In a herd of cattle, the ratio of the number
of bulls to cows is 1:6.
Find the number of bulls in terms of x.​

Answers

Answer 1

Final answer:

The number of bulls in a herd with a bull-to-cow ratio of 1:6 is one-seventh of the total number of animals in the herd, represented as x/7.

Explanation:

In the scenario where the ratio of the number of bulls to cows is 1:6, we can express the number of bulls in terms of x, where x represents the total number of animals in the herd.

Let's define the number of bulls as B and the number of cows as C. Given the ratio B:C = 1:6, for every 7 animals in the herd (1 bull + 6 cows), there is 1 bull.

To find the number of bulls in terms of x, we divide the total number of animals by the sum of the parts of the ratio (1+6=7). So, the formula to find the number of bulls (B) is:

B = x / 7

Therefore, if x is the total number of animals in the herd, the number of bulls is one-seventh of x.


Related Questions

1. Complete the inequality below to describe the
domain of the graph shown.
Domain
2. Complete the inequality below to describe the
range of the graph shown.
Range: <_y <5

Answers

Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would be

[tex] - 4 < x \leqslant 4[/tex]

The range is similar, it is the entire span that the graph goes up and down (on the y-axis). The graph starts at the bottom at y=-2, and ends at y=5. The bottom point (4,-2) is closed, so the graph includes that point, and the top point (-4,5) is open and doesn't include the point. Therefore, the range would be

[tex] - 2 \leqslant x < 5[/tex]

Answer:

1) -4 2) -2

Step-by-step explanation:

i got it right

15 / x equals 50 / 4​

Answers

Answer:

Step-by-step explanation:

Solve for x by cross multiplying.

Exact Form:

x=6/5

Decimal Form:

x=1.2

Mixed Number Form:

x=1 1/5

i hope its correct plz tell me if im wrong

Which situation can be represented by the expression -2 + (-1)−2+(−1)minus, 2, plus, left parenthesis, minus, 1, right parenthesis.
Choose 1 answer:

(Choice A)
A
A badger was in a den 222 feet below ground level. The badger dug a tunnel that went down 111 additional foot.

(Choice B)
B
A badger was in a den 222 feet below ground level. The badger climbed up 111 additional foot.

(Choice C)
C
A badger was on a hill 222 feet above ground level. The badger dug a tunnel that went down 111 foot.

Answers

Answer:

Its A

Step-by-step explanation:

Answer:

hola ITS A

Step-by-step explanation:

what does it take to get brailiest like no one marks it these days

Answers

Answer:

you really just have to tell them to and if they are nice they will

Step-by-step explanation:

Answer: A competent person with correct answers

what is the general solution to the differential equation dy/dx= cos(8x)/cos(4y) ?
A. sin =(4y) - sin(8x) = C
B. sin (4y) - 2 sin(8x) = C
C. 2 sin(4y) - sin(8x) = C
D. 2 tan(4y) - sin(8x) = C

Answers

Answer:

2sin4y - sin8x = K (C)

Step-by-step explanation:

Given the differential equation

dy/dx= cos(8x)/cos(4y)

This can be solved by using the variable separable method.

Step 1;

Separate the variables

Cos4ydy = cos 8xdx

step 2:

Integrate both sides of the equation

∫cos4y dy = ∫cos8x dx

sin4y/4 = sin8x/8

Step 3:

Add constant of integration to the side containing x variable

sin4y/4 = sin8x/8+ C

Taking sin8x to the other side we have:

sin4y/4-sin8x/8 = C

Multiplying through by 8:

2sin4y - sin8x = 8C

2sin4y - sin8x = K (where K = 8C )

To solve the given differential equation we have apply variable separation method.

The correct option is (c) 2 sin(4y) - sin(8x) = C.

Variable separation:

In mathematics, variable separation method used to calculate the partially and ordinary differential function in which we rewrite the equation so that two variable occurs on two side.

Given:

The given differential equation is as follows,

[tex]\dfrac{dy}{dx}=\dfrac{\cos(8x)}{\cos(4y)}[/tex]

How to calculate the Separate the variable?

Separate the variable.

[tex]\cos 4y \:dy =\cos 8x\:dx\\[/tex]

Integrate both side of the equation.

[tex]\int \cos4y dy = \int \cos8x dx\dfrac {1}{4}\sin4y = \dfrac {1}{8}\sin8x\\\dfrac {1}{4}\sin4y-\dfrac {1}{8}\sin8x=C\\2\sin4y - \sin8x = 8C[/tex]

Thus, the correct option is (c) 2 sin(4y) - sin(8x) = C.

Learn more about variable separation here:

https://brainly.com/question/18651211

The circumference of a circle measures 11.27π ft.What is the measure of the diameter of this Circle?

Answers

C. 11.27π feetDiameter= 11.27 feet.

What is answer 6x+7-5x=10

Answers

Answer:

i think the answer is going to be 3

Step-by-step explanation:

X = 3, this is the correct answer because first if you start with combining like terms you would combine the 6x and -5x which would result in X.

Second, your equation bring X+7=10 you then subtract 7 from both sides and the equation that results is X=3.

When graphed, which parabola opens downward?
y = –3x2
y = (x – 3)2
y = one-third x squared
y = x2 – 3

Answers

The parabola that opens downward when graphed is y = –3x^2, as the negative coefficient of the x^2 term determines the downward opening direction.

The student has asked which parabola opens downward when graphed. The general form of a parabola is y = ax2 + bx + c. The direction in which the parabola opens is determined by the coefficient a of the x2 term. If a is negative, the parabola opens downward, and if a is positive, the parabola opens upward. Looking at the provided equations, we can identify the equation with a negative a value:

y = –3x2 (The coefficient of the x2 term is -3, so this parabola opens downward.)y = (x – 3)2 (The coefficient here is positive after expanding, so this parabola opens upward.)y = one-third x squared (The coefficient is positive 1/3, so this parabola opens upward.)y = x2 – 3 (The coefficient is positive 1, so this parabola opens upward.)

Therefore, the equation of the parabola that opens downward when graphed is y = –3x2

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with multiplicity 27
O
f(x) = 2(x + 7)(x + 5)(x-2)
Rx) = 2(x - 7)(x - 5)(x + 2)
Rx) = (x + 7)(x + 5)(x + 5)(x - 2)
f(x) = (x - 7)(x - 5)(x - 5)(x + 2)

Answers

Final answer:

The polynomial function with a leading coefficient of 1 and the specified roots and multiplicities is f(x) = (x + 2)(x - 7)(x - 5)^27.

Explanation:

The polynomial function you are looking for, which has a leading coefficient of 1, roots at -2 and 7 each with a multiplicity of 1, and a root at 5 with multiplicity 27, is given by the expression:

f(x) = (x + 2)(x - 7)(x - 5)^27

The given roots indicate the factors of the polynomial, and the multiplicity of each root shows how many times that factor is repeated. Hence, the root -2 becomes (x + 2), the root 7 becomes (x - 7), and the root 5 with multiplicity 27 becomes (x - 5)^27. The leading coefficient is 1, which means these factors are not multiplied by any other constant.

Learn more about Polynomial Function here:

https://brainly.com/question/30474881

#SPJ3

HELP WITH MY MATHS HOMEWORK, ITS A YEAR 7 QUESTION

Answers

i think it’s C not quiet sure though

A line plot titled Household T V Ownership has Number of televisions on the x-axis. There is x about 0, 2 above 1, 4 above 2, 7 above 3, 0 above 4, 1 above 5, 1 above 6, and 0 above 7.
The line plot shows the number of televisions students have at home.

students have two televisions at home.
How many televisions do most students have at home?

televisions

Answers

Answer

4

3

Step-by-step explanation:

i did the test.



Which of the following scenarios represents an impulse purchase?
1) Tara goes to the pet store for fish food. She visits the pet adoption center and quickly decides to adopt a dog without considering all of the costs in caring for the dog.
2)Tara goes to the pet store for fish food. She visits the pet adoption center and decides to research the costs in caring for a dog before she adopts one.
3) Tara goes to the pet store for fish food. She visits the pet adoption center and decides to make an affordable donation towards the care of the animals waiting to be adopted.

Answers

Answer:

1

Step-by-step explanation:

Answer 1 is an impulse purchase. An impulse purchase is when someone does something just because they feel like it. She doesn't give herself time to think about the outcomes, how much it would cost, the type of dog, nada. She just buys it. Therefore, answer 1 is an example of impulse buying.

PLZ HELP FASTTT (including brainliest

Solve and graph the inequality 4x – 10 < 18. Which of the following are true about the graph of the solution? Check all that apply. The graph has an open circle at 2. The graph has a closed circle at 2. The graph has an open circle at 7. The graph has a closed circle at 7. The arrow points left. The arrow points right.

Answers

Answer:

open circle at 7; arrow points left

Step-by-step explanation:

To Solve:

4x - 10 < 18

    + 10   +10

4x < 28

/4    /4

x < 7   *only flip sign when multiply/divide by negative

< means the arrow will point left and that it will be an open circle

Answer:

Its is C. The graph has an open circle at 7 and E. The arrow points left.

Step-by-step explanation:

Can i get brainliest please?

Suppose vanilla beans cost $600 per kilogram. Julie bought 9 grams of vanilla beans. Jacques bought 70 grams of vanilla beans. How much more did Jacques pay for his vanilla beans? A.$5.40 B.$12.00 c.$36.60 D.$42.00

Answers

Answer:

The correct option is c,$36.60

Step-by-step explanation:

The key to solving this question lies around measurement conversion,specifically converting grams into its equivalence in kilograms.

1000 grams equal one kilogram

9 grams=9/1000 kg

9 grams=0.009 kg

70 grams=70/1000 kg

70 grams=0.07 kg

Julie pays=$600*0.009=$5.4

Jacques pays=$600*0.07=$42

Jacques pays   $36.60 more ($42-$5.4) than Julie paid

Option is wrong because that was what Julie paid

Option D is wrong because that was what Jacques paid

Option B is obviously wrong

(11+i)^2

please help!

Answers

Answer:

121 + 22i - 1

Step-by-step explanation:

Expand:

(11 + i)² = (11 + i)(11 + i)

Note that:

i² = -1

Use FOIL method. Multiply first terms, outside terms, inside terms, then the last two terms:

(11)(11) = 121

(11)(i) = 11i

(i)(11) = 11i

(i)(i) = -1

Combine like terms:

121 + 11i + 11i - 1

121 + (11i + 11i) - 1

121 + 22i - 1

121 + 22i - 1 is your answer.

~

A fast food restaurant wants to know what types of toys to put in their kids meals, so they will survey their customers. What would be the BEST way to do this?

Answers

personally i would ask every one who orders a kids meal.

hope this helps

Answer:

the answer is c) Ask anyone who orders a kid's meals

Step-by-step explanation:

Identify the x-intercepts of the function graphed below.
A. (-3,0) and (-2,0)
B. (-2,0) and (3,0)
C. (0,0) and (-6,0)
D.(-3,0) and (2,0)

Answers

Answer:

(-2,0) and (3,0)

Step-by-step explanation:

The parabola passes through both points on the graph.

Answer:

B. (-2,0) (3,0)

Step-by-step explanation:

thats where the line passes through the X axis

Determine the longest side in ΔDEF.
A) segment EF
B) segment DE
C) segment FE
D) segment DF

Answers

D Segment DF

The angle on the opposite side is the longest, so the line has to stretch the longest. The bigger the angle, the longer the line has to stretch.

So, since angle E is 73° which is larger than 43° and 64°. The line directly across from angle E is the longest.


Answer D . Segment DF is the longest.

A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
Write your answer using the form y=mx+b.

Please i need help ASAP

Answers

Answer:

y = 4x-7

Step-by-step explanation:

We have a slope and a point

m = 4    (2,1)

Using the slope intercept form of the equation

y = mx+b

y = 4x+b

From the point x=2 and y =1

1 = 4(2)+b

1 = 8+b

Subtract 8 from each side

1-8 =8-8+b

-7 = b

We can write the equation by using m=4 and b = -7

y = 4x-7

Answer:

A

Step-by-step explanation:

1000^m / 100^n can be written in the form of 10^z express z in terms of m and n

Answers

Answer:

z = 3m - 2n

Step-by-step explanation:

[tex] \frac{ {1000}^{m} }{ {100}^{n} } = {10}^{z} \\ \\ \frac{ {10}^{3m} }{ {10}^{2n} } = {10}^{z} \\ \\ {10}^{3m - 2n} = {10}^{z} \\ \\ 3m - 2n = z \\ \\ \huge \red{ \boxed{z = 3m - 2n}}[/tex]

PLZ HELP ON THIS QUESTION ASAP PLZ THANKS AND 5 STARS AND WHEN THERES OPTION FOR BRAINLEST ILL GIVE YOU BRAINLEST ASAP WITH ANSWER PLZ 15 POINTS

Answers

Answer:

£114

Let me know if it is incorrect so that I can review my answer and fix it! :)

Step-by-step explanation:

20% * £1200 = £240

£1200 + £240 = £1440

£1440 - £300 = £1140

£1140 / 10 = £114

Answer:

£114

Step-by-step explanation:

Total to be paid:

[1200 + (20% of 1200)] - 300

[1200 + (20/100 × 1200)] - 300

1200 + 240 - 300

1140

10 installments

Each:

1140/1

114

The width of a swimming pool is 12 feet less than the pool's length. The area of the pool is 540 square feet. What are the dimensions of the pool?

Answers

Answer:

30 feet by 18 feet

Step-by-step explanation:

Area = length * width

A  = x*w

w = x - 12

A = 540 sq. ft

540 = x * (x -12)

x*x - 12x - 540 = 0

x*x - 12x  + 36  - 36 - 540 = 0

(x - 6)^2  -  576 = 0

x - 6 = 24

or x -6 = -24

x = 30  or x = -18

w = 30 - 12 = 18

30 ft by 18 ft

Z
What is the distance from (-6, 2) to the origin?

Answers

(6, -2) will be to the origin, its the middle point so just work backwards to get to 0.

which lengths can be used directly or indirectly to calculate volume of a hexagon right pyramid select three options

Answers

Answer:

A: XY and ST

B: VU and TW

D: TX and WX

Step-by-step explanation:

Just took test.

a) 15/20
b) 20/25
c) 20/25
d) 20/15

Answers

Answer:

a 15/20

Step-by-step explanation:

A=25in

B15in

C20in

Answer:

15/20

Step-by-step explanation:

lol

brainiest rate 5 stars , thank me : )

A wooden door contains a rectangular window. The width of the window is (x - 2) feet. The area of the window can be represented by x ^ 2 - 3x + 2 .

a. Write a binomial that represents the height of the window.

b. The height of the door is 5 feet more than the height of the window. Write a polynomial that represents the height of the door.

c. The area of the door can be represented by x ^ 2 + 4x . The area is 32 square feet . Find the width and the height of the window.

Answers

Answer:  height of the door is x+4

Step-by-step explanation:

Is 2 equal to 2 • 7? Explain.

Answers

Answer:

No,   2 is not 14

Step-by-step explanation:

Evaluate 2*7  you get  2*7 = 14

but 14 is not 2  so no.

Answer:

no

Step-by-step explanation:

No because, 2 times 7 is 14.

Find the HCF of 168 and 196.

Answers

Answer:

The HCF of 168 & 196 is 28

Step-by-step explanation:

The factors of 168 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The factors of 196 are: 1, 2, 4, 7, 14, 28, 49, 98, 196

The highest factor that both 168 and 196 share is 28

Hope this helps :D

Answer:

28

Step-by-step explanation:

168 = 2³ × 3 × 7

196 = 2² × 7²

HCF(168 ; 196) = 2² × 7 = 4 × 7 = 28

what is the distance between the points (1,5) and (5,-4)?

Answers

Answer:

[tex]\sqrt{97}[/tex]

Step-by-step explanation:

Using the pythagorean theorem, you can find that the distance between the two points is [tex]\sqrt{(5-1)^2+(5-(-4))^2}=\sqrt{4^2+9^2}=\sqrt{97}[/tex]. Hope this helps!

Answer:

it 95 good luck

Step-by-step explanation:

at high school 40% of the students buy yearbooks. you select 6 students at random. Find P(exactly two buy yearbooks) and P(at least two buy yearbooks). Explain.

Answers

Answer:

P(exactly two buy yearbooks) = 0.31104

P(at least two buy yearbooks) = 0.76672

Step-by-step explanation:

We are given that at high school 40% of the students buy yearbooks.

You select 6 students at random.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number trials (samples) taken = 6 students

            r = number of success

            p = probability of success which in our question is probability that

                  students buy yearbooks, i.e; p = 0.40

Let X = Number of students who buy yearbooks

So, X ~ Binom(n = 6, p = 0.40)

(a) Now, Probability that exactly two buy yearbooks is given by = P(X = 2)

               P(X = 2) =  [tex]\binom{6}{2} \times 0.40^{2} \times (1-0.40)^{6-2}[/tex]

                             =  [tex]15\times 0.40^{2} \times 0.60^{4}[/tex]

                             =  0.31104

(b) Probability that at least two buy yearbooks is given by = P(X [tex]\geq[/tex] 2)

     P(X [tex]\geq[/tex] 2) =  1 - P(X = 0) - P(X = 1)

                   =  [tex]1- \binom{6}{0} \times 0.40^{0} \times (1-0.40)^{6-0}-\binom{6}{1} \times 0.40^{1} \times (1-0.40)^{6-1}[/tex]

                   =  [tex]1- (1 \times 1 \times 0.60^{6})-(6 \times 0.40^{1} \times 0.60^{5})[/tex]

                   =  1 - 0.04666 - 0.18662

                   =  0.76672

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