x + 4x + 4 - 8x


please help

Answer:

If this is the question about sample space, a possible answer is 24 and 64 ways in sample space.

Step-by-step explanation:

Hopefully, this is helpful :)

A recursive definition for the set S can be given as follows:

What is recursion?

Recursion is a programming technique where a function calls itself to solve a problem.

Base case: (1, n) is in S for all positive integers n, since 1 is a factor of all positive integers.

Recursive case: If (a, b) is in S, then (a', b) is in S for all positive integers a' that are factors of a, and (a, b') is in S for all positive integers b' that are multiples of b.

In other words, the set S contains all pairs (a,b) where a is a positive integer that divides b, and b can be obtained by multiplying any such a with another positive integer. The base case includes all pairs where a=1 and b is any positive integer.

The recursive case states that if (a,b) is in S, then all pairs where a' is a factor of a and b is a positive integer such that b=a'b are also in S, as well as all pairs where b' is a multiple of b and a is a positive integer that divides b'.

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The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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Answer:

1.35

Step-by-step explanation:

10.80 divided by 8

n = 1.35

Jamare has 23/5 pounds of gummy bears left after giving 1 2/5 pounds to his sister. This can also be written as a mixed number: 4 3/5 pounds of gummy bears.

What is the fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing a numerator(upper value) and denominator(lower value).

If Jamare gave 1 2/5 pounds of gummy bears to his sister, he now has 6 - 1 2/5 pounds of gummy bears left.

To subtract the mixed number 1 2/5 from 6, we first need to convert the mixed number to an improper fraction.

To do this, we multiply the whole number (1) by the denominator (5) and add the numerator (2) to get 7. Then we put this over the denominator to get 7/5.

So, 1 2/5 = 7/5.

Now we can subtract 7/5 from 6 as follows:

6 - 7/5 = 30/5 - 7/5 = 23/5

Therefore, Jamare has 23/5 pounds of gummy bears left after giving 1 2/5 pounds to his sister. This can also be written as a mixed number: 4 3/5 pounds of gummy bears.

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Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

Let's define:

C(x): cost of the trip

x: miles traveled

From the description:

If x is between 0 and 0.5 miles (0.5 included) the cost is $2.00

If x is between 0.5 and 0.75 miles (0.75 included) the cost is $2.40

If x is between 0.75 and 1 miles (1 included) the cost is $2.80

If x is between 1 and 1.25 miles (1.25 included) the cost is $3.20

And so on.

The step function that describes this behavior is:

Answer: 4 quarters and 1 Nickel not sure if thats the question :/

Step-by-step explanation:

One dollar and one nickel are equal to $1.05.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

1 dollar = 100 cents

one nickel = 5 cents

So,

1 nickel = $0.05

Thus,

One dollar and one nickel are equal to $1.05.

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Answer:

Step-by-step explanation:

If a apples sold then profit is:

If b bananas sold then profit is:

Total profit is the sum of the profits:

Correct options are D and E ( or 4 and 5)

0.9. < 2/25

because the alligator eats the bigger number.

The third term in the expansion of the expression (5x - 7y)³ is 735xy².

Given expression is,

(5x - 7y)³

We have to expand this.

We know that,

(a + b)³ = a³ - 3a²b + 3ab² - b³

Using this,

(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³

               = 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³

               = 125x³ - 525x²y + 735xy² - 343y³

Here the third term is 735xy².

Hence the third term is 735xy².

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Answer:

\(a = 0\)

Step-by-step explanation:

Given

\((\frac{1}{7})^{3a+3} = (343)^{a-1}\)

Required

Find a

We start by writing 343 as a factor of 7

\((\frac{1}{7})^{3a+3} = (343)^{a-1}\)

\((\frac{1}{7})^{3a+3} = (7^3)^{a-1}\)

From laws of indices;

\(\frac{1}{a} = a^{-1}\)

So;

\((\frac{1}{7})^{3a+3} = (7^3)^{a-1}\) becomes

\((7^{-1})^{3a+3} = (7^3)^{a-1}\)

\((7)^{(-1){(3a+3)}} = (7)^{3(a-1)}\)

Cancel 7 on both sides

\((-1){(3a+3) = {3(a-1)}\)

Open brackets

\(-3a - 3 = 3a - 3\)

Collect like terms

\(3 - 3 = 3a + 3a\)

\(0 = 6a\)

Divide both sides by 6

\(0 = a\)

\(a = 0\)

Answer:

a=0 is correct!!!!!

Step-by-step explanation:

jus got 100% on edge!!

8 halls would be required to accommodate 520 people in the hall.

As we know that a hall can accommodate 65 people.

To determine the number of hall required for 520 people,

first we need to find that how many halls would be required for one person,

So, we will divide the 1 by 6 to find :

The number of one person accommodate = 1/65 Hall

Then, 520 people required to accommodate = 1/65 × 520

                                                                      = 8 Halls.

[Accommodate: to have enough space for somebody/something, especially for a certain number of people]

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The council members' plan to spend on decorations is 145.

What is algebra?

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Here, we have

Given: The Deer Creek Middle School student council spent $125 decorating the gym for the fall dance. The council members planned to spend 16% more than that.

We have to find out how much the council members plan to spend on decorations.

Based on the given conditions, formulate:: 125×(16%+1)

Calculate the sum or difference: 125×1.16

Calculate the product or quotient: 145

Hence, the council members' plan to spend on decorations is 145.

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Answer:

Step-by-step explanation:

∠ EGF=180-∠FGH

          = 180-(180-112)

          = 112°

∠LKM= 90= 8X -6

           2(4X-3)=90

             4X-3=45°

3)

22=4X-10

 X=8

NR= 3(8) +6

     = 30

Answer:

\(x=10\)

Step-by-step explanation:

Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).

Thus, we can set up the following proportion:

\(\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}\)

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

Answer: B

Step-by-step explanation:

4x+3x+2x=180

9x = 180

x = 20

20x3 = 60

The table that shows two additional different amounts of powder and water that will make grape fizz that tastes the same as Mai's mixture is shown below,

Scoops of water = 4, 8, 12, 16, 20, 24

Cups of water = 1, 2, 3, 4, 5, 6.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Given:

Priya mixed 3 scoops lot grape-flavored powder with & cups of water, Mai mixed 4 Scoop of grape-flavored powder,

Calculate the ratio of the powder and water mixed by Priya as shown below,

The ratio of the powder and water = scoops of powder / cups of water

The ratio of the powder and water = 3 / 1

Calculate the ratio of the powder and water mixed by Mai as shown below,

The ratio of the powder and water = 4 / 1

The table shows different mixtures of powder and water that will make grape fizz that tastes the same as Priya's mixture is shown below,

Scoops of water = 3, 6, 9, 12, 15, 18

Cups of water = 1, 2, 3, 4, 5, 6.

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Answer:

B. showing that AD^2 + DC^2 = AC^2

Step-by-step explanation:

Pythagorean theorem formula: a^2 + b^2 = c^2

^^^^thats all i know, i got the answer from my teacher tho lol

Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Answer:

Step-by-step explanation:

You want the slope, y-intercept, and equation for a line that passes through the points (2, -2) and (8, 1).

The slope formula is used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-2))/(8 -2) = 3/6 = 1/2

The slope-intercept equation can be rearranged to give the y-intercept:

  b = y - mx

  b = 1 -(1/2)(8) = 1 -4 = -3 . . . . . . using (x, y) = (8, 1)

The slope-intercept form equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

Using the found values, the equation is ...

  y = 1/2x -3

An algebraic expression for the perimeter of the picture frame is P = 3L.

Translating the word problem into an algebraic equation, we have;

The width of a picture frame is half (\(\frac{1}{2}\)) the length:

\(W=\frac{L}{2}\)

Mathematically, the perimeter of a rectangle is given by the formula;

\(P=2(L+W)\)

Where:

Substituting the parameters into the formula, we have;

\(P=2(L+\frac{L}{2})\)

Simplifying further, we have:

\(P=2L+L\\\\\)

P = 3L

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From the cosine and the sine rule, the value of the angle M is 53 degrees.

The cosine rule allows us to calculate the length of one side of a triangle if we know the lengths of the other two sides and the measure of the included angle. It is particularly useful for solving triangles that are not right-angled.

\(l^2 = m^2 + n^2 - 2mnCos L\\l^2 = (82)^2 + (49)^2 - 2(82 * 49)Cos 99\\l^2 = 9125 + 1257\)

l = 102

Then we have that;

l/Sin L = m/Sin M

M =Sin-1( mSin L/l)

M = 53 degrees

We have that the value of the angle M is 53 degrees as seen above.

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The f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

A fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Total items in the list is x and Shelby found f(x) item.

Tom found 1/3 of the items, and

Lily found 4/9 of the items.

Then,

\(\rm f(x) = x - (\dfrac{1}{3}+ \dfrac{4}{9})\\\\\rm f(x) = x - (\dfrac{3+4}{9})\\\\\rm f(x) = x - \dfrac{7}{9}\\\\\\\rm f(x) = \dfrac{9x-7}{9}\\\\\)

Thus, the f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.

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The system of equations has an infinite number of solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

3x + 2y = 6 ____(1)

6x + 4y = 12 _____(2)

Applying the substitution method.

3x + 2y = 6

x = (6 - 2y)/3 in (2)

6 (6 - 2y)/3 + 4y = 12

2 (6 - 2y) + 4y = 12

12 - 4y + 4y = 12

12 = 12

This means,

It has an infinite number of solutions.

Thus,

An infinite number of solutions.

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The complete question is:

Graph the system of equations

3x + 2y = 6

6x + 4y = 12

and find the solution to the system.

Answer:The distances from D to the both sides(AB and AC) of the triangle are 4 ft.

explanation:

In the diagram below, ABC is a triangle in which ∠CAB = 60°

As,  AD is the angle bisector of ∠CAB, that means ∠CAD = ∠DAB = 30°

The distance from D to side AC is  DE and distance from D to side AB is  DF. That means both ∠AED and ∠AFD are right angle.

Given that, the length of AD = 8 ft.

So, in right angle triangle AED.....

Also, in right angle triangle AFD....

So, the distances from D to the both sides(AB and AC) of the triangle are 4 ft.

The distance from point D to the sides of the triangle is 4 feet.

An angle bisector is defined as a line that divides an angle into two equal angles.

Draw the given angle first, then cut it in half, and then draw the angle's bisector.

Given that

In △ABC, m∠CAB = 60°,

AD is the angle bisector of ∠BAC with D ∈ BC

and AD = 8ft.

Angle CAB is 60 degrees, and AD bisects it, so angles CAD and BAD are each 30 degrees.

Let E be the point on AB for which DE is perpendicular to AB.

Then triangle ADE is a 30-60-90 right triangle with hypotenuse 8;

⇒ sin30° = DE/AD

⇒ 1/2 = DE/8

⇒ DE = 4

So the short-leg DE has a length of 4.

But since DE is perpendicular to AB, that is the distance of D from side AB.

So the distance of point D from sides AB and AC is 4.

Thus, the distance from point D to the sides of the triangle is 4 feet.

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