Date:
On
a
farm, there were a total of 440 goats, ducks and chickens.
The number of ducks
was
of the number of chickens. After 1/2 of the goats and of the 1/2 ducks were released, there was a total of 320 goats, ducks and chickens left. Find the number of goats
farm at first.

Answers

Answer 1

Answer:

Step-by-step explanation:

Because we have 3 unknowns, we need to come up with 3 equations. If the total number of animals is 440 and that number is made up of a combination of goats (g), ducks (d), and chickens (c) the first equation is

g + d + c = 440

The next equation is found in the fact that the number of ducks is one-quarter the number of chickens:

[tex]d=\frac{1}{4}c[/tex] and solving for c gives us that

c = 4d

The last equation says that of the total number of animals, 440, half the goats and half the ducks got away, leaving only 320 animals behind. The last equation, the tricky one, is:

[tex]440-\frac{1}{2}g-\frac{1}{2}d=320[/tex] and simplifying that:

[tex]-\frac{1}{2}g-\frac{1}{2}d=-120[/tex] and because nobody hates fractions more than I do, I'm going to get rid of them by multiplying everything by 2 to get:

-g - d = -240

We've got these equations now, but what I'm going to do is to sub in what c equals (c = 4d) for c in the first equation:

 g + d + 4d = 440 and

 g + 5d = 440 and pair that with the one right above:

-g -  1d = -240 and use elimination to solve. The g's cancel each other out, leaving us with 4d = 200 and d = 50. So there were 50 ducks originally. Now we will sub that in to solve for c:

c = 4d so

c = 4(50) and

c = 200. Now we will sub both those values into the very first equation we put together to solve for g:

g + 200 + 50 = 440 and

g + 250 = 440 so

g = 190.

Add them all together just to be sure we have the 440 that we were told we had in the beginning (and we do, so we're all done!)


Related Questions

a man bought second hand bicycle for rs 1120 and spend rs160 to repair it. he sold it for rs1344, find his profit or loss percent ​

Answers

Answer:

5 %

Solution,

Total Cost price (CP) = Rs 1120 + Rs 160

= Rs 1280

Selling Price (SP) = Rs 1344

Here,

SP > CP , so he made profit.

Amount of profit = SP - CP

= Rs 1344 - Rs 1280

= Rs 64

Now, finding the profit percent,

Profit %=[tex] \frac{profit \: }{cp} \times 100 \: percent[/tex]

[tex] \frac{64}{1280} \times 100 \: percent[/tex]

[tex]5 \: percent[/tex]

Profit percent = 5%

Hope this helps...

Good luck on your assignment...

1) Which of the following is a surd ? a) 64 b) 6 root 64 c) 4 root 64 d) 3 root 64

Answers

Answer:

  [tex]\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}[/tex]

Step-by-step explanation:

[tex]\text{a) }64\qquad\text{an integer; not a surd}\\\\\text{b) }\sqrt[6]{64}=2\qquad\text{an integer; not a surd}\\\\\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}\qquad\textbf{a surd}\\\\\text{d) }\sqrt[3]{64}=4\qquad\text{an integer; not a surd}[/tex]

help me quickly please!!! what is the area of the composite figure if line AB is congruent to line BC which is congruent to line CD which is congruent to line DA which is congruent to DN?
(2pi+28)mm^2
(2pi+32)mm^2
(2pi+40)mm^2
(2pi+48)mm^2

Answers

Answer: Choice C. 2pi+40 square mm

======================================================

Work Shown:

Segments AB, BC, CD, DA, and DN are all the same length (4 units)

The semicircle has area of

A = (1/2)*pi*(radius)^2

A = 0.5*pi*2^2

A = 2pi

The square has area of

B = (side length)^2

B = 4^2

B = 16

The trapezoid has area of

C = (height)*(base1+base2)/2

C = (DN)*(CD+MK)/2

C = (4)*(4+8)/2

C = 24

Add up the results of A, B and C to get the total area

A+B+C = 2pi+16+24 = 2pi+40

The total area is 2pi+40 square mm

The area of the figure will be 2π + 40 mm². Then the correct option is C.

What is the area?

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The figure is made by semicircle, square, and trapezium. Then the area is given as,

A = Area of a semicircle + Area of square + Area of trapezium

A = (π / 2) x r² + (AB)² + 1/2 x (CD + MK) x DN

A = (π / 2) x 2² + (2 x 2)² + 1/2 x (4 + 8) x 4

A = 2π + 16 + 24

A = 2π + 40 mm²

The area of the figure will be 2π + 40 mm². Then the correct option is C.

More about the area link is given below.

https://brainly.com/question/27683633

#SPJ7

In the figure, triangle ABC is similar to triangle APQ. Therefore, the value of x is , and the value of y is

Answers

Answer:

the same

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 70 degrees.

All triangles have 180 degrees.

So ABC has 180 degrees.

70 + 50 + ACB = 180 Combine like terms

120 + ACB = 180 Subtract 120 from both sides

ACB = 180 - 120

ACB = 60

y = ACB

y = 60 degrees

A bag contains orange, purple, and blue marbles. If a marble is selected at random from the bag, the probability it is orange is 0.2, the probability it is purple is 0.3, and the probability it is blue is 0.5. Which colour marble is most likely to be selected? Explain.

Answers

Answer:

blue marble

Step-by-step explanation:

Probability is how likely something is to happen. Between the three colors, blue has the greatest probability, meaning it will most likely be selected.

0.5 > 0.2

0.5 > 0.3  

A rectangle has the sides: 7cm and 3cm. A square has the same perimeter as the rectangle. What is the side length if the square

Answers

Answer:

5

Step-by-step explanation:

Perimeter of the rectangle: 3+7+3+7=20

Square perimeter is same as rectangle, so square perimeter is also 20.

Side length is 20/4, which is 5

Find the y-intercept of the parabola y = x2 – 8.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit

Answers

Answer:

-8.

Step-by-step explanation:

You can get the y-intercept when you find the y-value when x = 0.

y = x^2 - 8

y = 0^2 - 8

y = 0 - 8

y = -8

So, the y-intercept is -8.

Hope this helps!

Answer:

y = -8, if x2 mean 2 times x.

y = -7, if x2 mean X^2

Step-by-step explanation:

Y-intercept mean x = 0.

Plug x = 0, into the parabola, you get the answer.

f(x) = 3x + 2
What is f(5)?

Answers

Answer:

17

Step-by-step explanation:

3(5) + 2 = 15 + 2

= 17

Therefore x= 17

Answer:

[tex]\huge\boxed{f(5)=17}[/tex]

Step-by-step explanation:

[tex]f(x)=3x+2\\\\f(5)=?\\\\\text{substitute}\ x=5\ \text{to}\ f(x):\\\\f(5)=3(5)+2=15+2=17[/tex]

Is Triangle ABC cong Triangle DEF? If so name the postulate that applies

Answers

Answer:

D. Congruent - SAS

Step-by-step explanation:

Two sides and the included angle of a triangle are congruent to the corresponding parts of another triangle.

The triangles are congruent by SAS.

Pleaaaaase help!!!!​

Answers

Answer:

see below

Step-by-step explanation:

sqrt(20)

sqrt(4*5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(4) sqrt(5)

2 sqrt(5)

Answer:

We can factor down 20 with it's greatest prime GCF, which is 5. We get a 4. When we factor that down the same way, we get 2. If we repeat that process, we get 5, 2, and 2, which turns into [tex]2\sqrt{5}[/tex].

Simplify: ( ++)2 + ( −+)2 + ( +−)2

Answers

Answer:

[tex]-2[/tex]

Step-by-step explanation:

[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]

[tex]++ = +[/tex]

[tex]-+ = -[/tex]

[tex]+- = -[/tex]

[tex]( +)2 + ( -)2 + ( -)2[/tex]

[tex]2-2-2[/tex]

[tex]=-2[/tex]

Simplify the following expression: (1 point) 2x − 2y + 5z − 2x − y + 3z

Answers

Answer: -3y + 8z

Step-by-step explanation:

2x -2x = 0

-2y + - y= -3y

5z + 3z= 8z

-3y + 8z

The expression 2x − 2y + 5z − 2x − y + 3z is simplified as − 3y + 8z.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 2x − 2y + 5z − 2x − y + 3z

Simplify the expression, then we have

⇒ 2x − 2y + 5z − 2x − y + 3z

⇒ 2x − 2x − 2y − y + 5z + 3z

⇒ 0 − 3y + 8z

⇒ − 3y + 8z

The expression 2x − 2y + 5z − 2x − y + 3z is simplified as − 3y + 8z.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

What is the slope of the line through (-2,-6)and (2,2)

Answers

Answer:

Y2-y1/x2-x1

=2-(-6)/2-(-2)

=8/4

=2

Step-by-step explanation:

Given two points of a line to find the slope we use the formula; y2-y1/x2-x1 Hence the answer above.

How can we interpret the independent or conditional probability of two events?

Answers

Hello!

A conditional probability can always be computed using the formula in the definition. Sometimes it can be computed by discarding part of the sample space. Two events A and B are independent if the probability P(A∩B) of their intersection A ∩ B is equal to the product P(A)·P(B) of their individual probabilities.

Hope this helps.

How to solve the equation 4×3−15÷3×2+1

Answers

Answer:

3

Step-by-step explanation:

We use Order of Operations BPEMDAS.

Step 1: Multiply

12 - 15/3(2) + 1

Step 2: Divide

12 - 5(2) + 1

Step 3: Multiply

12 - 10 + 1

Step 4: Subtract

2 + 1

Step 5: Add

3

Answer: 3

Step-by-step explanation:

PEMDAS

P: No parenthesis

E: No exponents

M and D: 4x3 = 12(12-15÷3×2+1), 15÷3 = 5(12-5×2+1), 5*2 = 10(12-10+1)

A and S: 12-10 = 2(2+1), 2+1=3(3)

The probability that Stu buys a sandwich is 0.5.
The probability that Stu gets the bus is 0.7.
Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?

Answers

Answer:

probability that Stu buys a sandwich and gets the bus = 0.35

Step-by-step explanation:

Probability of success of two independent events is the product of the respective probabilities, i.e. the multiplication rule.

P(Sandwich) = P(S) = 0.5

P(Bus) = P(B) = 0.7

Assuming the events are independent,

probability that Stu buys a sandwich and gets the bus

= P(SB) = P(S)*P(B) = 0.5*0.7 = 0.35

Answer: 0.35

Step-by-step explanation:

First there is a 50% chance, or a 0.5 chance that Stu gets a sandwich.  Then, ignoring the other .5, there is a .7 chance that he makes the bus.  Thus, 1/2 of .7 is 0.35.

Hope it helps <3

In a geometric series, the first term is 108 and the common ratio is \frac{2}{3}. Find the sum of the first 8 terms.

Answers

Answer:

311.36

Step-by-step explanation:

For  a geometric series sum of first n terms is [tex]a(1-r^n)/(1-r)[/tex]

if r is less than 1.

where a is the first term and r is the common ratio.

____________________________\

given

a = 108

r = [tex]\frac{2}{3}.[/tex]

n = 8

thus , sum of n term is

[tex]a(1-r^n)/(1-r)\\=>108(1-(2/3)^8)/(1-2/3)\\=> 108 (1 - 256/6561)/1/3\\=> 108(6561-256)/ 6561/1/3\\=> 108(6305)/2187\\=>311.36[/tex]

Thus sum of first 8 terms is 311.36

Write a polynomial f(x)that satisfies the given conditions,
Polynomial of lowest degree with zeros of - 4 (multiplety 1), 3 (multiplicly 3), and with f(0)= 216,

Answers

Answer:

[tex]\boxed{\sf \ \ \ -2(x+4)(x-3)^3 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

let's note k a real, we can write the polynomial as

[tex]k(x-(-4))^1(x-3)^3=k(x+4)(x-3)^3[/tex]

and we know that f(0)=216 so

[tex]216=k(0+4)(0-3)^3=k*4*(-1)^3*3^3=-27*4*k=-108k\\\\<=> k=-\dfrac{216}{108}=-2[/tex]

So the solution is

[tex]-2(x+4)(x-3)^3[/tex]

hope this helps

If the sequence 3, 3, 6, 9, 15, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

Answers

Answer:

24, 39, 63

Step-by-step explanation:

The next 3 terms are 9 + 15 = 24, 15 + 24 = 39, and 24 + 39 = 63.

Answer:

3: 3+3=6,3+6=9,6+9=15

Step-by-step explanation:

Then the sequence will be (... 24,39,63,...)

TEN POINTS !!!!1 . Type the correct answer in the box. Simplify this expression:

Answers

Answer:

1

Step-by-step explanation:

Add the exponents of the as inside the parenthesis.

8+6 =14

Power to a power = multiplication of exponents.

14 times 1/7 = 2

[tex]\frac{a^2}{a^2}[/tex] When you divide, subtract exponents.

2-2 = 0

Any number to the zeroth = 1

The answer is 1.

2 Points
Classify the following triangle. Check all that apply.
A. Scalene
B. Isosceles
C. Right
D. Equilateral
E. Acute
F.Ootuse

Answers

Answer:

D and F

Step-by-step explanation:

Answer:

b isosceles and e acute

Jordan lives 6 kilometers due south of his parents' house and 4 kilometers west of his grandparents' house. On his birthday, Jordan drove from his house to his parents' house. From there, he drove in a straight line to his grandparents' house and then back home. How far did Jordan drive on his birthday? If necessary, round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus

d² = 6² + 4² = 52

d = √52 = 7.2 km

The total distance that he drove on his birthday is

6 + 4 + 7.2 = 17.2 km

Please help me thanks I’ll mark good

Answers

Answer:

A. 4^15.

Step-by-step explanation:

When a power of a number is then raised to a power, the powers multiply. So, this would be 4^(3 * 5) = 4^15. A.

Hope this helps!

Figure 6.21
From knowledge of the sum of the angles
at a point.
b By calculating the sizes of the angles of a
regular octagon using the (n - 2) × 180°
formula​

Answers

Answer:

L

Step-by-step explanation:

360 hhjnjjuffdsaadt

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).
Which point is on the line that passes through point R and is perpendicular to line PQ?

(–6, 10)
(–4, –8)
(0, –1)
(2, 4)

Answers

Answer:

(–4, –8) im positive

Step-by-step explanation:

plz give brainliest

The point (-4, -8) is on the line that passes throgh point R and perpendicular to line PQ option (B) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

Line P Q goes through (-6, 4)  and (4, -4).

Point R is at (4, 2).

To find the point on the line that passes through (4, 2) and is perpendicular to line PQ.

First, calculate the slope of the line PQ:

[tex]\rm m =\dfrac{-4-4}{4-(-6)}[/tex]

m = -8/10

m = -4/5

The slope of the perpendicular to the line PQ:

M = -(1/m)

M = 5/4

The equation of the line has a slope 5/4 and passes through point R

y - 2 = (5/4)[x - 4]

Plug x = -4

y = -8

-8 - 2 = (5/4)[-4 - 4]

-10 = (5/4)[-8]

-10 = -10 (true)

Thus, the point (-4, -8) is on the line that passes throgh point R and perpendicular to line PQ option (B) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ5

The height of a tree at time t is given by h(t) = 2t + 3, where h represents the height in inches and t represents the number of months. Identify the independent and the dependent variables.

Answers

Answer:

Step-by-step explanation:

You see that 't' is the 'argument' or 'input' to h:  h(t).  It is always safe to assume that t is the independent variable and h is the depend

Question 1) While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars Question 2) To fit between two windows, the width of a bookshelf must be no greater than Six and one half feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows? Question 3) Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate? 1 mile 1,609 meters.

Answers

Pharrell Williams produced most of Justin Timberlakes critically acclaimed debut solo album Justified.

Find the measure of each angle: Complementary angles with measures (5x)° and (4x−18)°

Answers

Answer:

60° and 30°

Step-by-step explanation:

Since they are complementary, the 2 equations add up to 90°

5x + 4x - 18 = 90

9x - 18 = 90

9x = 108

x = 12

Simply plug in x to find our angles:

5(12) = 60°

4(12) - 18 = 48 - 18 = 30°

Answer:

5x = 60°, 4x - 18 = 30°

Step-by-step explanation:

Sum of complementary angles is 90°.

5x + 4x - 18 = 90

9x = 90+18

9x = 108

x = 12

5x = 5* 12= 60°

4x - 18 = 4*12 - 18 = 30°

The two cones are similar. (a) Write down the value of l. (b) When full, the larger cone contains 172 cm3 of water. How much water does the smaller cone contain when it isfull?

Answers

Answer/Step-by-step explanation:

a. Since both cones, as shown in the figure attached below, are similar, 11/8 = l/4

Cross multiply to find l

4*11 = 8*l

44 = 8l

l = 44/8

l = 5.5cm

b. Given the slant height and diameter of cone, volume of cone can be calculated using the formula ⅓πr²*√(l² - r²)

Where, r = diameter ÷ 2 = 4/2 = 2cm

l = 5.5cm

Volume of smaller cone = ⅓*3.142*2²*√(5.5² - 2²)

= ⅓*3.142*4*√30.25 - 4)

= ⅓*12.568*√26.25

= ⅓*12.568*5.124

= 64.40/3

Volume of small cone ≈ 21.5 cm³

Quadrilateral rust has a vertex (2,4). What are the coordinates of r' after a dilation of scale factor 3, centered at the origin, followed by translation (x,y) to (x+4,y)

Answers

Answer:

The coordinates of r' are x = 10 and y = 12.

Step-by-step explanation:

The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:

Dilation with respect to origin

[tex](x',y') = (0,0) + 3\cdot (x,y)[/tex], [tex]\forall \,x,y \in \mathbb{R}[/tex]

Translation

[tex](x',y') =(x+4,y)[/tex], [tex]\forall\,x,y\in \mathbb{R}[/tex]

If [tex]x = 2[/tex] and [tex]y = 4[/tex], then:

1) [tex](2,4)[/tex] Given.

2) [tex](0,0) + 3\cdot (2,4)[/tex] Dilation with respect to origin.

3) [tex](6,12)[/tex] Vectorial sum and scalar multiplication.

4) [tex](6+4,12)[/tex] Translation.

5) [tex](10,12)[/tex] Vectorial sum. Result.

The coordinates of r' are x = 10 and y = 12.

Answer:

10,12 is the answer

Step-by-step explanation:

I just did it on a p e x

Other Questions
Factor 2x^2+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors What is the relationship between setting and mood? A.A story's mood is impossible to identify if the author does not describe thesetting. B.A story's mood is usually suggested or created by details about the story'ssetting C.Setting details determine the mood of all the main characters D.Setting has nothing to do with mood-mood is how the characters feel. an iscoclees triangle may be right or acute but never obtuse A conducting sphere 45 cm in diameter carries an excess of charge, and no other charges are present. You measure the potential of the surface of this sphere and find it to be 14 kV relative to infinity. Find the excess charge on this sphere. Read this excerpt from a concluding paragraph Jason has drafted from his research outline on the hazards of playing football and answer the question. (1)It is not likely that proposals to ban professional football will be successful. (2)Professional football will continue to be a part of American culture. (3)The NFL is a multibillion dollar business, and it has the support of millions of fans who will insist that this sport endure. (4)At the same time, it would be reckless, irresponsible, and heartless of the NFL to disregard statistics that relate to players' health. (5) Make no mistakethere is evidence that concussions caused by head injuries are on the increase. (6)The creation of more regulations to govern conduct on the field is not the best solution. (7)Experience has shown that players are willing to risk being fined if a prohibited action will enable them to successfully complete a play. (8)_________, referees can find reasons to avoid making judgment calls to enforce the rules. (9)Spectators are not interested in making football nothing more than a series of controversies over referee decisions. Which transition would best begin sentence 8? A) Hence allows a response to the causes of banned actions by players in sentence 6 with the effect brought about by referees. B) In addition continues the logic of sentence 6 that points out the ineffectiveness of increasing the number of legal restrictions that must be enforced. C) Then again contrasts referees' decisions with the suggestion in sentence 6 that those players willing to face a penalty for violating a rule may be fined. D) Together links player's risks proposed in sentence 6 with those faced by referees who may choose to ignore illegal plays. Simplify: | 4 - 34| \ 4 6 - 12 - 14 a. 4 b. 11/2 c. 1/4 d. 11/8 Find the error in the following sentences:1. Because fragments make it hard to understand your sentence2. Proofreading your writing can be very interesting you can find out what you have written. 3.While procrastinating and worrying, the exam came closer and closer.4.The essay had to be handed in to the lecturer that had to be a certain length.5. Students has to have a good understanding of grammar.6. Anyone who has not done their grammar assignment must have had something better to do.7. Studying can be exciting, rewarding and sometimes really annoyed.8. The only excuse their was , was that there exam had started early.9. When you use an apostrophe, make sure you know its proper use. Its often used incorrectly.10. The student didn't get no marks for the assignment. g Donalds employer fires Donald after only four months on the job, a clear breach of Donalds written twelve-month employment contract. Donald is entitled to recover as damages: Garcia Company has 10,400 units of its product that were produced last year at a total cost of $156,000. The units were damaged in a rainstorm because the warehouse where they were stored developed a leak in the roof. Garcia can sell the units as is for $3 each or it can repair the units at a total cost of $18,400 and then sell them for $7 each. Calculate the incremental net income if the units are repaired Find the missing segment in the attached image If the particles of matter that make up a substance are relatively far apart and can move freely, the substance is in what state?gaseousliquidsolid Do you see many connections between the work that dispatchers, harbor pilots, yardmasters, and air traffic controllersdo? Why or why not? Explain why you think their salaries vary so much. from which document does the idea of world revolution come Suppose that the presidents of two auto manufacturing companies exchange text messages in which they discuss jointly raising prices on their new lines of hybrid SUVs. Which law does this illegal communication violate? Wie sagt mann: "Oh my god, not again. Please god no." auf deustch? Denn es ist fr meine freunde. Zu lustig sein, ja? Ist. Ist meine grammar richtig? Solve the algebraic expressio (0.4)(8)2 Two characters on the "Star Trek" television series, Mr. Spock and Commander Data, are completely logical. They make their decisions on the basis of realistic considerations, not emotions or moral judgment. They also show no emotions, ever. A psychotherapist would describe their affect asnalities are entirely ____ a closet of towels contains exactly 10 white towels. the probability of choosing a white towel from the closet is 2/5. how many of the towels in the closet are not white? "The assumption that is necessary for a linear programming model to be appropriate and that ensures that the value of the objective function and the total resources used can be found by summing the objective function contribution and the resources used for all decision variables is known as" Elijah created the scatterplot to show the relationship between the temperature in degrees Fahrenheit and the number of visitors to a zoo. A graph titled Temperature versus Zoo Visitors has Degrees Fahrenheit on the x-axis, and Visitors on the y-axis. Points are at (70, 100), (77, 96), (90, 75), (93, 73), (98, 60). Which is true regarding the data in his scatterplot? As the temperature increases, the number of visitors decreases. As the temperature increases, the number of visitors increases. As the temperature increases, the number of visitors remains the same. As the temperature increases, the number of visitors increases then decreases.