Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6 x + 3 y = 27. 5 x + 2 y = 21. Which variable should he choose so that he can use substitution to solve the system?

Answer:

(-2, -4)

Step-by-step explanation:

3(-2) - -4 = -2, so it doesn't work.

both equations are the same line

Answer:

2.5

Step-by-step explanation:

the mean, better known as the average, can be found by finding the sum of  all numerical data and dividing by the amount of your data. so 1+4+3+2=10 and 10 divided by 4=2.5

Answer:

2.5

Step-by-step explanation:

Answer:

$2216.72

Step-by-step explanation:

Simply plug in your known variables into the formula:

a = 1000

r = 0.04 (4%)

n = 4

t = 20

A = 1000(1 + 0.04/4)⁴⁽²⁰⁾

A = 1000(1 + 0.01)⁸⁰

A = 1000(1.01)⁸⁰

A = 1000(2.21672)

A = 2216.72

Answer:

a.) Expand the figure and stretch it to the form of a known figure.

Step-by-step explanation:

"Option a" is the correct one for finding the area of unknown figure we  don't expand and stretch the figure to form a known figure.

To find the area of unknown shapes, first , we need to divide the unknown shapes into regular shapes that you can recognize such as triangles, rectangles, circles, squares and so forth.

Then find the area of these individual shapes and add them to get an area of unknown shapes.

According to the given question

We have to find the step which is not required for finding the area of unknown figures

"For finding the areas of unknown figure we don't need to stretch it to form a known figure" because if we  expand and stretch the figure it's dimensions will get change so that the area will also gets change.

Hence," option a" is not a step in finding the area of unknown figure.

Learn more about the area of unknown figure here:

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Answer:

[tex]y = -2x[/tex]

Step-by-step explanation:

Given

x || 0 || 1 || -2

y || 0 ||  -2 || 4

Required

Determine the function rule

First, we have to determine the slope of the function using;

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

Where x and y represent any two corresponding values of x and y

When x = 0; y = 0  [tex](x_1,y_1)[/tex]

When x = 1; y = -2  [tex](x_2,y_2)[/tex]

Substitute these values in [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

[tex]m = \frac{0 - (-2)}{0 - 1}[/tex]

[tex]m = \frac{0 +2}{0 - 1}[/tex]

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

[tex]m = -2[/tex]

Next, is to determine the function rule; using slope intercept form as follows;

[tex]y - y_1 = m(x - x_1)[/tex]

Take any corresponding values of x and y as x1 and x2

When x = -2; y = 4

[tex]y - y_1 = m(x - x_1)[/tex] becomes

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

[tex]y - 4 = -2(x + 2)[/tex]

Open the bracket

[tex]y - 4 = -2x -4[/tex]

Add 4 to both sides

[tex]y - 4 + 4 = -2x - 4 + 4[/tex]

[tex]y = -2x[/tex]

Hence, the function rule is [tex]y = -2x[/tex]

Answer:

y = -2 x - 1

Step-by-step explanation:

Answer:

Banks require home insurance all the way until the house is payed off. This also goes as far as things like taxing, government funding, and collecting money.

Answer:f

Step-by-step explanation:

Answer: 31 degrees

Step-by-step explanation:

Answer:

question 1: 5/9 question 2: 9/5

Step-by-step explanation:

10/18 can be simplified to 5/9

18/10 can be simplified to 9/5

Answer:

  28 m

Step-by-step explanation:

The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784

  c = √784 = 28

The longer side is 28 meters.

The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.

Answer:

the answer is 74

Step-by-step explanation:

i did the cumulative test

Step-by-step explanation:

2 digit numbers are beetween 10 and 99

We are looking for numbers in wich the unit digits is less than the ten digit

we can make notice something about this numbers

0 is the smallest postive integer so all these numbers satisfy the condition

so we have now 9 numbers

here is another remark :

numbers from 91 to 99 satisfy the condition except 99

so here are 8 other numbers

numbers from 80 to 89 satisfy the condition except 88 and 89

so here are 7 other numbers

the numbers that satisfy the  keeps decreasing by 1 each time

so the total number of numbers that satisfy the condition

9+8+7+6+5+4+3+2+1= 45

Answer:

9

Step-by-step explanation:

7x=5x+14+4

7x=5x+18

2x=18

x=9

Answer:

[tex]\frac{360}{n}[/tex]

Step-by-step explanation:

Given:

The above statements

Required

Complete the above statements

Considering the third statement in the question;

First, it should be noted that a circle is a full sector that measures 360 degrees

Assuming the circle is divided by a central angle of 180, the number of sectors formed will be;

[tex]\frac{360}{180} = 2\ sectors[/tex]

Further assume the circle is divided by a central angle of 90, the number of sectors formed will be;

[tex]\frac{360}{90} = 4\ sectors[/tex]

Similarly, if the circle is divided by a central angle of n, the number of sectors formed will be;

[tex]\frac{360}{n}[/tex]

Hence, from the list of given options; [tex]\frac{360}{n}[/tex] fills the gap correctly

Answer:

360/n

Step-by-step explanation:

Answer:

A. 14 square units

Step-by-step explanation:

Hey there :)

Well let's find the area of each individual rectangles.

Let's start with the side rectangle.

It has dimensions of 5*1 = 5.

5 square units

Now the 3 rectangles left have dimensions of 3*1=3,

3*3 = 9.

5+9=14

14 square units

Answer:

A, 14 square units

Step-by-step explanation:

What I would do is separate them into 4 shapes like the picture below

Because all of the shapes are rectangles, you can use the formula

[tex]A=L*W[/tex]

For shape #1, the length is 1 and the width is 3. Plot the numbers

[tex]A=1*3[/tex]

Multiply 1 by 3 to get

[tex]A=3[/tex]

The area of shape #1 is 3

The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get

[tex]3*3[/tex]

[tex]9[/tex]

The area of shape #1, 2, and 3 are 9.

Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.

Use the same formula to get

[tex]A=5*1[/tex]

Multiply 5 by 1 to get

[tex]A=5[/tex]

The area of shape #4 is 5

The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9

[tex]A=5+9[/tex]

This gives you your answer which is

[tex]A=14[/tex]

Hope this helps.

Feel free to ask any more questions if you are confused.

Have a great day! :)

Answer:  c) 16.75 in²

Step-by-step explanation:

Area of a sector = π·r² (θ/360°)Given: diameter = 16 --> r = 8,  θ = 30°

[tex]A=\pi (8)^2\bigg(\dfrac{30^o}{360^o}\bigg)\\\\.\quad =\dfrac{64\pi}{12}\\\\.\quad =\dfrac{16\pi}{3}\\\\.\quad = 16.755[/tex]

The y intercept of 4 means the graph crosses the vertical y axis at 4. More specifically this location is (0,4)

Start at (0,4) and move down 5 units and then move to the right 1 unit. You should arrive at (1,-1). The movement rule of "down 5, over to the right 1" is taken exactly from the slope of -5 = -5/1.

After plotting the two points (0,4) and (1,-1), draw a straight line through them both. Extend this line as far as you can in either direction. The graph is now completed.

Side note: The equation of this line is y = -5x+4. It is in slope intercept form.

The graph of the linear equation y = -5x + 4 is in the image at the end.

Here we want to do the graph of a line where the slope is -5 and the y-intercept is 4.

Then we can write the line as:

y = -5x + 4

To graph the line, we need to find two points on the line, to find these points just evaluate the function in two values.

if x = 0

y = -5*0 + 4

y = 4 ---> we have the point (0, 4)

if x = 1

y = -5*1 + 4 = -1  ---> we have the point (1, -1)

Now graph these two points and connect them with a line, you will get a graph like the one below.

Learn more about linear equations at:

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Answer:

490,314

Step-by-step explanation:

This is a combinations problem.  The formula is n!/(n-r)!xr!

This is 23!/(23-8)!x8!=

23!/15!x8!=

19,769,460,480/40,320=

490,314

Using the combination formula, it is found that the classes can be chosen in 490,314 ways.

The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 8 classes are chosen from a set of 23, hence:

[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]

The classes can be chosen in 490,314 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

Part A : 2y( x³ + 9x - 5x² - 45 ), Part B : 2y( x - 5 )( x² + 9 )

Step-by-step explanation:

Part A : Let's break every term down here to their " prime factors ", and see what is common among them,

2x³y + 18xy − 10x²y − 90y -

2x³y  = 2 [tex]*[/tex] x³ [tex]*[/tex] y,

18xy = 2 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] x [tex]*[/tex] y,

− 10x²y = 2 [tex]*[/tex] - 5 [tex]*[/tex] x² [tex]*[/tex] y, - so as you can see for this example I purposely broke down - 10 into 2 and - 5. I could have placed the negative on the 2, but as that value was must likely common among all the terms, I decided to place it on the 5. The same goes for " − 90y. " I placed the negative there on the 5 once more.

− 90y = 2 [tex]*[/tex] - 5 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] y

The terms common among each term are 2 and y. Therefore, the GCF ( greatest common factor ) is 2x. Let's now factor the expression using this value.

2y( x³ + 9x - 5x² - 45 )

Part B : Let's simply factor this entire expression. Of course starting with the " factored " expression : 2y( x³ + 9x - 5x² - 45 ),

[tex]2y\left(x^3+9x-5x^2-45\right)[/tex] - Factor out " [tex](x^3+9x-5x^2-45\right))[/tex] " by grouping,

[tex]\left(x^3-5x^2\right)+\left(9x-45\right)[/tex] - Factor 9 from 9x - 45 and x² from x³ - 5x²,

[tex]9\left(x-5\right)+x^2\left(x-5\right)[/tex] - Factor out common term x - 5,

[tex]\left(x-5\right)\left(x^2+9\right)[/tex] - And our solution is thus 2y( x - 5 )( x² + 9 )

Answer:

x=44

Step-by-step explanation:

If the lines were parallel, then those two angles would be equal since they are alternate interior angles. So:

3(x-8)=2(x+10)

3x-24=2x+20

x=44

Hope this is helpful! :)

Answer:

x=36.8

Step-by-step explanation:

We know that the two angles given are supplementary so we can do:

3(x-8)+2(x+10)=180

Then we simplify.

3x-24+2x+20=180

Simplify

5x-4=180

Combine like terms

5x-4=180

    +4  +4

5x=184

Divide to make it x alone.

5x=184

/5      /5

x    =    36.8

I hope this helped

Answer:

$980

Nvm you have to multiply 98 by 10 since there are 10 participants. :)

Step-by-step explanation:

Well, first we wanted to find how much the morning classes cost together. You have to $28 multiplied with 75/100. I am multiplying it with 75/100 instead of 25/100 because the discount cuts off the 25% and the 75% is what you still have to pay. This will give you 2100/100 which is $21. Now you have to multiply $21 with 2 since there are two morning classes. $21 x 2 equals $42. Total for Morning Classes is $42.

Now the other two classes don't have a discount. So all you have to do is $28 x 2 or $28 + $28. This gives you $56. Total for The Other Classes is $56.

Last Step:

Total for Morning Classes + Total for the Other Classes = $56 + $42

                                                                                             = $98

Hope that helped! :)

Answer:

$ 980

Step-by-step explanation:

Discount for morning session = 25 % of 28 = 0.25 * 28 = $ 7

Fees for morning class = 28 - 7 = $ 21

Maximum people in one session = 10

Money earned in the morning sessions = 2 * 21 * 10 = $ 420

Money earned in the evening sessions = 2 * 28 * 10 = $ 560

Total money earned that day = 420 + 560 = $ 980

Answer:  16384

Step-by-step explanation:

Given, Total jars = 4

Total marbles = 7

Since we need to put marbles in 4 different jars, we need to choose a jar each time.

Possible choices for jars =4

Number of time we need to choose = number of marbles

So, by fundamental counting principle, we have

Total ways to put 7 marbles in 4 jars = [tex]4\times4\times 4\times 4\times4\times 4\times 4[/tex]

[tex]=4^7\\\\=16384[/tex]

Hence, the required number of ways =16384

Answer:

[tex]\boxed{D. 9x + 36}[/tex]

Step-by-step explanation:

Hey there!

Given info

9(x + 4)

Solve!

9*x = 9x

9*4 = 36

Answer

9x + 36

D. 9x + 36

Hope this helps :)

Answer:

[tex] \boxed{9x + 36}[/tex]

Option D is the correct option.

Step-by-step explanation:

[tex] \mathrm{9(x + 4)}[/tex]

Distribute 9 through the parentheses

[tex] \mathrm{ = 9 x + 9 \times 4}[/tex]

Multiply the numbers

[tex] \mathrm{ = 9x + 36}[/tex]

Hope I helped!

Best regards!

Answer:

PLS PLS DO MARK MY ANSWER AS THE BRAINLIEST......

Step-by-step explanation:

P -  ( 2, -3)  - 4TH QUADRANT

Q - (-3,-2) - 3RD QUADRANT

R - (1,3) - 1ST QUADRANT

S -(-2,2) - 2ND QUADRANT

Answer:

P -  ( 2, -3)  - 4TH QUADRANT

Q - (-3,-2) - 3RD QUADRANT

R - (1,3) - 1ST QUADRANT

S -(-2,2) - 2ND QUADRANT

Answer:

x = 0.36

Step-by-step explanation:

6x^2 +5x - 4 = 0

6x+5x-4 = 0÷2

11x = 0+4

x = 4÷11

Therefore, x = 0.36

Answer:

easy, heres a hand y≈12⋅1.85x :)

P.s. have a good day :)

Answer:

see below

Step-by-step explanation:

f(x)=3(1.85)^x  +3

Let x = - ∞

f(x)=3(1.85)^-∞  +3

    = 3* 0 +3

    = 3

The graph goes to 3

The graph has a horizontal asymptote of y=3

Let x =  ∞

f(x)=3(1.85)^∞  +3

    = 3* ∞ +3

    = ∞

The graph goes to ∞

ASA  and AAS

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ.  This makes EJ a transversal.  This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent.  We also know that ∠EGF and ∠HGJ are vertical angles and are congruent.  This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent.  Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

The congruence theorems that can be used to prove ΔEFG ≅ ΔJHG are; ASA and AAS

It is impossible to know if these are right triangles from the information given;

On this note, only one side of each triangle is marked congruent;

Hence, we are unable use SSS or SAS to affirm congruence.

Read more on congruence theorems:

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Answer:

[tex](a).\:\:\int _1^{-1}3f\left(x\right)dx\:=-12[/tex]   is the final answer.

Step-by-step explanation:

See the attachment below.

Best Regards!

Answer:

21

Step-by-step explanation:

his mean is already 21

but if he has to score then 21

Answer:

A. The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Given

[tex]Equation\ 1: x - 3y = 1[/tex]

[tex]Equation\ 2: 7x + 2y = 7[/tex]

Required

Efficient way of solving the equations

The efficient way of solving this problem is by solving for x in the first equation because it has a coefficient of 1;

The evidence is shown as follows;

Make x the subject of formula in equation 1

[tex]x = 1 + 3y[/tex]

Substitute 1 + 3y for x in equation 2

[tex]7x + 2y = 7[/tex]

[tex]7(1 + 3y) + 2y = 7[/tex]

Open bracket

[tex]7 + 21y + 2y = 7[/tex]

[tex]7 + 23y =7[/tex]

Make y the subject of formula

[tex]23y = 7 - 7[/tex]

[tex]23y = 0[/tex]

Divide both sides by 23

[tex]\frac{23y}{23} = \frac{0}{23}[/tex]

[tex]y = 0[/tex]

Recall that x = 1 + 3y

Substitute 0 for y in the above expression

[tex]x = 1 + 3(0)[/tex]

[tex]x = 1 + 0[/tex]

[tex]x = 1[/tex]

Solving for y in the second equation will take more steps

Answer:

A: The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Sine is negative in quadrants 3 and 4, when y < 0.

Tangent is negative for quadrants 2 and 4, when y/x < 0. Basically when x and y differ in sign (one is positive, the other is negative)

The common quadrant mentioned is quadrant 4.

Quadrant 4 has angles that are between 270 degrees and 360 degrees

So we have [tex]270^{\circ} < \theta < 360^{\circ}[/tex]