Determine whether each equation has one​ solution, no​ solution, or infinitely many solutions

3/2(2x+6)=3x+9

3x+5=3(x+5)

x+4x+4=3(2x-1)

6x+4x+1=2(5x+1)

Answers

Answer 1

Answer: Let's solve each equation step by step to determine the number of solutions:

3/2(2x+6)=3x+9

First, we distribute the 3/2 on the left side:

3x + 9 = 3x + 9

Subtracting 3x from both sides, we get:

9 = 9

This means that the equation is an identity and is true for all values of x. Therefore, it has infinitely many solutions.

3x+5=3(x+5)

Expanding the right side:

3x + 5 = 3x + 15

Subtracting 3x from both sides, we get:

5 = 15

This is a contradiction, so the equation has no solution.

x+4x+4=3(2x-1)

Simplifying the left side:

5x + 4 = 6x - 3

Adding 3 to both sides and subtracting 5x from both sides, we get:

7 = x

Therefore, the equation has one solution, x = 7.

6x+4x+1=2(5x+1)

Simplifying both sides:

10x + 1 = 10x + 2

Subtracting 10x from both sides, we get:

1 = 2

This is a contradiction, so the equation has no solution.

Step-by-step explanation:


Related Questions

help :))) ill give brainliest

Answers

Answer:

A rectangle is formed

Step-by-step explanation:

sqaure im not sure it just makes sense for example point 1 goes to 2 which goes to 3 and goes to 4 and 4 goes back to 1 thanks for your time

Determine which integer will make the inequality 4x + 6 < 2x + 12 false.

S:{1}
S:{−1}
S:{4}
S:{−4}

Answers

Out of the given integer(s), {4} is the integer which will make the inequality 4x + 6 < 2x + 12 false.

What is Inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions unequally.

Based on the question, we are supposed to determine which integer will make the inequality  4x + 6 < 2x + 12 false

Let's solve the inequality for the range of x first;

4x + 6 < 2x + 12

4x - 2x <  + 12 - 6

2x < 6

x < 3

So for all values of x < 3, the inequality  4x + 6 < 2x + 12 is true and for all values of x > 3, the inequality 4x + 6 < 2x + 12 false.

Hence, we accept {4} as our required integer.

To learn more about inequality and its properties, click on the link given below:

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Help!!!!!!!!!!!!!!!!!!!!

Answers

your on the right answer i believe
Your answer is correct I think

20 girls and 28 boys volunteer to plants trees at a school. The principal divides the girls and boys into identical groups that have girls and boys in each group. What is the greatest number of groups the principal can make?

Answers

Answer:

I think it's 4 groups because I think it's asking to find the gcf

4 groups because you find the greatest common factor for both of them

Miranda has a kitten and a puppy. The kitten weighs 1.2 pounds. The puppy weighs 9.5 times as much as the kitten. What is the weight, in pounds, of the puppy?

Answers

11.4 pounds bc 1.2 times 9.5 is 11.4

The graph below shows the amount of sugar required to make different sized batches of cookies.(Options below)
Which statement is true about the graph of the line?

The point (3, 2) lies on the graph and indicates that 2 dozen cookies can be made from 3 cups of sugar.

The point (4, 6) lies on the graph and indicates that 4 dozen cookies can be made from 6 cups of sugar.

The point (2, 3) lies on the graph and indicates that 3 dozen cookies can be made from 2 cups of sugar.

The point (6, 4) lies on the graph and indicates that 6 dozen cookies can be made from 6 cups of sugar.

Answers

Answer:the answer would have to be 2,3

Step-by-step explanation: the line intercepts at 2,3, if you were to check the following answers such as 6,4 and 4,6 the line does not intercept with the corresponding line.

Answer:

Step-by-step explanation:

CORRECT OPTION IS :

The point (6,4) lies on the graph and indicates that 6 dozen of cookis can be made from 6 cups of sugar

(50 POINTS GIVING BRAINLIEST ANSWER NOW PLEASE ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!)
Determine which integers in the set S:{−32, −8, 16, 32} will make the inequality one fourth times the difference of m and four is less than or equal to one eighth times the difference of m and sixteen false.

S:{16, 32}
S:{−8, 16}
S:{−32, −8}
S:{−32, 32}

Answers

Answer: the answer is answer 2

Step-by-step explanation: I think It is im like 75% sure that is what it is

Inequality shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The integer that can make the inequality true is m = -8

(1/4)(m - 4) ≤ (1/8)(m - 16)

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

One-fourth times the difference between m and four is less than or equal to one-eighth times the difference between m and sixteen

This can be written as,

(1/4)(m - 4) ≤ (1/8)(m - 16)

The number that will make the inequality true.

S = {−32, −8, 16, 32}

We will check each value.

m = -32

1/4 x -36 ≤ 1/8 x -48

-9 ≤ -4

Not true

m= -8

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

True

m = 16

1/4 x 12 ≤ 1/8 x 0

3 ≤ 0

Not true

m = 32

1/4 x 28 ≤ 1/8 x 16

7 ≤ 2

Not true

Thus,

The integer that can make the inequality true is m = -8

(1/4)(m - 4) ≤ (1/8)(m - 16)

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

Learn more about inequalities here:

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5 2/11 - 3 2/18
A. 3
B. 1
C. 4
D. 2

Answers

Answer:

would be closest to D: 2

Step-by-step explanation:

Answer:

The answer is D.2

For triangle XYZ, m∠X = 47°, m∠Y = (2x − 18)°, and m∠Z = (5x − 45)°. Find m∠Y.

m∠Y = 28°
m∠Y = 38°
m∠Y = 95°
m∠Y = 142°

Answers

i think the answer is c ( m

The measure of <Y is 38.

What is Angle Sum Property?

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.

One of the most commonly applied properties in geometry is the triangle's angle sum property.

Given:

m∠X = 47°, m∠Y = (2x − 18)°, and m∠Z = (5x − 45)°.

Using angle sum property

m<X + m<Y + m<Z = 180

47 + 2x- 18 + 5x - 45= 180

7x -16=180

7x= 180+16

7x= 196

x= 196/7

x= 28

So, the measure of <Y = 2x- 18 = 2(28) - 18 = 56-18 = 38

Hence, the measure of <Y is 38.

Learn more about Angle Sum Property here:

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An empty swimming pool is to be filled to the top. The pool is shaped like a rectangular prism with a length 12m, width 10m, and depth 2m. Suppose water is pumped into the pool at a rate of 24m^3 per hour. How many hours does it take to fill the empty pool?
ANSWER QUICKLY PLS

Answers

10 hours, find volume LxWxH and divide by the rate
Should take 10 hours because after doing l•w•h you get a volume of 240m^3 of you divide that by 24 it’s 10

Need answer as soon as possible, emergency, please be 100% sure, thank you

Answers

Answer:

y= (-2/3)x+5

Step-by-step explanation:

We can use slope-intercept form to figure this out. y=mx+b

First, the y-intercept is given (0,5). y-int=5

To find the slope, we need any 2 points.

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

If we use (0,5) and (3,3)

[tex]\frac{3-5}{3-0} =\frac{-2}{3}[/tex]

Put into slope-intercept form y=mx+b

[tex]y=\frac{-2}{3}x+5[/tex]

Answer:

y = -⅔x +5

Step-by-step explanation:

y = -0.666666667x+5

or

y = -⅔x +5

how?

well as you can see on the first box (0,5)

we can already know by this the equation will look like

y = _x +5

since if x is 0, we will already have +5

now onto the next box to help us

(1.5,4)

lets subtract 5 from 4 to find out what the slope will be

4-5=-1 and then divide that by our x

1 / 1.5 = -0.666666667

so our equation is

y = -0.666666667x+5

or

y = -⅔x +5

(not sure if you can understand from my explanation but please trust, this is right)

help me please ill give the crown

Answers

Answer: D

Step-by-step explanation: i think this because,well I'm smart    

(I Think)

D
because if she walked back 48 feet and then she seeing from 5 feet and at 12 then that would 25

Help asap!

There are at least 360 different breeds of dogs recognized worldwide.

Which inequality represents this statement?

x > 360
x < 360
x ≤ 360
x ≥ 360

Answers

C
It can be greater than 360 or more than 360 since they said at least

The equation y = 360(1.03)^x represents the amount of money in Josiah’s account after x years.

What is compound interest?

Compound interest is the type of interest in which the interest is taken from the principal amount as well as the accumulated interest from the previous years.

Here, we have,

we know that,

The formula for finding the total amount using compound interest is shown below :

A = P(1 + r)^t

Where A is the total amount,

P is the principal amount,

r is i/100 and,

t is the number of years.

Now we can make a formula from the given information. Substitute the values of all the variables:

y = 360(1 + 3/100)^x

⇒ y = 360(1.03)^x

Compare this to the given equations. We can clearly see that equations A, B, and C are wrong. But we can see that option D is correct.

Therefore, we can say that the equation y = 360(1.03)^x represents the amount of money in Josiah’s account after x years. The correct answer is option D.

Learn more about compound interest here: brainly.com/question/24924853

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complete question:

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years? y = 360(1.3)x y = 360(0.3)x y = 360(0.03)x y = 360(1.03)x

mr.wong wants to make travel bags for groups of students to take on a field trip. he will put 24 note pads,34 water bottles,and 48 granola brads into the bags. he wants to put the same number of each type of item into each travel bag. What is the greatest number of total bags mr Wong can make

Answers

Mr. Wong can make 24 bags because there are only 24 notepads and there has to be a notepad in each bag.
Mr.Wong can make 24 bags because there are only 24 notepads

Rosie buys her favorite hot chocolate from a hot chocolate shop. She pays $5.00 and gets a 20 oz. cup. What is the unit rate price per ounce for her hot chocolate?(1 point)

Answers

Answer:

4oz = 1$

Explain your answer:

4oz equals to one dollar so that means if you do 4oz times 1$ is 20oz

What is 10x10x20x90?

Pls help!

Answers

Answer:

The answer is 180,000

Answer: 180000

I really hope this helped you! good luck

List 20 multiples of 9. Use the multiples to justify the divisibility rule 9.

Answers

20 multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180.

if the sum of its digits is divisible by 9 or if tje sum is a mutiple of 9, then the number is divible by 9.

add up the digits and figure out if the sum if the digits is a multiple of nine or weather its divisble by 9

Answer:

9 x 1         9

9 x 2 18

9 x 3 27

9 x 4 36

9 x 5 45

9 x 6 54

9 x 7 63

9 x 8 72

9 x 9 81

9 x 10 90

9 x 11 99

9 x 12 108

9 x 13 117

9 x 14 126

9 x 15 135

9 x 16 144

9 x 17 153

9 x 18 162

9 x 19 171

9 x 20     180

Step-by-step explanation: Divisibility Rule of 9

That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. Example: Consider 78532, as the sum of its digits (7+8+5+3+2) is 25, which is not divisible by 9, hence 78532 is not divisible by 9.

Two angles are complementary to each other. One angle measures 26°, and the other angle measures (10x − 11)°. Determine the value of x.

2.6
5.6
7.5
24.5

Answers

I think the answer to this is 7.5

Help me solve it with explanation.

Answers

Answer:

I will guess 16

Step-by-step explanation:

Answer:

A 22

Step-by-step explanation:

n is any number in a sequence. It can be replaced by any number in any order, hence 8. "8th term in this sequence".

You plug 8 in accordance to the question in the following equation:

2n+6

2(8)+6

Then, solve it using order of operations:

16+6

=22

Can someone help me asap I go to this class soon

Answers

80 is the awnser
pls chose as brainlyist

Susie has 8 pieces of string. Each string measure 6.5 inches long, how many inches of string does she have in all?

Answers

Answer:

52

Step-by-step explanation:

8 times 6.5= 52

Answer:

She has 52 pieces of string in all.

Step-by-step explanation:

Need some help with steps please. Its Systems of equations and inequality's Linear Inequality's

Answers

Answer:

[tex]y\leq \frac{4}{5} x-1[/tex]

Step-by-step explanation:

−4x+5y≤−5

−4x+5y+4x≤−5+4x

5y≤4x−5

[tex]\frac{5y}{5}[/tex]≤[tex]\frac{4x-5}{5}[/tex]

y≤[tex]\frac{4}{5}[/tex]x-1

Answer:

y<=4/5x-1

Step-by-step explanation:

Help me please whoever's right will get brainiest :")

Answers

D) 10in by 7in . the answer is d
The answer is D since it’s 10(x2) and 7(x2)

What does the point (2,8) mean?

Answers

Answer:

One cup of flour makes four muffins

Step-by-step explanation:

In (2, 8), two is the number of cups used and eight is the number of muffins made.

(2, 8) tells you that, for every two cups of flour used, Richard makes eight muffins.

This means that one cup of flour makes four muffins.

Answer:

2 cups, 8 muffins

Step-by-step explanation:

(x, y)

On the x axis its labeled Cups and on the y axis its labeled muffins

Hope this helps :)

what is the answer to the problem?

Answers

I can’t read it 10/4

help helpe help help help help me

Answers

Similar
The second quadrilateral is just a bigger version of the first.

Answer: not similar

Step-by-step explanation:

they are reduced by different scales while one is is dilated by 5.7 the other one only by 4.

I need help, please!!

Answers

Answer:

4

Step-by-step explanation:

Substituting into the slope formula,

[tex]\frac{-3-1}{2-3}=4[/tex]

Answer:

C. 4

Step-by-step explanation:

(3,1) and (2,-3)

Use the slope formula.

Slope:

[tex]\longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\sf{y_2=(-3)}\\\\\sf{y_1=1}\\\\\sf{x_2=2}\\\\\sf{x_1=3}[/tex]

[tex]\sf{\dfrac{(-3)-1}{2-3}}=\sf{\dfrac{-4}{-1} }=\boxed{\sf{4}}[/tex]

Therefore, the slope is 4, which is the correct answer.

I hope this helps, let me know if you have any questions.

HELP!! PLEASE!! 25P POINTS!!
Determine which integer(s) from the set S:{−24, 2, 20, 35} will make the inequality five sixths m minus five is less than one half m plus 3 false.

S:{−24, 2}
S:{35}
S:{−24, 2, 20}
S:{20}

Answers

Answer:35

Step-by-step explanation:

The integer in the set S:{−24, 2, 20, 35} that will make the inequality five-sixths m minus five is less than one-half m plus 3 false is 35What is inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in inequality aren't always equal. Inequalities imply that the expressions are not equal. They are denoted by the symbols ≥  <  >   ≤.In this case, based on the information we will replace m with 35. This will be illustrated thus:= 5/6(35 - 5) < 1/2(35 + 3)= 5/6(30) < 1/2(38)= 25 < 19In this case, 25 isn't less than 19. Therefore, 35 is the correct integer.

Answer: 35

Step-by-step explanation:

Mrs. Cain's Fitbit said that her 1,287 steps equaled 0.55 mile. If she makes her goal of 8,500 steps, how many miles will she walk? (Round to the nearest hundredth.)

Answers

Answer:6.60 miles

Step-by-step explanation:1287=0.55 of a mile. This means 8,500 must be divided by 1,287 to find the total miles that she can walk.

6.60 miles. fjfufufhchchdbdbch

What is the slope of this line?

Answers

Answer:

-3/4

Step-by-step explanation:

The "rise" is -3 and the "run" is 4

Answer:

-3/4

Step-by-step explanationn:

"run" is 4

"rise" is -3

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