An experiment involving learning in animals requires placing white mice and rabbits
into separate, controlled environments, the environment I and environment II.
The maximum amount of time available in the environment I is 500 minutes, and the maximum
amount of time available in environment II is 600 minutes.
The white mice must spend 10 minutes in environment I and 25 minutes in environment II, and
the rabbits must spend 15 minutes in environment I and 15 minutes in environment II. Identify which set of constraints and objective function is correct? x=white mice and y=rabbits

Answers

Answer 1

Answer:

Kk Kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer 2

Following are the calculation to the given question:

Suppose x represents a number of white mice while y denotes the number of bunnies.10 minutes is the time needed by mice in habitat 1.15 minutes is indeed the time required by the rabbit in habitat 1.Overall time needed [tex]= 10x + 15y[/tex]In environment 1, the maximum allowed time is 500 minutes.

[tex]\bold{10 x +15y \leq 500}[/tex]

Likewise,

Mice need 25 minutes in environment 2 to complete their tasks.15 minutes is indeed the time taken by a rabbit in environment 2.Overall time needed [tex]= 25x + 15y[/tex]In environment 2, the maximum amount of time accessible is 600 minutes.

Hence, the answer is  " [tex]\bold{25x +15y \leq 600}[/tex]".

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Related Questions

the double number line shows that 4 bottles of water cost 10 dollars at a music festival ​

Answers

Answer:

That means that each water is $2.50, das crazy tho

Step-by-step explanation:

The Akashi bridge in Japan Is about one and 4/9 times as long is the Golden Gate Bridge in San Francisco the Golden Gate bridge is 9000 feet long about how long is the Akashi-Kailua bridge?

Answers

Akashi- Kailua bridge height is 13000 feet.

What is a fraction?

A fraction is expressed as a quotient, in which the numerator is divided by the denominator.

Example:

1/2, 4/5.

We have,

Golden Gate Bridge height = 9000 feet

Akashi bridge's height= 1 and 4/9 times as long as Golden Gate Bridge

Here,

1 and 4/9 times can also be written as:

1 4/9 = 13/9 x 9000  

or

1 x 9000 + 4/9 x 9000

The height of the Akashi bridge:

= 1 x 9000 + 4/9 x 9000

= 9000 + 4 x 1000

= 9000 + 4000

= 13000 feet

Thus the height of the Akashi bridge is 13000 feet.

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You have 40 cups of milk you need 1.25 cups to make one serving of deep fried chicken. How many servings can you make

Answers

40 cups of milk

1.25 cups of milk makes 1 serving

40 divided by 1.25 is 32

You can make 32 servings

:)

Help please I’ll give you brainly and extra points

Answers

Answer:

It's a non-linear graph

During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run. If the actual length of the rope is 12 1/2 feet, what is the scale used in the drawing?

Answers

Answer:

[tex]\frac{1}{96}[/tex]

Step-by-step explanation:

First convert the feet two inches.

12.5 * 12 = 150 inches.

To find the scale used in the drawing, we divide the radius of the circle in the drawing, by the actual radius.

1[tex]\frac{9}{16}\\[/tex] / 150 = 1/96

The scale of the drawing is 1/96 of the actual length

PLEASE HELP ME????!!!?

Answers

Step-by-step explanation:

what is the question ?

check everything that applies to the angles 1 and 2 ?

in that case :

two angles are adjacent angles, when they share a vertex and side.

so, yes, adjacent angles is true

vertical angles are angles that are opposite of each other when two lines cross.

so, no, vertical angles is false.

two angles are complementary, when they are adjacent and have combined 90°.

so, yes, complementary angles is true.

2 angles are supplementary, when they are adjacent and have combined 180°.

so, no, supplementary angles is false.

a linear pair of angles is basically the same as supplementary angles.

they are formed when two lines intersect each other (at a single point). The angles at the intersection point are linear if they are adjacent to each other, and their sum is always equal to 180°.

so, no, linear pair is false.

Let U​ = { 14​, 15​, 16​, 17​, 18​, 19​, 20 ​},
A​ = { 16​, 17​, 18​, 19 ​}.
Use the roster method to write the set A′.

Answers

Complement of A set in roster form will be {14,15,20}.

U​ = { 14​, 15​, 16​, 17​, 18​, 19​, 20 ​},

A​ = { 16​, 17​, 18​, 19 ​}.

A'= {14,15,20}

A set is mathematically represented in a straightforward way using roster notation. The elements (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set contains more than one element, a comma is used in a roster notation to indicate the separation of every two elements. A list of the elements of a set, each separated by a comma, enclosed in a set of curly brackets, can be used to describe the contents of the set. Roster form is the term for this method of setting forth a set.

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This one as well please

Answers

Answer:

1/11

Step-by-step explanation:

If there are 11 counters and there's only 1 white one, that makes it to where there's only a 1 in 11 chance of you choosing that one white counter.

will mark brainliest. Simplify: 2/3 - 3/2 3^2 - 17/3

Answers

Answer:

−2648/529

Decimal: -5.005671

-1/4


hope this helps!!!

What is the converse of the following statement?
If a whole number has 0 as its last digit, then the number is evenly divisible by 10.

A. If a whole number is divisible by 10, then it is an even number.

B. If a number is evenly divisible by 10, then it is a whole number.

C. If a number is evenly divisible by 10, then it is a whole number that has 0 as its last digit.

D. If a whole number has 0 as its last digit, then it must be evenly divisible by 10

Answers

The statement which is a converse of the given statement as in the task content is; Choice C. If a number is evenly divisible by 10, then it is a whole number that has 0 as its last digit.

What is the converse of the statement given in the task content?

The converse of a statement is a rearranged form of the statement in which case, the premise and conclusion switch sides. Hence, the converse of a mathematical statement still connotes the same meaning.

On this note, the converse of the statement in this case is; Choice C; If a number is evenly divisible by 10, then it is a whole number that has 0 as its last digit.

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The minimum possible value of the chi-squared test statistic, Χ2 = 0, would occur if the observed count is:________.
a. more than the expected count in each cell.
b. less than the expected count as often as it is more than the expected count.
c. equal to the expected count in each cell.
d. less than the expected count in each cell.
e. equal to the expected count overall.

Answers

Answer:

a

Step-by-step explanation:

FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping.The Big Chill charges $2.75 for a large cup of frozen yogurt and $1.25 for each topping. The graph represents the relationship between the number of toppings, x, and the total costof a large cup of frozen yogurt, y, at the two stores. For what total cost are the number of toppings the same at both stores?

Answers

Answer:

The total cost is $3.00 when the number of toppings is the same at both stores.

Step-by-step explanation:

The graph that is supposed to be shown to you shows they intersect half way between the 2 and 4. That means they intersect at 3 which makes the answer $3.00.

9/15divided by 10/15

Answers

Answer:

Your answer is 9/10 or 0.9

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

9

15

÷

10

15

=  

9

15

×

15

10

=  

9 × 15

15 × 10

=  

135

150

=  

135 ÷ 15

150 ÷ 15

=  

9

10

2) Jamar buy a puppy from the Pet Store for $550 and the sales tax is 7%. What is the total price?

Answers

Answer:

Step-by-step explanation:

550.00x.07=38.50

550.00+38.50=588.50

rational numbers
-2 + -([tex]\frac{1}{2}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{5}[/tex])

a)-[tex]\frac{1}{30}[/tex]

b)[tex]\frac{-29}{30}[/tex]

c)[tex]\frac{29}{30}[/tex]

d)1[tex]\frac{1}{30}[/tex]

Answer in fraction

Answers

The fraction is simplified to - 29/30 . Option B

What is a fraction?

A fraction is simply known as the part of a whole.

Types of fractions;

Mixed fractionsSimple fractionsProper fractionsImproper fractions

Given the fraction;

-2 + ( 1/ 2 + 1/ 3 + 1/ 5 )

Find the lowest common multiple

- 2 + (  15 + 10 + 6 /30 )

-2 + ( 31/30)

expand the bracket by finding the lowest common multiple, we have;

-60 + 31 / 30

Add the numerators

- 29/30

Thus, the fraction is simplified to - 29/30 . Option B

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Calculate the radicand of f(x)=x^2+20x+97 and state what it tells you about the roots of the function. Then solve the function using the quadratic formula.

Answers

Answer: The roots are x=-10 +- root 3.

Step-by-step explanation:

Which expression is equivalent to 5(2y + 8) − 4y ?



A. 6y + 40


B. 6y + 8


C. 14y + 40


D. 14y + 8

CMON PLEASE ITS TIMED.

Answers

Answer:

I also think its A.

Step-by-step explanation:

10y + 40- 4y

(10y-4y)+40

6y+40

Joey made a deposit into
an account that earns 6%
simple interest. After 3
years, Joey had earned $400.
How much was Joey’s initial
deposit? __________________

Answers

Answer : $ 335.85

Step-by-Step Explanation:

Antonio bought a box of cookies for $3.84.
If there are 24 cookies in the box, how much did Antonio pay per cookie?

Explain your thinking using 3-5 complete sentences.

Answers

Answer:

24 cookies in a box, and it costs 3.84. since the whole thing costs 3.84, to find the unit rate of each cookie, you need to divide the price by the amount of cookies. 3.84 divided by 24 is equal to 0.16. so the price per cookie would be 16 cents.

that's how you find the answer, maybe try to reword it to get the 3-5 sentences you need.


1. What is the best estimate for the
product of 37 and 19?

Answers

Answer: 800.

Step-by-step explanation: Round them both to the nearest ten. That is 40x20.

Answer:

2

Step-by-step explanation:

40/20=2

A recipe for chocolate chip cookies with toffee bits and walnuts serves 8 people and needs 3 cups of flour. If Zachary wants to make the recipe for 14 people, how many cups of flour should he use?

I will mark you as the brainliest IF answered correctly.

Answers

Answer:

Im pretty sure it's 5.25 cups of flour

Step-by-step explanation:

so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy

For the equation

8/3=14/x

The cross product is

8*x=3*14

Solving for x

x=3×14/8

and reducing

x=5.25

Add the polynomials as indicated. (x² +9x-7) + (-4x²-3x+1)+(x²-x-3)​

Answers

Answer:−

2

x

2

+

5

x

9

Step-by-step explanation:

Answer:

Answer = -2x^2 + 5x - 9

Step-by-step explanation:

First add the x^2 terms :

> x^2 - 4x^2 + x^2

> - 3x^2 + x^2

> -2x^2

Then add the x terms :

> 9x - 3x - x

> 6x - x

> 5x

Then lastly add the last terms :

> -7 + 1 - 3

> -6 -3

> -9

= -2x^2 + 5x -9

Pleasee help ASAP I’m begging u plssss

Answers

B, y=mx+b
b will always be the y intercept while is the slope

translate the sentence into an inequality.
The product of x and 3 is greater than -25.

Answers

Answer:

x · 3 > -25

I hope that this helped!

Answer:

x · 3 > -25

Step-by-step explanation:

What is the solution to -(6 m + 8) = 4(17 - m )?

Answers

Answer:

-38

Step-by-step explanation:

-(6m+8)=4(17-m)

-6m-8=68-4m

-8-68=-4m+6m

-76=2m

m=-76/2

m=-38

-(6m+8)=4(17-m)
-6m-8=68-4m
-8-68=-4m+6m
-76=2m
-76/2=m
-38=m

hope this helped

What is the slope? (5,6) and (-1, 4)

Answers

Answer:

1/3

Step-by-step explanation:

y2-y1/x2-x1

4-6/-1-5

-2/-6

1/3

Answer: 1/3 would be the slope of (5,6) and (-1,4)

Find the value of x.

Answers

Answer:

27.5

Step-by-step explanation:

Answer:

(8-2)180

6*180= 1080

1080- 119- 140- 124- 132- 132- 102 = 331

6x +6x = 331

12x= 331

x= 27.5833

6(x)= 165.5

165.5 +165.5 + 119+ 140 + 124+ 132 + 132+ 102= 1080

-6x+15=45
what does x equal/

Answers

Answer:

6x Would not be considered as a answer but it is known as a unknown so the answer would be -60

Step-by-step explanation:

This is because it is

please help me out here boys (girls aswell) very important to me

Answers

Answer:

A reflects over the Y-axis, and B reflects over the x-axis.

Step-by-step explanation:

im a girl btw lol not a boy so sorry

what is 2+2? PLEASE HELP FOR BRAINLIEST

Answers

Answer:

4

Step-by-step explanation:

simple

2+2=4

Hope that helps
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