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If we have a number X and we multiply it by a power of 10, then:

Example:

x = 7 and we want to multiply it by 1,000

Another example:

x = 27 and we want to multiply it by 1 million

Step-by-step explanation:

56.28 is the awnser to 10.05x5.6

We will have 2 tiles, let us draw them

A rational number is a number that is the form p/q where p and q are integers, and q is not equal to 0.

So, in this case, we have:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

Therefore, all given numbers are rational because they can be expressed in the form p/q where p and q are integers, and q is different from zero.

Answer:

1. 3^7 or (2187)

2. 1/3

3. 3

4. 3^12

SIDE NOTE:

I'M NOT COMPLETELY SURE IF THESE ARE CORRECT DON'T TAKES THESE FOR GRANTED.

In linear equation, 10,550  is your main source of news.

What are a definition and an example of a linear equation?

Proportion of adults when main source of news on the internet

                              = [tex]\frac{No, of adults with internet of the main source of news}{total mo of samples}[/tex]

                              = 90/68+90+201+25+41

                             = 90/425  ⇒ 0.211

No. of adults in  grand city whose main source of news is the internet

                              =  Proportion   ×  total population of grand city

                              = 0.211 × 50,000

                               = 10,550

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From the diagram, the angles that are not congruent to the angle < 3, are

If x variable represents the money your brother has without the value of the airplane ticket, then, the expression x + 637 is the total money he has at the beggining.

In the sense of an inequality, it means x + 637 must be lower or equal than 2000 dollars, which was the initial money yoir brother had.

Then, you have:

x + 637 ≤ 2000

to solve the previous inequality, subtract 637 both sides:

x + 637 - 637 ≤ 2000 - 637 simplify both sides

x ≤ 1363

Hence, the solution to the ineuqality is x ≤ 1363

Your brother can spend at least 1363 dollars

The Area of the composite shape is the sum of the areas of the triangle and that of the square

Area of square = length x breadth =>

Area of Traiangle = 1/2 (base x height)

=>

Explanations:

The given equation is:

3(5 - p) - 2(5 + p) = 3(p + 1)

Step 1: Expand all the brackets

15 - 3p - 10 - 2p = 3p + 3

Step 2: Collect like terms ( That is, let everything that has p go together)

15 - 10 - 3 = 3p + 3p + 2p ( Note that the sign changes when anything crosses the equality sign)

2 = 8p

Step 3: Divide both sides by 8

2/8 = 8p/8

1/4 = p

p = 1/4

p = 0.25

For given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.

As given in the question,

Let 'h' hours be the time when service two companies to charge the same amount

A1 plumbing service company;

Charges $35 per hour plus a $25 travel charge for a service call

Equation:

y=25 + 35h

Good guys plumbing repair company :

Charges $40 per hour for a service call with no travel charge

Equation:

y=40h

Time when service two companies to charge same amount

25 +35h = 40h

⇒40h -35h=25

⇒5h=25

⇒h=25/5

     =5hours

Therefore, for given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.

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After solving equation, the number of fish caught by Jay is 18 fishes and Blair is 9 fishes.

What is equation?

In mathematics, the statement based problems can be solved by forming the equation. And it consists of dependent variable as well as independent variable.

According to the question, the given parameter states that the Jay and Blair together they caught 27 fishes. And Jay caught 2 times as many fish as Blair.

Therefore, the equation can be written for the given statement is as follows:

J + B = 27

J = 2B

Substituting the above value in the formed equation, we get:

3B = 27 ⇒ B = 9

And, J = 2(9) = 18

Hence, after solving equation, the number of fish caught by Jay is 18 fishes and Blair is 9 fishes.

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The given speed time graphs represents the outline of the speed of the car with time.

The correct options are;

Graph E matches the description of the car is stopped, because it consists of an horizontal line at a pro on the x–axis

Graph F matches the description the speed of the car is decreasing because graph E is a straight line graph that slopes downward from left to right

Graph G matches the description, The car is traveling at a constant speed because the graph remains the same as the time increases

Graph H matches the description of the car the car stoped because the location of the graph is on the x-axis

Graph F represent matches the description of the car speeding up

A speed time graph is one that shows the variation of speed with time for an object.

The given graphs in the question are speed time graphs such that we have;

5. When the car stops, the speed is zero, and the graph consists of an horizontal line (showing that the zero speed (stopping) is constant over a period of time) that is located on the x–axis, where the y–axis value is zero.

Graph H matches the description of the car is stopped because the graph consists of an horizontal line located on the x–axis

Graph

6. When the car is in motion, and the speed is constant, the graph will consist of an horizontal line at the specified speed. The horizontal line at the speed indicates that the speed is not changing.

Graph G matches the description of the car is traveling at a constant speed because the graph consists of a horizontal line at a positive y–value larger than zero or above the x–axis

7. When the speed of the car is decreasing, it means that as the time increases from left to right, the speed is decreasing simultaneously, which is given by a graph of a straight line that slopes downward as the time increases from left to right

Graph E matches the description of the speed of the car is decreasing because the graph consists of a straight line graph that slopes from left to right.

8. The graph of a car coming back is given by a graph that has negative y–values, such that the line of the graph is in Quadrant IV

A graph that matches car coming back will be located below the horizontal x–axis

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As the coefficient of x^2 is negative, we get that the parabola opens down. So the vertex is a maximum

Answer:

Circle area

Explanation:

The arc measure is a part of the complete measure of the circle, which is 360 degrees. In the same way, the area of the sector is a part of the area of the complete circle.

Therefore, the answer is

Circle area

If Mindy worked on her proyect and hour and a half, it means she took 90 minutes.

Thereby, Mindy worked on her project 15 minutes more than Tyler.

Answer:

P(Z < 1.5) = 0.9331927987

By Green's theorem,

[tex]\displaystyle \oint_C x^2y^2 \, dx + (x^2-y^2) \, dy = \iint_{[0,1]^2} \left(\frac{\partial(x^2-y^2)}{\partial x} - \frac{\partial(x^2y^2)}{\partial y}\right) \, dx \, dy \\\\ ~~~~~~~~ = \int_0^1 \int_0^1 (2x - 2x^2y) \, dx \, dy \\\\ ~~~~~~~~ = \int_0^1 \left(1-\frac23 y\right) \, dy \\\\ ~~~~~~~~ = 1 - \frac13 = \frac23 \approx \boxed{0.67}[/tex]

Answer:

8/3 or 2.67

Step-by-step explanation:

your explanation is in the image below hope this helps sorry if wrong

Your First question says what happens when you have a positive value minus a negative value.

Let the positive value be a and the negative value be - b

a - (- b) = a + b

Note

The second question says what happens when we have a negative value minus a negative value.

-a - (-b) = -a + b

Note

The rate of the boat when it's still in water is 7mph.

Based on the information, one can denote that the travel times are the same. The formula to calculate the rate will be:

d1/v1 = d2/v2

where

v = rate

d = distance of miles.

This will be:

t = 16/(v - 3) = 40/(v + 3)

Cross multiply

40(v - 3) = 16(v + 3)

40v - 120 = 16v + 48

Collect like terms

40v - 16v = 48 + 120

24v = 168

Divide through by 24

24v/24 = 168/24

v = 7 mph

The rate is 7mph. This shows the concept of the calculation for rate.

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Total students: 258

Students that rode in cars = 30

258 - 30 = 228 students left

There are 4 busses ( assuming that each bus has the same number of students)

Students in each bus = students left / number of buses = 228 / 4 = 57

Answer: 57 Students

Answer:

B. Zero

Explanation:

The solutions of the system of equation are the points where the graph intersect. In this case, the red function and the blue function doesn't cross each other. So, the system formed by these non linear equations has no solutions.

Therefore, the answer is:

B. Zero

Answer:two

Step-by-step explanation:

We have the next

The possible values of 'a' for this are

the value of a could be all the values between -3 and 3 including -3 and 3

ANSWER

[-3,3]

we get that the function is x-10, and the values to replace are: -1,0,1,2

so the answer is:

Answer:

$74.40

Step-by-step explanation:

first we find 20% of 62

62 * 0.2 = 12.4

20% of 62 is 12.4

now we add 12.4 to 62

62 + 12.4 = 74.4

The line passes through 2 points given:

We can find the slope using the slope formula shown below:

Substituting the points into the formula:

The slope of the line shown in the figure is:

No, the table does not represent a linear function

Explanation

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. it has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y

Step 1

graph

so, the graph does not represent a linear function , Also

the volume of a cube is given by

the exponent of the function is 3, and for a linear function the exponent in the varialbe must be 1,

By using the property of linear pair we can prove that m∠2=m∠3 .

Let us use the template that is provided to find the solution.

1. ∠1 and ∠2 are supplementary           (Linear pair)

 ∠3 and ∠4 are supplementary.

2.m∠1 + m∠2 = 180°                        (definition of supplementary angles.)

3.m∠3 + m∠4 = 180°                        (definition of supplementary angles.)

4.m∠1 + m∠2 = m∠3 + m∠4            (Substitution property)

or, m∠1 + m∠2 = m∠1 + m∠3

5. m∠1 =m∠4                                    (given)

6. m∠2 = m∠3                                  ( Subtraction property)

Therefore we can see that the two angles are equal due to the properties of linear pair and substitution property.

A linear pair of angles is formed when two  straight lines intersect at only 1 single point. The angles are known to be a linear pair  if they exactly follow the point where the two straight lines intersect only in a straight line. The sum of the angles in a pair of linear equations is always equal to 180°.

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The planets orbit around stars. Our solar system is an example of that, all the planets in our system orbit around a star, the Sun.

Hence, the answer is stars.