Which of these systems of equations has infinitely many solutions? Explain your choice(s).
a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
b. 7x + 2y = -14
-7x + 2y = -14
c. x + 6y = -18
x - 6y = 18
d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12

Answers

Answer 1
The system of equations in C) x + 6y = -18 and x - 6y = 18 has infinitely many solutions.

To see this, you can solve for x in one of the equations and substitute that expression for x in the other equation. For example, if you solve for x in the second equation, you get:

x = 18 + 6y

Substituting this expression for x in the first equation gives:

(18 + 6y) + 6y = -18
24y = -36
y = -1.5

Substituting this value for y back into the expression for x gives:
x = 18 + 6y = 18 + 6(-1.5) = 18 - 9 = 9

So, one solution to the system of equations is (x, y) = (9, -1.5). However, since there is a variable on both sides of the equation, there are infinitely many solutions to this system of equations.

All of the other systems of equations have either no solutions or exactly one solution.

Related Questions

Anwita and her sister have $230 in total. Anwita has x dollars and her sister has 20
less than quadruple what Anwita has. How much more money does Anwita need to
have the same amount as her sister?

Answers

Answer:

$130

Step-by-step explanation:

x (the $ Anwita has) + y (the $ her sister has) = 230

y = 4x - 20

=> x+y=230 => x + 4x - 20 = 230

=> 5x - 20 = 230 => 5x = 250

=> x = 50

=> y = 180

the difference between 180 and 50 (180 - 50) is 130.

so, Anwita needs $130 more to have the same amount as her sister.

What about this one

Answers

Answer:

$9,167

Step-by-step explanation:

What is 31.83098862 to the nearest square inch ? Please help

Answers

Answer:

32

Step-by-step explanation:

The number to the right of the decimal is higher than 5, meaning you would round up.

write the slope intercept form of the equation of the line through (2,1) and (4,5)

Answers

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (2,1) and (4,5)

[tex]m=\frac{5-1}{4-2}\\m=\frac{4}{2}\\m=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] :

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

2) Determine the y-intercept (b)

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

Plug in one of the given points and isolate b

[tex]1=2(2)+b\\1=4+b[/tex]

Subtract both sides by 4

[tex]1-4=4+b-4\\-3=b[/tex]

Therefore, the y-intercept of the line is -3. Plug this into [tex]y=2x+b[/tex]:

[tex]y=2x-3[/tex]

I hope this helps!

Answer:

y=2x-3

Step-by-step explanation:

Slope formula:

[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}[/tex]

y2=5

y1=1

x2=4

x1=2

Solve.

5-1/4-2

Subtract.

5-1=4

4-2=2

Divide.

4/2=2

The slope is 2.

You have to solve with slope-intercept form.

[tex]\sf{y=mx+b}[/tex]

m represents the slope.

b represents the y-intercept.

y-intercept is -3.

[tex]\sf{\boxed{y=2x-3}[/tex]

So, the correct answer is y=2x-3.

Which choice is equivalent to the expression below?
810
O A. 92
O B. 1
O C. 81
O D.O

Answers

Answer:

B) 1

Step-by-step explanation:

any number (except zero) raised to the zero power is equal to 1

The answer to the question you are asking is C.81

Find the area of the polygon.​

Answers

Answer: 174

Step-by-step explanation:

Split into two rectangles, first one has area of 54, other has area of 120. Add

One angle is a right angle

Answers

Answer:

an angle with 90 degree is a right angle

Determine the lateral area and the surface area of a right rectangular prism that has rectangular bases measuring 2"x4" and a height of 8".​

Answers

Answer:

112 in^2

Step-by-step explanation:

Given data

Length =2in

Width= 4in

Height=8 in

The expression for the total surface area is

SA=2lw+2lh+2hw

SA= 2*2*4+2*2*8+ 2* 4*8

SA= 16+ 32+ 64

SA= 112 in^2

Hence the surface area is 112 in^2

The Lateral area or the total surface area of the prism is 112 [tex]in^{2}[/tex].

The lateral surface area of a rectangular object is the sum of the surface areas of all the sides, which is its total surface area.

According to the question, let us assume,

width w = 2 in

length l = 4 in

height h = 8 in

The lateral surface area is  

S = 2lw + 2lh + 2hw  since the opposite faces have same dimensions

S = 2×4×2 + 2×4×8 +2×2×8

S = 112 [tex]in^{2}[/tex]

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someone please help me

Answers

I think its G  dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddeddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddeddded

What is the growth factor of the following example? Assume time is measured in the units given.

A diamond mine is depleted by 1% per day.

a. 1.01 per day c. 0.99 per day
b. 0.01 per day d. 99 per day

Please select the best answer from the choices provided.

Answers

Answer:

C. 0.99 per day

Step-by-step explanation:

I calculated it logically

look at pic 10 pts will mark brainilest shsh

Answers

Answer:

D

Step-by-step explanation:

Divide and multiply

:)

Answer:

it d

Step-by-step explanation:

write 4/27 as the product of a prime raised to a power​

Answers

Answer:

write 4/27 as the product of a prime raised to a power

Ubehebe Crater in Death Valley has a diameter of a little more than mile. If Latisha walks around its
rim at a rate of 2 miles per hour, about how long will it take her to walk all the way around the crater? Find your
answer to the nearest tenth. Use 3.14 for pi

Answers

On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.

what is radius?

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter

here,

D= 1

r = 1/2 = .5

A = 40

T = 40/10 4 hrs.

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suki has 54 rock songs 92 dance songs and 12 classical songs on her playlist what is the probability that the song will not be classical song

Answers

Answer:

The probability that the chosen song is not a classical song is 92.4%.

Step-by-step explanation:

Given that Suki has 54 rock songs, 92 dance songs and 12 classical songs on her playlist, to determine what is the probability that the chosen song will not be a classical song, the following calculation must be performed:

54 + 92 + 12 = 158

158 - 12 = 146

158 = 100

146 = X

146 x 100/158 = X

14600/158 = X

92.4 = X

Therefore, the probability that the chosen song is not a classical song is 92.4%.

Answer:

92.4

Step-by-step explanation:

Give an example of a polynomial that is a perfect square. How do you know that it is a perfect square? Give its factored form.

Answers

Answer:

Step-by-step explanation:

A polynomial is a  perfect square if has the form:

[tex]a^2+2ab+b^2[/tex]

Its factored form is  [tex](a+b)^2[/tex].

We can obtain examples by taking any value of a and b.

For example:

[tex]a=x[/tex]  anb  [tex]b=2y[/tex].  

Thus we obtain a polynomial that is a perfect square:

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

El pepe el pepe el pepe

Answers

el pepe el pepe el pepe

Answer:

um-

Step-by-step explanation:

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

C is equal to 4.2, let me know if you need it with a different equation

Solve for B. Enter the number that goes under the radical Symbol​

Answers

The number that goes beneath the radical is 7

What is the Pythagoras theorem?

The Pythagoras theorem is used to find side or angle of a right angled triangle.

If you are dealing with any right triangle with  given sides, using the Pythagorean Theorem, as shown below, makes things relatively simple.

Note that the Pythagorean Theorem: is  a²+b²=c²

a  and b are both the smaller sides of the triangle, while c is the hypotenuse (the longest side of the triangle).

This impies in this case, that  we have 4 equivalent right triangles with given sides  and  for the hypotenuse, so let's see what we need to solve for by writing down what we know in a form following the Pythagorean Theorem.

The Pythagoras Equation is a²+b²=c²

Where  a=3, b =? c=4

Isolate the unknown value without plugging in our known values yet. This step is unnecessary, but can help if you have trouble with making mistakes with your algebra.

a²+b²=c²

⇒b²=c²-a²

a=√(c²-a²)

Plug in our given values and solve for .

a=√(4²-3²)

a=√(16-9)

a=√7

Conclusively, the radical number that goes beneath 7

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Complete question :

The complete question is found on the attachment

The sum of 9 and y is at most 27

Answers

Answer:

9 + y > 28

Step-by-step explanation:

Answer:

9 + y ≤ 27

Hope this helps!

if you need to know the y value, then y ≤ 18

Hope this helps!

Can someone Help me please

Answers

Answer:

Lower quartile= 4

Middle quartile= 6

Upper quartile=8

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

$33,672.68
$34,157.04
$33,299.42
$34,710.88
$34,389.55

Answers

Is 33,299.42 ok good luck

The requried, Mark will have paid a total of $34,389.55 after 5 years. The answer is option E, $34,389.55.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

We can use the formula for compound interest to find the total amount Mark will have paid after 5 years:

[tex]A = P(1 + r/n)^{(nt)}[/tex]

where A is the total amount paid, P is the principal (the original loan amount), r is the annual interest rate (as a decimal), n is the number of times per year the interest is compounded, and t is the time in years.

In this case, we have:

P = $25,690

r = 0.052 (5.2% expressed as a decimal)

n = 12 (compounded monthly)

t = 5

Substituting these values into the formula, we get:

[tex]A = $25,690(1 + 0.052/12)^{(12*5)}[/tex]

A = $34,389.55

Therefore, Mark will have paid a total of $34,389.55 after 5 years. The answer is closest to option E, $34,389.55.

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8th-grade mathematics

Answers

Answer:

1072.33 cm^3

Step-by-step explanation:

formula

(2/3)*pi*(r)^3

1072.33 cm^3 is the answer

I REALLY NEED HELP WITH PLINK A PLUNK

Answers

Therefore ,We can see that in equation 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable.

Describe equation.

A mathematical statement known as an equation is created by joining two expressions using the equivalent sign. For instance, 5x - 5 = 25 is an equation. We can find that the variable x has a value of 6  by resolving this equation.

Here,

we need to convert everything to the same unit in order to establish a legitimate comparison when comparing units like inches, feet, and yards. Therefore, we would have to convert everything, for example, to inches. For these five coins, the same concept holds true. Either lorgs, sinds, plunks, harps, or dalts must be used for everything (pick one of those five).

It's equivalent to attempting to change a dollar amount into cents (for example, $1.37 becomes 137 cents). The alternative is to think about it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The procedures in the various parts below are designed to convert all coinage to lorgs, which will serve as our base unit. Trial and error led me to the conclusion that the lorg coin had the lowest worth, thus I'm striving to obtain everything in lorgs.

The four equations provided are

4 lorgs to a sind

5 dalts x 2 plunks

2 harps from 5 sinds.

3 harps equal 1 plunk.

In that order, I'll refer to them as equations (1) through (4).

One sind equals four logs (1)

5 sinds = 20 lorgs; add 5 to both sides.

2 harps = 20 lorgs; in the equation, swap out "5 sinds" with "2 harps" (3)

1 harp = 10 lorgs; multiply both sides by 2, then write this as an equation (5)

Equation: 1 plunk = 30 lorgs (6)

Each of those equations enables us to determine the lorg value of the coins sind, dalt, harp, and plunk.

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The complete question is : " A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.1 sind = 4 lorgs ,2 plunks = 5 dalts ,5 sinds = 2 harps , 1 plunk = 3 harps Which coin is the most valuable? a) sindb) daltc) harpd) plunk"

Mean of 8, 3,5
and mean of 44,89,23

Answers

Answer:

mean of 8,3,5 = 5.333 or 16/3

mean of 44,89,23 = 52

Step-by-step explanation:

Answers and step-by-step explanations:

To find the mean, first, we are going to add all of the numbers, and divide by how many numbers there were. The first data set is:

8, 3, 5

Add them all up:

8 + 3 + 5 = 16

Then, since there were three numbers, we divide 16 by 3.

16/3 = 5.33

Therefore, the mean of 8, 3 and 5 is around 5.33.

The second data set is:

44, 89, 23

Add them up:

44 + 89 + 23 = 156

Then, divide it by how many numbers there were, which is 3.

156/3 = 52

Therefore, the mean of 44, 89 and 23 is 52. Hope this helps!

Solve each equation for both variables help please 15 points

Answers

Answer:

I hope this helps. Do let me know if you have any doubts and wish me luck I have my maths exams tomorrow!

Is it possible to scan a screenshot?

Answers

To be honest  i dont know  but u can try to find something like that to help u ?

I don’t know but I think YES

the value of polynomial 5x - 4x square +3 when x=1​

Answers

Step-by-step explanation:

[tex]5x - 4 {x}^{2} + 3[/tex]

[tex]5(1) - 4 {(1)}^{2} + 3 \\ 5 - 4 + 3 = 4[/tex]

Step-by-step explanation:

Solution:

Given polynomial

5x - 4x² + 3

put x = 1

→ 5(1) - 4(1)² + 3

→ 5 - 4(1) + 3

→ 5 - 4 + 3

→ 8 - 4

→ 4.

According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is still accurate, a random sample of 100 American adults is selected. It is discovered that 18 of them work more than one job. A researcher would like to know if the data provide convincing evidence that the true proportion of American adults who work more than one job differs from 12%. Are the conditions for inference met? Yes, the conditions for inference are met. No, the 10% condition is not met. No, the Large Counts Condition is not met. No, the randomness condition is not met.

Answers

Answer: The conditions for inference are met in this scenario.

In order to use inference to determine if the true proportion of American adults who work more than one job differs from 12%, the following conditions must be met:

The sample must be randomly selected from the population.

The sample size must be large enough (usually at least 30).

The sample must be representative of the population.

In this case, it is stated that a random sample of 100 American adults was selected, which meets the first condition.

The sample size of 100 is also large enough, which meets the second condition.

There is no information given about whether the sample is representative of the population, but this is not necessary for the conditions for inference to be met.

Therefore, the conditions for inference are met in this scenario.

Step-by-step explanation:

helppp...........................math ​

Answers

Answer is 3x/2
Step by step exploration
90 min=1.5 h= 3/2 h

WILL MARK BRAINLIEST

M

Answers

Answer:

∠BEC = 119°

Step-by-step explanation:

∠BAC = 47° because it is an alternate interior angle to 47°

∠BEA = 180 - 47 - 72 = 61°

∠DEC = ∠BEA because they are vertical angles

∠BEC = ∠DEA because they are vertical angles

∠BEC + ∠DEA + ∠BEA + ∠DEC = 360°

∠BEC + ∠DEA + 61 + 61 = 360°

∠BEC + ∠DEA = 238°

since ∠BEC = ∠DEA, then ∠BEC = 238/2 = 119°

Other Questions
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