There are 56 sheep in a paddock. Each sheep is either black or white. There are 6 times as many white sheep than black sheep. How many black sheep are there?

Answers

Answer 1

Here we want to make a system of equations and solve it, in this way, we will see that there are 8 black sheep.

first, let's define the variables:

x = number of black sheep

y = number of white sheep.

We know that:

"there are 56 sheep"

Then we can write:

[tex]x + y = 56[/tex]

We also know that there are 6 times as many white sheep than black sheep, this means that:

[tex]y = 6 \cdot x[/tex]

Then we have a system of equations:

[tex]x + y = 56[/tex]

[tex]y = 6\cdot x[/tex]

To solve this we need to start by isolating one of the variables in one of the equations. Here, we can see that the variable y is already isolated in the second equation, so we can use that.

Now we can replace that variable in the other equation:

[tex]x + y = 56[/tex]

[tex]x + 6\cdot x = 56[/tex]

Now we can solve this for x, the number of black sheep:

[tex]7\cdot x = 56\\\\x = 56/7 = 8[/tex]

There are 8 black sheep.

If you want to learn more, you can read:

https://brainly.com/question/24374693


Related Questions

Cairde will mark brainliest!!!!

Answers

Answer:

mMN=190°

Step-by-step explanation:

Let the centre of the circle be C

An angle at the circumference of a circle is half the angle at the centre standing on the same arc.

Therefore:

2(<MLN)=<MCN

<MCN=2(95)=190°

mMN=<MCN=190°

Well this is very hard and I need help passing do anybody know the answer to this question

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Answer:

-1.9

Step-by-step explanation:

What is the volume of the rectangular prism?

Answers

Answer:

[tex]10^{3}[/tex]

Step-by-step explanation

3 x 5 x 2 = 30 x 1/3 = [tex]10^{3}[/tex]

Choose the theorem that proves these triangles are congruent.

Answers

Answer:

ASA

Step-by-step explanation:

If STV is congruent to UVT as UTV is congruent to SVT, then TV is a transversal which is congruent to itself. Therefore, reading left to right, the theorem that proves the triangles congruent is ASA because we have two pairs of congruent angles and one side.

again hellllllp meeee​

Answers

Answer:

quadrant 2

Step-by-step explanation:

Answer:

Quadrant IV

Step-by-step explanation:

FIRST TO ANSWER GETS BRALYIST
good luck :-)

Answers

Answer:

My answer is 20ft I'm not really sure but hope this helps

A LOT OF POINTS!!
Suppose you borrow $40,000 at 13% APR for a 12-year term to be paid monthly. Your monthly payment is $450.00.

How much of your first payment goes toward interest?

Make sure you show your work to earn full credit.

Answers

Answer:

You get $45,200 first with interest with the 5400 you made in 1 year that dedeucts

Step-by-step explanation:

A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of helicopters produced per week can be modeled by a quadratic function. When 1 helicopter is produced per week, the company’s profit is 4 thousand dollars. The maximum profit, 22 thousand dollars, occurs when 4 helicopters are produced per week.

The function that models the scenario, where h is the number of helicopters produced per week, is

f(h) = –2(h – 4)2 + 22.

When 6 helicopters are produced weekly, the company’s profit is (blank)
thousand dollars.

Answers

I hope this helps
Explanation:
I took this in 9th grade so I know how to do this kind of stuff

Answer:

the answer is B

Step-by-step explanation:

Phil needs to run at least 30
miles this week for his
training, If he has already run
18 miles this week, then how
mary miles should he run on
each of the 3 remaining days
this week?

I NEED THE INEQUALITIES SOLUTION AND THE GRAPH OF EACH QUESTION

Please please please give me all to each question not just the answer please

IF YOU GIVE ME A LINK I WILL REPORT YOU!


Answers

Answer:

The answers to these equations are 4 for the left math problem, 4 for the middle math problem, and 10 for the right math problem.

Step-by-step explanation:

Answer above.

Nathan bought 12 books for a total of $60. At this rate, what is the cost of 4 books?

I NEED THIS SOON PLEASE I'M BEGGING!!!!!

Answers

Answer:

$20

Step-by-step explanation:

divide 60÷12 =5 gives the cost of one book

multiply 5×4=20

What is the area of this?

Answers

Answer:

just multiply 95 times 1.2 which is 114

The perimeter of the kite is 134 cm. Find the value of x.

Answers

Answer:

x = 10 cm

Step-by-step explanation:

(3x + 2) + (3x + 2) + (4x - 5) + (4x - 5) = 134 cm

combine like terms:

14x - 6 = 134

add 6 to each side of the equation:

14x = 140

divide both sides by 14:

x = 10

.........................................

Answers

Answer:

Whats wrong??

Step-by-step explanation:

Answer:

you ok ?

Step-by-step explanation:

I dont know what the ......... means

Find the equation of the line which passes through (-2,-2) and (2, -4).
O A. y = -1/2 x
O B. y=-x-3
OC. y=-3x-5
OD. y = -2x – 6
O E. y = {x-3

Answers

It should be B

Calculate the slopes using the change of y over the change in x

-2/2=-1

That’s the only option with a slope of -1
It is B y =-X- 3 hope that helps

I need help with this if you’re right I will mark you as brainlest

Answers

Answer:

try 1.8 or .18

Step-by-step explanation:

NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.

Answers

The last one……!.!.!.!!.

1.1.4 practice scale drawing

Answers

Answer:

Question Unclear

Step-by-step explanation:

Is this relating to your topic?

1.1.4 Practice: Scale Drawings

Practice

Math 7 Sem 2

Points Possible:5

Name:

Date:

Tips for Success

Read the assignment carefully and make sure you answer each part of the question or questions.

Check your work when you're done.

Your Assignment

Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.

Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.

Adam says he knows another way.

Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.

1. What is the area of the board shown on the scale drawing? Explain how you found the area.

Write your answer in the space below.

2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.

Write your answer in the space below.

3. What is the area of the actual electronics board?

Write your answer in the space below.

can someone please show me how to solve this?

Answers

surface area: 314

formula: A = 4pi r^2

volume: 523.33

formula: V = 4/3pi r^3

to solve you’d just plug in your radius (r), which in this case it’s 5

:)

53
Given that the measure of angle Xis 132º, and the measure of angle Yis 55°, find the
measure of Angle z

Answers

Is this shape a triangle????

What is the absolute mean deviation of this data?
1, 2, 3, 3, 4,5, 6, 8

Answers

Answer:

4/1/7 ( 4 and 1 over 7)

Step-by-step explanation:

First add all the numbers

1+2+3+4+5+6+8= 29

Finally you divide the total by counting the numbers which you have add up

29÷7

= 4/1/7 ( 4 and 1 over 7)

Mark me as the brainiest answer

Answer:

Step-by-step explanation:

1. Mean

1 + 2 + 3 + 3 + 4 + 5 + 6 + 8= 32

32/ how many numbers there are

32/ 8 . = 4

Mean = 4

1 2 3 3 4 5 6 8

3 2 1 1  0 1 2 4

3 + 2 + 1 + 1+0 + 1 + 2+ 4 =14

14/how many numbers there are

14/8 = 7/4 or in mixed form 1 3/4

Find the value of x.
B
2
X
А A
30°
5
30°
5

Answers

Answer:

the x value is 2

because the triangles are similar

i think

The value of x, that is chord CD is 2 cm.

We need to find the value of x.

What is the statement of equal chords of a circle?

Equal chords of a circle subtend equal angles at the centre. The converse of the theorem is if two chords subtend equal angles at the centre, they are equal.

In the given diagram chord AB and chord CD subtend the equal angles which are 30°. Therefore, AB=CD=2 cm.

Hence, the value of x, that is chord CD is 2 cm.

To learn more about circle theorems visit:

https://brainly.com/question/19906255.

#SPJ2

helpppppppppppppppppp

Answers

Use substitution
Since you know they are both y, you can make the values of each equal to each other.

2x - 9 = -x + 3
3x = 12, x = 4
Plug x = 4, into any equation
Y = 2(4) - 9
Y = 8 - 9 = -1, y = -1

Solution: (4,-1)

Every unitary operator U : X → X is normal. b) A matrix is unitary if and only if it is invertible. c) If two matrices are unitarily equivalent, then they are also similar. d) The sum of self-adjoint operators is self-adjoint. e) The adjoint of a unitary operator is unitary. f) The adjoint of a normal operator is normal. g) If all eigenvalues of a linear operator are 1, then the operator must be unitary or orthogonal. h) If all eigenvalues of a normal operator are 1, then the operator is identity. i) A linear operator may preserve norm but not the inner product.

Answers

yes

for the following reasons:

SOLVE

FIND THE AMOUNT OF DISCOUNT WHEN THE ORIGINAL PRICE IS $44.00 AND THE DISCOUNT RATE IS 40%



WILL GUVE BRIANLIST



XXX


X
X
X
X
X
X
X
X
X
X

Answers

Answer:

$26.40

Step-by-step explanation:

40% of 44 is 17.6.

44-17.6 = 26.40

HELP ME PLEASE I AM CRYING

Answers

Answer:

I thinks is the 4th or the last

Find the perimeter of triangle round nearest tength

Answers

This is the answer. I hope it helps!

pls help me waaaaaaa​

Answers

Answer:

lol lol lol lol lol lol lol lol

Step-by-step explanation:

Which expression below has the same value as
6
9?​

Answers

Which expression below has the same value as

6

9?​

Answer:

answer is c no because 9 power six so, we have to write 9 number 6 times

PLZ GIVE BE BRAINLIEST ANS+THANKS :(

Answer:

C,

Step-by-step explanation:

Hey there the answer is C  9x9x9x9x9x9 i did it 6 times because the exponent was 6

PLS HELP WITH NUMBER 6

Answers

Answer: The answer to this question is A

A shop advertised "Everything half price
in our sale”, but also now advertises that
there is "An additional 15% off sale
prices":
Overall, this is equivalent to what
reduction on the original prices?

Answers

Your answer would be 57.5%.

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