A zookeeper is monitoring the population of birds. The flock needs to have exactly three times more females than males to thrive, and the zoo only has room for a maximum of 20 male birds. Let x represent the number of male birds and y represent the number of female birds. Write the constraints to represent a thriving population of birds at the zoo. X > 0 and y > 0 0 < x ≤ 20 and y > 60 x > 0 and y < 20 0 < x ≤ 20 and 0 < y ≤ 60.

Answers

Answer 1

The correct option is D.[tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].

Given,  [tex]x[/tex] represent the number of male birds and  [tex]y[/tex] represent the number of female birds.

The flock needs to have exactly three times more females than males to thrive.  

So, in equation form we have,

[tex]y=3x[/tex]........(1)

Since, The zoo only has room for a maximum of 20 male birds.

So, we can write the inequality for [tex]x[/tex] as,

[tex]0< x\leq 20[/tex]......(2)

Since The maximum number of male birds is 20, so for [tex]x=20[/tex]

y will be,

[tex]y=3\times 20\\[/tex]

[tex]y=60[/tex]

Hence, The maximum number of female birds is 60.

So, we can write the inequality for [tex]y[/tex] as,

[tex]0< y\leq 60[/tex]

Hence the required constraints are [tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].

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Answer 2

Answer:d

Step-by-step explanation: did the test


Related Questions

A driver travels for 2 hours at 90 miles per hour, during which her car gets 30 miles per galoon of gasoline. She is paid $0.70 per mile, and her only expense is gasoline at $4 per gallon. What is her net rate of pay, in dollars per hour, after this expense?

Answers

Answer:

Her net rate of pay in dollars per hour after the expense = $26

Step-by-step explanation:

Given:

Driver travels for 2 hours.

Speed = 60 miles per hour

Her car runs at the rate of 30 miles per gallon of gasoline.

She is paid $0.50 per mile.

Expenses is price of gasoline at the rate of $2.00 per gallon.

To find her net rate of pay in dollars per hour.

Solution:

In one hour the driver travels = 60 miles

For each mile she is paid = $0.50

So, for 60 miles she will be paid =

In a gallon of gasoline the car travels = 30 miles

So, to travel 60 miles, the car would require = gallons of gasoline

1 gallon of gasoline cost = $2.00

Expenses for 2 gallons of gasoline =

So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.

Thus, her net rate of pay in dollars per hour after the expense =

Brainlist please

The net rate of pay is $122 for the two hours journey.

The driver travels for 2 hours at 90 miles per hour.

Total distance travelled = 2 hours * 90 miles per hour = 180 miles

Money paid to driver = $0.70 per mile * 180 miles = $126

Fuel consumption = 30 miles per gallon, hence:

Total fuel consumption = 180 miles / (30 miles per gallon) = 6 gallon

Total expense = $4 per gallon * 6 gallon = $24

Net rate of pay = $126 - $24 = $122

The net rate of pay is $122 for the two hours journey.

Find out more on equation at: https://brainly.com/question/2972832

A first number plus twice a second number is 5. Twice the first number plus the second totals 13. Find the numbers.

Answers

Let a and b = the numbers we must find.

a + 2b = 5.....Equation A

2a + b = 13.......Equation B

We have a system of equations in two variables.

I will solve A for little a.

a + 2b = 5

a = 5 - 2b

Now I will plug 5 - 2b for a in B.

2(5 - 2b) + b = 13

10 - 4b + b = 13

-3b = 3

b = -1

To find a, replace b with -1 in EITHER A or B.

I will use Equation A.

a + 2b = 5

a + 2(-1) = 5

a - 2 = 5

a = 7

The two numbers are -1 and 7.

Understand?

What is the slope of the line containing the points (-6,4) and (2,1)

Answers

In order to find the slope, we need the formula (y2-y1)/(x2-x1). The x and y represent the point (x,y). (-6,4) is our first point. (2,1) is our second point. (1-4)/2-(-)6 > -3/2+6> -3/8

The slope is -3/8.

function g is represented by th table.
x -1 0 1 2 3
g(x) 15 3 0 -¾ -15/16

Which statement correctly compares the two functions?
А.They have the same x- and y-intercepts.

B.They have different x- and y-intercepts but the same end behavior as x approaches infinity.

C.They have the same y-intercept and the same end behavior as x approaches infinity.

D.They have the same x-intercept but different end behavior as x approaches infinity​

Answers

Answer:

  D.  They have the same x-intercept but different end behavior as x approaches infinity​

Step-by-step explanation:

A careful comparison reveals the g(x) values in the table are 1/2 the y-values in the graph. The x-intercepts are the same, but the y-intercepts and end behavior are different.

The arcs in the photo at the right appear to
be paths of stars rotating about the North Star, To produce this effect, the
photographer set a camera on a tripod and left the shutter open for an
extended time. If the photographer left the shutter open for a full 24 hours,
each are would be a complete circle. You can model a star's rotation" in the
coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position
of the star at the moment the camera's shutter opens. Suppose the shutter is
left open for 2 h 40 min, with the arc ending at P. a. What angle of rotation
maps Ponto P? b. What are the x and y coordinates of P to the nearest
thousandth? c. What translation rule maps P onto P?

Answers

Answer:

a. What angle of rotation maps Ponto P?

30.25 degrees

b. What are the x and y coordinates of P to the nearest thousandth?

(83.3, 33.3)

c. What translation rule maps P onto P?

Rotation

Don’t understand this one, hoping for help

Answers

The number must be be 67 and 113. It must be a multiple of 3, 6, AND 9. For instance, 18 is a multiple of 3, 6, and 9. 3*6 is 18, 6*3 is 18, and 9*2 is 18.

The answer is: 72, 90, 108

These are all multiples of 3, 6, and 9. 3*24, 12*6, and 9*8 is 72. 3*30, 6*15, and 9*10 is 90. 6*36, 6*18, and 9*12 is 108.

can someone help me find the fa tor of (128m^2n^5 - 200m^4n^3)?

Answers

Answer:

[tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]

Step-by-step explanation:

[tex]128m^2n^5-200m^4n^3[/tex] <-- Given

[tex]m^2(128n^5-200m^2n^3)[/tex] <-- Factor out m²

[tex]m^2n^3(128n^2-200m^2)[/tex] <-- Factor out n³

[tex]8m^2n^3(16n^2-25m^2)[/tex] <-- Factor out 8

[tex]8m^2n^3(4n-5m)(4n+5m)[/tex] <-- Difference of Squares

Therefore, the factors are [tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]

The two triangle shown below are similar triangles.

What is the value of d in meters?

Answers

D is 4 metres and the scale factor is 6

make r the subject of the formula

Answers

Answer:

r=[tex]\frac{3t}{t-1}[/tex]

Step-by-step explanation:

t(r-3)=r

tr-3t=r

tr-r=3t

r(t-1)=3t

r=[tex]\frac{3t}{t-1}[/tex]

a=5 and b=-5 , 2ab-a^(2)

Answers

Answer:

Step-by-step explanation:

2(5)(-5)-(5)^2

=−75

Find the exact value of sin 29π/6
Group of answer choices

a 3/4

b 1/2

c -3/5

d 0

Answers

Answer:

b

Step-by-step explanation:

Remove full rotations of  

2

π

until the angle is between  

0

and  

2

π

.

sin

(

5

π

6

)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

sin

(

π

6

)

The exact value of  

sin

(

π

6

)

is  

1

2

.

1

2

The result can be shown in multiple forms.

Exact Form:

1

2

Decimal Form:

0.5

The decimal form is 0.5
And it’s b. 1/2

Chromosome 13 in the human body contains a DNA molecule that is about 3.19 centimeters long.

What is the length of 1,000 of these molecules?

Answers

your answer is 3,190 centimeters. or 31.9 meters

please help me Im lost on this :(​

Answers

Answer:

C

Step-by-step explanation:

the quadratic formula is

[tex] \frac{ - b + \sqrt{b ^{2} - 4ac} }{2a} [/tex]

Make the quadratic equal to 0, so it will be 3x^2 + 8x -2=0. Then substitute the values into the equation.

Answer: C) 3x^2+8x-10=-8

Step-by-step explanation:

3x^2+8x-10x=-8

3x^2+8x-2=0

a=3 b=8 c=-2

Plug it into quadratic formula.

To solve 5x + 2 = 1/125, you would first:

Answers

5x + 2 = 1/125
5x = 1/125-2
5x = -249/125
x= -249/625

The solution of the given equation5x + 2 = 1/125 would be equal to -229/625.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The solution of the given equation is

[tex]5x + 2 = 1/125\\5x = 1/125-2\\5x = -249/125\\x= -249/625[/tex]

Learn more about finding the solution graphically here:

https://brainly.com/question/26254258

#SPJ2

Pls answer me this (WILL MARK BRAINLIEST)

Answers

Answer:

a=3 b= -40

Step-by-step explanation:

.....

5x + 15y = 1200 models how many cars washed (x) and how many bikes sold (y) Jim has to do to save $1200. Of the four combinations of car washed and bikes sold below, which does NOT result in $1200?(3, 79)(6, 78)(8, 76)(9, 77)

Answers

Answer:

(8, 76)

Step-by-step explanation:

Plz answer I will make brainiest plzzz I need right answer ASAP!!!!!

Answers

Answer:

its 6 square feet

s = 1

1^2 = 1

6 x 1 = 6

The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days: n = 2000x 1000 What does the number 1,000 represent? Amount of trash originally in the landfill Amount of trash added to the landfill every day Rate at which the total trash increases every day Rate at which the new trash increases every day.

Answers

The number 1000 represents the amount of trash originally in the landfill.

Given that,

The same amount of trash is dumped into a landfill every day.

The function below shows the total number of tons of trash n in the landfill after x days:

n = 2000x + 1000

We have to determine,

What does the number 1,000 represent?

According to the equation,

The function is,

n = 2000x + 1000

The initial value of a function is defined as the started value of the function independent of any variables present in the function.

Here, n represent the amount of trash and x represents the number of days.

Therefore,

n = 2000x + 1000

In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.

Hence, The number 1000 represents the amount of trash originally in the landfill.

For more information about Equation refer to the link given below.

https://brainly.com/question/7383794

The correct answer would be A, the amount originally in the landfill.

what does the term ‘slope’ mean?

Answers

Answer:

noun

1.

a surface of which one end or side is at a higher level than another; a rising or falling surface.

Step-by-step explanation:

steepness

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)

step one: identify two points on the line

step two: select one to be (x1,y1) and the other to be (x2,y2)

step three: use the slope equation calulate slope

2x-3=8+7(+3)

2y-3(+3)=8x+7(+3)

2y=8x+10

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

2y=8x+10

y=4x+5

Answer:

m=4

Use the graph of △ABC with midsegments DE, EF and DF. Show that EF is parallel to AC and that EF=1/2 AC

Answers

According to the midsegment theorem, the midsegments are parallel to

and half the length of the opposite side.

The completed statement are as follows;

Because the slopes of [tex]\overline{EF}[/tex] and [tex]\overline{AC}[/tex] are both -4, [tex]\overline{EF}[/tex] ║ [tex]\overline{AC}[/tex]EF = [tex]\underline{\sqrt{17}}[/tex] and AC = [tex]\underline{2 \cdot \sqrt{17} }[/tex]Because [tex]\underline{\sqrt{17} }[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17} }[/tex], [tex]EF = \frac{1}{2} \cdot AC[/tex]

Reasons:

From the given graph of ΔABC, we have;

Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)

The coordinates of the point D and E on [tex]\mathbf{\overline{DE}}[/tex] are; D(-4, -2), and E(-2, 0)

The coordinates of the point F is; F(-1, -4)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4[/tex]

[tex]\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4[/tex]

[tex]Length \ of \ segment,\ l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Length of EF  = √((-1 - (-2))² + (-4 - 0)²) = √(17)

Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)

Therefore, we have;

Because the slope of [tex]\mathbf{\overline {EF}}[/tex] and [tex]\mathbf{\overline {AC}}[/tex] are both , -4, [tex]\overline {EF}[/tex] ║ [tex]\overline {AC}[/tex]. EF = [tex]\underline{\sqrt{17}}[/tex], and AC

= [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex],. Because [tex]\underline{\sqrt{17}}[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex], [tex]EF =\mathbf{ \frac{1}{2} AC}[/tex]

Learn more about midsegment theorem of a triangle here:

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Sue is still a waitress. If she worked 21 hours this week and made $70 in tips she didn't
make enough for her weekly pay to be above minimum wage. How much does her
employer have to pay to make up the difference and ensure that she makes minimum
wage for the week?

Answers

Answer:

more than 23.3 $

Step-by-step explanation:

if we say she will work minimum 4 hours in day that mean it will be 28 hours

so she left 7 hours behind

and she make 3.33$ per hour (70/21=3.33) so (7 * 3.33 = 23.3) she need more than 23.3$

(2x-3)(x+5)-(x-6)(x+5)=0

Answers

X=-5,-3
That’s would be the answer
ITS POSSIBLE MAYBE I DEFINITELY DIDNT READ UR THING 7

A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost

Answers

Answer:

$6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.4

what is the answer???

Answers

Answer:

[tex] \frac{65}{97} [/tex]

Cosine ∅ = adjacent ÷ hypotenuse

Rounded to the nearest hundredth the answer is 0.670.

We know

[tex]\boxed{\sf cos\Theta=\dfrac{Base}{Hypotenuse}}[/tex]

Now

[tex]\\ \sf\longmapsto cosU=\dfrac{SU}{TU}[/tex]

[tex]\\ \sf\longmapsto cos U=\dfrac{65}{97}[/tex]

[tex]\\ \sf\longmapsto cosU=0.67[/tex]

Kenny has a bag of marbles. The bag contains 8 red marbles, 5 blue marbles, and 2 yellow marbles. He will randomly select 1 marble from the bag. What is the probability Kenny will select a blue marble?

Answers

The probability Kenny would select a blue marble is 1/3.

Use traditional division to solve 6432 ÷ 24.

Answers

Ok done. Thank to me:>

Answer:

(not my answer but) its 268

Step-by-step explanation:

100 Point question answered ASAP for brainliest!

Answers

Step-by-step explanation:

that is really easy too easy for that many points.

it is truly simple :

the graph (and with it the function) is shifted down by 3 units.

that means everything of the function stays the same, just the functional results are consistently lowered by 3.

so, g(x) = f(x) - 3 = -2x² - 7 - 3 = -2x² - 10

that is really all there is to it.

how many 2 digit combos can you make with numbers 1, 2, and 3?

Answers

Answer:

9 i believe

Step-by-step explanation:

11

12

13

21

22

23

31

32

33

please answer quickly!!​

Answers

Answer:

Slope: 4

Intercept: 9

Step-by-step explanation:

Hope this helped! :)

a rectangular patio has an area of 198.4 square meters the width of the patio is 16 meters what is the length

Answers

Step-by-step explanation:

the answer thats it 12,4

Answer:

  12.4 meters

Step-by-step explanation:

The area is the product of length and width. Fill in the given information in the formula and solve for length.

  A = LW

  198.4 = L×16

  198.4/16 = L = 12.4

The length of the patio is 12.4 meters.

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