1) A farmer has sheep and cattle in the ratio 8:3.
a) How many sheep has the farmer if he has 180 cattle?

b) Find the ratio of the number of sheep to the total number of animals.

c) Find the ratio of the total number of animals to the number of cattle.

2)My fortune of $ 810 000 is to be divided in the ratio 4:3:2. How much does each person receive?
Good

Answers

Answer 1

Answer:

Q 1)

a) No of sheep = 480

b) 8 : 11

c) 11 : 3

Q 2)

Each person will receive: $360,000, $270,000 and $180,000

Step-by-step explanation:

Ratio of sheep to cattle = 8 : 3

Let the number of sheep be 8x

And number of cattle be 3x

a)

No of cattle = 180 (Given)

Therefore,

3x = 180

x = 180/3

x = 60

Therefore, 8x = 8*60 = 480

No of sheep = 480

b)

Total animals = 180 + 480 = 660

Ratio of sheep to the total number of animals

= 480 : 660

= 8 : 11

c)

Ratio of total animals to the number of cattle

= 660 : 180

= 11 : 3

Q 2) Let each person will receive 4x, 3x and 2x dollars.

Therefore,

4x + 3x + 2x = 810,000

9x = 810000

x = 810000/9

x = 90,000

Therefore,

4x = 4*90,000 = $360,000

3x = 3*90,000 = $270,000

2x = 2*90,000 = $180,000

So, each person will receive $360,000, $270,000 and $180,000.


Related Questions

Find the exact value of sin A in simplest radical form.

Answers

Using the sine rule,

[tex] \frac{a}{sin(a)} = \frac{b}{sin(b)} = \frac{c}{sin(c)} [/tex]

Here we are going to use the values of A and C,

[tex] \frac{12}{sin(a)} = \frac{14}{sin(90)} \\ \frac{12}{sin(a)} = \frac{14}{1} \\ sin(a) = 12 \div 14 \\ sin(a) = 0.8571[/tex]

So sin(A) = 12/14 = 6/7 = 0.8571, but since the question says in its simplest radical form, I think the closest answer to it should be

[tex] \frac{ \sqrt{3} }{2} [/tex]

a cylinder has a diameter of 12 and height of 12. the volume of the cylinder is:

A. 1728π cubic units
B. 288π cubic units
C. 144π cubic units
D. 432π cubic units

Answers

D which means you add 12 plus 12

PLSSSSSSSSSSS ASAP!!!!! Find the area of the figure shown below.

Answers

Answer:

54 square ft

Step-by-step explanation:

Find missing sides:

8+6 = 14

9-6 = 3

Find area of full rectangle:

9×8 = 72

Find the area of the missing part of the full rectangle

3×6 = 18

Find the area of the actual shape:

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De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
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(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y

(c) Calcule P(Y = 0|X = 2)

(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes

Answers

Answer:

ok

Step-by-step explanation:

i phone you have a great day but I don't think it will be a good pic of your face is it a good day today and tomorrow to drink seculari sec to


4. Your best friend's birthday is tomorrow, and you would like to give her an ice cream cone
balloon. The spherical shaped ice cream on top of the cone has a radius of 6 inches. The cone
itself has a diameter of 12 inches and height of 24 inches. How many cubic inches of helium are
nded to fill the entire ice cream cone balloon? Use 3.14 for it.

Answers

Answer:

1808.64 IN^3

Step-by-step explanation:

Helium needed = volume of spherical shaped ice cream + volume of cone

Volume of a sphere = 4/3 x pi x r^3

4/3 x 3.14 x 6^3 = 904.32 ft^3

Volume of a cone 1/3 x (nr^2h)

n = 22/7

r = radius  = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

h = height

1/3 x 3.14 x 6^2 x 24 = 904.32

helium needed = 2 x 904.32 = 1808.64 in^3

The scatter chart below displays the residuals verses the dependent variable, x. Which of the following conclusions can be drawn based upon this scatter chart? a. The residuals are normally distributed. b. The model over predicts the value of the dependent variable for small values and large values of the independent variable. c. The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship. d. The residuals have a constant variance.

Answers

Answer: Hello the scatter plot related to your question is missing attached below is the scatter plot

answer :  The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship ( C )

Step-by-step explanation:

The conclusion that can be drawn based upon the scatter chart is that The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship

A scatter plot helps in observing the relationship within different numeric variables but the scatter plot attached fails in the showing the actual relationship

Find the length of side y.
y=_ft

Answers

Answer:

y= 18.582

⨝⨝⨝⨝⨝⨝⨝⨝⨝

Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
weight of 6 oz. and a standard deviation of 1 oz. From a batch of 2500 oranges, how
many would be expected to weight less than 4 oz., to the nearest whole number?

Answers

5 oz. Hope this helped!

Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried an 8.5 percent interest rate?

Answers

Answer:

the answer 57.8

85 x 8 x 8.5% = 57.8

Step-by-step explanation:

brainliest pls

Write in the equation for the slope intercept form and please no links or I will report you

Answers

Answer:

y = 3/2x + 8

Step-by-step explanation:

using points (-2,5) and (0,8),

we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!

My faces are not all
congruent.
I contain 12 edges.
I contain 6 faces.

Answers

Answer:

its a rectangle

Step-by-step explanation:

Find the perimeter of a rectangle with a base of 12 ft and a height of 5 ft.

Answers

Answer:

P=34ft

Step-by-step explanation:

Solution

P=2(l+w)=2·(12+5)=34ft

Please help!! Timed assignment

Arrange the figures in increasing order of their volumes. Use Pi =22/7

Answers

Answer:

see the list below

Step-by-step explanation:

did all the formulas for each and I believe the order is from (smallest to biggest)

1. The half sphere or hemisphere (3rd in the picture)

2.The pyramid

3.slanted cone

4.cone

5.slanted cylinder

6.and finally the cylinder

The X and Y coordinates (in feet) for station Shore are 2058.97 and 6980.06, respectively, and those for station Rock are 1408.03 and 6980.06, respectively. What are the azimuth, bearing, and length of the line connecting station Shore to station Rock

Answers

Answer:

Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are [tex]270^{\circ},90^{\circ}[/tex] and [tex]650.94[/tex] feet.

Given :

The shore station point [tex](X_1,Y_1)[/tex] in feet,

        [tex](X_1,Y_1)=(2058.97, 6980.06)[/tex]

The Rock station point [tex](X_2,Y_2)[/tex] in feet

       [tex](X_2,Y_2)=(1408.03,6980.06)[/tex]

From the figure

     [tex]x=2058.97-1408.03=650.94[/tex] feet

    [tex]y=6980.06-6980.06=0\\[/tex] feet

Length of the line [tex]L=\sqrt{x^2+y^2}[/tex]

                           [tex]\Rightarrow L=\sqrt{(650.94)^2+0}=650.94[/tex]

                            [tex]\Rightarrow L=650.94[/tex] feet

[tex]\because[/tex] [tex]\tan \theta=\frac{y}{x}=\frac{0}{x}=0[/tex]

[tex]\Rightarrow \theta=\tan^{-1}(0)=0[/tex]

Azimuth of line[tex]=270^{\circ}+\theta[/tex]

                       [tex]=270^{\circ}+0[/tex]

                      [tex]=270^{\circ}[/tex]

[tex]\therefore[/tex] Bearing [tex]=360^{\circ}-\text{Azimuth}[/tex]

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3x + 5y = 7;( -1 , 2) write an eqautian thats perpidicaluar to the given line that passes through the given point

Answers

Answer:

5x -3y + 11 = 0 .

Step-by-step explanation:

Firstly let's find the slope of the line by converting the equation into slope intercept form as ,

=> 3x +5y = 7

=> 5y = 7 - 3x

=> y = (7-3x)/5

=> y = -3/5x + 7/5

On comparing this equation to the slope intercept form y = mx + c ,

=> m = -⅗

Now the slope of the line perpendicular to this line will be , say m'

=> m' =- 1/m

=> m' = -1/-⅗

=> m = 5/3

Now the line passes through (-1,2 ) . so on using point slope form , we get ,

=> ( x - x1) m = ( y - y1)

=> ( x - (-1)) × 5/3 = y - 2

=> ( x +1)×5 = 3( y -2)

=> 5x + 5 = 3y -6

=> 5x - 3y +5 +6=0

=> 5x -3y +11 = 0

Hence the equation of line perpendicular to the given line is 5x -3y + 11 = 0 .

write the equation for a parabola with a focus at (-3,-5) and a directrix at x=-7

x=​

Answers

Answer:

hope this helps

Step-by-step explanation:

equation for a parabola is:

What is parabola?

The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.

Given: focus= (3,-5), directrix at x =-7.

To find equation of parabola we will use distance formula,

√(x+7)²=√(x+3)² + (y+5)²

(x+7)²=(x+3)² + (y+5)²

x²+14x+49= x²+9+6x + (y+5)²

8x + 40 = (y+5)²

x= (y+5)²/8 -5

Hence, the equation of parabola is x= (y+5)²/8 -5

Learn more about equation of parabola here:

https://brainly.com/question/4025891

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What is the median of this list of grades: 78,55,98,86,92,70,60 ?

Answers

Answer:

the median of this list is 78

5% equals what fraction, in lowest terms?

Answers

Answer:

1/20

Step-by-step explanation:

According to G0ogle 5 percent equals 1/20 in lowest terms.

Answer:

5% equals 5/100 which is 1/20 in lowest terms.

Step-by-step explanation:

5% is basically equivalent to 5/100. 5/100 in lowest terms is 1/20 since you divide the numerator and denominator by 5.

I hope this helps, have a nice day.


This graph shows the altitude of an airplane over time. Which story matches the graph?
A.)The aircraft rose quickly into the air at takeoff, and then it continued at a constant altitude.
B.)The aircraft rose steadily over the entire flight.
C.)The aircraft rose quickly to its maximum height, and then it immediately began going back down toward the grou
D.)The aircraft rose quickly into the air at takeoff, and then it rose slowly for the rest of the flight.
SHOW HINT

Answers

Answer:

A.) The aircraft rose quickly into the air at takeoff, and then continued at a constant altitude.:)

Answer:

Omg, thank u so much I am on this question rn on Edulatic and I have 100 Q's and I'm only on Q 45, This Question rly helped me a lot bc it came with the answer. God Bless you!!

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Answers

Answer:

The graph has a domain of {x|0 < x < infinite} and approaches 0 as x decreases

The graph has a domain of {y| -infinite < y < infinite} and decreases as x approaches 0.

Step-by-step explanation:

I was confused at first because I was like "There is 2 answers" and I reread the question again and found my mistake.

And sorry for the wait because "I am in class"

HELP ASAP WILL GIVE MOST BRANILIST

Answers

The line fills three boxes before hitting a corner so I believe it is 1/3
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Identify a second of transformations that maps triangle ABC onto triangle A"B"C in the image below.

Answers

Answer: The answer is B because the triangle rotated a 90 degrees counterclockwise then got a reduction.

Step-by-step explanation:

Simran has a bag containing white and yellow marbles. Simran randomly selects one marble from the bag,

records the result, and returns the marble to the bag. The results of the first 65 selections are shown below.

A white marble was selected 41 times.

A yellow marble was selected 24 times.

Based on these results, what is the probability that the next marble Simran selects, rounded to the nearest

Answers

Answer:

d. 63%

Step-by-step explanation:

percent, will be white?

A41% b50% c59% d63%

The probability of white = P (w) = 41/65= 0.63

The  probability of yellow = P (y)= 24/65= 0.369=0.37

The probability of choosing white is 0.63 . When rounded to  nearest percent gives

0.63*100/100

=0.63*100 percent

= 63 percent

= 63%

the probability of getting   the next marble white is the same as the probability of getting a white.

If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?

Answers

Answer:

I think it depends how far bill wants to hike..

Step-by-step explanation:

Took him 0.625 hours
OR
37 minutes and 30 seconds

Can someone help me with this ?

Answers

use pythagora's theorem to solve it
c^2=a^2+b^2
x^2=(3/4)^2+1^2
x^2=25/16
x= 5/4 = 1 1/4 inch
therefore it is B
it is b
step by step

The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?

NO LINKS PLSSSS

Answers

Answer:

the weight of the bar is 130 pounds

Answer: realsies

Step-by-step explanation: w manz

Can someone please help me I will mark u brilliant for both

Answers

For the first question, y = 1/2
For the second question, x = 4

Answer:

1. 1/2

2. 4

Step-by-step explanation:

2. 14x = 56

56 / 14

x = 4

I need this please help me

Answers

Answer:

A. Right 6, Down 5

Step-by-step explanation:

I don't know how to explain this

WHATS THE ANSWER? MULTIPLE CHOICE 50 PTS

Answers

Answer:

D

Step-by-step explanation:

Seventeen less than p infers that the number is p minus 17. This number is then divided by 8, which requires us to put parenthesis in order to properly divide the number after doing p - 17

Please give brainliest thank you

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

The quotient when 17 less than p is divided by 8.

Well, let's first take 17 less than p. That'll be :-

[tex] \sf \: p - 17[/tex]

Note :- 'p' comes first as the question has the words - less than p.

Now, we have the remaining -> 'is divided by 8'.

The equation will become :-

[tex] \sf \:( p - 17) \div 8[/tex]

Note :- We have put the bracket because they have asked the quotient. To form a quotient you need 2 numbers - a divisor & a dividend. Hence, 2 numbers -> (p - 17) & 8.

So, Option D [tex]\boxed{\underline{\bf \: (p-17)÷8}}[/tex] is the correct answer.

________

Hope it helps.

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Mira uses the mapping rule to find the coordinate of a point that had been rotated 90° clockwise about the origin. Examine Mira’s solution to determine which step has an error.


M(–5, –6) is rotated 90° clockwise.

Step 1. Use the rule (x, y)g(y, –x).

Step 2. Switch x and y coordinates:
(–6, –5)

Step 3. Multiply the new x-coordinate by –1:
((–1)–6, –5)

Step 4. Simplify:
(6, –5)


Mira made an error in Step

Answers

Answer:

3

Step-by-step explanation:

Answer: You multiply the old x coordinate by negative 1, so the error is at step 3.

It should give (-6, (-1)-5).

Step-by-step explanation:

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