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)

Answer:

4

Step-by-step explanation:

Substituting into the slope formula,

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

Answer:

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.

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 :)

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

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.

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Answer:

4oz = 1$

Explain your answer:

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.

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

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

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

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

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Answer:

The answer is 180,000

Answer: 180000

I really hope this helped you! good luck

Answer:

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

Answer:

52

Step-by-step explanation:

8 times 6.5= 52

Answer:

She has 52 pieces of string in all.

Step-by-step explanation:

The measure of <Y is 38.

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.

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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:

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

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:

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)

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

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.

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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

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

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.

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:

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.

Answer:

would be closest to D: 2

Step-by-step explanation:

Answer:

The answer is D.2

Answer: D

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

(I Think)