Answer:
4570 species of the type A and 1540 species of the type B.
Step-by-step explanation:
A:
1st: 4 units
2nd: 5 units
B:
1st: 1 unit
2nd: 6 units
A=x, B=y
4x + 1y = 19820 units of the first nutrient
5x + 6y = 32090 units of the second nutrient
5x + 6*(19820-4x) = 32090.
32090 - 6(19820-4x)
x= ------------------------------------- = 4570
5-24
y = 19820 - 4*4570 = 19820 - 18280 = 1540.
ANSWER: 4570 species of the type A and 1540 species of the type B.
Hopes this solves it.
The populations of each species can coexist in the environment so that all the nutrients are consumed each day are 4530 and 10600
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given;
Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient
2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available
Now,
Let the number of bacteria of Specie A and Specie B be x and y respectively;
To find : Number of Bacteria 1 and Bacteria 2
Nutrient 1 Constraint Equation : 4x + y = 19660
Nutrient 2 Constraint Equation : 5x + 6y = 31890
Putting the value of y from 1st equation in 2nd equation;
5x + 6 (19660 - 4x) = 31890
5x + 117960 - 24x = 31890
117960 - 31890 = 19x
19x = 86070
x = 86070 / 19 = 4530 { Bacteria A}
Putting the value of x in 1st equation;
2 (4530) + y = 19660
9060 + y = 19660
y = 19660 - 9060= 10600{Bacteria B}
Therefore, the solution of equations will be 4530 and 10600
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what is the answer to this? please
Step-by-step explanation:
hopefully it makes sense and is visible
:)
when f(x)=2x-2 what is the domain?
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)
There are 40 students in a summer cohort. Of those students, 20 are taking an accounting course, and 25 are taking a Spanish course. A total of eight students are taking both courses. How many students are not taking either course
Angle X measures 110 degrees. If angle X is rotated 60 degrees, what is the measure of angle X'?
Answer:
170 degrees
Step-by-step explanation:
110+ 60= 170
x angle = 170 degrees
help plz (ASAP) thanks
Answer:
D
Step-by-step explanation:
thank uu
Answer:
the yellow answer is false; second answer
Step-by-step explanation:
what is the total value in fraction.
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.
if my answer helps you than mark me as brainliest
what are some objects that start with s because i have to do my name using objects
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,
if LN=9x-39, LM=47, and MN=3x+10 find MN
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
Solve the equation. (find x)
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]
Two functions are given ; f(x) = x^2+2x-1 and g(x) =5x+3 . Find the value of x if f(x) = g(x). . Also find f(-4) and g(9
Please I need help Please I need help Please I need help Please I need help Please I need help
Answer:
please help my friend 99ooooooooooooooooooooooooooooooooooo9ooooo my mjjjkjjidhjubsjuxsvuvjxehxf
What is six hundred five thousand, five hundred written in standard form
Answer:
the answer is in given bellow:
605500.
Jocelyn is going to the amusement park, where she has to pay a set price of admission
and another price for tickets to go on each of the rides. The total amount of money
Jocelyn will spend is given by the equation y 3.5x + 28, where y represents the
total amount of money, in dollars and cents, and x represents the number of rides
Jocelyn goes on. What could the number 28 represent in the equation?
a triangle has sides with lengths of 33 centimeters, 75 centimeters, 89 centimeters. is it a right triangle?
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
write each equatiom as a single power of 10
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
The dot plot below shows the numbers of years of experience of the teachers at City High School.
++
0 2 4 6 8 10 12 14 16 18 20
Years of Experience
Determine where a gap is present in the data set.
between 14 and 18 years
between 5 and 7 years
oooo
between 2 and 4 years
between 11 and 19 years
Submit
Reset
Answer: Between 14 and 18 years
Step-by-step explanation:
There are no dots in that area.
hey please help i’ll give brain
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]
Pleaseee help ill mark brainliest please include explanation too
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!
how can i solve that equation
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] ✅
x + 2x + 3x = 6 . Find x
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
5 An arithmetic progression has a second term of -14 and a sum to 21 terms of 84. Find the first term and the 21st term of this progression.
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
What is the percentage change from 99 to 35
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,
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Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?
least common multiple of 2 and 3?i forgot how to do this completly over the summer lol
Answer:
6
Step-by-step explanation:
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 3: 3, 6, 9, 12, 15
Brainliest, please!
Solve the compound inequality. Graph the solution
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.
I need a step by step correct answer bc i need to get in this college please help :(
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
the distance between the points (-1,3) and (2,-1) is?
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]
find a rational number halfway in between the two numbers. 1/3 and 3/10
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
PLEASE HELP!!! I will give you brainliest!
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
can someone explain to me how to do both of this question? tyvm
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.