Rewrite 20 − 4x^3 using a common factor.

4x(5 − x^2)
4(5 − 4x^3)
2x(10 − 2x^2)
2(10 − 2x^3)

We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.

Remember the relation:

Distance = Speed*Time.

Here the total distance of the trip is 55mi + 50mi = 105mi

And the total time is 5 hours and 15 minutes, remember that:

60 min = 1 hour

Then; 15 min = 0.25 hours.

So the total time is 5.25 hours, with that we conclude that the average speed is:

S = 105mi/5.25 h = 20 mi/h

The first trip is 55 miles long, then the time in which it is travelled is:

T = (55 mi)/(20 mi/h) = 2.75 hours

The second trip is 50 miles long, then:

T' = (50mi)/(20 mi/h) = 2.5 hours.

We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.

If you want to learn more about average speed:

https://brainly.com/question/4931057

#SPJ1

2 Sevens take that 2 and subtracts is by 7 like this 7 minus 2 which is five

Answer:

Please mark my answer as the brainliest, it would mean a lot to me

There is no anser, 0 can't equal 8

Step-by-step explanation:

3x + 4 = 12 + 3x

3x = 8 + 3x

0 = 8

NO ANSWER

The system of equations that is used to find how many points each girl scored is given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Maddie scored 2 fewer than triple the number of points Crystal scored in their basketball game, hence:

m = 3c - 2.

They scored 30 points in total, hence:

c + m = 30.

Thus, the system is given by:

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer:

Step-by-step explanation: ok so divide by 647

Answer:

66.8 inches

Step-by-step explanation:

The mean height of 16 students is 67.0"

Total height of 16 students = 67 x 16 = 1,072"

When Danielle walks into the class an additional height of 63.6" is added to the total and the new total becomes 1072 + 63.6 = 1135.6"

Since there are now 17 students, mean = 1135.6/17 = 66.8"

If the grid and tanya start typing at the same time, tanya have typed 14.67 pages.

A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.

Now it is given that,

Pages typed by Ingrid = 3

Pages typed by Tanya = 4

So, the ratio of pages, Ingrid : Tanya = 3 : 4

So,  If the grid and tanya start typing at the same time Ingrid has typed 11 pages

Thus, dividing the ratio be 3 we get,

3 : 4 = 1 : 1.33

Now for 11 pages multiplying 1.33 with 11 we get,

1.33 x 11 = 14.67

Thus, If the grid and tanya start typing at the same time, tanya have typed 14.67 pages.

To learn more about ratio :

https://brainly.com/question/22285396

#SPJ1

The Complete question is,

Ingrid types 3 pages in the same amount of time that tanya types 4 pages. If the grid and tanya start typing at the same time how many pages will tanya have typed when ingrid has typed 11 pages ?

Answer:

[tex]\sf\frac{-4+6}{2}[/tex] = 1

Step-by-step explanation:

Let's solve the problem,

→ (-4 + 6)/2

→ 2/2 = 1

Hence, the solution is 1.

Answer: The one that has a picture to itself

Step-by-step explanation:

Use desmos its a free online graphics calculator for graphs. etc

Answer:

[tex] \sf \large \: −6.23[/tex]

Step-by-step explanation:

2.67−8.9

=2.67+−8.9

=−6.23

Step-by-step explanation:

To tell if something is longer than another object is to find the difference between the two objects.

If the difference is < 0, then the object is shorter

If the difference is = 0, then the objects are equal in length

If the difference is > 0, then the object is longer

[tex]6.5 * 10^{-9}[/tex] - [tex]4.75 * 10^{-9}[/tex] = [tex]1.75*10^{-9}[/tex]

The difference is > 0, so the wavelength is longer.

Answer:

0

Step-by-step explanation:

The height of the book is 18 inches tall.

The width of an image of a book shown on a website = 1.5 inches

The length of the book shown on the website = 3 inches

The actual width of the book = 9 inches

Scale of the book image = 1 inches  = 6 inches

The actual heigth of the book:

= 3 × 6

= 18 inches.

The actual book is 9 inches wide and 18 inches tall.

Learn more about height on:

https://brainly.com/question/11309724

#SPJ1

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide

Answer:

3

Step-by-step explanation:

To find the average rate of change from two points: [a, b] we generally use the slope equation, which can be represented as: [tex]\frac{f(a)-f(b)}{a-b}[/tex]

So here let's first calculate f(3) and f(5)

[tex]f(3)=(3)^2-5(3)+14\\f(3)=8\\\\f(5)=(5)^2-5(5)+14\\f(5)=14[/tex]

Now let's plug these values into the equation: [tex]\frac{f(5)-f(3)}{5-3}[/tex]

To get the equation: [tex]\Longrightarrow \frac{14-8}{5-3}=\frac{6}{2}=3[/tex]

Answer:

12

Step-by-step explanation:

The area of the standard sheet of paper is 93 1/2 square inches.

The standard sheet of paper is a rectangle and to find its area, multiply the length by the width.

The area of the rectangle is the region enclosed by the perimeter of the rectangle and is equal to product of length and width.

If the standard sheet of paper has a length of 11 inches and a width of 8 1/2 inches, then:

A = l * w

A = 11 x 8 1/2

A = 93 1/2 square inches

Hence, the area of the standard sheet of paper is 93 1/2 square inches.

To learn more about area of rectangle: https://brainly.com/question/25292087

#SPJ4

The Perimeter of the polygon = 22.43 units.

Given the vertices of the polygon as:

The perimeter of the polygon is the sum of all its sides, UV + VW + UW.

Apply the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] to find the length of each of the three sides of the polygon as shown below:

UV = √[(3−(−2))² + (4−4)²]

UV = √[(5)² + (0)²]

UV = √25

UV = 5 units

VW = √[(3−3)² + (4−(−4))²]

VW = √64 = 8 units

UW = √[(−2−3)² + (4−(−4))²]

UW = √89 = 9.43 units

Perimeter of the polygon = 5 + 8 + 9.43

Perimeter of the polygon = 22.43 units

Learn more about perimeter of polygon on:

https://brainly.com/question/3310006

#SPJ1

The value is 3. 24. Option C

Index form is defined as the power or exponent that is raised to a number or a variable.

From the information given, we have the expression to be represented as;

[tex](\frac{(1.8)^7}{1. 8^6} )^2[/tex]

Now, we have to expand the exponential value of the bracket, we have;

[tex]\frac{(1. 8)^7^*^2}{(1. 8)^6^*^2}[/tex]

expand the bracket

[tex]\frac{(1.8)^1^4}{(1.8)^1^2}[/tex]

Using the laws of laws of indices, take the inverse of the denominator

(1. 8)^14-12

(1. 8)²

3. 24

Thus, the value is 3. 24. Option C

Learn more about index form here:

https://brainly.com/question/15361818

#SPJ1

Answer:

3.24

Step-by-step explanation:

perimeter is just all sides added so the answer would be 37+54+48 = 139

A total of 200 tickets was sold whereas 120 tickets were for adult and 80 tickets for the child.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

As a result, multiplying by 2, the man travels 3.5 miles in one hour.

The distance the man walks in 7 hours, multiplied by 7, comes out to be 24.5 miles. Alternatively, you might divide the man's distance traveled by 7, or X, to get 7 (x/7). It equals the time needed to travel X miles, which is 2 hours (7/2), divided by the time needed to go X miles, which is 7 hours. X, therefore, equals 24.5 miles.

To learn more about the Unitary method, Visit:

https://brainly.com/question/24587372

#SPJ4

Answer:

.

Step-by-step explanation:

1st option. -27. is the answer

Answer: -22.5

Step-by-step explanation:

-12.5+(-10)=

-12.5-10=

-22.5

The number of beans calculated by physical counting and by calculating the number of beans could always be different unless the bean in the jar is not identical.

Given that,
To give at least one physical explanation for nay difference between the actual number of beans in the container and the number of beans determined by the experiment.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let's assume we have 1 kg o bean in a jar but the weight of all the individual bean are not the same, that's why the number of bean in physical counting differs from the number of beans calculated from the calculation in an experiment,

Thus, the number of beans calculated by physical counting and by calculating the number of beans could always be different unless the bean in a jar is not identical.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ4

62+90+x=180

152+x=180

x=28

28

If the two tringles are similar they will have equal angles

and it is also right angle try angle this means we have two angles given

90,62

the mesurement of triangle is 180 so to find x we will

90+62+x=180

x=180-90+62

x=180-152

x=28

The person who first reaches the goal is Julie because she raise more than the amount Mary raise per day

Mary

= $3

Julie:

= $3.17

Therefore, the person who reaches the goal first between Mary and Julie is Julie

Learn more about equation:

https://brainly.com/question/4074386

#SPJ1

Charnita Jones will have to pay $5 more in federal income tax.

According to the question we have been given that Charnita Jones

As sales assistant she earned = $304.80

After promotion as assistant manager she will earn = $332.50

Number of allowance she claims = 1

We need to find how much more she will pay in federal income tax.

For that we will first calculate how much she paid when her earning was $304.80. For this we will use the table for single persons-weekly payroll period. In that table, first we will choose the row of wages from the column number 1. We look to that row where $304.80 will lie that is the row will be $300-$310. then we will look for allowance that is 1. Thus the tax she will pay will be in column of allowance 1 and in the row of   $300-$310 is $22.

In similar way we will find out the tax she will pay when she earn $332.50 which is $27.

Difference = $27 - $22 = $5

Hence she will have to pay $5 more in federal income tax.

Learn more about tax here : https://brainly.com/question/12217635

#SPJ9

The Domain of a relation is the set of all allowable inputs. It is all the x-values in the (x, y) points determined by the relation.

The Range of a relation is the set of the resulting outputs. It is all the y-values in the (x, y) points determined by the relation.

Now, the given relation is {(2, 1). (-4, 5), (1, 7), (2, -3), (-1,2)}

The Domain of the given relation will be

= {2, -4, 1, -1}

And the Range of the relation will be

= [1, 5, 7, -3, 2]

Know more about Domain and Range: - https://brainly.com/question/28709539

#SPJ9

The algebraic expression for the sum of (k) and (l) divided by the sum of (d) and (e) is: (k + I) / (d + e) =

To solve this problem, we have to state the equation using the information of the problem:

Algebraic Expression:

"the sum of (k) and (l) divided by the sum of (d) and (e)"

(k + I) / (d + e) =

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

Learn more about algebraic operations at: brainly.com/question/3927786

#SPJ4

The slope of the line = rise/run = 2/3.

To determine the slope of a line, we can find the ratio of the rise of the line to that of its run.

Therefore, slope (m) of a line = rise/run.

Rise = vertical distance across the line

Run = horizontal distance across the line

In the graph given, we have:

Rise is the blue line = 6 units

Run is the red line = 9 units

Slope of the line (m) = 6 units/9 units

Slope of the line (m) = 2/3

Therefore, In simplest form, the slope of the line = rise/run = 2/3.

Learn more about the slope on:

https://brainly.com/question/16949303

#SPJ1