Answer:it would be infinalty many
Step-by-step explanation:
The statement "There are infinitely many solutions" is true about the solution to the set of equations, as the lines represented are coincident.
To determine the solution to the set of equations, we can solve them simultaneously.
Given:
- Equation of Line A: 3x + 3y = 12
- Equation of Line B: x + y = 4
To find the solution, we can use methods like substitution or elimination. Here, let's use the elimination method:
Multiply the second equation by 3 to match the coefficients of \(y\) in both equations:
3(x + y) = 3(4)
3x + 3y = 12
Now, we can see that both equations represent the same line, so they are coincident or overlapping. Therefore, there are infinitely many solutions.
Hence, the statement "There are infinitely many solutions" is true about the solution to the set of equations.
a line passes through the point (9,-3) and has a slope of negative 2 over 3. write an equation in slope intercept form for this line
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.
Which fraction converts to a terminating decimal number
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:
Cindy recycles 54 pounds of paper. She recycles 9 times as many pounds of paper Monica recycles. How can I solve the equation to find the number of pounds of paper Monica recycled?
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.
Ayuda por favor
I need help
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.
solve for x 6=1 over 3x+5
[tex]6 = 1 \: \over 3x + 5[/tex]
Help!!! Plzzzz! Thx btw! (If u helped me)
Answer:
-4×5+3=,lost 20 pounds and gained 3 pounds
Step-by-step explanation:
You own 6 pairs of jeans and want to take 2 of them with you on vacation,in how many ways can you choose 2 pairs of jeans?
A-10
B-12
C-15
D-20
Answer:
your answer is 20. Hope this helped! :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
its 15
What is the area of sector BEC when CE = 9 yd?
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.
How to find the area of a sector of a circle?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:
[tex]A = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]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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What is the center of the circle? Please show steps!
Answer:
A. (0, 4)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 product of two even consecutive numbers, the smaller of which is equal to 2n.
the second even number is 2n + 2
2n (2n+2)
4n^2 + 4n
[tex]4 {n}^{2} + 4n[/tex]
Need to show a 5 step problem on how to get the answer. Using x and y
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
Which statements is an axiom of euclidean geometry?
A. If two lines intersect, their intersection is a plane.
B. If two planes instersect, their intersection is a point.
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.
E. Given any two points A and B, there are exactly two lines that contain those points.
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
perform the multiplication
(a–5)^2(5+a)^2
[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]
Analyze the diagram below and complete the instruction that follow.
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.
Which system of equation cannot be directly solved by applying the elimination method?
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.
Cups are being manufactured for a set. The diameter of the mouth of the cup must be 5in ± 8%. A sample of cups have the diameters shown in the table. Which cup is not within the specified tolerance?
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.
Explanation: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.
How to transform this to vertex form 2x^2-18x+8
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
The soccer coach claimed that on average only 80% of the team come to practice each day if the team has 20 members how many team members should come to practice to uphold the coach’s claim
Answer:
16 team members.
Step-by-step explanation:
To find 80% of 20, multiply 20 by 0.8.
20 × 0.8 = 16.
which of the following are leisure activities
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.
Explanation: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.
How to solve
100x0.25
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?
so if marissa walks from her home to the store, then to the park,then back home. How far does she walk in all?
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
How many references should you have ready to list if an employer asks for them? a. 1-3 b. 3-5 c. 5-7 d. 7-9 Please select the best answer from the choices provided A B C D
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.
The student council at woodland middle school is planning a field trip. They polled randomly selected teachers and students and asked what they want to eat for lunch. The result are shown in the table below. Which of the following statements is true?
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.
HELP PLZZZZ BRAINLIEST! Which stem-and-leaf plot represents the data 10, 70, 37, 65, 88, 86, 70, 10, 15, 15, 15?
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.
What are stem and leaf?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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FGH IS A RIGHT TRIANGLE ? True or false
♫ - - - - - - - - - - - - - - - ~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
PLEZ NEED HELP ASAP 24.455−18.246
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
A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream the speed of the boat in Stillwater is 15 mph greater than the speed of the current find the speed of the current
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.
Which odd number comes right after 14?
the odd number after 14 is 15
Answer:
The odd number after 14 is 16
Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6 ANSWER: {( a0)}
I need a 100% right answer
14 pts.
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].
If the radius of the circle was doubled what effect would it have on the area
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).