Two lines, A and B, are represented by the following equations:

Line A: 3x + 3y = 12
Line B: x + y = 4

Which statement is true about the solution to the set of equations?

It is (12, 4).
There are infinitely many solutions.
It is (4, 12).
There is no solution.

Answer:

B

Step-by-step explanation:

Multiplying something by 10^-1 is just dividing it by 10.

So 3.02 / 10 = 0.302 since the decimal point moves one to the left.

B

Explication pas à pas:

[tex]3.02 / 10 = 0.302[/tex]

le point décimal se déplace de un à gauche.

Answer: 54 times 9 =486 pounds Monica recycled

Step-by-step explanation:

Answer:

Let x be the number of pounds of paper Monica recycled.

Since, it is given that, Cindy recycles 9 times as many pounds of paper Monica recycles.

Thus, the  number of pounds of paper Cindy recycled = 9x,

According to the question,

9x = 54

Which is required the equation to find the number of pounds of paper Monica recycled.

Now, divide both sides of the above equation by 9,

We will get,

x = 6

Therefore, Monica recycled 6 pounds of paper.

Answer:

[tex]x=2[/tex], [tex]y=0[/tex], or as an ordered pair [tex](x,y)=(2,0)[/tex].

Step-by-step explanation:

We have the system of equations

[tex]5x + 2y = 10[/tex] equation (1)

[tex]3x + 2y = 6[/tex] equation (2)

Since both equations have the term [tex]2y[/tex], we are using the elimination method:

Step 1. Multiply equation (2) by -1 and add the result equation to equation (1):

[tex]\left \{ {{-1(3x + 2y = 6)} \atop +{5x + 2y = 10}} \right.[/tex]

[tex]\left \{ {{-3x -2y = -6)} \atop +{5x + 2y = 10}} \right.[/tex]

Now we can get rid of [tex]-2y[/tex]

[tex]2x=4[/tex]

[tex]x=\frac{4}{2}[/tex]

[tex]x=2[/tex]

Step 2. Replace the value [tex]x=2[/tex] in equation (1) to find the value of [tex]y[/tex]:

[tex]5x + 2y = 10[/tex]

[tex]5(2) + 2y = 10[/tex]

[tex]10 + 2y = 10[/tex]

[tex]2y = 0[/tex]

[tex]y = 0[/tex]

We can conclude that the solution of the system of equations is [tex]x=2[/tex], [tex]y=0[/tex], or as an ordered pair [tex](x,y)=(2,0)[/tex].

I think the answer is C

The elimination method may not be applied directly to solve systems involving nonlinear, transcendental, or linearly dependent equations, demanding more complex techniques for solutions.

A system of equations cannot be directly solved by applying the elimination method if the system involves equations that are not linear or if the equations are dependent in such a way that one cannot eliminate variables easily.

For instance, in the case of two simultaneous transcendental equations, it may be impossible to solve the system through algebraic means using elimination.

In such scenarios, iterative methods like an extension of the Newton-Raphson technique might be necessary. Moreover, dealing with systems of differential equations also requires different approaches, such as the use of matrices or integrating factors when the equations are linearly dependent.

Answer:

your answer is 20. Hope this helped! :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 15

Answer:

The answer is 6.209

You could put it into a calculator and get 6.209 but what's the fun in that

I'll attach how to subtract manually

Answer:

C.

Step-by-step explanation:

divide the numerator (top number) by the denominator (bottom number) 3/8= 0.375

Answer:

c

Step-by-step explanation:

the second even number is 2n + 2

2n (2n+2)

4n^2 + 4n

[tex]4 {n}^{2} + 4n[/tex]

Answer:

25

Step-by-step explanation:

To solve 100 x 0.25, multiply 100 by 0.25 directly, which is the same as dividing 100 by 4. The solution is simply 25.

To solve the problem of 100 x 0.25, you can think of it as finding a quarter of 100. Since 0.25 is the decimal equivalent of 1/4, when you multiply 100 by 0.25, you are essentially dividing 100 by 4. The steps to solve this are simple:

Write the multiplication: 100 x 0.25.

Perform the multiplication: 100 x 0.25 = 25.

No proportions or conversions are necessary for this calculation; it is a straightforward multiplication problem. The answer to 100 x 0.25 is 25.

The probable question may be:

How to solve 100x0.25?

Answer:

C. If two points lie in a plane, the line containing those points lies in the same plane.

D. If two points lie in a plane, the line containing those points lies in the same plane.

Best regards

Answer:

y= -2/3x-3, (Word Form: Y equals negative 2 over 3x minus 3.)

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b. m=Slope. b=y-intercept. Therefore the equation would be y= -2/3x-3

Answer:

[tex]y=-\frac{2x}{3}+3[/tex]

Step-by-step explanation:

Hello

I think I can help you with this

if you a have  the slope and a point of the line , it is possible to find the equation using:

[tex]y-y_{1}=m(x-x_{1} )[/tex]

where, m is the slope, (x1,y1) are the coordinates of the known point

Step 1

Let

[tex]P1(9,-3)\\slope=-\frac{2}{3}[/tex]

replacing

[tex]y-(-3)=-\frac{2}{3}(x-9 )\\y+3=-\frac{2x}{3}+\frac{18}{3}\\isolating\ y \\y=-\frac{2x}{3}+6-3\\y=-\frac{2x}{3}+3\\[/tex]

Have a good day.

Answer:

x=10

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

7x-3 + 12x-7 = 180

Combine like terms

19x-10 = 180

Add 10 to each side

19x-10+10 = 180+10

19x = 190

Divide by 19

19x/19 = 190/19

x= 10

Answer:

10

Step-by-step explanation:

We are given a diagram which we are to analyze and and solve for x.

We can see the a straight line is intersected by another line thus forming two angles which are supplementary. It means that the sum of these angles is equal to 180 degree.

So we can write them as:

[tex] ( 7 x - 3 ) + ( 12 x - 7 ) = 180 \\\\ 12 x + 7 x = 180 + 3 + 7 \\\\ 19 x = 190 \\\\ x = \frac { 190 } { 19 }\\\\ x = 10 [/tex]

Therefore, the correct answer option is 10.

[tex]6 = 1 \: \over 3x + 5[/tex]

A circle is a curve sketched out by a point moving in a plane. The area of sector BEC when CE = 9 yd is 84.823 yds².

The sector of a circle is like a slice of a circular pizza. Its two straight edge's having an angle, and the edge's length(the radius of the circle) are two needed factors for finding the area of that sector.

Since the whole circle with radius 'r' units have 360 degrees angle on the centre of the circle, and its area is

πr² unit², thus, as the angle lessens, this area gets lessened.

360 degree => πr² unit²

[tex]\rm area\ 1 degree = \pi r^2 \: \rm unit^2/360 area\\\\x\ degree = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]

Thus, the area of a sector with edge length 'r' units and interior angle 'x' degrees is given as:

Given the length of the radius of the circle, CE is 9 yds. Also, the measure of the ∠BEC at the centre of the circle is 120°. Therefore, the area of sector BEC can be written as,

Area BEC = π × r² × (θ/360°)

                 = π × 9² × (120° / 360°)

                 = 84.823 yds²

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Answer:   $5.64

Step-by-step explanation:

Let x represent 1 box of batteries

Let y represent 1 case of batteries

Given: 14x = 3y

Given: 158 = 14x + 3y

Use substitution: 158 = 14x + 14x

Simplify:                158 = 28x

Divide by 28:        5.64 = x

19 percent of the people polled who preferred burgers were teachers.

Answer:

Option A is correct.

Step-by-step explanation:

According to results shown, we can say that option A is true.

In the burger column in above segment, we see that total number of students are 17 and total teachers are 4. Making it a total of 21.

So, [tex]\frac{4}{21}*100=19.04[/tex] ≈ 19% are teachers.

So, 19% of the polled people who preferred burgers were teachers.

Option B cannot be true as all the teachers were polled. Out of all 19% preferred burgers.

Option C is also not true because 19% was not from all the population. It was only from the teachers.

So, only option A is correct.

Answer:

16 team members.

Step-by-step explanation:

To find 80% of 20, multiply 20 by 0.8.

20 × 0.8 = 16.

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

• The coefficient of the x² term must be 1

y = 2(x² - 9x) + 8

• add/subtract (half the coefficient of the x- term)² to x² - 9x

y = 2(x² + 2 (- [tex]\frac{9}{2}[/tex]) x + (- [tex]\frac{9}{2}[/tex])² - (- [tex]\frac{9}{2}[/tex])²) + 8

y = 2(x - [tex]\frac{9}{2}[/tex])² - 2([tex]\frac{81}{4}[/tex] + 8

  = 2(x - [tex]\frac{9}{2}[/tex])² - [tex]\frac{65}{2}[/tex] ← in vertex form

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is True.

You can eyeball the triangle or also get a protractor and also see that this is a right triangle. Remember, right triangles have a right angle.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Answer:

ΔFGH is right triangle

Step-by-step explanation:

Given a triangle with dimensions 10, 7, [tex]\sqrt{51}[/tex]

we have to find FGH is right triangle or not.

[tex]Hypotenuse=10 units[/tex]

[tex]Base=7 units[/tex]

[tex]Height=\sqrt{51}[/tex]

If ΔFGH is right triangle, then by Pythagoras theorem

[tex](Hypotenuse)^2=(base)^2+(height)^2\text{ must be satisfied}[/tex]

[tex]FG^2=GH^2+FH^2[/tex]

[tex]10^2=(\sqrt{51})^2+7^2[/tex]

[tex]100=51+49[/tex]

[tex]100=100[/tex]

which is true

Hence, ΔFGH is right triangle

The answer is True

To identify the cup that is not within the specified tolerance, calculate the upper and lower limits of the tolerance and compare them to the actual diameter of each cup in the sample. The fourth cup with a diameter of 5.5in is not within the specified tolerance.

In this question, we are given the tolerance for the diameter of the cup's mouth, which is 5in ± 8%. We have a sample of cups with their diameters listed in a table. To identify the cup that is not within the specified tolerance, we need to calculate the upper and lower limits of the tolerance and compare them to the actual diameter of each cup in the sample.

To calculate the upper limit, we add 8% of 5in to the nominal value of 5in. This gives us 5in + 0.08 * 5in = 5in + 0.4in = 5.4in. To calculate the lower limit, we subtract 8% of 5in from the nominal value of 5in. This gives us 5in - 0.08 * 5in = 5in - 0.4in = 4.6in. Now, we compare the actual diameters of the cups in the sample to these upper and lower limits to determine which cup is not within the specified tolerance.

Looking at the table of cup diameters, we can see that the fourth cup has a diameter of 5.5in, which is greater than the upper limit of 5.4in. Therefore, the fourth cup is not within the specified tolerance.

Answer:

-4×5+3=,lost 20 pounds and gained 3 pounds

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

Answer:

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex]x^2+(y-4)^2=25\\\\(x-0)^2+(y-4)^2=5^2[/tex]

h = 0, k = 4, r = 5

the odd number after 14 is 15

Answer:

The odd number after 14 is 16

B 3-5 is the correct answer.

Final answer:

You should prepare a separate sheet with 3-5 references when an employer requests them, choosing them strategically and ensuring they agree to vouch for you.

Explanation:

When an employer asks for your list of references, you should be prepared to provide a separate sheet with this information, rather than listing it directly on your résumé. A generally accepted number of references is three, so the best answer to how many references should be ready to list if an employer asks for them is 3-5. These references could include a mix of superiors, co-workers, clients, or instructors. It is important to contact each reference to confirm their willingness to speak on your behalf and to ensure your reference sheet is consistent with the look of your cover letter and résumé. Moreover, always choose references strategically, selecting those who can positively attest to your skills, knowledge, and work habits.

Answer:

The correct answer is C.

Step-by-step explanation:

For stem leaf plot, the only thing you do is put the number on the tens place under "stem" and the number on the ones place under "leaf".

The stem-and-leaf plot that represents the data is the Stem and leaf of option C.

Option C is the correct answer.

In statistics, a stem-and-leaf plot is a way to display a set of numerical data in a visual format that allows for easy analysis of the distribution of the data.

We have,

The data are:

10, 70, 37, 65, 88, 86, 70, 10, 15, 15, 15

This can be written in stem and leaf form as:

Stem and leaf of option C.

Now,

There are 5 numbers where the first value is 1.

i.e

10, 10, 15, 15, and 15.

This can be seen in the Stem and leaf of option C.

Thus,

The stem-and-leaf plot that represents the data is the Stem and leaf of option C.

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Answer:

1 23/24

Step-by-step explanation:

Add up distance between park, home, and store. 7/8 + 1/4 + 5/6 = 47/24

Turn into mixed number (simplest form). 1 23/24 miles

[tex]\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (a-5)^2(5+a)^2\implies (a-5)^2(a+5)^2\implies [(a-5)(a+5)]^2\implies \stackrel{\stackrel{\textit{difference}}{\textit{of squares}}}{[a^2-5^2]^2} \\[2em] [a^2-25]^2\implies (a^2-25)(a^2-25)\implies \stackrel{\mathbb{F~O~I~L}}{a^4-50a^2+25^2}\implies a^4-50a^2+625[/tex]

Leisure activities can be categorized as either active or passive and include a variety of pursuits from bowling, hunting, and team sports to reading, computer games, and television viewing. Technological advancements have led to an increase in sedentary leisure activities such as web surfing.

Leisure activities encompass a range of pursuits that individuals engage in during their free time for enjoyment, relaxation, and entertainment.

In contemporary society, leisure activities have evolved to include both active and passive forms.

Examples of active leisure activities that were popular in the past include sports such as bowling, hunting, fishing, boating, and golf, as well as attendance at team sports like baseball, basketball, and football.

These activities usually involve physical exertion and outdoor participation.

On the other hand, sedentary or passive leisure activities have grown in prevalence with advancements in technology, including computer games, web surfing, and television viewing.

Furthermore, cultural activities such as reading books and magazines, enjoying music, dancing, and art have remained significant leisure pursuits.

Examples of recreational goods and services include televisions, cable television, pets and pet products, sports equipment, and admissions to events or locations relating to these activities.

Final answer:

To find the speed of the current, we can set up equations for the boat's downstream and upstream speeds and solve for the current speed.

Explanation:

To find the speed of the current, let's assume the speed of the boat in still water is x mph. Since the boat's speed downstream is 60 mph, we can set up the equation:

(x + c) * t = 60

Where 'c' represents the speed of the current, and 't' represents the time taken. Similarly, the equation for the upstream speed of the boat (36 mph) can be written as:

(x - c) * t = 36

Simplifying these equations, we get:

x + c = 60/t

x - c = 36/t

Adding these equations, we obtain:

2x = 96/t

Solving for x, we get:

x = 48/t

Substituting this value back into one of the original equations, we can solve for t:

(48/t) + c = 60/t

Simplifying, we find:

c = 12/t

Therefore, the speed of the current is inversely proportional to the time taken for the downstream and upstream journeys.