express the fact that x differs from 5 by less than 1/4 as an inequality involving absolute value

Step-by-step explanation:

(20-[6×3])×7

(20-18)×7

2×7=14

The total cost to the company will be $ 6770.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

rental fee = $200

purchase the insurance= $18 per day

According to given question we have

We know that  to purchase the insurance for 1 year.

1 day=  $18

365 days= $18 *365=$ 6570

The total cost to the company will be

=$200+$ 6570

=$ 6770

Therefore, the total cost to the company will be $ 6770.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ1

Answer:

Step-by-step explanation:

The scientific notation and standard form values of A-B-C are as follows:

A) 7.4 is 100 million times larger than 7.4 x 10⁻⁸

B) 10⁻⁸ is 100 million times smaller than 10.

C) The value 7.4 x 10⁻⁸ is 527 times smaller than 0.000039.

We use scientific notation in writing large or small numbers by multiplying a number between 1 and 10 by a power of 10.

Scientific           Standard

Notation              Form

3.9 x 10⁻⁵         0.000039

7.4 x 10⁻⁸          0.000000074

7.4 is 100 million times larger than 7.4 x 10⁻⁸ because 7.4 x 10⁻⁸ = 0.000000074, showing that the decimal point is moved 8 places to the right to get 7.4.  8 zeros are 100 million.

Thus, scientific notations reduce the large numbers so that they are multiplied by the power 10, which may be positive or negative.

Learn more about scientific notations at https://brainly.com/question/5756316 and https://brainly.com/question/1767229

#SPJ1

Scientific     Standard

Notation         Form

                     0.000039

7.4 x 10⁻⁸

Answer: -1

Step-by-step explanation:

    We will find the answer to this question by isolating the x variable.

    Given:

2(3x – 1) ≥ 4x – 6

    Distribute the 2 with multiplication:

6x – 2 ≥ 4x – 6

    Add 2 to both sides of the equation, and subtract 4x from both sides of the equation:

2x ≥ – 4

    Divide both sides of the equation by 2:

x ≥ -2

    The only value given that is greater than or equal to -2 is -1, leaving us with an answer of;

                 -1

Read more about solving inequalities here: https://brainly.com/question/1286826

The solution set of the inequality  2(3x - 1) ≥ 4x - 6 is [-2, ∞). So, -1 belongs to the solution set, i.e., -1 ∈ [-2, ∞).

Mathematically, an inequality is a mathematical assertion that compares the comparative size or order of two quantities. It shows that one quantity is greater than, less than, or not equal to another. The symbols often used to show inequalities are (≥), (≤), or (≠).

The given inequality is

2(3x - 1) ≥ 4x - 6

6x - 2  ≥ 4x -6

6x - 4x ≥ -6 + 2

2x ≥ -4

[tex]x \geq -\frac{4}{2}[/tex]

x ≥ -2

x ∈ (-2, ∞).

The correct answer is -1, as -1 belongs to the solution set of the given inequality.

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ7

The expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.

It should be noted that an expression is used to show the relationship that exists between the variables that are illustrated.

In this case, it should be noted that we wat to know the expression that represents “5 more than the difference of 15 and 7.

This will be:

= (15 - 7) + 5

= 13.

Therefore, the expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Ans : x = 11

X = - 50 1/2 + 12. 3

X= -50 * .5 + 36

X = - 25 +36

X = 11

More details : brainly.com/question/26281929

# SPJ9

Use Fleury's Algorithm to find an Euler path through the graph using this new edge by listing the vertices in the order visited is;  G-H-L-K-G-J-I-G

A quick examination of the given graph tells us that two of the seven vertices (G, I) have an odd number of edges while the other five (F, H, J, K, L) have an even number. Since every vertex must have an even number of attached edges for us to possibly construct an Eulerian circuit, our first step is necessary to add an edge connecting G to I.

A somewhat easy way to now construct an Eulerian circuit would be to take our original graph (i.e. without the G-I edge) and find an Eulerian path from D to H, then end by taking our added D-H edge back to D.

The way to find Fleury's Algorithm, is that;

1) Start with classifying the vertices of the given graph as odd and even. If there are 0 or 2 odd vertices, then continue with the algorithm.

2) Begin with any one of the odd vertices, if they exist, otherwise arbitrarily choose a vertex as the starting point.

3) Travel every edge exactly once such that the bridges in the graph are travelled at the end.

4) Stop when all the edges are travelled.

Read more about Euler's Path at; brainly.com/question/11598226

#SPJ1

The  unit rate for miles per gallon for each car  is 32.4 miles per gallon and 29 miles per gallon which. The car that could travel the greater distance on 1 gallon of gasoline is red car.

Unit rate for blue car:

40 1/2 miles=40.5

1 1/4=1.25

Hence,

Unit rate=40.5 / 1.25

Unit rate=32.4 miles per gallon

Unit rate for red car:

23 1/5=23.2

4/5=0.80

Hence,

Unit rate= 23.2/0.80

Unit rate  =29 miles per gallon

The car that could  travel the greater distance on 1 gallon of gasoline is red car.

Therefore unit rate for miles per gallon for each car  is 32.4 miles per gallon and 29 miles per gallon which. The car that could travel the greater distance on 1 gallon of gasoline is red car.

Learn more about unit rate here: https://brainly.com/question/10958128

#SPJ1

Answer:

63

Step-by-step explanation:

180 -  143 = 37

80 + 37 + x = 180

117 + x = 180

x = 63

You should take this down. Or redo your user name.

Answer:

n=4

Step-by-step explanation:

get rid of the -8 by dividing 0 by it

then get rid of the abs sign by plus minus 0 which is still 0. then its n-4=0

n=4

Given that the sum of the interior angle of a triangle is 180 degrees, the numerical value of x is 4.

In a polygon, an interior angle is one formed by two consecutive sides: that is, the vertex of an interior angle coincides with the vertex of the polygon.

A triangle is a polygon with three edges and three vertices.The sum of interior angle of a polygon is expressed as;

S = ( n - 2) × 180°

Where n is number of side.

Since a triangle has 3 sides, the sum of interior angle of a triangle will be;

( 3 - 2) × 180° = 1 × 180° = 180°

From the diagram;

Since the sum of interior angle of a triangle is:

180° .35° + 60° + ( 22x - 3 )° = 180°

Solve for x

35 + 60 + 22x - 3 = 180

95 + 22x - 3 = 180

92 + 22x = 180

22x = 180 - 92

22x = 88x = 88/22x = 4

The numerical value of x is 4.

Learn more about interior angle of polygons here: brainly.com/question/28642965

#SPJ1

Answer:

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers.

Step-by-step explanation:

Answer:

If there is an outlier you should report the median. This is because the value of a mean can be distorted by the outliers. So, you can use the median when the distribution is not symmetrical.  

Step-by-step explanation:

The area of the cross-section formed by the intersection of the plane and the cone is 7.067 inch square .

A cone is a three-dimensional shape that has a circular base and it narrows down to a sharp point called a vertex.

Given:

The radius of the base= 3 inches.

height  =20 inches

According to given question we have

Since the plane intersects the cone at the midpoint between the vertex A and point B,

The radius of that circle formed from the intersection=1.5 inches.

The area is

A=π[tex]r^{2}[/tex]

A=π[tex](1.5)^{2}[/tex]

A=7.067 inch square

Therefore, the area of the cross-section formed by the intersection of the plane and the cone is 7.067 inch square .

Learn more details about cone here:

https://brainly.com/question/16394302

#SPJ1

The option is missing

a) 4.71 inch square

b) 7.07 inch square

c)9.42 inch square

d) 13.24 inch square

Answer:k

Step-by-step explanation:

h

Answer:

3rd choice

Step-by-step explanation:

f(x) = x^2 + 1

g(x) = 5 – x

(f + g)(x) = (x^2 + 1 ) + (5 – x)

x^2 + 1  + 5 x^2

x^2 - x + 6

If antique has a price tag of $467 and sales tax rate be 9% then the sales tax due will be $42.03.

Given that antique has a price tag of $467 and sales tax rate be 9%.

We are required to find the amount of sales that will be due.

A sales tax is basically a tax paid to a governing body for the sales of certain goods and services.

Sales=$467

Sales tax rate=9%

Sales tax=467*9/100

=4203/100

=$42.03

Hence if antique has a price tag of $467 and sales tax rate be 9% then the sales tax due will be $42.03.

Learn more about sales tax at https://brainly.com/question/9437038

#SPJ1

Answer:

she bought 3 chicken wings

Step-by-step explanation:

8c = 10.4 --> where c is the cost of a chicken wing

c = 10.4 divided by 8

= 1.3

xc = 3.9 (x = number of chicken wings)

1.3x = 3.9

x = 3.9 divided by 1.3

which is 3

The number of particles in 12 of a mole is 7.22 × 10^24 particles

Expressions are mathematical statements that are represented by variables, coefficients and operators

The given parameter is

1 mole contains 6.02 × 10^23 particles

Rewrite the above equation properly

So, we have

1 mole = 6.02 × 10^23 particles

Multiply both sides by 12

So, we have

12 x 1 mole = 12 x 6.02 × 10^23 particles

Evaluate the product

So, we have

12 moles = 7.22 × 10^24 particles

Hence, the number of particles in 12 of a mole is 7.22 × 10^24 particles

Read more about moles at

https://brainly.com/question/16806688

#SPJ1

Answer:

The unit rate for miles per gallons is 35.6 miles per gallon used by him.  

Step-by-step explanation:

In the given condition he drove 44 and 1/2 miles and used a total of 1 and 1/4 gallons of gasoline.

Now, we have to calculate the number of miles he travelled in each gallon.

So, 44 and 1/2 miles can be written as 44.5 miles.

And 1-1/4 gallons can be written as 1.25 gallons.

Now, we need to form an equation from the above condition;

=> 44.5 = 1.25

=> x = 1 (here, x is the number of miles per gallon)

Now, after cross multiplying the equation;

=> 44.5 × 1 = 1.25 × x

=> 44.5 = 1.25 x

=> 44.5 / 1.25  = x

=> x = 35.6 miles per gallon

Therefore, the unit rate for miles per gallons is 35.6 miles per gallon used by him.  

To know more about this topic, click here:

https://brainly.com/question/791578

#SPJ9

Answer:

1. 325

2. 130

3. 325 - 130 = 195

4. 195

Step-by-step explanation:

Find the original price

Get the discount percentage

Calculate the savings

Subtract the savings from the original price to get the sale price

and You're all set!

Answer:

Mei is correct because -9 is to the left of -3 on the number line.

Step-by-step explanation:

This is because -9 is LESS than -3, when you add or subtract using negative numbers, such as 7-9, you get -2. However when you subtract 7-13, you get -6. Because you subtracted a greater number from 7, your answer is -6 is LESS than -2. This is the same with inequalities, greater negative numbers will always be smaller and smaller negative numbers will always be greater.

Hope this helps!

Answer: 0.7

Step-by-step explanation:

Let the number of white cows be x

Thus, the number of brown cows be (x+12)

Hence,

x+(x+12)=60

x+x+12=60

2x+12=60

2x+12-12=60-12

2x=48

Divide both parts of the equation by 2:

x=24 white cows

x+12=36 brown cows

The number of white cows are less than one year old:

[tex]\displaystyle\\\frac{3}{4}(24)=\\\\\frac{3(24)}{4}=\\\\ 3*6=\\\\ 18\ white\ cows[/tex]

The number of brown cows are less than one year old:

[tex]\displaystyle\\\frac{2}{3}(36)=\\\\ \frac{2(36)}{3}=\\\\ 2*12=\\\\24 \ brown \ cows[/tex]

The total number of cows are less than one year old:

[tex]18+24=42\ cows[/tex]

Thus

Fraction of all the cows are less than one year old:

[tex]\displaystyle\\\frac{42}{60}=\\\\\frac{6*7}{6*10}=\\\\\frac{7}{10} =\\\\ 0.7[/tex]

The patient of 92 kg of weight should be given 73.6  µg of prescribed medication every 12 hours .

It is given that a patient is prescribed 0.8 µg per kilogram every 12 hours

Using unitary method , we get

1 kg of body needs = 0.8 µg of medication

92 kg of body needs = 0.8 × 92

                                    = 73.6  µg of medication

Dose required in 12 hours = 73.6  µg of medication

Learn more about unitary method here :

https://brainly.com/question/24587372

#SPJ9

The measure of angle FGE from the given figure is 28° when  the measure of arc CDE = 118° and the measure of arc EF = 62°.

The measure of an arc is equal to the measure of its corresponding central angle.

From the given figure, the measure of arc CDE = 118° = corresponding central angle (∠CAE)

So, ∠CAE = 118°

From the given figure, the measure of arc FE = 62° = corresponding central angle (∠FAE)

So, ∠FAE = 62°

As we know the radius of a circle is perpendicular to the tangent.

That is, AE ⊥ EG

So, ∠AEG = 90°

Now, ∠AGE+∠AEG+∠GAE = 180° (The sum of interior angles of a triangle is equal to 180°)

∠AGE + 90° + 62° = 180°

⇒ ∠AGE + 152° = 180°

⇒ ∠AGE = 28°

So, ∠AGE = ∠FGE = 28°

Therefore, the measure of angle FGE from the given figure is 28°.

To learn more about the arc length visit:

brainly.com/question/16403495.

#SPJ1

A. He now receives paid vacation days at the end after four years of employment = 13Days.

B. he make it while on vacation = $2,704.00

Paid vacation is a set amount of time which employers grant to their employees to spend throughout the year. When an employee spends a paid vacation day, they are not required to work that day, but they will be paid the same as if they had worked.

Paid vacation and sick days assist balance your employees' physical and emotional health and well-being, while also providing adequate paid time off to fulfill personal and family responsibilities while keeping your firm successful.

A. He now receives paid vacation days at the end after four years of employment..

#of years worked             # of vacation days

     0                                                     5

     1                                                5 + 2 = 7

     2                                                7 + 2 = 9

     3                                                9 + 2 = 11

     4                                                11 + 2 = 13

He now receives paid vacation days at the end after four years of employment = 13Days.

B. will he make it while on vacation.

Find his daily pay:

5 days per week with

52 weeks per year

                                  Daily pay = Annual salary/(5 x 52)

                                                     = 54,080/ 260

                                                    = $208.00

Find his vacation pay

Vacation pay = Daily pay x of days

= 208 x 13

= $2,704.00

he make it while on vacation = $2,704.00

To know more about paid vacation visit:

https://brainly.com/question/18184732

#SPJ9

I understand that the question you are looking for is:

Alan works for a printing company. It has been a little over four years since he was hired. He now makes $54,080 per year. When he was hired he was told that he had five days of paid vacation time. For each year that he worked at the company, he would gain another two days of paid vacation time to a maximum of 20 days.

A. How many paid vacation days does he now get at the end of four years of employment.

B. How much will he make during the time he is on vacation?

Answer:

  N, Y, N, Y, Y

Step-by-step explanation:

Given 5 scenarios, you want to know which of them involves a proportional relationship.

A relation is proportional if the "output" is zero when the "input" is zero, and the rate of change is constant. The graph of a proportional relationship is a straight line through the origin.

Any relation involving a base cost or flat fee will not be a proportional relationship. The graph of such a relation may be a straight line, but it will not go through the origin.

In the given scenarios, the cost of the pizza has an associated base cost. The cost of the bike rental has a flat fee. Neither of these relations are proportional relations.

The others all have a constant rate of change:

These relationships are proportional.

Answer:

El chapo so that your mean

The quotient of the division (4d² + 2d - 3) ÷ (d - 7) is 4d + 30 and remainder is 207.

Dividing one polynomial by the other is very similar to dividing one number by the other.

The steps for dividing polynomials using long method are as follows:

For the given question;

Dividend  = 4d² + 2d - 3

Divisor = d - 7

Divide dividend by divisor.

= ( 4d² + 2d - 3)/(d -3)

The quotient will come as 4d + 30.

Remainder = 207.

Thus,  4d² + 2d - 3 is not completed divisible by d - 3.

To know more about Long Division, here

https://brainly.com/question/2264624

#SPJ9