Bacteria of species A and species B are kept in a single environment, where they are fed two nutrients. Each day the environment is supplied with 10,560 units of the first nutrient and 31,510 units of the second nutrient. Each bacterium of species A requires 2 units of the first nutrient and 5 units of the second, and each bacterium of species B requires 1 unit of the first nutrient and 6 units of the second. What populations of each species can coexist in the environment so that all the nutrients are consumed each day? Incorrect: Your answer is incorrect. Of species A

Answers

Answer 1

Answer:

We require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day

Step-by-step explanation:

Let n₁ be the population of A required and n₂ be the population of B required.

Now we require 2 units of the first nutrient for species A and one unit of the first nutrient for species B. The total nutrients required by species A is 2n₁ and that by species B is 1n₂ = n₂. So, the total nutrients required by both species A and B is 2n₁ + n₂. Since this equals the quantity of the first nutrient which is 10,560, then  2n₁ + n₂ = 10,560 (1)

Now we require 5 units of the second nutrient for species A and 6 units of the second nutrient for species B. The total nutrients required by species A is 5n₁ and that by species B is 6n₂. So, the total nutrients required by both species A and B is 5n₁ + 6n₂. Since this equals the quantity of the first nutrient which is 31,510, then  5n₁ + 6n₂ = 31,510 (2).

So, we have two simultaneous equations which we would solve to find the populations of A and B which satisfy both equations.

2n₁ + n₂ = 10,560  (1)

5n₁ + 6n₂ = 31,510 (2)

From (1) n₂ = 10,560 - 2n₁ (3)

Substituting equation (3) into (2), we have

5n₁ + 6(10,560 - 2n₁) = 31,510

expanding the brackets, we have

5n₁ + 63,360 - 12n₁ = 31,510

collecting like terms, we have

5n₁ - 12n₁ = 31,510 - 63,360

simplifying, we have

- 7n₁ = -31,850

dividing both sides by -7, we have

n₁ = -31,850/-7

n₁ = 4,550

Substituting n₁ = 4,550 into (3), we have

n₂ = 10,560 - 2(4,550)

n₂ = 10,560 - 9,100

n₂ = 1,460

So, we require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day

Answer 2

Number of Bacteria A and Bacteria B = 4550 and  1460 respectively,

Let the number of bacterias of Specie A and Specie B be = x and y respectively.

Given : 2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available

To find : Number of Bacteria 1 and Bacteria 2

Nutrient 1 Constraint Equation : 2x + y = 10560

Nutrient 2 Constraint Equation : 5x + 6y = 31510

Putting the value of y from 1st equation in 2nd equation ;

5x + 6 (10560 - 2x) = 31510

5x + 63360 - 12x = 31510

63360 - 31510 = 7x

7x = 31850  

x = 31850 / 7 = 4550 { Bacteria A}

Putting the value of x in 1st equation,

2 (4550) + y = 10560

9100 + y = 10560

y = 10560 - 9100 = 1460 {Bacteria B}

To learn more, refer https://brainly.com/question/11897796?referrer=searchResults

Bacteria Of Species A And Species B Are Kept In A Single Environment, Where They Are Fed Two Nutrients.

Related Questions

FFDP, "Under and over it"
. who sings this guys

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Answer:

lol

Step-by-step explanation:

Answer:

Five Finger Death Punch

Step-by-step explanation:

Which measure of Center would be most effected if 50 was added to the following data set? 10, 14, 15, 15, 18, 20​

Answers

Answer:

The mean.

Step-by-step explanation:

The mean because 50 is a lot bigger number than the numbers in the list.

The median (the middle number in an ordered list) would still be 15. Also the mode (15) will also stay the same.

The original mean = sum of the 6 numbers divided  by 6

= 92/5 = 15.3.

When 50 is added the mean is (92 + 50) / 7 =  20.3.

Answer:

The mean

Step-by-step explanation:

Because mean is the main measure of center that we solve first before solving the others

Please help me answer number 12

Answers

Answer:

It is same.

The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.

Thank you and please rate me as brainliest as it will help me to level up

Find the measurement

Answers

Answer:

AC = 40

Step-by-step explanation:

AC and BD are equal to each other in length. So:

4x-4 = 3x+7

Now you solve for x. Add 4 to each side.

4x= 3x + 11

Then subtract 3x from both sides.

X = 11. There you have X, now you plug 11 in for x in the AC= 3x+7

3(11) + 7 = AC

33 + 7 = AC

40 = AC

please help please


Which relations are functions? Select all that apply.
A. (3, 2), (-1, 7),(-3, 1), (0.9), (2, -4)
В.
х
-4
-2
у
9
12
15
c
x
1
2
3
4
y
2
4
6
13
D

Answers

Answer:

A and C

Step-by-step explanation:

For any relation to be considered a function, each domain value (x-value) must have exactly one range value (y-value). If a relation contains an x-value that has two or more y-value related/mapped to it, the relation is not a function.

Let's examine each option given.

Option A: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.

Option B: the x-value, 4, has two y-values, 12 and 15 assigned to it. Therefore, the relation is NOT A FUNCTION.

Option C: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.

Option D: the x-value, 1, has two y-values, -1 and 1 assigned to it. Also, x-value, 3, has two y-values, 2 and -2 assigned to it. Therefore, the relation is NOT A FUNCTION.

Can someone plz help me

Answers

Answer:

16.3 N

Step-by-step explanation:

subtract if the forces are opposite

what is the solution 4x-10=x+3x-2x​

Answers

Answer:

x=5

Step-by-step explanation:

I need this answer ASAP

Answers

Answer:

Step-by-step explanation:

Multiply 13*5 is 65

Answer:

I'm pretty sure the answer is 5

Step-by-step explanation:

Write a quadratic equation in standard form with the given roots. Show your work to find the equation. 2, 7

Answers

Answer:

x²-9x+14

Step-by-step explanation:

So the roots are 2,7

So the equation is

(x-2)(x-7)

=x²-2x-7x+14

=x²-9x+14

4 divided by 2/3


pls pls pls pls pls help pls pls

Answers

Answer:

4 divided by 2/3 (4 ÷ 2/3) = 6

Step-by-step explanation:

When you divide one number by another , this is the same as multiplying that one number by the reciprocal of that other number. So a/b = a × 1/b = a × b^-1.

Also a reciprocal is the same as taking something to the power of -1.

When you take the reciprocal of a fraction, just flip the numerator, and denominator.

b^-1 = 1/b.

b^-n = 1/b^n.

(a/b)^-1 = b/a

a/b^-1 = ab

Therefore 4 / (2/3) = 4 × 3/2 = 12/2 = 6.

Answer:

6

Step-by-step explanation: 4  ÷ (2 ÷3)=6

Cindy struck out 7, 14, 6, 4, 5, and 6 batters in softball games this season. In discussing her stats with a newspaper reporter, Cindy's coach mentions that the average number of Cindy's strikeouts is 7. Is the coach's statement misleading? Explain why or why not.

Answers

Answer:

The coach's statement is not misleading because her average strikeouts  is 7.

Where as the coach also tells that it is 7.  

Step-by-step explanation:

The average is taken out by adding the observations and dividing by the total number of observations.

X`= ∑x/n     where n is the number of observations.

Average = 7 + 14 + 6 + 4 +5 +6 /6

Average = 42/6= 7

The coach's statement is not misleading because her average strikeouts  is 7.

Where as the coach also tells that it is 7.  

After every eighth visit to a restaurant you receive a free beverage. After every tenth visit you receive a free appetizer. If you visit the restaurant 100 times, on which visits will you receive a free beverage and a free appetizer? At which visit will you first receive a free beverage and a free appetizer? Drag and drop the correct value into each box to complete the statement. You will receive a free beverage and a free appetizer on the and visits, and you will first receive a free beverage and a free appetizer on the visit.

Answers

Answer:

40th and 80th visit

the first visit where you receive both is the 40th

Step-by-step explanation:

personally, I believe that the simplest way to solve this is use an excel spreadsheet to see which visits would include both a free beverage and a free appetizer:

both rewards would happen only twice, at the 40th and 80th visit.

you can also calculate it mathematically since multiples of 8 and 10 do not repeat themselves very much, only when 8 is multiplied by 5 and 10.

Answer:

Step-by-step explanation:

which expression is equivalent to 8c+6-3c-2

Answers

Answer:5c+4

Step-by-step explanation:

Can yall plz help me answer this!!!

Answers

Answer:

n= -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4n+2=6(

1

3

n−

2

3

)

4n+2=(6)(

1

3

n)+(6)(

−2

3

)(Distribute)

4n+2=2n+−4

4n+2=2n−4

Step 2: Subtract 2n from both sides.

4n+2−2n=2n−4−2n

2n+2=−4

Step 3: Subtract 2 from both sides.

2n+2−2=−4−2

2n=−6

Step 4: Divide both sides by 2.

2n

2

=

−6

2

n=−3

Answer:

n = -3

Step-by-step explanation:

The first step you want to do is try to get rid of those parenthesis and to do that you want to distribute the 6 into 1/3n and 2/3 and you get

4n + 2 = [tex]\frac{6}{3}[/tex]n - [tex]\frac{12}{3}[/tex]

that can be simplified to

4n + 2 = 2n - 4

subtract 2n from both sides and you get

2n + 2 = -4

subtract 2 from both sides

2n = -6

divide both sides by 2 you get

n = -3

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation
(x – 8)2 = 144, x represents the side measure of the original lawn.

Answers

Answer:

The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.

A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.

PLEASE ANSWER FAST

Answers

Answer:

ayy

Step-by-step explanation:

sup

Answer:

12 4/5

Step-by-step explanation:

you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve

what the slope of(12,7) (5,9) ​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]

[tex]slope = \frac{2}{ - 7} \\ [/tex]

[tex]slope = - \frac{2}{7} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]

Step-by-step explanation:

The slope of a line can be found using the following formula:

[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]

Where (x₁,y₁) and (x₂,y₂) are the points on the line.

We are given the points (12,7) and (5,9). Therefore:

[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]

Substitute the values into the formula.

[tex]m=\frac{9-7}{5-12}[/tex]

Solve the numerator.

Subtract 7 from 9 9-7=2

[tex]m=\frac{2}{5-12}[/tex]

Solve the denominator.

Subtract 12 from 5 5-12= -7

[tex]m=\frac{2}{-7}[/tex]

This fraction cannot be reduced further, so it is the answer.

The slope of the line is -2/7

Helpp plzzz!! Identify the corresponding side to side MN.

Answers

Answer:

st i think

Step-by-step explanation:

Answer:

I seem to have learned this, but I just don't remember how to do it? Even if I remember, I don't know how to count it?

What steps would you follow in order to solve the equation?

w/8 - 4 = 20

add 4 on each side and divide by 8
subtract 4 on each side and multiply by 8
add 4 on each side and multiply by 8
subtract 4 on each side and divide by 8

Answers

Answer:

Step-by-step explanation:

w/8-4=20

add 4 to each side

w/8=24

multiply by 8 to clear out the w on one side

w=192

Solve the problem. A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 5 bags of potato chips for $16.25. Another customer buys 5 hot dogs and 4 bags of potato chips for $19.50. Find the cost of each item.
A. $2.75 for a hot dog; $2.00 for a bag of potato chips
B.$2.50 for a hot dog; $1.75 for a bag of potato chips
C.$2.50 for a hot dog: $2.00 fora bag of potato chips
D. $1.75 for a hot dog; $2.50 for a bag of potato chips​

Answers

Answer

ok the answer is C

Step-by-step explanation:

1.75*4=7

.75*2=1.5

7+1.5=8.50

The answer is C because

Please tell me the answer

Answers

Answer:

(-∞,∞) Bottom answer

I hope this helps you with your algebra

Answer:

Infinity

Step-by-step explanation:

Give brainiest to the other guy/girl they deserve it!!

(Hope dis helps!!!)

If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed

Answers

The answer is 4 miles per hour

Denise guessed that the elephant at the zoo weighed 10,000 pounds. It actually weighed 12,400 pounds. Yesia guessed that the hippopotamus weighed 2,500 pounds and it actually weighed 3,600 pounds.Whose guess had the smaller percent error?

Answers

Answer: weight of elephant has smaller percent error.

Step-by-step explanation:

Percent error = [tex]\dfrac{|\text{estimated value -actual value}|}{\text{actual value}}]\times100[/tex]

Estimated weight of elephant  =  10,000 pounds

Actual weight of elephant = 12,400 pounds

Percent error of weight = [tex]\dfrac{|12400-10000|}{12400}\times100\%\approx19.35\%[/tex]

Estimated weight of hippopotamus  =  2,500 pounds

Actual weight of hippopotamus = 3,600 pounds

Percent error of weight = [tex]\dfrac{|2500-3600|}{3600}\times100\%\approx30.55\%[/tex]

Since 19.35 < 30.55

hence, weight of elephant has smaller percent error.

Assume Katelyn's loan was for $5,000 and that she will make 48 monthly payments of $117.42 to repay the loan. How much total interest will she pay over the life of the loan?

Answers

Answer:

Step-by-step explanation:

48*117.42=5636.16

Principle of the loan is $5000. Payback is $5636.16. She pays $636.16 in interest or 12.7232%. I got that by dividing the 636.16 of interest by 5000.

Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much does will Gary have to pay in all? If he has $25, can he afford to purchase the game?

Answers

Answer:

i. $26.16ii.  He cannot afford the video game

Step-by-step explanation:

Step one:

given

selling price = $48

discount is 50%

tax= 4.5%

Step two:

let us first compute the amount in discount

=50/100*48

=0.5*48

=$24

also, let us compute the tax added

=4.5/100*48

=0.045*48

=$2.16

The total amount Garry has to pay is

=48-24+2.16

=$26.16

Step three:

If he has $25, he cannot afford the video game, he will have a deficit of $1.16

Answer: Gary will have to pay $25.08 in all, and if he has exactly $25, he can't afford to purchase the game because he only has $25, and he has to pay $25.08. $25.08 is more than $25, so he can't afford the game.

Step-by-step explanation:

First, subtract the $48 and 50% to find how much the video game costs.

So, $48-50%=24

Then, add the price of the video game, $24, to the 4.5% tax.

24+4.5%=25.08

Thus, Gary will need to pay $25.08 in all.

Given f(x) = 17x - 18, find x when f(x) = 33.

Answers

Answer:

f(x) = 17x - 18

y=17x-18

y=17(33)-18

y=561-18

y=543

f(x)=543

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Plug in 33 for f(x) into the first equation:

33 = 17x - 18

17x = -51

x = -3

4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes?​

Answers

Answer:

560 $

Step-by-step explanation:

4 shoes is 80

so, we have to multiply

$140

Or

£140

You are American so its the first one

Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to no more than $10.00. Which graph represents the number of whole pounds of peaches Albert can buy?

Answers

Answer:

He can buy 5 pounds of peaches.

Step-by-step explanation:

2 pomegranates cost $3.18 so, subtract that from $10.00 and you get $6.82. Multiply the different number of pounds with the cost per pound until you go over $6.82. Then go back a pound and multiply. 5 pounds times $1.19 equals $5.95.

(a2 - b2)/(2 + d3)
a=6
b=4
d= 1 over 2
one of the answers is
A. 28.17
B. 13.18
C. 28.47
D. 10.125
E. 1.975
F. 9.4118

Answers

Answer:

28.47

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

Given

[tex]\frac{a^2-b^2}{2+d^3}[/tex] ← substitute given values into the expression

= [tex]\frac{6^2-4^2}{2+(\frac{1}{2}) ^{3} }[/tex]

= [tex]\frac{36-16}{2+\frac{1}{8} }[/tex]

= [tex]\frac{20}{\frac{17}{8} }[/tex]

= [tex]\frac{20}{2.125}[/tex]

≈ 9.4118 ( to 4 dec. places ) → F

Write a cubic function whose graph passes through the points (-4,0)(4,0)(0,6) and (2,0)

Answers

Answer: 3/16(x+4)(x-4)(x-2)

Step-by-step explanation:

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