AMMA
Richard owned n cows
Ellis had exactly 4 times as many cows as Richard,
Richard buys 13 extra cows.
Ellis sells 9 of his cows
Ellis still has more cows than Richard
Form an inequality, in terms of n
Solve the inequality to find the least value of n
You must show all your working

Answers

Answer 1

Answer:

n ≥ 8

Step-by-step explanation:

Let R and E stand for the number of cows owned by Richard and Ellis, respectively.

We are told that:

R = n

E = 4n

Then:

R = n+13   [Bought 13 cows]

and

E = 4n-9  [Sold 9 cows]

Still:

E > R  [Ellis still has more cows]

Therefore:

4n-9 > n+13

3n  > 22

n > 7 1/3

Since no rancher wants 1/3 of a cow, we need to round either up or down to a whole number.  The least value of n is therefore 8 cows or higher.  Since 8 is a valid number, change the > inequality to ≥.

n ≥ 8


Related Questions

Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene.​

Answers

9514 1404 393

Answer:

  (d)  Right, scalene

Step-by-step explanation:

The little square in the upper left corner tells you that is a right angle. Any triangle with a right angle is a right triangle. This one is scalene, because the sides are all different lengths.

__

Additional comment

An obtuse triangle cannot be equilateral, and vice versa.

An equilateral triangle has all sides the same length, and all angles the same measure: 60°. It is an acute triangle.

tìm tất cả giá trị thực của tham số m để đồ thị hàm số y=x³-mx²+4 cắt trục hoành tại ba điểm phân biệt

Answers

Answer:

실례합니다?

Step-by-step explanation:

질문이 뭔가요??? 이해가 안가요? 어느 언어?

three consecutive even numbers add up to 105 determine the product of the three numbers​

Answers

Answer:

34 + 35 + 36 = 105

Step-by-step explanation:

repost , can someone help asap!

Answers

Answer:

y = -3/4x + 3

Step-by-step explanation:

find the missing side.​

Answers

Answer:

I htink x ≈ 8

Step-by-step explanation:

Answer:

X is approximately 7.8.

Step-by-step explanation:

You can use SOH-CAH-TOA to help figure out what function (sin, cos, tan) you need to use in order to figure out the missing side.

For this one, we can see the angle is pointing to the opposite side (x length), and we have been given the hypotenuse (18). So we want to use the sin function.

[tex]sin\ (angle)=\frac{opposite}{hypotenouse}[/tex]

[tex]sin (26)=\frac{x}{18}[/tex]

[tex]0.438=\frac{x}{18}[/tex]

[tex]7.890... = x[/tex]

Using Pythagorean theorm, you can figure out the other side if need be :)

For reference:

[tex]sin (angle)=\frac{opposite}{hypotenuse}[/tex]

[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]

[tex]tan(angle)=\frac{opposite}{adjacent}[/tex]

What is the equation of the line that passes through (-12,6) and (-6,1)?

Answers

To find the equation, find the slope. To find the slope find the change in y/ change in x.

(1-6)/(-6+12)= -5/6

Then use the equation, y=mx+b, to solve for y int. First, substitute the slope in for m, and then choose a coordinate to substitute for y and x.

1=-5/6(-6)+b
1=5+b
-4=b

y=-5/6x-4 is the equation of the line.


I neeeeddddd helppppp !!!!! It’s urgenttttttt

Answers

х=10

I'm so sorry, i don't know how it's called (because English isn't my native language) but there are angles that have the same value

maybe u'll tell me..

A water butt contains 512.6
liters of water when full. It is
80% full. Daniel is using a
small bucket to empty the
butt. The bucket holds
525ml of water. How many
small buckets can be
completely filled by the water in the butt?

Answers

Answer:

u can solve ur self but let me help you

Step-by-step explanation:

simply:subtract 525ml from 512.6 liters

there are 160 girls and 240 boys in a school
i. find the percent of girls in the school
ii. find the percent of boys in the school.​

Answers

Answer:

girls = 40%

boys = 60%

Step-by-step explanation:

Girls = 160

boys = 240

total students = 160+240

= 400

so,

percent of girls = (160/400)×100%

= (2/5)×100%

= 2×20%

= 40%

so,

percent of boys = 100% - 40%

= 60%

Find the exact value of the indicated trigonometric function for the acute angle a:
Given: sin a=5/13, Find: cos a and tan a

Answers

Answer:

cos a = 12/13

tan a = 5/12

You use these properties to solve the question,

sin²a+cos²a=1

tana=sina/cosa

more geometry help :)

Answers

Answer:

Step-by-step explanation:

Multiply both the co-ordinates of each vertex by the scale factor and then simplify it.

A(-3 , 2)    A'(-3*8 , 2 * 8) = A' (-24 , 16)

B(2,1)         B'(2*8 , 1*8)  = B'(16,8)

C(-1,-3)       C'(-1*8,-3*8)= C'(-8,-24)

Answer:

see explanation

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply each ot the coordinates by the scale factor 8

A (- 3, 2 ) → A' (8(- 3), 8(2) ) → A' (- 24, 16 )

B (2, 1 ) → B' (8(2), 8(1) ) → B' (16, 8 )

C (- 1, - 3 ) → C; (8(- 1), 8(- 3) ) → C' (- 8, - 24 )

Can someone please explain how to do this? You don't have to answer the questions but If you can give me an explanation/formula to solve. it would help me a lot thank you. marking brainliest when I can.

Answers

Answer:

a. The 1's are heavier than the x's. There isn't a whole number on top of the x's.

b. The equation would be 2x<9 because the 9 is greater(heavier) than the 2x. To continue to solve you would divide 2 by both sides. That would turn into x<9/2.

Step-by-step explanation:

Select all the points that are on the graph of the line y = −1/4 x + 3.
a. (0, -1/4)
b. (0, 3)
c. (1, 11/4)
d. (1, 3)
e. (1, 13/4)
f. (3, 0)

Answers

The points on the graph ( b , c )

I hope I helped you ^_^

I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8

Answers

Answer:

7 cannot be achieved

-1 + 6 = 5

-3 + 4 = 1

-5 + 2 = -3

as you can see, no combinations can form seven

Find the area of the shaded regions:

Answers

Answer:

18[tex]\pi[/tex]

[tex]\frac{80}{360} * 81 \pi[/tex]

Step-by-step explanation:

a, 0,03m3=............ dm3=...........cm3

Answers

Answer:

0.03 m³ = 30 dm³ = 30000 cm³

O.03m3=30dm
0.03m3=30000000cm3

Tìm nghiệm của đa thức sau:2x mũ 2-5x-3

Answers

bạn tham khảo cách này nha

What is the answer if 202^2 base3 - 112^2 base3?

Answers

Answer:

Hello,

answer is 204 in base 10 or 21120 in base 3

Step-by-step explanation:

[tex]((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_{10}\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_{10})^2=(400)_{10}\\\\((112)_3)^2=((14)_{10})^2=(196)_{10}\\\\(400-196)_{10}=(204)_{10}=(21120)_3[/tex]

Solve the system using multiplication for the linear combination method.
6x – 3y = 3
-2x + 6y = 14
What is the solution to the system?

Answers

6x-3y=3
-2x+6y=14.
First step is multiply the top equation by 2, so you have
12x-6y=6
-2x+6y=14
-6y and +6y cancel each other out, so if you simplify, you have
10x=20, which is then solved by dividing each side by 10, and getting x=2.

Now plug x=2 into one of the equations (I chose the first)
6(2)-3y=3
12-3y=3
-3y=-9, divide each side by -3 and get y=3.
so your point is (2,3)

Answer:

(2, 3)

Step-by-step explanation:

Find the value of x and found to the nearest degree help ASAP

Answers

Answer:

22

Step-by-step explanation:

sin(X) = perpendicular/base

sin(X) = 7/19

X=arcsin(7/19)=22

Select the correct answer from the drop-down menu.
Z1 = 4cis (pi/2) and Z2=3cis(3pi/2)
The product of Z1 and Z2 is

Answers

Answer:

z₁ × z₂ = 12·cis(2·π)

Step-by-step explanation:

z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)

We have;

z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))

z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))

According to De Moivre's Theorem,

z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))

∴ z₁ × z₂ = 12·cis(2·π)

what is percent of a number

Answers

Step-by-step explanation:

a fraction of a number out of 100%

Answer and step-by-step explanation:

Percent (%) means per 100

A percentage is a number or ratio expressed as a fraction of 100

Example 50% of 8 = 8*50/100 = 4

SEE QUESTION IN IMAGE

Answers

Answer:

1.54

Step-by-step explanation:

First, we can take into account that mean = sum / number of students. Therefore, we can find the sum of each group of students, as

1.67 = sum / 20

1.50 = sum / 16

1.40 = sum / 14

Multiplying each equation by the number of students in the group to isolate the sum, we get

1.67 * 20 = 33.4

1.50 * 16 = 24

1.40 * 14 = 19.6

We can sum these up to get the total sum of all three groups of students, resulting in

33.4 + 24 + 19.6 = 77

As mean = sum / number of students, we can say that

total mean = total sum / total number of students

total mean = 77 / (20+16+14)

= 77/50

= 1.54

SOMEONE HELP ME PLEASE

Answers

here's the answer to your question

your answer is 51.7%

Find the area of given figure: 6cm 2cm 3cm 1cm​

Answers

Answer:

12cm²

Step-by-step explanation:

separate it to two parts, rect and square

rect- 3cm×1cm =3cm²

square- 3cm×3cm =9cm²

then, 3cm²+9cm²=12cm²

The answer to the question is 12.

At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day

Answers

Complete question :

At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?

Answer:

33 children ticket

Step-by-step explanation:

Let :

Number of Child admission = x

Number of Adult admission = y

On Wednesday ;

y = 3x

9.80y + 6.30x = 1178.10

9.80(3x) + 6.30x = 1178.10

29.40x + 6.30x = 1178.10

35.70x = 1178.10

x = 1178.10 / 35.70

x = 33

Which of the following is the inverse of F(x) = -2x + 3?

Answers

Answer:

D

Step-by-step explanation:

y=-2x+3

y-3=-2x, x=(3-y)/2. f^(-1) (x) = (3-x)/2. The equation is (3/2)-x/2.

Answer:

c

Step-by-step explanation:

I honestly have no clue how to do trig, I need help.

Answers

Answer: x= 437.3 ft.

Step-by-step explanation:

Let the angle side at 29 be n

so

n+29 = 90

so, n = 61

now

sin 61= p/h

sin 61 = x/500

so, x = sin 61*500

so, x = 437.3

Can someone please help?

Answers

Answer:

1.

C. 6561 is the answer that the table represents

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 8, 9 ] , then

Continuing the table from x = 6 , multiplying values of y by 3

x     y

6   729

7  2187  

8  6561

9  19683

f(b) = f(9) = 19683

f(a) = f(8) = 6561

average rate of change = [tex]\frac{19683-6561}{9-8}[/tex] = [tex]\frac{13122}{1}[/tex] = 13122 → B

The cost of a pen is three times and Rs 4 more than the cost of a pencil. If three pencils and two pens cost Rs 71, find the cost of each item. ​

Answers

Answer:

1.

= Here,

cost of pen = 3+4 ( x ) = 7x

costs of two pen = 7x

cost of three pencils = 71 - 7x = 64x

cost of 1 pencil = 64/3

= 21.333334

c

Other Questions
the provision of online courses is subtantially beneficial to students why nepal is still poor in transport? HEEEEEEEEEEEEEEEEEEELP If you get it right, you are a critical thinker. You were in the garden, there are 34 people in the yard. You kill 30. How many people are in the garden? Your English-speaking friend is doing a school project on national legends and wants to know about a famous legend in your country. Write an email to your friend about this On January 1, year 1, Eber Co. leased equipment under a four-year capital lease. The present value of minimum lease payments is $348,680. The equipment had a five-year economic life and a $20,000 guaranteed residual value. The equipment reverted to the lessor at the end of the lease. What amount should Eber report as depreciation expense at December 31, year 1? yIn the diagram, AB = 10 and AC = 210. What is theperimeter of ABC?chA (8,4O 10 units4 3 2O 10+ 210 unitsO 20 unitsXO 20+ 2/10 units2 3 4 5B (5,-2)C (5,-2)3 The term for an urban or metropolitan area that is significantly warmer than its surrounding rural areas due to human activities is _________.a. urban sprawlb. urban heat island effectc. heat pollutiond. none of the above 5. why do you think Edwards begins his sermon with a vivid description of hell? 21. SCALE FACTOR A regular nonagon has an area of 90 square feet. A similarnonagon has an area of 25 square feet. What is the ratio of the perimeters ofthe first nonagon to the second? Can I please get help with these 2 questions about polygons I NEED HELP ASAP, I DON'T UNDERSTAND THIS PROBLEM!!!!! What is the function of catalysts? A car travels 630 miles in 14 hours. At this rate, how far will it travel in 42 hours? A 0.085 M solution of a weak acid has a pH of 2.68. Determine the Ka value for this acid. what is 6 : 45 in French Math problem for high school A company that manufactures and bottles apple juice uses a machine that automatically fills 32-ounce bottles. There is some variation, however, in the amount of liquid dispensed into the bottles. The amount dispensed has been observed to be approximately normally distributed with mean 32 ounces and standard deviation 1 ounce. Determine the proportion of bottles that will have more than 30 ounces dispensed into them. (Round your answer to four decimal places.) He isn't clever,?(he) Lucia wants to use a safe deposit box. What will this process MOST likely include? A. visiting a bank and paying a fee B. uploading documents to a computer C. getting someone to cosign for his box D. applying for a loan