solve each compound inequality and graph the solution!!! I need answers and step by step equations for 20,22, and 24 please!!!!!!

The number of arrangements of the word DARWIN beginning and ending with a vowel = 48 ways

The number of letters in DARWIN = 6

The vowels are "A" and "I"

Number of vowels = 2

Number of ways of arranging the two vowels that will be at the beginning and end = 2! = 2 x 1 = 2 ways

There are 4 remaining letters after excluding the vowels

Number of ways of arranging the 4 remaining letters = 4!

Number of ways of arranging the 4 remaining letters = 4 x 3 x 2 x 1

Number of ways of arranging the 4 remaining letters = 24 ways

Therefore, the number of arrangements of the word DARWIN beginning and ending with a vowel = 2 x 24

The number of arrangements of the word DARWIN beginning and ending with a vowel = 48 ways

Answer:

x=67

Step-by-step explanation:

you have to do 80+x=147 then you subtract 80 on both sides and get 67 as your answer

In the picture, there is graph with a line. The equation of the line is

2x+y-1=0.

Given that,

In the picture, there is graph with a line.

We have to find the equation of the line in the graph.

The equation of a line can be constructed using the slope of the line and a point on the line.

The equation for a line traveling through a point (x₁,y₁) and having a slope of m is given as follows: y-y₁=m(x-x₁)

Additionally, this equation can be resolved and condensed into the equation of a line in its usual form.

Here, we have points (0,1) and (1,-1).

Slope of the line m=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m=(-1-1)/(1-0)

m=-2/1

m=-2

We got Slope of the line m=-2

Take point (0,1)

y-1=-2(x-0)

y-1=-2x

2x+y-1=0

Therefore, the equation of the line from the given graph is 2x+y-1=0.

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Answer:

(-x, y) is the correct answer. Drawing a graph may help.

Answer:

8 Gallons

Step-by-step explanation:

The question is asking you how many gallons it takes to travel 184 miles given that 138 miles took 6 gallons

You first divide 138 by 6 to find the Miles Per Gallon

138 ÷ 6 = 23
This means that each gallon was 23 miles

Now you divide 184 by 23 to find how many gallons it took to drive 184 miles.

184 ÷ 23 = 8
This means that it took 8 Gallons for Josiah to travel 184 Miles

Given

Elena is planning to go camping for the weekend and has already spent $40 on supplies.

She goes to the store and buys more supplies.

To find which inequality represents d, the total amount in dollars that Elena spends on supplies.

Now,

Let d be the total amount in dollars that Elena spends on supplies.

Since Elena has already spent $40 on supplies and bought more supplies.

Then, the amount spent by Elena on supplies is,

Hence, the answer is a) d>40.

Answer:

3n/10

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Answer:

follow these steps to find your answer

The value of k after eliminating the fraction in 3/5k -5 = 7/10k is 7.

To get the answer follow the given steps below:

3 / 5 k - 5 = 7 / 10 k

Step 1 => 3 (10 k) = 7 (5 k - 5)               by cross multiplying the numerator                  and denominator of both the sides.

Step 2 => 30 k = 35 k - 35                    multiplying 5 inside the brackets with 5k - 5

Step 3 => 35 = 5 k

Step 4 => 5 k = 35

Step 5 => k = 35 / 5                               dividing

           => k = 7

Hence the value of k after eliminating the fraction is 7.

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Answer:

G(0) = 5

Step-by-step explanation:

substitute x = 0 into G(x) , then

G(0) = - 3(0) + 5 = 0 + 5 = 5

Answer:

ok ok ok ok ok ok

Answer:0

Step-by-step explanation: anything minus itself is zero (x-x=0)

Answer: That would be non-answerable

Step-by-step explanation:  infinity is a boundless and endless thing. It is not able to be added or subtracted to anything.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.

A line's slope often indicates the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.

where m is the slope and y=mx+b

You can also write y =-x+7 as y=-1x +7.

Therefore, the slope is determined by the number before x.

The slope is -1

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Sl, this is the solution:

Factors of 12x:

• 2x (Common)

• 3x (Common)

• 4x

• 6x (Common)

• 12x

Factors of 6x^3:

• 2x (Common)

• 3x (Common)

• 6x (Common)

• 2x²

• 3x²

• 6x²

• 2x^3

• 3x^3

• 6x^3

The GCF is 6x

A sample space is the set of all possible outcomes of a statistical experiment, and it is sometimes referred to as a probability space.

Outcomes are observations of the experiment, and they are sometimes referred to as sample points

Answer = Option D

ANSWER :

x = 8

EXPLANATION :

The first number is x

The second number is 9 more than x which is (x + 9)

The product of these numbers is 136

The equation will be :

The values of x are :

x + 17 = 0

x = -17

x - 8 = 0

x = 8

Since we are looking for the positive value of x, it will be x = 8

Answer: no clue sonny boi but good luck

The bridge is 895.79 feet above the river.

The length of the section of the bridge above the arch is 179.58 feet.

The underside of the bridge is in the shape of an arc.

The height of the bridge is represented by the function,

y = - 0.000475x² + 0.851x

Now, when the height will be maximum, dy/dx = 0

Therefore,

dy/dx = (d/dx)( - 0.000475x² + 0.851x )

dy/dx = - 0.00095x + 0.851 = 0

- 0.00095x + 0.851 = 0

Subtracting 0.851 from each side,

- 0.00095x = - 0.851

Dividing each side of the equation by 0.00095

x = 895.7895 feet ≈ 895.79 feet

Therefore, the maximum height of the bridge is h = 895.79 feet.

The length of the section is represented by x,

y = - 0.000475x² + 0.851x

To obtain the x-intercept, we put y = 0:

- 0.000475x² + 0.851x = 0

x ( - 0.000475x + 0.851) = 0

Therefore,

x = 0 and,

- 0.000475x + 0.851 = 0

- 0.000475x = - 0.851

x = 1791.58 feet

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The expression rewrites the total 32 + 80 using the largest common factor and the distributive property, and the expression can be expressed as 16(2 + 5).

Option (c) is correct.

The least common multiple of two integers is defined as the lowest number that is a multiple of two or more numbers. The abbreviation LCM stands for least common multiple.

It is assumed that:

The mathematical formula is:

= 32 + 80

To identify the most prevalent factor:

GCF( 32, 80) ( 32, 80) ( 32, 80)

We can use Euclid's division lemma to find the GCF:

GCF(32,80)= 16

The phrase 32 + 80 can be expressed as follows:

= 32 + 80\s= 16(2 + 5)

As a result, the equation rewrites the total 32 + 80 using the largest common component and the distributive condition, and the expression can be expressed as 16(2 + 5).

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We have that the angles that are congruent with m<3=20° are the ones that we can see in the image in red

m<3=m<1=m<5=m<7=m<9=m<11=m<14=m<16=20°

Answer: 4 2/5

Step-by-step explanation:

Answer:2 3/5

Step-by-step explanation:

Change to improper fraction

36/5-23/5

Subtract 36 and 23 since they have same denominator:

36-23=13

Put over 5

13/5

Change over mixed number

2 3/5

The table can be given as for 3 hours we have 18 km and for 4 hours we have 24km, founded by using average.

So, we are given that Callan hikes at a rate of 6 km an hour.

In this way, he will hike 18 km in 3 hours.

(Refer to the graph attached below)

Hence, using averages, we know that the table can be given as for 3 hours we have 18 km and for 4 hours we have 24km.

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Answer:

x = 10

Step-by-step explanation:

3(3x+10) = 120

Expand: 9x + 30 = 120

Cross sides: 9x = 120-30

Simplify: 9x = 90

Divide : x = 90\9

Answer:

40%

Step-by-step explanation:

the fraction is 20/50 which x2 is 40/100 and that times 10 (for percent) is 40, so 40%

Answer:

40% of the jerseys are medium-sized

Step-by-step explanation:

Total = 50 jerseys

20 medium-sized

50 x 2 = 100

20 x 2 = 40

40/100 = 40%

Therefore, 40% of the jerseys are medium-sized.

Hope this helps!

Answer:

Jos is 14 years

Step-by-step explanation:

Let Father's age be x

[tex]{ \tt{father = x}} \\ { \tt{jos = x - 33}}[/tex]

- The question says, product of their ages is 658

[tex]{ \tt{x(x - 33) = 658}}[/tex]

- Open the brackets following distributive property;

-

[tex]{ \tt{ {x}^{2} - 33x = 658 }} \\ { \tt{ {x}^{2} - 33x - 658 = 0 }}[/tex]

- Using bulldozer method;

[tex]{ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]

- A general quadratic equation has a format ax² + bx + c = 0

[tex]{ \tt{x = \frac{ - ( - 33) \pm \sqrt{ {( - 33)}^{2} - (4 \times 1 \times - 658)} }{2 \times 1} }} \\ \\ { \tt{x = \frac{33 \pm \sqrt{3721} }{2} }} \\ \\ { \tt{x = \frac{33 \pm61}{2} }} \\ \\ { \tt{x = \frac{33 + 61}{2} \: \: or \: \: \frac{33 - 61}{2} }} \\ \\ { \tt{x = 47 \: \: \: or \: \: \: - 14}}[/tex]

- Father's age = 47 years

- Jos's age = (47 - 33) = 14 years

Answer: Jos is 14 years old

Step-by-step explanation:

Let Jos is x years old

Hence, father is (x+33) years old

[tex]x(x+33)=658\\\\x^2+33x=658\\\\x^2+33x-658=658-658\\\\x^2+33x-658=0\\\\a=1 \ \ \ \ \ b=33\ \ \ \ \ c=-658[/tex]

[tex]\displaystyle\\x=\frac{-bб\sqrt{D^} }{2a} \\\\D=b^2-4ac\\\\D=33^2-4(1)(-658)\\\\D=1089+2632\\\\D=3721\\\\\sqrt{D}=\\\\ \sqrt{3721}=\\\\61\\\\ x=\frac{-33б61}{2(1)}\\\\ x=\frac{-33-61}{2}\\\\x=-47\notin\\\\x=\frac{-33+61}{2} \\x=\frac{28}{2} \\\\x=14[/tex]

Answer:

Yes! Water is moist.

Step-by-step explanation:

Water is moist because water is a liquid.

From the dictionary:

moisture:

"water or other liquid diffused in a small quantity as vapor, within a solid, or condensed on a surface."

moisture is a type of liquid, and water can be 'diffused in a small quantity as vapor'

So, logically, water is moist.

The most appropriate choice for set will be given by -

1) Number of students who went to Nashville but not Pittsburg = 5

2) Number of children who like to use markers but not colour pencils = 2

3) Number of students who have been on TV but not in a play =2

What is a set?

Set is a well defined collection of distinct objects. The objects are called elements of the set.

Set can be empty or non empty, finite or infinite.

The number of elements in a set is known as the cardinal number of the set

Here,

1) Number of students went to Nashville = 12

Number of students went to Pittsburg = 10

Number of students went to both cities = 7

Number of students who went to Nashville but not Pittsburg = 12 - 7

                                                                                                     = 5

2) Number of children who like to use markers = 5

Number of children who like to use coloured pencils  = 10

Number of children who like to use both coloured pencils and markers          

                                                                                                           = 3

Number of children who like to use markers but not colour pencils = 5 - 3

                                                                                                                = 2

3) Number of students who like to play = 9

Number of students who like to watch TV = 7

Number of students who both like to play and watch TV = 5

Number of students who have been on TV but not in a play = 7 - 5

                                                                                                    = 2

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