Which is further away from zero on the number line -8 or 8

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

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

To learn more about simultaneous equations :

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Answer:

Coplanar points are the points on the same plane.

1.

Additional points on the same plane as D, A and B are:

2.

Additional points on the same plane as C, G and F are:

Answer:

HCF = 33.

Step-by-step explanation:

99 = 3*3*11

165 = 3*5*11

3 and 11 are common so the HCF = 3*11

= 33.

Answer:

87 whole peach pies

Step-by-step explanation:

.875 peaches left

Answer:

Step-by-step explanation:

Hi ;-)

[tex]\text{x}=-1 \ \text{and} \ \text{y}=-4\\\\\dfrac{5x^2-y^2+3}{2x-4y}=\dfrac{5\cdot(-1)^2-(-4)^2+3}{2\cdot(-1)-4\cdot(-4)}=\dfrac{5\cdot1-16+3}{-2+16}=\boxed{-\frac{8}{14}}[/tex]

Hey there! I'm happy to help!

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QUESTION 18

Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).

[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right][/tex]

Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.

[tex]\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex]

So, your answer is [tex]\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex].

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QUESTION 14

We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.

[tex]\frac{x^2}{25} + \frac{y^2}{16}=1[/tex]

We subtract [tex]\frac{x^2}{25}[/tex] from both sides.

[tex]\frac{y^2}{16}=1-\frac{x^2}{25}[/tex]

We multiply both sides by 16.

[tex]y^2=1-\frac{x^2}{25}*16[/tex]

We square root both sides.

[tex]y=[/tex] [tex]\sqrt{1-\frac{x^2}{25}*16[/tex]

We can take a four out of our root (because 16 is a perfect square so it can be simplified more).

y= [tex]4\sqrt{1-\frac{x^2}{25}[/tex]

And we take out 1/5 (which is the square root of 1/25).

y=± [tex]\frac{4}{5}\sqrt{1-x^2[/tex]

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QUESTION 17

We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.

From now on, they will be winning 2/3 of their games. Let's look at the answer options.

A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.

B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.

C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.

D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.

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QUESTION 16

Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.

This eliminates answer choices B and D as they do not have the equal part on the inequality.

Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.

So, our final answer is A.

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QUESTION 12

You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:

2×2 times 2×1 YES

2×1 times 2×2= NO

3×3 times 3×1= YES

3×1 times 3×3= NO

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Have a wonderful day and keep on learning! :D

Using a linear equation, it is found that:

The linear function is: [tex]C(n) = 50 + 15n[/tex]

The domain of the function is: [tex]D_C = [0,\infty)[/tex]

The range of the function is: [tex]R_C = [50,\infty)[/tex]

----------------------------

The linear equation for her monthly bill, considering she goes to n classes, has the following format:

[tex]C(n) = C_f + an[/tex]

In which

----------------------------

Thus, the linear function is:

[tex]C(n) = 50 + 15n[/tex]

----------------------------

A similar problem is given at https://brainly.com/question/10891721

Answer:

1078 minutes

Step-by-step explanation:

18 + 0.05x = 71.90

0.05x = 71.90 - 18

0.05x = 53.9

x = 53.9/0.05

x = 1078 minutes

The minimum number of minutes is 1078 minutes.

To find the minimum number of minutes she has used on her phone in a month.

The branch of mathematics dealing with the properties and manipulation of numbers.

Given that :

Halima pays a monthly fee of 18 AED and she pays an additional 5 files per minute of use. The least she has been charged in a month is 71.90 AED.

so, that

18 + 0.05x = 71.90

0.05x = 71.90 - 18

0.05x = 53.9

x = 53.9/0.05

x = 1078 minutes

So, the minimum number of minutes is 1078 minutes.

Learn more about arithmetic here:

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Answer:

5130

Step-by-step explanation:

You just multiply 513 by 10 to get 5130.

You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.

Answer:

x < 1

x ≤ -7

x ≤ 6

Step-by-step explanation:

6x + 1 < 9 - 2x

Group Like terms

6x + 2x < 9 - 1

8x < 8

Divide through by 8

8x/8 < 8/8

X < 1

2x - 1 ≤ 5x + 20

Group like terms

2x - 5x ≤ 20 + 1

-3x ≤ 21

Divide through by -3

-3x/-3 ≤ 21/-3

x ≤ -7

3 - (2x - 7) ≤ 34 - 6x

Expand the bracket

3 - 2x + 7 ≤ 34 -6x

-2x + 10 ≤ 34 - 6x

Group like terms

-2x + 6x ≤ 34 - 10

4x ≤ 24

Divide Through by 4

4x/4 ≤ 24/4

x ≤ 6

Answer:

–6.8

Method:

Counting backwards from –7 to –6.5

Answer:

-6.8

Step-by-step explanation:

it is 3 units from -6.5 so you can even add them

-6.5 + 3

= -6.8

Answer:

[tex]\frac{5}{-12}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{5}{-12}[/tex]

Step-by-step explanation:

Given

[tex]\frac{-25}{60}[/tex]

now 60 ÷ - 5 = - 12

Divide numerator and denominator by - 5

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

Answer:

please mark me brainliest

Step-by-step explanation:

thousandth

The place Value of 2 is Thousand (1000)

Answer:

x = 1, p = 1

BRAINLIEST, PLEASE!

Step-by-step explanation:

a. 4(x + 3) = 16

4x + 12 = 16

4x = 4

x = 1

b. 3(p - 6) + 15 = 0

3p - 18 + 15 = 0

3p - 3 = 0

3p = 3

p = 1

Answer:

slope = - 6, y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

0 = 2x - [tex]\frac{5}{3}[/tex] + [tex]\frac{1}{3}[/tex] y ( multiply through by 3 to clear the fractions )

0 = 6x - 5 + y ( subtract 6x - 5 from both sides )

- 6x + 5 = y , that is

y = - 6x + 5 ← in slope- intercept form

with slope m = - 6 and y- intercept c = 5

Answer:

x = -4 and x = -6

Step-by-step explanation:

x² + 10x + 20 = -4

x² + 10x + 20 + 4 =0

x²+ 10x + 24 = 0........p = 24, s = 10 , factors = 4,6

( x² + 4x) ( + 6x + 24)= 0

x ( x + 4) + 6( x + 4)= 0

( x + 4) ( x + 6 )= 0

x + 4 = 0. or x + 6 = 0

x = -4. or x = -6

Answer:

-4, -6

Step-by-step explanation:

brainliest is appreciated

working and explaining is in the photo

Answer:

Step-by-step explanation:

Trinomial

Answer:

Estimate: about 20000000 people

Exact: 288368000-83822000 = 204546000 people

Answer:

y = 2x + 2

BRAINLIEST, PLEASE!

Step-by-step explanation:

(-2, -2) (-1, 0)

y = mx + b (m = slope, b = y-intercept)

m = rise/run = change in y / change in x

change in y: +2

change in x: + 1

change in y/change in x = 2/1 = 2

m = 2, y = 2x + b

We can plug -1 in for x, and 0 in for y.

0 = 2(-1) + b

0 = -2 + b

b = 2

y = 2x + 2

Answer:

y = 2x + 2

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

2(x-8):

2(-4-8) = 2 (-12) = -24

x + 5x:

-4 + 5 (-4) = -4 + (-20) = -4 - 20 = -24

Since -24 = -24, x = -4 makes the equation true

Answer:

76 percent done.

Step-by-step explanation:

Reasoning for this if its 76/100 you know that it will be 76. Or im Just got confused.

Answer:

i don't know the answer becausr i am in class 8 sorry bro

Answer:

length = 13 inches

Step-by-step explanation:

let the length be x

hence, the width = x-9

perimeter = 2(x+x-9) = 34

2(2x-9) = 34

4x- 18 = 34

4x = 52

x = 13

Answer:124,200Step-by-step explanation:

Answer:

[tex]y = \frac{1}{2} x - 1[/tex]

Step-by-step explanation:

Hope it is helpful....

Answer:

Step-by-step explanation:

[tex]9.25=\frac{925}{100} \\592 \div9.25=592 \div \frac{925}{100} =\frac{59200}{925}[/tex]

Answer:

the answer is two B btw brainly just has bots

Step-by-step explanation:

Answer: [tex]\boxed{Sol=\{\dfrac{7}{4} \}}\\[/tex]

I suppose 17x^ means 17x².

and that we must solve the equation.

Step-by-step explanation:

[tex](x-3)(x-5)-(4x+1)(1-4x)=14x^2\\\\x^2-3x-5x+15+(4x+1)(4x-1)=17x^2\\\\x^2-8x+15+16x^2-1=17x^2\\\\-8x+14=0\\\\8x=14\\\\x=\dfrac{7}{4} \\\\\boxed{Sol=\{\dfrac{7}{4} \}}\\[/tex]

Answer:

n = 3

Step-by-step explanation:

The entire equation needs to cancel out and for q to cancel out, n needs to be 3.