For a summer job, Lucy is in charge of chickens and sheep. There are 16 animals total. The number of chickens, y, is 4 less than the number of sheep, x. Which ordered pair (x, y) represents the number of chickens and sheep?

Answers

Answer 1

Answer:

(10,6)

There are 10 sheep and 6 chickens.

Step-by-step explanation:

Let y represent the number of chickens.

Let x represent the number of sheep.

1) Form a system of equations

"There are 16 animals in total"

⇒ [tex]x+y=16[/tex]

"The number of chickens is 4 less than the number of sheep"

⇒ [tex]y=x-4[/tex]

2) Substitute equation 2 into equation 1

[tex]x+(x-4)=16[/tex]

Solve for x

[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]

Therefore, there are 10 sheep.

3) Solve for y

[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]

Therefore, there are 6 chickens.

The ordered pair (10,6) represents the number of chickens and sheep.

I hope this helps!


Related Questions

The polynomial, −4x2+5 , is considered by classification to be a

Answers

Answer:

here u go

Step-by-step explanation:

binomial

Without doing any calculations, determine the missing number that will make the value of Expression B half the value of Expression A. A (8 + 54 + 91) × 12 B (8 + 54 + 91) × _____ Enter your answer in the box.

Answers

Answer:

6

Step-by-step explanation:

12÷2=6

Hope this helps! :)

Melissa has a spray paint that covers about 6,500 square centimeters. Can melissa apply two coats of paint to the entire sculpture?

Answers

Answer:

This question cannot be solved. It does not say anything about a statue in the first sentence and it doesn't give you the area of the statue.

Step-by-step explanation:

Answer:

Actually, in my math book I had that question. The answer was yes, I don’t remember why, but there was a picture included of the sculpture.

Step-by-step explanation:

You have to find the surface area of the cube and the surface area of the cylinder, but you don’t count the faces (circles). Then you total them, and find your answer. You do 6,500 times 2.

Factor the algebraic expression: 28a + 12

Answers

Answer:

hope it is helpful to you

Answer:

4(7a+3)

Step-by-step explanation:

28a+12

take common

4 is the common number for both the terms because it divides 28 and 12 exactly.

4(7a+3)

What is the perimeter of this rectangle?
w2 + 13
W + 5
A w3 + 18
B 2W + 2w + 36
o w3 + 5w? + 13w + 65
D w
+ W + 18
DA
(ОВ

Answers

Answer:

B. 2w^2 + 2w + 36

Step-by-step explanation:

The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.

Applying this logic to this problem, the equation would be as follows:

[tex]w^{2} + 13 + w^{2} + 13 + w+5+w+5[/tex]

Then, we simplify. The like terms go together, and you have your solution.

[tex]2w^{2} + 2w+36[/tex]

find the value of x.

Answers

Answer:

x = sqrt(33)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

4^2 + x^2 = 7^2

16 + x^2 = 49

Subtract 16 from each side

x^2 = 49-16

x^2 = 33

Take the square root of each side

sqrt(x^2) = sqrt(33)

x = sqrt(33)

Pythagorean Theorem:

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]

To find the value of x. Let's use this formula:

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

Imagine that "a" is the "x".

[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]

Hence, The value of x is,

[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]

_________

#LetsStudy

what do you call a line that intrrsects two parallel lines​

Answers

Answer:

Transversal

Step-by-step explanation:

A transversal is a line that passes through two lines in the same plane at two distinct points. 

Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel.

Eight angles of a transversal.

You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?​

Answers

Answer:

Total income= $100

Step-by-step explanation:

Giving the following information:

Hourly rate=$10

To calculate the total income, we need to use the following formula:

Total income= hourly income*number of hours

For example, for 10 hours shoveling in a week:

Total income= 10*10

Total income= $100

find the value of x what makes DEF ~ XYZ

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]

Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)

Answers

Answer:

y = (-1/4)x

Step-by-step explanation:

the factor of x is in a line equation the slope of the line.

it residents actually the ratio of y/x.

in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.

a perpendicular line just reverses that ratio.

now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)

=> -1/4

so, our wanted line equation must be in the form of

y = (-1/4)x + c

c is the offset of the line from the (0,0) point in y direction.

so, what is c ?

now we use the information of the point that is stored to be in that line : (4,-1)

=> -1 = (-1/4)×4 + c

=> -1 = -1 + c

=> c = 0

therefore, the desired line is

y = (-1/4)x

A person whose eyes are 5 feet about the ground is standing on the runway of an airport 100 feet from the control tower. That person observes an air traffic controller at the window of the 132-foot tower. What is the angle of elevation?

Answers

Answer:

Step-by-step explanation:

132-5 therefore the height from the eyes to the window is 127

100 feet away from the base of the tower  

This forms two legs of a triangle

trying to find the degrees of this triangle.

Since its the two legs, you can use tanx which = to opposite side/adjacent side

Therefore, it is tanx = 127/100

But you are looking for x so arctan(1.27)

Must use calculator to find x

Hope this answer helps you :)

Have a great day

Mark brainliest

Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room. Show all your work.

Answers

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

f(x) → 4x - 7. Find f(9)

Answers

Answer:

29

Step-by-step explanation:

f(x) = 4x -7

f(9) = 4(9)-7

=36-7

=29

If a chicken eats 7 food pellets every 10m, and sleeps for 12h, how many pellets would you need for a week and what is the equation

Answers

Answer:767

Step-by-step explanation:

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

Step-by-step explanation:

The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]

Question 1 =  y = -5x + 50

On the graph, c = 50 [ y = mx + 50 ]

30 - 15 = 15

7 - 4 = 3

15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]

ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50

If x = 9, y = (9 x -5) + 50, = -5

y = -5

Question 2 =  y = 2.5x + 5

c = 5

m = 5/2 = 2.5

y = 2.5x + 5

when y = 30 > x = 10

30 = 2.5x + 5

30 - 5 = 25

25 = 2.5x

x = 25/2.5

x = 10

Question 3 = y = -10x + 50

c = 50

m = (30 - 20) / 1 = 10

y = -10x + 50

when x = 4 > y = (-10 x 4) + 50

y = -40 + 50

y = 10

Math help please I need it ASAP

Answers

Answer:

x=10.5

Step-by-step explanation:

[tex]\frac{x}{6} =\frac{7}{4} \\x=\frac{7}{4} \times 6\\=\frac{21}{2} \\=10.5[/tex]

can someone explain how to do this :) im very confused

Answers

Answer:

the answer is 36q^7

Step-by-step explanation:

multiply the bases and add the exponents

Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?

Answers

Answer:

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

Which expression is equivalent to

Answers

Answer:

2 * x^10 * y^12

Step-by-step explanation:

when dividing by exponents with the same base, you subtract the exponent.

Help if you can. Thank You.

Answers

Answer:

[tex]Given:-[/tex] Δ ABC

[tex]AC~is~exteuded ~through ~C~to ~D[/tex]

[tex]BC~is ~drawn ~to ~AC[/tex]

[tex]Using ~Triangles~Exterior~angle~theorm,[/tex]

1) =∠3+∠4 and ∠4=∠5+∠6

∠7=∠3+∠2

So, only D) m∠7=m∠3+m∠2 is correct

---------------------------

hope it helps..

have a great day!!

Write the inverse of the given conditional statement

Answers

Answer:

If I live in South Carolina then I live in Charleston

Step-by-step explanation:

Just switch them

simplify (3³ × 3⁴) ÷ 3²​

Answers


3x3x3=27

3x3x3x3=81

(27x81=2187)

3x3=9

(2187/9=243)

The answer is 243

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?

Answers

Answer:

The mass of the object will be "25 kg".

Step-by-step explanation:

Given that,

Mass,

m = 15 kg

Acceleration,

a = 5 m/s²

Now,

The force will be:

⇒ [tex]F = ma[/tex]

       [tex]=15\times 5[/tex]

       [tex]=75 \ N[/tex]

When, acceleration (a) = 3 m/s²

⇒ [tex]F = ma[/tex]

or,

⇒ [tex]m=\frac{F}{a}[/tex]

        [tex]=\frac{75}{3}[/tex]

        [tex]=25 \ kg[/tex]


What is the least common denominator of the equation 3/4(x-3)-1/2=2/3

Answers

Answer:

3(x-3)/4-1/2=2/3  

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

Step-by-step explanation:

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

Calculate the exact value of 0.5/0.5 * 0.3. Show working please

Answers

Answer:

0.3 if you typed the calculating correctly.

because then all operations are of the same priority and ranking, and we go simply from left to right :

0.5/0.5 = 1

and then there is 1 × 0.3 = 0.3

but if you missed to write any brackets like for

0.5/(0.5 × 0.3)

then this goes differently, because now 0.3 is in the bottom part of the division/quotient.

we can still shorten the expression, as the 0.5 on top and on the bottom eliminate each other to 1. but it leaves us with

1/0.3

now, what is 0.3 ?

it is actually 3/10.

so, we have 1/(3/10) which is the same as

(1/1) / (3/10)

to solve this, the two inner numbers of the quotient multiply and the two outer numbers multiply giving us

(1×10) / (1×3) = 10 / 3 = 3.33333...

so, please pick the solution that best fits your actual question.

A teacher records the test scores of several students. 74,82,70,80,72,76,71,75,78,72.
Find the mean

PLS HELP ASAPPPP
THANK YOU SO MUCH!!!!

Answers

Answer:

75

Step-by-step explanation:

Math

Answer:

75

Step-by-step explanation:

add up all the numbers, then divide by how many numbers there are

a+b=2ab
b+c=3bc
cta=7ca

Answers

Answer:

a+b=2ab

b+c=2bc

c+a=2ca

Help,anyone can help me do quetion​

Answers

geckos sundry cheri suffering augusto

Answer;

B3 = 72°

C3 = 84°

Solution

B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°

C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°

feedback

hope it helps you. thank you.

Solve for x and show your work.
• GIVING BRAINLIEST!

Answers

tan 34 = 12/x and then uhm, put 12/tan34 into ur calculator

Can you guys help me

Answers

(1,3) if you look at the graph, both inequality’s graphed overlap at (1,3) we only see green in (1,1)
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