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 19,660 units of the first nutrient and 31,890 units of the second nutrient. Each bacterium of species A requires 4 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?

Answer:

39/60 is a rational number halfway b/w the given numbers.

Step-by-step explanation:

Add both of these numbers and then divide the result by 2.

(1/3+3/10)/2

=((30+9)/30)/2

=(39/30)*1/2

=39/60

Answer:

D

Step-by-step explanation:

thank uu

Answer:

the yellow answer is false; second answer

Step-by-step explanation:

Answer:

It is 5.83 units

Step-by-step explanation:

[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]

x1 is -1

x2 is 2

y1 is 3

y2 is -1

[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]

Answer:

170 degrees

Step-by-step explanation:

110+ 60= 170

x angle = 170 degrees

Answer:

please help my friend 99ooooooooooooooooooooooooooooooooooo9ooooo my mjjjkjjidhjubsjuxsvuvjxehxf

Answer:  Choice B

Work Shown:

[tex]-2 \le 2x-4 < 4\\\\-2+4 \le 2x-4+4 < 4+4\ \text{ ... add 4 to all sides}\\\\2 \le 2x < 8\\\\2/2 \le 2x/2 < 8/2\ \text{ ... divide all sides by 2}\\\\1 \le x < 4\\\\[/tex]

This says that x is between 1 and 4; it can equal 1, but it can't equal 4.

To visually represent this, we'll have a closed circle at 1, an open circle at 4, with shading in between these circles. This is represented by graph B.

Answer:

81-1 nine

90-81

9

Step-by-step explanation:

Answer:

[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you[/tex]

Answer:

When we divide a whole into equal parts, each part is a fraction of the whole. For example, Fraction of a collection: Fractions also represent parts of a set or collection.

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Answer:

the answer is in given bellow:

605500.

Step-by-step explanation:

hopefully it makes sense and is visible

:)

Answer:

TO place the triangle ABC on EDF flip the triangle so the you get the mirror image of the triangle and then place it on top of the triangle EDF

hope this helps!

Answer:

a₁ = - 16 , a₂₁ = 24

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = - 14 , then

a₁ + d = - 14 → (1)

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Given S₂₁ = 84 , then

[tex]\frac{21}{2}[/tex] [ 2a₁ + (n - 1)d ] = 84 ( multiply both sides by 2 )

21(2a₁ + 20d) = 168 ( divide both sides by 21 )

2a₁ + 20d = 8 → (2)

From (1) d = - 14 - a₁ ← substitute into (2)

2a₁ + 20(- 14 - a₁) = 8 , that is

2a₁ - 280 - 20a₁ = 8

- 18a₁ - 280 = 8 ( add 280 to both sides )

- 18a₁ = 288 ( divide both sides by -18 )

a₁ = - 16

Substitute a₁ = - 16 into (1)

- 16 + d = - 14 ( add 16 to both sides )

d = 2

Then

a₂₁ = - 16 + 20(2) = - 16 + 40 = 24

Answer:

Saddle.

Sage.

Sail Boat.

Salad.

Salamander.

Salami.

Salmon.

Salt.

Step-by-step explanation:

Answer: string, shoes, sun, scissors, sand, stapler, safe, soap, salt, salmon, sailboat, scarf, seat,

Answer:

6

Step-by-step explanation:

Multiples of 2: 2, 4, 6, 8, 10

Multiples of 3: 3, 6, 9, 12, 15

Brainliest, please!

Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11

Step-by-step explanation:

By pythagoras triplet

sum of square of bigger side should be equal to sum of square of remaining two sides

so 75² + 33² = 5625 + 1089 = 6714

and 89² = 7921

here 6714 is not equal to 7921

so this triangle is not right angled triangle

MARK AS BRAINLIST IF IT IS USEFUL

Answer:

It is 10²

Step-by-step explanation:

[tex] \frac{ {10}^{3} . {10}^{4} }{ {10}^{5} } = \frac{ {10}^{(3 + 4)} }{ { {10}^{5} }} \\ \\ = \frac{10 {}^{7} }{ {10}^{5} } \\ \\ = {10}^{(7 - 5)} \\ = {10}^{2} [/tex]

Answer:

10²

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Then

[tex]\frac{10^{3}.10^{4} }{10^{5} }[/tex]

= [tex]\frac{10^{(3+4)} }{10^{5} }[/tex]

= [tex]\frac{10^{7} }{10^{5} }[/tex]

= [tex]10^{(7-5)}[/tex]

= 10²

Answer:

6

Step-by-step explanation:

The range of the middle 50% is the right side of the box subtracting the left side of the box

14-8

6

Answer:

C and E

Step-by-step explanation:

[tex]3 \tan( \beta ) = 2. \: \: \: \: \tan( \beta ) = \frac{2}{3} [/tex]

[tex] \frac{h}{x} = \tan( \beta ) = \frac{2}{3} [/tex]

[tex]if \: \: h = 2 \: \: \: x = 3 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + x } [/tex]

C. [tex]t = \sqrt{13} [/tex] ✅

○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○♧○

[tex] if \: \: \: h = 4 \: \: \: \: x = 6 \: \: \: and \: \: \: t = \sqrt{ {h}^{2} + {x}^{2} } [/tex]

E. [tex]t = 2 \sqrt{13} [/tex] ✅

Answer:

Step-by-step explanation:

[tex](x^2-3x+1)^{(2x^2+x-6)}=1\ we \ take \ the \ logarithm\\\\(2x^2+x-6)*ln(x^2-3x+1)=0\\\\(2x^2+x-6)=0\ or\ x^2-3x+1=1\\\\1)\\2x^2+x-6=0\\2x^2+4x-3x-6=0\\2x(x+2)-3(x+2)=0\\(x+2)(2x-3)\\x=-2\ or\ x=\dfrac{3}{2} \\\\2)\\x^2-3x=0\\x(x-3)=0\\x=0\ or\ x=3\\\\sol=\{-2,0,\dfrac{3}{2},3\}\\[/tex]

Answer:

1

Step-by-step explanation:

x + 2x + 3x = 6

Add the like terms,

6x = 6

=> x = 6/6

=> x = 1

Step-by-step explanation:

x+2x+3x=6

x+5x=6

6x=6

x=6÷6

x=1

Answer: Between 14 and 18 years

Step-by-step explanation:

There are no dots in that area.

Answer:

d: x3R

Step-by-step explanation:

Step 1: What is asked

A domain is for what values of x in the graph is defined such as when y = 2, x is equal to 2.

Step 2: Solve

Since this is a linear equation the domain would be every x value do it would be: d: x3R (x belongs to all real numbers)

Answer:

please mark me brainliest

Step-by-step explanation:

-6÷3×2+3÷3

using Bodmas(bracket of division multiplication addition and subtraction)

-2×2+1

-4+1

-3

Step-by-step explanation:

(35-99):99*100 =

(35:99-1)*100 =

35.353535353535-100 = -64.65

Percentage change from 99 to 35 is -64.64% .

Negative sign indicates that the number is decreased from the initial value.

Percentage change : When a number is increased or decreased from its original value is termed as percentage change.

Given, that number changes from 99 to 35.

Formula of percentage change  =  [tex]\frac{Final - Initial}{Initial}[/tex] × [tex]100[/tex]

Final number = 35

Initial number = 99

Substitute the values in the above formula,

Percentage change = [tex]\frac{35 - 99}{99} *100[/tex]

Percentage change = -0.6464 *100

Percentage change = -64.64%

Negative sign indicates that the number is decreased from the initial value.

Know more about percentage change,

https://brainly.com/question/14801224

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Answer: Hope this helps :)

Step-by-step explanation:

a) =Let the boys be x

girls = x-10

so

x + x - 10 = 50

or, 2x = 60

so, x = 30

boys = 30

girls = 30-10 = 20

Therefore, 30 boys participated in the activity.

b) = Let the zilong's stamp be x and miya's stamp be y

so

first

x+y = 40

y = 40-x

now

x - 10 = 2y

x-10 = 2(40-x)

x-10 = 80-2x

or, 3x = 90

so, x = 30

then y = 40-x

        y = 40-30 = 10

Therefore, Zilong had 30 stamps and Miya had 10 stamps before.