercept 6
2) Slope 3 ; passes through (2,5)
3) (1,-1) , (-2,0)
4) (0,0) (4 - 3 1/2)
These are practice questions! ASAP!

Answers

1) y= -4x+c

2) y= 3x+c replace x and y to find c , 5=3(2)+c
C= -1
Y=3x-1

3) find slope first m=y2-y1/x2-x1 = 0-(-1)/-2-1 = 1/-3 and now you have y= -1/3x+c to find c just replace any of the given points , 0= -1/3(-2)+c
C= -2/3 and so y= -1/3x-2/3

4) DO THE SAME STEP AS NUMBER 3 and enjoy!

HELP ME PLEASE!!!!! FIND Y!

Answers

Answer:

y = 139

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

110° is an exterior angle of the triangle , then

3x + 2x - 5 = 110

5x - 5 = 110 ( add 5 to both sides )

5x = 115 ( divide both sides by 5 )

x = 23

then

2x - 5 = 2(23) - 5 = 46 - 5 = 41

y and 2x - 5 are a linear pair and sum to 180° , so

y = 180 - 41 = 139

Answer:

I got 139

Someone correct me if I'm wrong.

Step-by-step explanation:

(2x-5) + 3x + 70 = 180

Collect liketerms. Take away 70 from both sides and add 5.

5x=115

x=23

2(23) -5 = 41

180-41 = 139

y = 139

whats the y-inter of the line? interpet the y-inter in the context of the problem

Answers

Answer:

How do you interpret the y-intercept in the context of the problem?

The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.

Step-by-step explanation:

Population 422 increasing by 10 people per year. Write an equation to determine the population (y) after any number of years (x).

Answers

Answer:

y = 10x + 422

Step-by-step explanation:

80 pupils in a sports centre are surveyed. the pupils can only use the swimming pool and the gym. 32 pupils use the swimming pool. 43 pupils use the gym. 19 pupils use neither the swimming pool nor the gym. find the probability to select a pupil that uses the swimming pool but not the gym.

Answers

[tex]\frac{18}{80}[/tex] is the probability of pupil that uses the swimming pool but not the gym.

It is given that:

Total students are 80

32 pupils use the swimming pool

43 pupils use the gym

19 pupils use neither the swimming pool nor the gym

To know the pupils who use both add 32+43 = 75

75-61= 14 pupils use both

32-14 = 18 pupils use only the swimming pool

43-18= 29 pupils use only the gym

Hence, [tex]\frac{18}{80}[/tex] is the probability of pupil that uses the swimming pool but not the gym.

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Tom sees an enormous thundercloud approaching
from the west. He sees a lightning flash at the top
of the cloud and hears thunder 15 seconds later. His
angle of sight to the top of the cloud is 65°. How
high is the top of the thundercloud off the ground?
Sound takes 5 seconds to travel 1 mile.

Answers

Using the slope concept, it is found that the thundercloud is 6.43 miles above the ground.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

The angle is of 65º.The vertical distance is the height h.The horizontal distance is of 3 miles, as the sound takes 5 seconds to travel 1 mile, and it took 15 seconds.

Hence:

tan(65º) = h/3.

h = 3 x tan(65º)

h = 6.43 miles.

The thundercloud is 6.43 miles above the ground.

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Determine the period.

Answers

Determine the period

Find the area of a circle with radius,
r
= 7.15m.
Give your answer rounded to 2 DP.

Answers

[tex] \boxed{\Large {\mathcal {{{\color{orange}{Area \: of \: circle \: = \: πr²}}}}}}[/tex]

r = 7.15m

[tex]\large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large πr²\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{7} \: \times\:{7.15}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{7} \: \times\:51.1225 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{ \cancel7} \: \times\: \cancel{51.1225} \: \: ^{ \red{7.303} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \:Area \: of \: circle }\:\large\blue\implies \tt \large {22} \: \times\:7.303 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \: 160.666 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Hence , the area of circle is 160.66

Given :-

Radius of circle = 7.15m

To Find :-

Area of circle

Solution :-

Area of Circle = πr²

putting the value of π and r

Area = 3.14×(7.15)² m²

= 160.52465 , which rounded off to 2DP would be 160.52

Question 11 of 17
What are the coordinates of the point that is of the way from A to B?

Answers

Step-by-step explanation:

b l think so

A I think so Or I don’t really Thank it’s either because nine equals 7+

You buy 2 shirts and 1 pair of pants for $34. Your friend buys 3 shirts and 3 pairs of pants for $69. What is the price of 1 shirt and 1 pair of pants

Answers

You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?

First let’s define a shirt as X and pants as Y!

In the first scenario, the equation will be 3X + Y =$32

In the second scenario, the equation will be 2X + 3Y = $40  

Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!

3X + Y= $32—> subtract 3X on both sides of the equation  

-3X.        - 3X

Net result: Y= 32- 3X

Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable  

2X + 3(32-3X) = $40

2X + 96 - 9X = $40 —> simplify the equation  

-7X + 96 = $40 —> substrate 96 from both sides  

-7X = -56 —> divide both sides by -7  

X= 8  

Now reinsert 8= X into 3X + Y = $32

3(8) + Y = $32

24+ Y = $32 —> substract 24 from both sides

y = 8

ANSWER: X= 8, Y= 8

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Draw a circuit diagram connected in a reverse bias showing a p-n material and a battery CAn exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of thefunctions over the interval 0x1?-1-12O The exponential grows at half the rate of the quadratic.O The exponential grows at the same rate as the quadratic.The exponential grows at twice the rate of the quadratic Find the slope of the line that passes through the points (4, 4) and (5, 7). Given the function f(x) below, evaluate 3f(-2) + f(1).if z -33z-2z if -3-22-1if x > 07x-2f(x) = 3x - 2xpls help In reference to the table, which of the following best explains the outcome of the 2016 Presidential Election? Select one:a.Clinton won the popular vote, but Trump won the electoral vote and thus won the presidencyb.Third-party candidates played a significant role in determining the outcomec.Clinton won both the popular vote and the electoral vote and thus won the presidencyd.Trump won both the popular vote and the electoral vote and thus the presidency What is the difference between a status bar, title bar, and tabs? Natural gas (CH4) has a molar mass of 16.0 g/mole. You started out the day with a tank containing 200.0 g of natural gas. At the end of the day, your tank contains 30.0 g of natural gas. How many moles of gas did you use over time, the members of an organization have developed ______ as a result of coping with the organizations challenges and coordinating resolutions that work for them. Involves manipulating information mentally by forming concepts, solving problems, making decisions, and reflecting in a critical or creative manner. What is the completely factored form of this polynomial? 2x5 + 12x3 54x How did President Kennedy structure this excerpt? The physical objects that people create and use form a groupsa.nonmaterial culture.c.language.b.material culture.d.values. in romeo and juliet how does their city influence who they are 1. Ms. L's symptoms include shortness of breath, a chronic cough productive of thick mucus,and a "chest cold" of 2 months' duration. She was advised to quit smoking, a major cause oflung irritation. These symptoms were caused in part by the obstruction of groups of alveoliby mucous plugs. Ms. L was told that the mucus is not moving normally out of her airwaysbecause the toxins in cigarette smoke paralyze small cell extensions that beat to create an up-ward current. These extensions are called Cost of 6 kg of rice is 540 what is the cost of 13 kg of rice. Find the gradient of the line shown. The volume of a tree stump can be modeled by considering it as a right cylinder. Jin measures its radius as 11 in and its volume as 13685 cubic inches. Find the height of the stump in inches. Round your answer to the nearest tenth if necessary. PLEASE HELP ( look at ss to answer ) 567 810TIME REMAINING27:07Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the valueof the car after x years, which function represents the car's value?f(x)=20.000(085)* the music of john adams reflects the influence of