Given that (3,3,-2) is a solution to the given system, which of the following statements are possibly true of the system? Check all the boxes that apply.

Given That (3,3,-2) Is A Solution To The Given System, Which Of The Following Statements Are Possibly

Answers

Answer 1

Answer: the system is consistent

The system is independent

Step-by-step explanation:


Related Questions

say something there are 30 points in game

Answers

Answer:

Thats pretty neat

Step-by-step explanation:

Life

a restaurante bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.

Answers

Answer:

$35.79

Step-by-step explanation:

Bill:                   $28.35

Tip of 20%:      $5.67     ( 28.35*0.2)

Tax of 6.25%:  $1.77      ( 28.35*6.25)

Total:               $35.79

Answer:

$35.79

Step-by-step explanation:

28.35(0.2 tip)

=5.67

28.35(0.0625 tax)

=1.77

$28.35 + $5.67 tip + $1.77 tax

=$35.79

Hope this helps

please mark me brainliest it would help(✿◠‿◠)


The circumference of a circle is 47 m. Find its diameter, in meters.

Answers

C= 2pir
= piD
D= C/pi
= 47/pi
= 14.96 (to 2 decimal places)

There are 38,412 nurses registered in the region this year. There are about __________
less nurses than last year when there were 42,198 nurses.
a. 3,800 b. 3,900 c. 4,600

Answers

Answer:

A. 3,800

Step-by-step explanation:

42,198 - 38,412 = 3786

Final answer:

To find the decrease in the number of registered nurses from last year, subtract this year's nurse count, 38,412, from last year's, 42,198, which results in 3,786, rounded to 3,800 (option a).

Explanation:

The question asks to calculate the difference in the number of nurses registered this year compared to last year. The registered nurses this year are 38,412, and last year there were 42,198 nurses. To find the difference, we subtract the number of nurses this year from the number last year.

Number of nurses last year: 42,198

Number of nurses this year: 38,412

Difference = 42,198 - 38,412 = 3,786

The closest round number to the actual difference (3,786) is 3,800, which is option (a).

7t2 – 14t
------------------
4t2 – 9

this is a fraction does it have any excluded values and why

Answers

Final answer:

The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.

Explanation:

The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.

First, notice that the denominator is a difference of squares, which factors as follows:

4t2 − 9 = (2t + 3)(2t - 3)

Next, we set each factor of the denominator equal to zero to find the excluded values:

2t + 3 = 0, which yields t = -3/22t - 3 = 0, which yields t = 3/2

Therefore, the excluded values are t = -3/2 and t = 3/2.

The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.

The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.

First, notice that the denominator is a difference of squares, which factors as follows:

4t2 − 9 = (2t + 3)(2t - 3)

Next, we set each factor of the denominator equal to zero to find the excluded values:

2t + 3 = 0, which yields t = -3/2

2t - 3 = 0, which yields t = 3/2

Therefore, the excluded values are t = -3/2 and t = 3/2.

13 feet = how many yards and feet

Answers

Answer:

13 feet= 4.33333 yards

Step-by-step explanation:

Answer:

4 yards and 1 foot

Step-by-step explanation:

I yard is 3 feet. 13 divided by 3 is 4 with the remainder of one foot.

THIS IS DUE TODAY!!!!
PLEASE HELP!!!!

Answers

Answer:Rectangle NOSR is similar to LOSP.

Step-by-step explanation: The length of the sides are similar. (18 * 2/3 = 12, 12 * 2/3 = 8)

I’m in the same thing !! I need help alas

The box plots show attendance at a school dance competition and school badminton games.

Box plots titled Attendance at School Dance Competitions versus School Badminton Games with horizontal axis labeled Attendance ranges from 50 to 160. Dance Competition box plot with minimum approximately at 60 and maximum approximately at 150 has interquartile ranges approximately between 60 and 130 and median approximately between 90 and 100. Badminton box plot with minimum approximately 90 and maximum approximately at 150 has interquartile ranges approximately between 90 and 150 and median approximately between 120 and 130.

Which of the following best describes how to measure the spread of the data?

The standard deviation is a better measure of spread for dance competitions than for badminton games.
The IQR is the best measurement of spread for badminton games and dance competitions.
The IQR is a better measure of spread for dance competitions than for badminton games.
The standard deviation is the best measurement of spread for badminton games and dance competitions.

Answers

Answer:

The IQR is a better measure of spread for dance competitions than for badminton games.

Step-by-step explanation:

I understand from "Dance Competition box plot has interquartile ranges approximately between 60 and 130" that quartile 1 is at 60 and quartile 3 is at 130, then, the interquartile range (IQR) is 130 - 60 = 70.

Similarly, from Badminton box plot, quartile 1 is at 90 and quartile 3 is at 150, then, the interquartile range is 150 - 90 = 60.

IQR is a measure of statistical dispersion, that is, as IQR increase, spread increase.

The statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Recall:

Interquartile range (IQR) is the difference between the first quartile and the third quartile.From a box plot, the first quartile and the third quartile can be found at both ends of the rectangular box, which can be used to determine the IQR of a data set.IQR is a measure of spread.

Since the data is plotted on a box plot, IQR can easily be gotten which is a measure of spread.

Therefore, the statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Learn more about interquartile range on:

https://brainly.com/question/9386254

What is the alternator-to-engine drive ratio if the
alternator turns at 1125 rpm when the engine is idling
at 500 rpm?​

Answers

Answer:

720

Step-by-step explanation:

hope it helps

Answer:

2.25 : 1

Step-by-step explanation:

Since the ratio is 1125 rpm for the alternator: 500 rpm for the engine, find the unit rate.

1125 : 500     Divide both sides by 500

2.25 : 1         For every turn of the engine, there are 2.25 turns of the alternator.

If this answer is correct, please make me Brainliest!

In January, Toby's bookstore sold books. In February, he sold 20% more books.
How many books did he sell in February? *

Answers

Answer:

450

Step-by-step explanation:

The average height of a 17-year-old girl in the US is about 64 inches with a
standard deviation of 2.8 inches. Without using a calculator, estimate the
probability of 17-year-old girl in the US that are between 58.4 inches and 69.6
inches.​

Answers

the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .

Step-by-step explanation:

Step 1: Sketch the curve.

The probability that 58.4<X<69.6 is equal to the blue area under the curve.

Step 2:

Since μ=64 and σ=2.8 we have:

P ( 58.4<X<69.6 ) = P ( 58.4−64 < X−μ < 69.6−64 )=P ( 58.4−64/2.8 <  X−μ/σ< 69.6−64/2.8)

Since Z = x−μ/σ , 58.4−64/2.8=−2 and 69.6−64/2.8=2 we have:

P ( 58.4<X<69.6 )=P ( −2<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( −2<Z<2 )=0.9544

Therefore, the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .

I need to find the line of the slope that passes through the points (-2,3) and (-14,-5) answer in simplest form

Answers

Hope this will help u....:)


You earn 60 dollars for mowing 5 lawns how much do you earn for mowing 15 lawns

Answers

well 60/5=12

so you get $12 per yard

12*15=180

or you could notice that 5 goes into 15 3 times and then multiply 60*3 any way the answer is 180

You would earn $180 if you did 15 yards

Brian and Colin win some money and share it in the ratio 5:1. Brian gets £50. How much did Colin get?

Answers

Answer:

£10

Step-by-step explanation:

Divide the amount Brian gets by 5 to find the value of one part of the ratio.

£50 ÷ 5 = £10 ← value of 1 part of the ratio

Colin gets 1 part of the ratio, that is £10

Add the the ratio 5:1

It will be 5+1=6

Remember that 6 is the total ratio equivalent to £50 and we only wanted to obtain Collins gain so you say

Collins is represented with the ratio 1 while Brian 5

If 6=£50 what about 1
1×£50/6 which you will give you £8.3

What are the roots of the quadratic function in the graph?

Answers

Answer:

The roots would be -4 and 2.

Step-by-step explanation:

Roots are always going to be where the graph crosses the x axis.  In this case, the graph crosses the x axis at -4 and 2.

Hence, the roots are -4 and 2.

A package of balloons contains 5 green, 3 yellow, 4 red, and 8 pink balloons. Suppose you reach in the package and choose one balloon at random. What is the probability of choosing a balloon that is NOT GREEN?

Answers

Answer:

15/20 or 3/4 or 75%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

first add up all the balloons: 5 + 3 + 4 + 8 = 20

then subtract the green: 20 - 5 = 15

now create your fraction: 15/20

simplify by 5: 3/4

change to percent : 3/4 = .75 x 100 = 75%

PLZZ ANSWER THIS AS SOON AS POSSIBLE!!!!

Answers

Answer:

y = -9.3

if they are complementary it is 45 degrees

if they are supplementary it is 90 degrees

Step-by-step explanation:

-12.7 = y -3.4

-12.7 + 3.4 = y -3.4 + 3.4

-9.3 = y

complementary angles equal to 90 degrees

supplementary angles equal to 180 degrees

vertical angles have same degrees

so 90/2= 45

180/2 =90

maybe -16.1

and how are you sending the photo

Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance between the train stations in New York and Boston is 240 miles. The average speed of train A is 60 mph, which is 3/4 of the average speed of train B.

How soon will the trains meet?

Answers

Answer:

After 1.7 hours

Explanation:

1. Calculate the average speed of train B

60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

2. Build a table

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

3. Write the equation

The time, when the two trains meet, is the same for both trains:

                  [tex]\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles[/tex]

4. Calculate the time:

x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

Answer:

1.7

Step-by-step explanation:

Jamal traveled 80 miles in 114 hours. Which expression gives Jamal's speed in miles per hour?
options:
1 1/4 x 80
1 1/4 divided by 80
80/1 1/4 (Fraction)
1 1/4/80 (Fraction)

Answers

Answer:

80/1 1/4 (Fraction)

Step-by-step explanation:

[tex]speed = \frac{distancs}{time} \\ \\ \hspace{29pt}= \frac{80}{1 \frac{1}{4} } mph[/tex]

what is the vaule of the expression x + y + - y
When x= -1 and y = 3

Answers

Answer:

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

Answer:

-1

Step-by-step explanation:

This is a substitution question

The given equation is x+y+(-y)

And x is said to be-1,y=3

So let's solve

x+y+(-y)

Open the bracket first

x+y-y

So let's substitute

-1+3-3

-1+0

=-1

Therefore the final answer is-1

What did the boy bumper car say to the girl bumper car

Answers

Answer:

may I have the next dents?

Step-by-step explanation:

Final answer:

The question refers to a potential joke or riddle involving boy and girl bumper cars. The precise answer isn't clear without additional context, but an example of a joke incorporating cars is provided.

Explanation:

The question asked, 'What did the boy bumper car say to the girl bumper car', appears to be a joke or riddle. It is ambiguous without a specific punchline directly related to educational material. However, if this is in reference to a literary work, there's a chance we could interpret the question more effectively. An example answer might be: 'Excuse me, are you a parking ticket? Because you've got FINE written all over you!'. That is an example of a typical joke that includes automobiles, although it's important to remember that humor can be subjective.

Learn more about Jokes here:

https://brainly.com/question/33509840

#SPJ3

A circle passes through point (−2, −1) and its center is at (2, −1). Which equation represents the circle?
A) (x − 2)2 + (y + 1)2 = 16
B) (x − 2)2 + (y − 1)2 = 16
C) (x + 2)2 − (y + 1)2 = 20
D) (x − 2)2 + (y + 1)2 = 20

Answers

Answer:

A) (x − 2)2 + (y + 1)2 = 16

please give me brainliest

Step-by-step explanation:

center: (2, −1)

(x − 2)2 + (y + 1)2

radius: 4

4^2 = 16

Look at the image to answer.​

Answers

The square root of 121 (√121) is 11. Then to write 11 as a square root would be square root of 121 (√121). The side length is a ration number even though it is written as √121 because it is a square root of a square number.

need help also.......

Answers

Answer:

Step-by-step explanation:

[tex]\frac{QT}{Q'T'}=\frac{1}{2}\\[/tex]

Scale factor:

1:2

los numeros primos menores que 15​

Answers

Answer:

2, 3, 5, 7, 11, 13,

Answer: 1, 3, 5, 11, 9, 7, 13

Step-by-step explanation:

Odd numbers can't be divided by two.

Even numbers can be.  

In a class of 18 children, 13 have pet dogs at home, 11 have pet cats, and 8 have both. How many kids do not have four-legged pets at home?

Answers

Answer:

2 people

Step-by-step explanation:

8 have both that means that of the 11 people that have cats 3 have only cats and of the 13 that have dogs 5 only have dogs therefore 2 people don't have four-legged animals at home

Answer:

2

Step-by-step explanation:

it starts out with 18 students, 24 pets in total. -16 for the dogs and cats, to lead up to 8, and 10 students left after subtracting 8 for how many students don't have a pet at home. So 2 students shouldn't have four legged pets left after subtracting the rest.  (this is my answer, it's probably wrong, i think you should wait for more,)

The table shows the side lengths and perimeters of four squares.


Side Length (x)
Perimeter (y)
4.5
18
8.5
34
10.25
41
13.75
55



Which equation represents the relationship between the side length, x, and the perimeter, y?

y = 4x
y = x + 13.5
y = x – 13.5

Answers

Answer: I believe that the answer is y=4x

Step-by-step explanation: y=4*4.5= 18

y=4*8.5= 34 I hope I explained it well.

Which expression is equivalent to 18c-6d? A: 2(9c-6d)
B: 3(6c+2d)
C: 2(9c-3d)
D: c(18-6d)

Answers

Answer: answer is C because if you do 2x9 abd 2x3 you 18c-6d and you cant subtract thise cause they have different variables

Step-by-step explanation:

Answer:

[tex]6(3c-d)[/tex] or [tex]3(6c - 2d)[/tex]

Step-by-step explanation:

Step 1:  Factor out the GCF

The GCF for 18c and 6d is just the number 6.

[tex]18c - 6d[/tex]

[tex]6(3c - d)[/tex]

Or... you can pull out a 3

[tex]18c-6d[/tex]

[tex]3(6c-2d)[/tex]

Answer:  [tex]6(3c-d)[/tex] or [tex]3(6c - 2d)[/tex]

3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall and 2ft wide, what is the volume of the toy? Round your answer to two decimal places.

Answers

Answer:

The volume of the toy is [tex]V=5.23\ ft^3[/tex]

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

[tex]V=\frac{2}{3}\pi r^{3}[/tex]

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

[tex]D=2\ ft[/tex]

[tex]r=2/2=1\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3[/tex]

step 2

Find the volume of the cone

The volume of the cone is given by

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we know that

The radius of the cone is the same that the radius of the hemisphere

so

[tex]r=1\ ft[/tex]

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

[tex]h=4-1=3\ ft[/tex]

substitute the given values

[tex]V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3[/tex]

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

[tex]V=(\frac{2}{3} \pi+\pi)\ ft^3[/tex]

[tex]V=(\frac{5}{3}\pi)\ ft^3[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]V=\frac{5}{3}(3.14)=5.23\ ft^3[/tex]

17. a) Ula jest dwa razy młodsza od Oli i o 4 lata starsza od Ali. Razem te trzy

dziewczynki mają 24 lata. Ile lat ma każda z nich?

b) Tata Zosi jest od niej 3 razy starszy, a Zosia jest od niego młodsza o 30 lat.

Ile lat ma Zosia?

c) Julek i Asia są w sumie o 6 lat starsi od Michała, ale każde z nich z osobna

jest od niego młodsze: Julek o 7 lat, Asia o 2 lata. Ile lat mają wszyscy razem?

Daje Naj za odpowiedź daną za godzinę maks

Answers

Answer:

Part 17)

Ula's age is 7 years

Ola's age is 14 years

Ali's age is 3 years

Part 18) Zosia's age is 15 years

Part 19) All together are 36 years old

Step-by-step explanation:

The question in English is

17. Ula is twice as young as Ola and four years older than Ali. Together these three girls are 24 years old. How old is each of them?

18. Zosia's father is 3 times older than her and Zosia is 30 years younger than him.

How old is Zosia?

19. Julek and Asia are 6 years older than Michael, but each of them separately is younger than him: Julek by 7 years, Asia by 2 years. How old are they all together?

Part 17)

Let

x ----> Ula's age

y ---> Ola's age

z ---> Ali's age

we know that

Ula is twice as young as Ola

[tex]y=2x[/tex] ----> equation A

Ula is four years older than Ali

[tex]x=z+4[/tex]

[tex]z=x-4[/tex]----> equation B

Together these three girls are 24 years old.

so

[tex]x+y+z=24[/tex] -----> equation C

substitute equation A and equation B in equation C

[tex]x+2x+(x-4)=24[/tex]

solve for x

[tex]4x=24+4\\4x=28\\x=7[/tex]

Find the value of y

[tex]y=2(7)=14[/tex]

Find the value of z

[tex]z=7-4=3[/tex]

therefore

Ula's age is 7 years

Ola's age is 14 years

Ali's age is 3 years

Part 18)

Let

x ----> Zosia's father's age

y ----> Zosia's age

we know that

Zosia's father is 3 times older than Zosia.

so

[tex]x=3y[/tex]  ----> equation A

Zosia is 30 years younger than him.

so

[tex]y=x-30[/tex] ----> equation B

substitute equation A in equation B

[tex]y=3y-30[/tex]

solve for y

[tex]3y-y=30\\2y=30\\y=15[/tex]

therefore

Zosia's age is 15 years

Part 19)

Let

x ----> Julek's age

y ----> Asia's age

z ----> Michael's age

we know that

Julek and Asia are 6 years older than Michael

so

[tex]x+y=z+6[/tex] ----> equation A

Julek is 7 years  younger than Michael

[tex]x=z-7[/tex] ----> equation B

Asia is 2 years  younger than Michael

so

[tex]y=z-2[/tex] -----> equation C

substitute equation B and equation C in equation A

[tex](z-7)+(z-2)=z+6[/tex]

solve for z

[tex]2z-z=6+9\\z=15[/tex]

Find the value of x

[tex]x=15-7=8[/tex]

Find the value of y

[tex]y=15-2=13[/tex]

Adds the ages

[tex]x+y+z=8+13+15=36\ years[/tex]

therefore

All together are 36 years old

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