Write an equation of the line that passes through point (2, −4) and has the slope m=.5. y=

The issues are divided into groups according to the four mathematical operations: addition, subtraction, multiplication, and division (suitable for pupils in the second or third grade who have mastered decimal division). Here answer will be $66.

These worksheets on money word problems expose pupils to practical issues and arithmetic applications. The issues are divided into groups according to the four mathematical operations: addition, subtraction, multiplication, and division (suitable for pupils in the second or third grade who have mastered decimal division).

Not all possible values of the domain may be covered by an operation's definition. For instance, it is impossible to square the roots of negative numbers or divide by zero in real numbers. An operation's domain of definition, also known as the active domain, is the set of values for which the operation is specified. However, the set of real values obtained by the operation is its codomain of definition, active codomain, image, or range. The set that contains the values created is referred to as the codomain. For instance, only non-negative numbers are produced by the squaring operation when applied to the real numbers; the set of real numbers is the codomain, but the non-negative numbers are the range.

Each month payment= $125

8 months payment= $125*8= 1000

cost of a car= $934

cost to pay all at once= $1000-$934

                                    = $66

To know more about multiplications visit: https://brainly.com/question/27118503

#SPJ9

19.7 as a mixed number is  [tex]19\frac{7}{10}[/tex].

Given:

Decimal number = 19.7

To convert it to a mixed number,

Remove the decimal point and add 10 in the denominator as it has one number after the decimal point.

19.7 = 197/ 10

Now divide and write it into a mixed fraction form,

= [tex]19\frac{7}{10}[/tex]

To learn more about mixed numbers visit:

https://brainly.com/question/15273262

#SPJ9

Answer:

2x² + 12x

Step-by-step explanation:

   Area of rectangle = length * width

Poster 1:

        length = x inches

        widht = (x + 5) inches

Area of poster 1 = x * (x + 5)

                           = x*x + x*5     {Distributive property}

                           = x² + 5x square inches

Poster 2:

      length = x inches

       width = (x + 7) inches

Area of poster  =x *(x+ 7)

                        = x*x + x*7

                        = x² + 7x

Area of wall = area of poster1 + area of poster 2

                    = x²+ 5x + x² + 7x

                    = x² + x² + 5x + 7x    {Combine like terms}

                    = 2x² + 12x

Answer:

[tex]2x^2+12x[/tex]

Step-by-step explanation:

Dimensions of Poster 1:

Dimensions of Poster 2:

The posters can be modeled as rectangles.

[tex]\boxed{\textsf{Area of a rectangle}=\sf length \times width}[/tex]

Therefore, the expressions for the area of each poster are:

[tex]\implies \textsf{Area of Poster 1}=x(x+5)[/tex]

[tex]\implies \textsf{Area of Poster 2}=x(x+7)[/tex]

Therefore, the expression that represents the area of the wall that the posters will cover is the sum of the expressions of the areas of the individual posters:

[tex]\begin{aligned}\textsf{Area of wall posters will cover}&=\textsf{Area of Poster 1}+\textsf{Area of Poster 2}\\& = x(x+5)+x(x+7)\\&=x^2+5x+x^2+7x\\&=x^2+x^2+5x+7x\\&=2x^2+12x\end{aligned}[/tex]

The Area of the figure ,composing of a square and four semicircles is 832.7 sq. units

The Length of the side of the square is 18 units which is also the diameter of the semicircle.

So, The Area of square is Length * Length = 18*18 = 324 sq. units

Now, the radius of semicircle = 0.5(diameter)= (0.5)*18 = 9 units

The area of semicircle = half of area of circle = (0.5)3.14(radius)(radius)

The area of one semicircle = (0.5)3.14(9)(9)

The area of one semicircle = 127.17

The Total area of figure consists of 4 semicircles and one square

So, Total area = 4(area of 1 semicircle) + area of square

Total area = 4(127.17) + 324

Total area =  832.68 sq. units

rounding off the total area = 832.7 sq. units

Therefore, the total area of the given figure is 832.7 sq. units.

Learn more about Area here

https://brainly.com/question/27683633

#SPJ1

Step-by-step explanation:

[tex]7x - 5(x + 6) \\ 7x - 5x + 30 \\ 2x + 30[/tex]

No, the combination lock is not appropriate. This is so as the repetition is  allowed, neither permutation nor the combination rule holds true or valid.

Learn more, https://brainly.com/question/24288075  

#SPJ4

Answer:

brainliest pls

Step-by-step explanation:

On Dan's map the distance between Cleveland and Columbus is  11.36 centimeters .

In the question ,

it is given that ,

the scale factor  of Dan's map is 25 miles = 2 cm

So , 1 mile = 2/25 cm

= 0.08 cm  

So , on Dan's map 1 mile is represented by 0.08 cm

Given that the actual distance between Cleveland and Columbus is 142 miles .

So , on Dan's map

142 miles = 0.08*142 cm

= 11.36 cm

we get , 142 miles = 11.36 cm

Therefore , On Dan's map the distance between Cleveland and Columbus is 11.36 centimeters .

Learn more about Scale Factor here

https://brainly.com/question/4526389

#SPJ1

Jamal is correct ( ½+⅓ =⅚), when he says that when adding two unit fractions, the numerator is found by adding the denominators, and the new denominator can be found by multiplying the previous denominators.

A denominator is the lowest number in a fraction that indicates how many equal parts are divided into a whole. It is a fraction's divisor. In this case, the denominator is 4, thus there are four components overall.

In a fraction, the number above the line is the numerator. For instance, the numerator of the fraction 3/5 is 3. A fraction's numerator displays the number of pieces that make up the whole while the denominator.

Adding 2 unit fractions example ½ and ⅓

By Jamal’s theory, 2+3=5

2*3=6

½+⅓ =⅚

Hence the theory is proved right.

Drawbacks of Jamal’s Shortcut,

It is only for the unit fraction and not for any other type of fractions.

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ10

Position of 1083 is 19 in the sequence that is the first one with a value greater than 1000.

What is Sequence?

A list of numbers or objects in a special order is called sequence.

Given that;

The nth term of a sequence = 3n²

Now,

Let [tex]a_{n}[/tex] be the nth term.

Then, [tex]a_{n} = 3n^{2}[/tex]

Let m be the term which is the first term with a value greater than 1000.

Then, [tex]a_{m} > 1000[/tex]

Substituted the value of [tex]a_{m}[/tex] we get;

3m² > 1000

Divide by 3 we get;

m² > 1000/3

m² > 333.333

Take square root both side;

m > √333.33

m > 18.25

Thus, m = 19

So, 19th term is the first one with a value greater than 1000.

Hence, [tex]a_{19} = 3(19)^2 = 3 * 361 = 1083[/tex]

Thus, Position of 1083 is 19 in the sequence that is the first one with a value greater than 1000.

Learn more about the sequence visit:

https://brainly.com/question/26115620

#SPJ1

It's important to know that the sum of two opposite numbers is zero because opposite numbers have the same absolute value but opposite sign, for example, 2 and -2 are opposite numbers.

The correct number line must have its final position on zero.

Notice that the number line A shows -5 as the initial number and then goes back 5 units to zero.

Answer:

2x-y=18

-2x-9y=2

cancel 2x

add equation:

-y+(-9y)=20

-10y=20

y=-20/10

y = -2

input y in any equation:

2x-(-2)=18

2x+2=18

2x=18-2

2x=16

x= 8

Answer:

3.3*10^5 is the largest one.

Step-by-step explanation:

Comment

The threes out in front are the same. The next digit, (the tenths) are 3 and 1 since 3 is greater than 1, the answer is

3.3*10^5 > 3.1*10^5

Think of it this way. Take away the 10^5 and just look at 3.1 and 3.3. Which is bigger. 3.3 is the larger one.

Answer:

A

Step-by-step explanation:

Answer:

3 bags

Step-by-step explanation:

For all 35 days, the dog will need 35 * 2 = 70 cups

She will need at least 3 bags (72 cups) to sustain 5 weeks

Command Economies -More Public Property, Smaller Wealth Gap ,Less chance for higher income

Mixed Market Economies- Larger Wealth Gap, Greater chance for

higher income, More private property

Economy: An economy encompasses all of the activities related to the production, consumption, and trade of goods and services in an entity, whether the entity is a nation or a small town. No two economies are identical. Each is formed according to its own resources, culture, laws, history, and geography

Command Economies                            Mixed Market Economies

More Public Property                               Larger Wealth Gap

Smaller Wealth Gap                                 Greater chance for higher income

Less chance for higher income               More private property

To learn mor about Economy visit:

brainly.com/question/951950

#SPJ1

Answer:

in the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

-125/4

-124/4=-31

-31 1/4

The domain of the graphed function is option (D)

What is the domain of a graphed function?

In mathematics, the domain of a function is the set of inputs that the function accepts. It is also known as dom(f) or dom f, where f is the function.

The domain of the graphed function is option (D) x is all real numbers.

To know more about domains, click on the link

https://brainly.com/question/13109733

#SPJ9

Answer:

Explanation:

Given:

We must remember that:

Since the value of cos x is given, we plug in the value into 2cos^2x-1. So,

Therefore, the exact value of cos 2x is 7/8.

If £N is shared between three people in the ratio 2:3:7 The largest share is £540 more than the smallest share. the value of N is 1296.

Let x represent the sharing unit

Hence,

2x :3x :7x

so

7x = 2x + 540

7x - 2x = 540

5x =540

Divide both side by 5x

x = 540/5

x = 108

Sharing unit

2x = 2 ×108

= 216

3x = 3 × 108

= 324

7x = 7 × 108

= 756

Value of N = 216 + 324 +756

Value of N = 1296

Therefore we can conclude that the value of N is 1296.

Learn more about value of N here: https://brainly.com/question/3388158

#SPJ1

Step-by-step explanation:

always remember (for your life) : the sum of all angles in a triangle is always 180°.

and the sum of all angles around a single point on one side of a line is also always 180°.

so,

180 = 65 + 51 + angle PSR

angle PSR = 180 - 65 - 51 = 64°

angle PST is the supplementary angle to angle PSR (that means together they have 180°), because of the principle of all angles around a single point (S) on one side of a line (TSR).

so,

180 = angle PST + angle PSR = angle PST + 64

angle PST = 180 - 64 = 116°

Answer:114

Step-by-step explanation:

The value of the inequality is n > 7. 75

Inequalities are simply defined as mathematical relations that makes an unequal or unbalanced comparison between two elements or numbers and even for known mathematical expressions

They are frequently used in comparing two or more numbers on the number line and this is carried out on the basis of their magnitude or size.

Absolute value can be defined as the value of a number irrespective of its direction from zero on the number line.

The absolute value of a number must take the positive sign.

It is represented with the symbol '| |'

Given the inequality:

-5 + |1 - 8n| > 58

find the absolute value

-5 + 1 + 8n > 58

collect like terms

8n > 58 + 4

8n > 62

Make 'n' the subject of formula by dividing both sides by 8

8n/8 > 62/8

n > 7. 75

Hence, the value is n > 7. 75

Learn more about absolute value here:

https://brainly.com/question/24368848

#SPJ1

The answer of the given function is [tex](f-g)(x) = 2x^3+7x^2-7x-3[/tex]. So the answer is C option.

f(x) is a function that can be named to avoid repeatedly writing it out. The function's name is f, and we are providing the variable x to it.

And g(x) also has a similar meaning.  

The given question is a quadratic equation problem.

Given: f(x)= 2x³+7x²-4x-5

And g(x)= 3x-2

To find: (f-g)(x) we have to simply subtract the above to equations

That is [tex](f-g)(x)[/tex] = 2x³+7x²-4x-5-(3x-2)

On opening the brackets we get;

[tex](f-g)(x)[/tex]= [tex]2x^3+7x^2-4x-5-3x+2[/tex]

[tex]= 2x^3+7x^2 -7x - 3[/tex] { here we subtracted and added the like terms together}.

To know more about function f(x) visit:

https://brainly.com/question/12336279

#SPJ9

Answer:

6/8

Step-by-step explanation:

3/4 if we further multiply we get 6/8

Answer:

C) 35

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°.  We also have a right angle which is 90°.

2x - 8 + 90 + x -7 = 180  Combine like terms

3x + 75 = 180  Subtract 75 from both sides

3x = 165  Divide both sides by 3

x = 35

Answer:

$960

Step-by-step explanation:

Quarterly Dividend Per Share = $0.12

Quarterly Dividend For 2000 shares = 0.12 x 2000 = $240

Since there are 4 quarters in a year, yearly dividend for 2000 shares at $0.12 per share

= $240 x 4 = $960

For both triangles to be proven to be similar to each other by the SAS similarity theorem, it also needs to be shown that: A. angle N ≅ angle Z.

The side-angle-side similarity theorem (SAS) states that two triangles can be proven to be similar to each other if two pairs of corresponding sides of the two triangles are proportional to each other and one pair of corresponding angles of the two triangles are congruent to each other.

In the image given, we know that in both triangles:

XZ/LN = 6/2 = 3

ZY/NM = 9/3 = 3

Therefore:

XZ/LN = ZY/NM = 3

This means that the two triangles have two pairs of corresponding sides that are proportional to each other.

Thus, we also need to show that both triangles have a pair of congruent included angles before we can prove both triangles are similar to each other.

Thus, what needs to be shown is: A. angle N ≅ angle Z.

Learn more about SAS similarity theorem on:

https://brainly.com/question/22472034

#SPJ1

We need to solve the s varibale for the given equation:

Hence, s=32