Horses varied directly as goats and inversely as pigs squared. When the barnyard contained 5 horses there were 4 pigs and only 2 goats. How many goats went with 6 pigs and 10 horses?

Answers

Answer 1

Answer:

I believe the answer is four there is twice as many horses so you would double the amount of original goats.

Answer 2

The number of goats that went with 6 pigs and 10 horses is; 4 goats.

Let the number of horses be h.

Let the number of pigs be p

Let the number of goats be g.

We are told that horses vary directly as goats.

Thus;

h ∝ g

Thus; h = k1g - --(eq 1)

Also, we are told that horses varies inversely as pigs squared.

Thus;

h ∝ 1/p²

h = k2/ - - - (eq 2)

Where k1 and k2 are constant of proportionality.

When there are 5 horses there are 2 goats. Thus;

5 = 2k1

k1 = 5/2

k1 = 2.5

When there are 10 horses, we will have;

10 = 2.5g

g = 10/2.5

g = 4

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Related Questions

*I WILL MARK YOU BRAINLIEST!!!!*

Answers

Answer:

The answer would be -9 and -3 which would be B and D

Step-by-step explanation:

what is the slope of the linear relationship shown in this table?

Answers

Answer:

-1/2

Step-by-step explanation:

Slope is change in x over change in y

so..

2-(-4)

over

-1-11

so...

-6/12 or -1/2

can you do this for me 3x+y=10, 2x^2+y^2=19​

Answers

Answer:

1 , 29/11

Step-by-step explanation:

3x+y = 10 ....(1)

2x² +y² = 19 ....(2)

3x+y= 10

y = 10-3x

substituting the value of y in 2nd equation

2x² + y² = 19

2x² + (10-3x)² = 19

2x² + 100 + 9x² - 60x -19 = 0

11x² - 60x +81 = 0

11x² - 33x - 27x + 81 = 0

11x( x-3) - 27(x-3) = 0

(x-3)(11x-27) = 0

x = 3, 27/11

substituting x value on first equation

x= 3 x= 27/11

y= 10-3(3) y= 10 - 81/11

= 10-9 = (110-81)/11

= 1 = 29/11

Hope it helps...

Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q p ∨ q p → q q → p p ↔ q q ↔ p

Answers

Answer:

p ∨ q → True

(q → p) → True

Step-by-step explanation:

If the truth value of the statement p is 'True' and truth value of statement q is 'False',

p ∧ q → False [Conjunction of both the statements will be true only when both the statements are True]

p ∨ q → True [Disjunction of two statements will be false only when both the statements are false]

(p → q) → False

(q → p) → True [Implication of both the statements is false only when p is true and q is false otherwise true]

(p ↔ q) → False [Bi-conditional statements are true if and only when both the statements are true]

(q ↔ p) → False

Answer:

Your answer would be answer two and four.

Simplify (5 + 1)^2- (11 +32) divided by 4

Answers

Answer:

-7/4

Step-by-step explanation:

((5 + 1)^2- (11 +32))/ 4=(36-43)/4= -7/4

Answer:

31

Step-by-step explanation:

^9 belongs to what family of real numbers?

Answers

Answer:

Rational number

Step-by-step explanation:

Rational numbers repeat and terminate. The square root of 9 is 3, and 3 is a whole number as well as a number that terminates,  which makes it a rational number

Solve for x X+10y=1550

Answers

Answer:

X=1550-10y

Step-by-step explanation:

X+10y=1550

Subtract 10y from each side

X+10y- 10y=1550-10y

X=1550-10y

Answer:

[tex]x = 1550 - 10y[/tex]

Step-by-step explanation:

[tex]x + 10y = 1550 \\ x + 10y - 10y = 1550 - 10y \\ x = 1550 - 10y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Determine the number of solutions for the quadratic function f(x) = -x^2 + 3x - 9.

Answers

Answer:

0

Step-by-step explanation:

Rewrite the equation as x^2-3x+9=0

find the determinant.

D = b^2-4ac = (-3)^2-4*1*9 <0

no solution

Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.

Answers

Complete question:

Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.

Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.

Answer:

In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.

We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.

Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.

Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.  

The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.

difference in the abscissa of points A (4,3) and B (-7,2)

Answers

Answer:

The difference is 11 units

Step-by-step explanation:

When we talk of the abscissa, we are referring to the x-axis.

So what this question is asking us is the difference between the values of the x-axis

At point A, the value is 4 while at point B, the value here is -7

So the difference between this two would be 4-(-7) = 4 + 7 = 11 units

Would someone help me with this?

Answers

Answer:

A,E

Step-by-step explanation:

A    The minimum number of pages read was 24.  The smallest number is the dot on the left side which is at 24

E    The mean is the middle line in the box, this is at 48

Onsider the enlargement of the triangle with a scale factor of 8 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Side A corresponds with a side with length of 2 centimeters. Side A = 2(8) = 16 cm. What is the length of side B?

Answers

Answer: Incomplete question

Step-by-step explanation: The question does not provide a diagram, and that makes it difficult to determine which side is labelled as B. Nevertheless I will give you clues to help you answer your question by explaining  this topic which is SIMILAR TRIANGLES.

When you have been given two triangles with a scale factor, the scale factor is an important part of answering the question eventually.

Consider a triangle which I shall call triangle 1, with sides abc and another triangle ABC, which I shall call triangle 2. The scale factor is 8, which means triangle 1 can be enlarged into a similar triangle by simply multiplying any corresponding side by 8. Hence, if in triangle abc, you have a side that measures 8 centimetres, the corresponding side in triangle ABC would be 8 times 8 which equals 64 centimetres.

The question states that side A corresponds with a side measuring length 2 centimetres. That means side A is derived as 2 times 8 which equals 16 centimetres, as explained above (and as shown in the question). Therefore side B which is yet unknown shall also be the corresponding side in triangle 1 multiplied by 8.

Since the corresponding side was not stated, I shall assume for the sake of explanation that the corresponding side is 10 centimetres. That means, side B would now be derived as 10 times 8 which equals 80 centimetres.

These can be expressed mathematically as follows;

If A = 16, a = 2 and b = 10 then B would be calculated as follows;

A/a = B/b

16/2 = B/10

By cross multiplication, you now have

16 * 10 = 2 * B

160/2 = B

80 = B

Following these steps along with the explanations, the length of side B can be derived if the value of its corresponding side is given or a diagram is provided.

Answer:

its 40 because the dude above is an but face (sorry) (not sorry u suk)

Step-by-step explanation:

welcum

This is a compound event problem. (Check the videos from this week's assignments.).


You roll a fair six-sided die and spin a spinner. What is the probability that the die shows a 4 and the spinner lands on yellow?


Fraction


Decimal (provide the first 5 decimal numbers)


Percent % (Round to the nearest tenth.)

Answers

Answer:

1/12

Step-by-step explanation:

The desired probability is the product of the probabilities of two independent events.  The probability of obtaining a 4 on the fair 6-sided die is 1/6 (one out of 6) and that of the spinner's coming to rest on Yellow is 2/4, or 1/2.

Calculate the probability of this joint event as follows:  (1/6)(1/2) = 1/12

A machine is programmed to make a horizontal cut along
the x-axis, trimming the sides of the satellite dish. What is
the resulting width of the satellite dish, in feet?

Answers

Answer:12ft

Step-by-step explanation:

As per linear equation, the resulting width of the satellite dish is 12 feet.

What is a linear equation?

A linear equation is an equation that may contain one or multiple variable with the highest power of the variable is 1.

The width of the satellite dish extended along with the x-axis from (- 6, 0) to (6, 0).

Therefore, the width of the satellite dish is

= (6 + 6) feet

= 12 feet

Therefore, the width is 12 feet.

Learn more about a linear equation here: https://brainly.com/question/16908943

#SPJ3

You are graphing square ABCD in the coordinate plane. The following three of the vertices of the square: A(4,-7), B(8,-7), and C(8,-3.

Answers

If those are your 3 vertices for the square, the last one would be at (4, -3).

how do you figure out what is a trinomial?

Answers

Answer:

To factor trinomals in the form of x^2+bx+c, you have to find 2 integers, r and s, whose product is c, and whose sum is b. You have to rewrite the trinomial as x^2+rx+sx+c and then using the grouping and distribution of property to factor the polynomial. The result of the factors will be (x+r) and (x+s)

Step-by-step explanation:

Anyone know the Answer asap

Answers

Answer:

39/10

Step-by-step explanation:

Answer:

39/10

Step-by-step explanation:

happy to help u:)

The point-slope from of a line that has a slope of -2 and passes through the point (5,-2)

Answers

Step-by-step explanation:

y + 2. = -2(x - 5)

y + 2 = -2x + 10.

y = -2x + 8

What’s the sum of -30 and 29

Answers

Answer:

The answer of -1.

Step-by-step explanation:

You have to add both numbers together :

[tex] - 30 + 29 \\ = - 1[/tex]

[tex] - 30 + 29 \\ = - 1 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

HELP ME ASAP FOR BRANETEST I MEAN IT >_

Answers

Answer:1 1/6

Step-by-step explanation:

A punter kicks a football into the air with an initial velocity of 84 feet per second. The equation

[tex] {16}t^{2} + 84[/tex]
gives the height of the ball after t seconds.

What is the maximum height of the football.


Answers

Answer:

84feet

Step-by-step explanation:

Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.

Velocity V is the change of rate of displacement.

V = dh/dt = 32t

0 = 32t

t = 0secs

at t = 0;

h(0) = 16(0)²+84

h(0) = 84feet

This shows that the maximum height of the ball is 84feet

Evaluate x ÷ y for x = 3 and y = 12. Your answer: A. 0.25 B. 4 C. 9 D. 36

Answers

Answer:

B or D

Step-by-step explanation:

best bet is B

Answer:4

Step-by-step explanation:

Match each logarithm to its value

Answers

Answer:

D

C

B

A

Step-by-step explanation:

In the picture ⬆️

Llllllllllllllllllllll

the altitude of a right circular cone is 8cm and the radius of the base is 6cm what is its total surface area​

Answers

Answer:

301.44 cm ^ 2

Step-by-step explanation:

We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.

the area of the base, being a circle is pi * r ^ 2

the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l

the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:

l ^ 2 = 6 ^ 2 + 8 ^ 2

l ^ 2 = 100

l = 10

Therefore, we can replace:

A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6

A = 301.44

It means that the total surface area is 301.44 cm ^ 2

If this trapezoid is moved through the translation (x+3,y-2), what will be the coordinates of be?

Answers

Answer:

C'(1, 2 )

Step-by-step explanation:

The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )

please help me i really need help i dont understand
write an inequality for the folowing statement :

The sum of triple a number x and eight is atleast a number y.
Inequality : ___________

Cupcakes cost $2.00 each. Ballons cost $1.25 each. Her bill was no less than $25.00.Write an inequality that could be used to find n, the greatest possible number of cupcakes, and m, the greatest possible number of ballons , she bought. Inequality:____________

Answers

Answer:

Step-by-step explanation:

First problem:  3x + 8 ≥ y  

Second problem:  Represent the number of cupcakes with n and that of balloons by m.  Then ($2/cupcake)(n) + ($1.25/balloon)(m) ≥ $25

Answer:
Inequality #1 — 3x + 8 ≥ y
Inequality #2 — 2n + 1.25m ≥ 25

Explanation:
• Inequality #1
“The sum” = addition (we‘ll be adding in this inequality)
“Of triple a number x” = 3x
“And eight” = + 8 (this is where we add)
“Is at least” = ≥
“A number y” = y
This give us the final inequality: 3x + 8 ≥ y

• Inequality #2
“$2 per cupcake” = 2n
“$1.25 per balloon” = 1.25m
“No less than $25” = ≥ 25
This gives us the final Inequality: 2n + 1.25m ≥ 25

Which statement best describes the function below

Answers

Answer:

Option D. will be the answer.

Step-by-step explanation:

Given function is f(x) = 2x³ + 2x² - x

Table of input and output:

Input (x)     -2        -1         0         1          2

Output (y)  -6         1         0         3        22

Option (A).

From the graph attached,

It passes the vertical line test.

Option (B).

Since every input value gives a unique output value, it's not a many-to-one function.

Option (C).

It's a function.

Option (D).

It's a one-to-one function.

Answer: It is a many-to-one function.

Step-by-step explanation:

just did the test

Can someone please help me to finish this up and I don’t know

Answers

Answer:

This is an enlargement.

Step-by-step explanation:

This is an enlargement.

A reduction would be smaller

A rotation would be changing the angle and a reflection would be a mirror image

The answer is An Enlargement

what is the answer to -3x - 6+ (-1)​

Answers

Answer:

-3x-7

Step-by-step explanation:

Answer:

-3x - 7

Step-by-step explanation:

Solve this equation 3x-1/5-2/9x=124/5 , simply by combining like terms, Which terms can be combined? Isolate the variable term by adding this value to both sides of the equation?

Answers

Answer:

x=9

Step-by-step explanation:

x in (-oo:+oo)

3*x-((2/9)*x)-(1/5) = 124/5 // - 124/5

3*x-((2/9)*x)-(1/5)-(124/5) = 0

3*x+(-2/9)*x-1/5-124/5 = 0

25/9*x-25 = 0 // + 25

25/9*x = 25 // : 25/9

x = 25/25/9

x = 9

Answer:

1/5

Step-by-step explanation:

i got it right

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