Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
x + y = 2
–5x - 5y = -10

Answers

Answer 1

Step-by-step explanation:

The usual thing to do is to try to get rid of one variable first. So to get rid of x, we multiply the first equation by 5.

5(x + y) = 2(5)

-5x - 5y = -10

---> 5x + 5y = 10

-5x - 5y = -10

---> 0 = 0

As you can see, everything cancels out. If the statement is true, then it is infinitely many solutions.


Related Questions

Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x + 2 >7
1- -2
2- 0
3- 3
4- 4
5- 6
6- 8

Answers

Answer:

-2. 0. 3. 4

Step-by-step explanation:

counterexample are the opposite so ur gonna chose the false ones the number has to be less than 7 so -2 0 3 4

Anna is solving this equation:
7- 3(2x - 5) = -(3x + 7)
Anna uses the distributive property for her first step.
Which equation shows the correct result of Anna using the distributive property?
A. 7- 6x – 5 = -3x +7
B. 7 - 6x + 5 = -3x - 7
C. 7-6x – 15 = -3x + 7
D. 7-6x + 15 = -3x - 7

Answers

Answer:

D

Step-by-step explanation:

if you distribute, you'll get D

Answer: D

Step-by-step explanation:

7-6x + 15 = -3x - 7


Look at the two quadrilaterals shown below.
Which one of the following statements about these quadrilaterals Is FALSE?
Both quadrilaterals have four equal angles.
Both quadrilaterals have four equal sides.
Both quadrilaterals have opposite parallel sides.
Both quadrilaterals have four right angles. The two shapes are a square and a rectangle

Answers

Answer:

"Both quadrilaterals have four equal sides."

Step-by-step explanation:

This statement is only true for a square since as we all know it has four equal sides, but a rectangle has two parallel sides that are equal to each other but on the other two parallel sides, they must differ in length.

Answer:

"Both quadrilaterals have four equal sides." is the false statement

Step-by-step explanation:

Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?

Answers

Answer:

$0.71

Step-by-step explanation:

9.99 + (3% of 9.99) = 10.2897

11 - 10.2897 = 0.7103, so $0.7103 is our answer. However, this isn't a real amount of money that can be handed from a clerk to a customer. So, we will round it to the nearest cent, bringing us to $0.71, our final answer.

For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. You spend $48.50 on 13.5 pounds of food. You buy twice as many carrots as potatoes.

Answers

Answer:

6lb meat2.5lb potatoes5Ib carrots

Step-by-step explanation:

M + P + C = 13.5

6M + 3P + C = 48.50

OM + 2P - C = O

2P = C

Therefore, there are 6 pounds of meat, 2.5 pounds of potatoes, and 5 pounds of carrots.

How do you write 5.09 104 in standard form?

Answers

509,000
Hope that helped :)

Area & Surface Area:Question 10

What is the area of the right triangle shown in the image?
7 4 Select one:

A. 22 units?
B. 11 units
C. 14 units
D. 28 units​

Answers

Answer:

D

Step-by-step explanation:

what is the sum of 23 * 3/4?​

Answers

Answer:

17 1/4

Step-by-step explanation:

69/4 = 17 1/4 or 17.25

Answer:

17 1/4

Step-by-step explanation:

23/1 *3/4

23*3 1*4 = 69/4 simplify 17 1/4

Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?​

Answers

Answer:

31

Step-by-step explanation:

2 out of 35 are chess club members.

The fraction of chess club members in the survey is 2/35.

Now we find 2/35 of 550.

2/35 * 550 = 1100/35 = 31.43

Answer: 31

If there are 550 students at her school, then there are 31 chess club members in the entire school.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

If Carmen surveyed a random sample of 35 students and found that 2 are chess club members.

We can set up a proportion to solve for this:

2/35 = x/550

where x is the number of chess club members in the entire school.

To solve for x, we can cross-multiply and simplify:

2 × 550 = 35 × x

1100 = 35x

Divide both sides by 35.

x = 1100/35

x ≈ 31.43

Therefore, we can estimate that there are approximately 31 chess club members in the entire school.

To learn more on probability click:

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8th Algebra

Which of the following correlations would be an example of causation?


Question 1 options:


A. a positive correlation between the number of prisons in an area and the number of hospitals in that area



B. a positive correlation between the number of hours spent studying and the grade earned on a test



C. a negative correlation between the number of cell phones sold per year and the number of people born per year



D. a negative correlation between the amount of ice cream sales and the number of crimes committed in a city

Answers

Pls just say this is helpful I need points for my homework ;(

HELP PLEASEEEEEEEEEE

Answers

Answer:

[tex]\frac{4}{9}[/tex] or 0.444.... repeating

Step-by-step explanation:

[tex]\frac{1}{3}[/tex]÷[tex]\frac{3}{4\\}[/tex] = [tex]\frac{1}{3}[/tex]×[tex]\frac{4}{3}[/tex] = [tex]\frac{4}{9\\}[/tex]

7. You roll a standard dice twice and flip a coin. What is the probability you 5 points
roll a 5, roll a 3 and then flip heads? *

Answers

Answer:

can you just mark me brainlest

Step-by-step explanation:

Answer:

the answer would probably

Step-by-step explanation:

PAY ATTENTION IN CLASS AND YOU WOULD KNOWWW

Solve the following inequality.
5 + m > -2 OR 2m < -20
m >
[?] OR m <[ ]

Answers

Answer:

m >-7 or m < -10

Step-by-step explanation:

5+m >-2

subtract 5 from both sides

⇒5-5+m > -2-5

m > -7

or..

2m <-20

divide both sides by 2

2m÷2 < -2÷2

m= < -10

hope it helps

have a great day!! ^_^

Which angle is supplementary to 15?

Answers

9514 1404 393

Answer:

  ∠14

Step-by-step explanation:

Angle 15 forms a linear pair with angles 14 and 16. Each of those is supplementary to angle 15. Only angle 14 is listed as a choice.

Please help me answer this

Answers

The answer is B: 144 cm^2

Need answer quick with full work

Answers

Answer:

Apply the distributive property.

2x3+4−−x2−(3x)2x3+4--x2-(3x)

Multiply −−x2--x2.

Tap for fewer steps...

Multiply −1-1 by −1-1.

2x3+4+1x2−(3x)2x3+4+1x2-(3x)

Multiply x2x2 by 11.

2x3+4+x2−(3x)2x3+4+x2-(3x)

Multiply 33 by −1-1.

2x3+4+x2−3x2x3+4+x2-3x

Move 44.

2x3+x2−3x+4

I need help with this I will mark you if you get it right

Answers

Answer:

I thinks its D have a nice day

Step-by-step explanation:

I pretty sure it’s D :)

The number of pets owned by eight classmates is shown below:

1, 3, 2, 2, 1, 3, 3, 1

Part A: What is the mean of the data? Show your work. (4 points)

Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

Answers

Answer:

Part A: Mean = 2

Part B: 6

Step-by-step explanation:

Part A: Add all the data piece's and divide by total value

Part B: Subtract the mean from each piece of data in the dat set and find the absolute value of each answer. 1+1+0+0+1+1+1+1 = 6

The mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

What is mean of data set?

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The number of pets owned by eight classmates is shown below:

[tex]1, 3, 2, 2, 1, 3, 3, 1[/tex]

The total number of pets are 8. The mean is the ratio of sum of all the values to the total values. Thus,

[tex]m=\dfrac{1+ 3+ 2+ 2+1+3+3+1}{8}\\m=\dfrac{16}{8}\\m=2[/tex]

The mean absolute deviation (MAD), can be calculate by adding difference of each data from mean and then divided by number of terms.

[tex]\text{MAD}=\dfrac{(1-2)+ (3-2)+ (2-2)+ (2-2)+(1-2)+(3-2)+(3-2)+(1-2)}{8}\\\text{MAD}=\dfrac{6}{8}\\\text{MAD}=0.75[/tex]

Thus, the mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

Learn more about the mean here;

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Rewrite each fraction with a denominator of 10 7/2= 3/5=​

Answers

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

[tex]\frac{7}{2}\cdot \frac{5}{5}=\frac{35}{10}[/tex]

[tex]\frac{3}{5}\cdot \frac{2}{2}=\frac{6}{10}[/tex]

Find the range of the data

97,106,99,97,115,95,108,100

Answers

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 115-95=20

Imagine you are the teacher. Explain how you would walk your student through this problem to answer this problem step by step.

Two hikers leave a cabin at the same time, one heading due south and the other headed due west. After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles. At that moment, what is the shortest distance between the two hikers?

Answers

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation

HELP WILL GIVE BRAINLEIST AND LOVE YOU FOREVER

Answers

i think #3 is 20 and #4 is a trapezoid. im so sorry if that’s wrong. if it is lmk and ill try again.

hey can I get the answer key for this I don't understand​

Answers

Answer: i dont have the answer key but i did answer them for you

Step-by-step explanation:

Answer:

....

Step-by-step explanation:

1.weights

2.coach

3.Olympics

4.stadium

5.finish line

6.gold medal

7.swimming pool

8.team

9.first place

21.starting line

11.score

12.medal

13.athlete

14.trophies

Tiffany works in a phone store and earns a commission of 21% on all her sales. If she sells $27,000 worth of cell phones this month, how much will her commission be?

Answers

Answer:

5670 usd

Step-by-step explanation:

27000×0.21=5670

Let f(x)=4(1/3)^2x. Which is equal to f(1)?

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

[tex]f(1) = 4(\frac{1}{3})^{2*1} = 4(\frac{1}{9}) = \frac{4}{9}[/tex]

What is probability that matt will select one of the letters in the word jump

Answers

Answer:

1 outta of 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 out of 4

there are four letters and the probability he will chose one is one out of the four letters.

15 points
Triangle ABC has side lengths of 19 in, 12 in, and 25 in. Match each side
with its correct length. *


I will give brainliest ]. 28 POINTS !

Answers

Answer:aa

Q

Q

A

W

W

Q

Q

S

S

W

Q

W

W

W

W

Step-by-step explanation:

A

Dsjsjshshsjwbwsjwbwhsjwnwhwjwjwjwb

Write an equivalent expression for k + k + z + z + z

Answers

Answer:

2k + 3z

Step-by-step explanation:

k + k + z + z + z

2k + 3z

HELP
What is the correct rule for y, in terms of x?

Answers

Answer:

please the question is not complete

The phrase "y is a function of x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ). If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .

Your friend Shawn tells you that he had been practicing flipping coins so that they will land on heads more frequently than tails. He claims that he can now flip a coin and the probability it will land on heads is 9/10.

PART A
Do you believe him?


A
yes
B
no

Answers

Answer:

Yes because I believe my friend

Step-by-step explanation:

B no because there will always be a 50/50 or 1/2 chance of the coin landing on heads. This will only be the probability if he flips the coin correctly
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