Do only equations with variables on both sides have no solution? Or can the variable be just on one side? Justify your answer. Choose the correct answer below.
A. Every equation with variables on both sides has no solution. However, it is also possible for an equation with the variable on only one side to also have no solution.
B. If the variable only appears on one side of an equation, then the equation can always be solved for the variable. This means that if an equation has no solution, then the variable must appear on both sides.
C. Any equation can have one solution, infinitely many solutions, or no solutions. This does not depend on whether the variable appears on only one side or on both sides.
D. If the variable only appears on one side of an equation, then the equation can always be solved for the variable. By contrast, an equation with variables on both sides always has no solution or infinitely many solutions.
Answer:
No only variable on both sides have no solution
Step-by-step explanation:
Then you can get,
for example x=x
or,
y=y
Answer:
Option CStep-by-step explanation:
A. Every equation with variables on both sides has no solution. However, it is also possible for an equation with the variable on only one side to also have no solution.
False, the first pat incorrect. The equation can be simplified to have variable on one side and solved further.B. If the variable only appears on one side of an equation, then the equation can always be solved for the variable. This means that if an equation has no solution, then the variable must appear on both sides.
False, the second part is incorrect. If an equation has no solution, then variables disappear and it results in nonsense equation.C. Any equation can have one solution, infinitely many solutions, or no solutions. This does not depend on whether the variable appears on only one side or on both sides.
TrueD. If the variable only appears on one side of an equation, then the equation can always be solved for the variable. By contrast, an equation with variables on both sides always has no solution or infinitely many solutions.
False, the second part is incorrect. The variables can be taken to the same side of equation. If they cancel and leave a correct equation, then it results in infinitely many solutions. If they cancel and leave incorrect equation, then it results in no solution. If it simplifies with variable on one side, then there is one solution.Write the following expression using exponents -3x7x7x7x7x7x7
Solution -:
\( \bold{ \underline{ \underline{Given}}}\)
-3x7x7x7x7x7x7
\(\bold{\underline {\underline{lets \: begin}}}\)
We have,,
\( -3 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \\ = - 3¹ \times {7}^{6} \)
exponent and shortcut to express a multiplication of number by itself several times explain us how many time we should multiply the number by itself this process of using exponent is called raising to a power where the exponent is the power.Law of exponent -: a ⁰ = 1 a ^ m × a ^ n (a^m)^na^m × b^ mAs like example→ 2⁴
here 2 is base and 4 is power , index or exponent. and 2⁴ is known as Exponential form.
if line segment c b. bisects ∠acd, what additional information could be used to prove δabc ≅ δdbc using sas? select three options.
We proved that triangle abc ≅ triangle dbc.
What is bisector?A straight line that divides any line or any angle in equal two parts.
In the given question, line segment cb is a bisector.
How can we prove Δabc ≅ Δdbc?
Let, adc is an isosceles triangle and hence, side ac = side dc
cb is a perpendicular line on the base of triangle ad.
As per given condition line segment cb bisect the angle acd.
As a result, two equal angles ∠acb and ∠dcb is formed
And line segment cb divide the base ad of the Δacd in equal two parts.
Therefore, ab = bd, ∠acb = ∠dcb
and because of isosceles triangle ac= dc
After all these discussion for the triangle acb and triangle dcb
three side lengths are equal and also have an equal angle.
Δabc ≅Δdbc (proved)
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A producer of pottery is considering the addition of a new plant to absorb the backlog of demand that now exists. The primary location being considered will have fixed costs of $9,200 per month and variable costs of 70 cents per unit produced. Each item is sold to retailers at a price that averages 90 cents.
a. What volume per month is required in order to break even?
Volume per month Units
b-1. What profit would be realized on a monthly volume of 61,000 units? (Omit the "$" sign in your response.)
Profit $
b-2. What profit would be realized on a monthly volume of 87,000 units? (Omit the "$" sign in your response.)
Profit $
c. What volume is needed to obtain a profit of $16,000 per month?
Volume per month units
d. What volume is needed to provide a revenue of $23,000 per month? (Round your answer to the nearest whole number.)
Volume per month units
a. The Volume per month is required = 46,000 units
b-1. The profit on a monthly volume of 61,000 is $3000
b-2. The Profit on a monthly volume of 87,000 units is $8,200
c. Volume is needed to obtain a profit of $16,000 per month is 126,000units
d. Volume is needed to provide a revenue of $23,000 per month is 25,556 units.
Production:Proper production is pivotal in making the the business successful. There are many factors to consider to make sure that the production is at maximum efficiency. Example factors include the cost of materials, the quantity to produce, the selling price of the product, and the fixed and variable cost of the product.
a. There should be 46,000 units in order to break even.
The break-even formula is:
Break even = Fixed cost / Price - Variable cost
= 9,200/ 0.9 - 0.7
= 46,000
Volume per month = 46,000 units
b-1. The profit realized is $3,000 when monthly volume is 61,000 units.
The formula is:
Profit = Price × quantity - (fixed cost - variable cost × quantity)
Profit = 0.9 × 61,000 - (9,200 + 0.7 × 61,000)
Profit = 54,900 - 51,900
Profit = 3,000
b-2. The profit realized is $8,200 when monthly volume is 87,000 units.
Profit = 0.9 × 87,000 - (9,200 + 0.7 × 87,000)
Profit = 8,200
c. The monthly volume when profit is $16,000 is 126,000 units.
The formula is : Quantity = \(\frac{Profit+fixed cost}{Price-variable cost}\)
Quantity = \(\frac{16,000+9,200}{0.9-0.7}\)
Quantity = 126,000
d. The volume needed to provide a revenue of $23,000per month is 25,556 units.
Quantity = Revenue/ Price
Quantity = 23,000/ 0.9
Quantity = 25,556
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Enter the value that belongs in the
green box.
56
N
Х
34
26
tan 56° =
Answer:
the value that belongs there is 26
Step-by-step explanation:
sin56
Since tan56 = -----------
cos56
sin56 = 26/z
cos 56 = x/z
tan56 = 26/x
twi people walk away from same point. one person walks 5 meter to the east and other person walked 12 to the north. what is the distance between the final positions of the 2 people.
1. 15
2. 13
3. 20
4. 10
The distance between the final positions of the two people is 13 meters. So, the correct answer is option 2.
To find the distance between the final positions of the two people, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, one person walks 5 meters to the east, and the other person walks 12 meters to the north. This forms a right triangle, with the person who walked to the east representing the horizontal leg of the triangle and the person who walked to the north representing the vertical leg of the triangle.
Using the Pythagorean theorem, we can calculate the distance between the final positions as follows:
\(Distance^2 = (5^2) + (12^2)\\Distance^2 = 25 + 144\\Distance^2 = 169\)
Taking the square root of both sides, we find:
Distance = √169
Distance = 13
Therefore, the distance between the final positions of the two people is 13 meters. So, the correct answer is option 2.
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Could someone please let me know the amounts for the blank sections? I'd really appreciate it :)
To determine the missing amounts in each situation, let's analyze the given information.Situation a: Supplies available-prior year end: $3,578
Supplies purchased during the current year: $675
Total supplies available: $4,725
To find the missing amount, we can subtract the known values from the total supplies available:
Missing amount (Situation a) = Total supplies available - (Supplies available-prior year end + Supplies purchased during current year)
= $4,725 - ($3,578 + $675)
= $4,725 - $4,253
= $472
Therefore, the missing amount in Situation a is $472.
Situation b:
The missing amount is already provided in the question as $12,165.
Situation c:
Supplies available-current year-end: $3,041
Supplies expense for the current year: (unknown)
To find the missing amount, we need to determine the supplies expense for the current year. However, based on the given information, there is no direct indication of the supplies expense. It is not possible to determine the missing amount in this situation without additional information.
Situation d:
Supplies available-current year-end: $5,400
Supplies expense for the current year: $24,257
To find the missing amount, we can subtract the known supplies expense from the supplies available at the current year-end:
Missing amount (Situation d) = Supplies available-current year-end - Supplies expense for the current year
= $5,400 - $24,257
= -$18,857 (negative value indicates a loss)
Therefore, the missing amount in Situation d is -$18,857 (indicating a loss of $18,857).
In summary, we were able to determine the missing amounts in Situations a and d, while Situations b and c already provided the missing amounts in the question.
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Find the midpoint of the line segment joining the points (-2,-2) and (-6,9).
Answer:
\(m=(-4,\frac{7}{2})\) or \((-4,3.5)\)
Step-by-step explanation:
m = midpoint
\(m=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)
\(m=(\frac{-2+(-6)}{2},\frac{-2+9}{2})\)
\(m=(\frac{-8}{2},\frac{7}{2})\)
\(m=(-4,3.5)\)
What is the result of adding these two equations?
5x - y = 6
- 2x + y = 8
Answer:
x = 14/3
y = 52/3
Step-by-step explanation:
Take the 1st equation plus with the 2nd equation
we got,
3x = 14
x = 14/3
take the value of x and insert in the 2nd equation
-2(14/3) + y = 8
y = 52/3
BEST ANSWER GETS BRAINLIEST
Answer:
48
Step-by-step explanation:
k should be 48 because if 33 is 15 less than k than would mean k is 15 more than 33= 33 + 15 = 48
the scale of a map is 1cm : 2km. if the length of Alfreda creek on this map is about 2.85 cm, calculate the actual length of the creek
1 cm..............2 km = scale of the map
2,85 cm....... n km = to be calculated
n x 1 = 2 x 2,85
n = 5,7 km
Step-by-step explanation:
1cm rep 2km
2.85x2
=5.7
=5.7km
Select all pairs that are like terms.
1.) -4n and 18n
2.) 15ab and 2ab
3.) 17f and 17
4.) 3w and 3y
5.) 14h and -3h
6.) 5w and 5w²
All the pairs that are like terms are given as follows:
1.) -4n and 18n
2.) 15ab and 2ab
5.) 14h and -3h
What are like terms?Like terms are terms that share these two features:
Same letters. (algebraic variables).Same exponents.If two terms are like terms, then they can be either added or subtracted.
The like terms for this problem are given as follows:
1.) -4n and 18n -> algebraic variable of n, exponent of 1.
2.) 15ab and 2ab -> algebraic variable of ab, exponent of 1.
5.) 14h and -3h -> algebraic variable of h, exponent of 1.
For example, the pair in item 3 is of terms that are not like terms, as they have different algebraic variables, f and 1.
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what are quadrilateral and diagonal lines that have equal length,the point of intersection divides both diagonals equally and perpendicular
Answer: A parallelogram with one right angle is a rectangle. A quadrilateral whose diagonals are equal and bisect each other is a rectangle.
24/9 into a number line
Answer: a little more than halfway between 2 and 3
Step-by-step explanation: you need to find out the simplist orm, then you find out the extra decimal places(for this one its 2.666...) you need to find where that would be on a number line and there you have it!!
Hope this helped!! <3
help help help help
Answer:
x=30 ; y=60 ; z=120.
Step-by-step explanation:
(we can solve it in a system.)
z+2x=180 => z=180-2x
y+4x=180 => y=180-4x
y+z=180
4x+2x=180 => 6x=180 => x=30
<=>
z=180-2*x=180-2*30=180-60=120
y=180-4x =180-4*30=180-120=60
The number of hours of sunshine in Barbados for successive days during a and 11.8. Find the daily certain week were 11.1, 11.9, 11.2, 12.0, 11.7, 12.9 average. The following week the daily average was 11 hours. How many more hours of sunshine were there the first week than the second?
Answer:
5.6
Step-by-step explanation:
11*7=77
11.8*7= 82.6
82.6-77=5.6
if someone solves this there are 4 more of the same question! Rex and Samir participated in a walkathon. Rex walked for 1 2/3 hours, and Samir walked for 3 1/3 hours. complete the comparison. Samir walked _____ times ad many hours as Rex walked.
Answer:
2 times as much
Step-by-step explanation:
1 hour 2/3 = 60 + (2/3) 40 mins = 100 minutes
3 hours 1/3 = (60 ×3 ) + 20 mins = 200 mins
200 is twice as much as 100
find a formula for the exponential function that gives the value of an item initially worth $5000 that loses half its value every 5 years.
The formula for the exponential function is V = 5000 (2)^(−t/4).
What is an exponential function?
A function whose value is a constant raised to the power of an argument is called an exponential function.
Here, we have
The value of an item initially worth $5000 loses half its value every 5 years.
V = V₀eˣⁿ
At t = 0,V = V₀
So, V = 5000eˣⁿ
At t = 4,V = V₀/2 = 2500
Substituting these into our equation, we have
5000e^(4k) = 2500
e^(4k) = 12
4k = −ln2
k = −ln2/4
Finally, we have our equation
V = 5000e^(−tln2/4 )
V = 5000(e^ln2)^(−t/4)
V = 5000 (2)^(−t/4)
Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).
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There are 48 people in gym class. What fraction represents the number of people running?
5/8 of the people were in spin class.
1/3 of the people were lifting weights
The remaining people were running
A. 1/8
B. 1/24
C. 1/12
D. 23/24
Answer:B
Step-by-step explanation:
5/8 of 48 is 30.
1/3 of 48 is 16.
So 30 people are spinning and 16 are lifting weights.
48-30-16=2
There are two people left out of 48.
2/48 reduces to 1/24.
What single decimal multiplier would you use to decrease by 18% followed by a 19% increase?
The multiplier for the 18% decrease would be 1-18 = 0.82
The multiplier for the 19% increase would be 1.19
The single multiplier would be: 0.82 x 1.19 = 0.9758
Answer:
0.9758
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simplify (2/5÷3/8)÷(-3/5)
Answer:
\( \pink{ - 1 \frac{7}{9} }\)
Step-by-step explanation:
\(( \frac{2}{5} \div \frac{3}{8} ) \div ( - \frac{3}{5} ) \\ (\frac{2}{5} \times \frac{8}{3} ) \times ( - \frac{5}{3} ) \\ \frac{16}{15} \times - \frac{5}{3} \\ - \frac{80}{45} \)
As the answer can be more simplified, divide both numerator and denominator by 5.
\( - \frac{16}{9} = - 1 \frac{7}{9} \)
A line has a slope of 3 and passes through the point (8, 261. What is the
equation of the line?
Answer:
Step-by-step explanation:
We know that the form of line passing through point (x₀ , y₀) and having slope m is :
y - y₀ = m(x - x₀)
Here the line passes through the point (5 , -3)
⇒ x₀ = -2 and y₀ = -5
Given : Slope(m) = -8
Substituting all the values in the standard form, We get :
Equation of the line : y + 3 = -8(x - 5)
On another planet, the isotopes of titanium have the given natural abundances. What is the average atomic mass of titanium on that planet? average atomic. mass \( = \)
Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.
To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.
Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:
Isotope Natural Abundance
Titanium-46 70%
Titanium-47 20%
Titanium-48 10%
To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.
Average Atomic Mass of Titanium:
(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)
=(32.2amu)+(9.4amu)+(4.8amu)
=46.4amu
Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).
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how to send kred to a krew member
To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.
Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.
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calculate the following fractions and leave the answer correct to two decimal places. 3 2/5 - 2 2/3
Answer:
0.73
Step-by-step explanation:
3 2/5 = 17/5, 2 2/3 = 8/3
17/5 - 8/3
3/3 x 17/5 = 51/15
5/5 x 8/3 = 40/15
51/15 - 40/15 = 11/15
11/15= 0.73
Answer Scale Factor Question
Answer:
scale factor = \(\frac{1}{4}\)
Step-by-step explanation:
Given
A(4, - 2 ) → A'(1, - \(\frac{1}{2}\) )
To determine the scale factor compare the ratio of corresponding coordinates, image to original, that is
scale factor = \(\frac{1}{4}\) = \(\frac{-\frac{1}{2} }{-2}\) = \(\frac{1}{4}\)
Cameron and Lindsey need to make 160 cookies for the bake sale. Cameron made 2/5 of the cookies Lindsey made 16 cookies What fraction of the cookies do they still need to make?
The fraction of the cookies do they still need to made after Cameron and Lindsey made 80 cookies is 1/2.
Fractions are referred to as the components of a whole in mathematics. A single thing or a collection of objects might be the entire. When we cut a slice of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Roman. "Fractus" means "broken" in Latin.
The fraction was expressed verbally in earlier times. It was afterwards presented in numerical form. A piece or sector of any quantity is another name for the fraction.
Total cookies to be made is 160
Out of which Cameron made 2/5 of the cookies so,
2/5 x 160 = 64 cookies are made by Cameron
Lindsey made 16 cookies
So total cookies that still need to be made is,
= 160 - (64 + 16) = 80
The fraction of cookies still need to made is 80/160 = 1/2 .
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(The fundamental theorem of arithmetic). Use strong induction to show that every natural number greater than 1 can be written as a product of primes. Hint. Use the inductive hypothesis that every number n satisfying 2 ≤ n ≤ m can be written as a product of primes n = p1p2 · · · pr for some positive integer r.
The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a product of primes. Using strong induction, we can prove this.
Let's proceed with the strong induction proof. We start by considering the base case, where m = 2. Since 2 is prime, it can be written as a product of primes itself.
Next, we assume that for all natural numbers k such that 2 ≤ k ≤ m, the statement holds true, i.e., k can be expressed as a product of primes. Now, we aim to prove that m+1 can also be expressed as a product of primes.
We know that m+1 is either prime itself or composite. If m+1 is prime, then it can be written as a product of a single prime, satisfying the theorem.
On the other hand, if m+1 is composite, it can be written as a product of two positive integers a and b, where 2 ≤ a ≤ b ≤ m. Since a and b are both less than or equal to m, we can apply the inductive hypothesis to express a and b as products of primes. Therefore, we can write m+1 as a product of primes by combining the prime factorizations of a and b.
By strong induction, we have shown that for any natural number m greater than 1, it can be expressed as a product of primes. This completes the proof of the fundamental theorem of arithmetic.
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Please help me I’m timed X + 1/4=3/4
Answer:
1/2 or 0.5!!!!!!!!!!!!!
Answer:
x=1/2
Step-by-step explanation:
take 1/4 from each side to get x on it's own.
Many animals, plants, or other objects in the world have reflection or rotation symmetry. Give 2 examples and describe the symmetry in as much detail as possible.
Line of symmetry is just splitting an object in half, if you fold this object onto itself over this line the sides should be equal.
" Give 2 examples and describe the symmetry in as much detail as possible."
If we separated an elephant using reflectional symmetry each side would have 1 ear, 2 legs, half a tail, half a trunk, and 1 eye.
If we separated a lamp using reflectional symmetry each side would have half a lamp shade, half a lamp base, half a light blub.
Hope this helps!