Andy and Trevor share 40 sweets in a ratio 11: 9
How many more sweets does Andy receive than Trevor does?

Answer:

x = - 1 or x = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

3x² + 5x + 2 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 2 = 6 and sum = + 5

the factors are 3 and 2

use these factors to split the x- term

3x² + 3x + 2x + 2 = 0 ( factor the first/second and third/fourth terms )

3x(x + 1) + 2(x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(3x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex]

The difference is quartiles 3 - quartiles 1 = 2.05 - 1.79 = 0.26

The first quartile (Q1) is the 25th percentile of a dataset, which separates the lowest 25% of the data from the rest. The third quartile (Q3) is the 75th percentile of a dataset, which separates the lowest 75% of the data from the highest 25%. To find the difference between Q1 and Q3, you would subtract Q1 from Q3.

In this specific dataset, you would need to sort the values first in increasing order:

1.61, 1.75, 1.79, 1.84, 1.96, 2.09, 2.11

The first quartile (Q1) is the median of the lowest half of the dataset, which is 1.79

The third quartile (Q3) is the median of the upper half of the dataset, which is 2.05

so the difference is Q3 - Q1 = 2.05 - 1.79 = 0.26

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Based on this information, Gregory can make a valid conclusion.

Sampling methods are methods used to create a sample in for a survey. There are probability sampling methods as well as non probability sampling methods.

Given sampling method done by two students, Mike and Gregory, to choose a sample of students to survey the students interested in summer camp.

Names of students are listed in an alphabetical order.

Mike chooses the name of every student in 7th grade on the list and Gregory chooses the name of every 3rd student on the list.

The sampling of Mike will lead to sampling bias. Here the conclusion which can be made about the total population is weaker because only the students of particular class is attending. Conclusions may be more limited.

Whereas in the case of sampling of Gregory, he uses one of the probability sampling method called systematic sampling method. The sampling using probability sampling method is more convenient as it has less sampling bias as well as research bias.

Hence Gregory can make a valid conclusion in this case.

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The area of the oil spill is 2.924π square inches.

What is the radius of the circle?

Any line segment connecting a circle's center to its perimeter is considered a circle's or sphere's radius, and in more recent usage, their length is also considered. The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."

Here, we have

The radius of the circle of oil spread is modeled by the function r = ∛s where s = time in seconds.

The area of the oil spill A = πr²

= π(∛s)²

So, we need to find the area of the oil spill when s = 5.

So, A = π(∛s)²

A = π(∛5)²

A = π(1.7099)²

A = 2.924π square inches.

Hence, the area of the oil spill is 2.924π square inches.

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Answer:

i do not not the answer of this question

The value of 5 1/7 minus 2 5/21 will be 2 19 / 21.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Based on the information, the value of 5 1/7 minus 2 5/21 will be:

= 5 1/7 - 2 5 / 21

= 5 3/21 - 2 5 / 21

= 2 19 / 21

The value is 2 19/21.

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Answer:

see explanation

Step-by-step explanation:

under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

C (1, 9 ) → C' (- 9, 1 )

D (4, 9 ) → D' (- 9, 4 )

E (0, 3 ) → E' (- 3, 0 )

From the table for Drew's week 1 classes:

Domain = {English, Math, History, Biology, Biology Lab}

Range = {60. 90, 45, 0}

A function's domain is the set of values that can be plugged into it. This set contains the x values in a function such as f. (x). A function's range is the set of values that it can take. This is the set of values that the function returns when we enter an x value. They are the y values.

A function can be thought of as a machine on an assembly line. On one end of the assembly line, there are a few screws and bolts, and on the other end, there is a car. The function is represented by the machine in the middle. The domain consists of the screws and bolts that we insert into the machine (our function).

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If 1 gallon equals 4 quarts, Lorraine fill can 4 jars. Hence option B is the correct option.

What is the unit of an object?

The user can describe locations and dimensions in a wide range of various coordinate systems using unit objects. Every drawing is done in relation to a viewport, and the units determine the coordinate system to use there. "npc" is one example of a unit (coordinate system).

Given Lorraine filled a pot with tomatoes and the volume of the pot is 1.5 gallons.

She wants to fill the tomatoes in jars. The volume of the jar is  1.5 quarts.

1 gallon is equal to 4 quarts.

1.5 gallons is equal to 1.5 × 4 quarts = 6 quarts.

The number of jars that are filled with tomatoes is 6 quarts/ 1.5 quarts = 4.

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Answer: 640

Step-by-step explanation:

1. To help identify what place value to round write out the numbers with their place

the hundreds value in this question is 600

the tens value in this question is 40

and the ones value is 8

Since the questions asks to round to the nearest 10, you would look at the number after 4 and see if it is equal or greater than 5, if so, you would round it up to the next number, which would be 5 and write it like 640.

The inverse of the function is {(5, 3), (8, 2), (5, 1), (3, 0)} and it is not a function

From the question, we have the following parameters that can be used in our computation:

((3,5), (2,8), (1.5), (0.3))

The above ordered pairs can be represented a

(x, y)

This means that the inverse function is

(y, x)

So, we have the following expression

(y, x) = {(5, 3), (8, 2), (5, 1), (3, 0)}

Also, the inverse is not a function

This is so because the x value 5 has different y values 3 and 1

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50 cm is the required perimeter of shape B.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.

A circle's or an ellipse's circumference is referred to as its perimeter.

There are numerous uses in real life for perimeter calculations.

We must sum up the lengths of the rectangle's four sides in order to get its perimeter.

So, according to the given figures:

Shape A's circumference is 60 cm.

Let x cm be the length of each square.

The total length of shape A's free bounds is equal to 12x.

Consequently, 12x = 60.

x = 5 cm

Currently, the length surfaces of form B equal 10x.

Shape B's perimeter equals 10x.

= 10(5)

= 50 cm

Therefore, 50 cm is the required perimeter of shape B.

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Correct question:
Shape A and Shape B are each made from 5 identical squares.

The perimeter of shape A is 60cm. Work out the perimeter of Shape B

Only Erica's equation (y = -0.5x) is proportional

An equation is used to show the relationship between numbers and variables.

The standard form of a linear equation graph is:

y = mx + b

Where m is the slope of the line and b is the y intercept.

Given the Erica equation:

y = -0.5x

The slope is -0.5, hence it is a negative slope and the intercept is at 0, hence it passes through the origin and is proportional

Given the Aliyah equation:

y = 2.5x - 8

The slope is 2.5, hence it is a positive slope and the intercept is at -8, hence it does not pass through the origin and is not proportional

Both equations are linear equations

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Answer:

90 cups

Step-by-step explanation:

Number of cups needed = 30 / (1/3) cups

                                          = 90 cups

Thought process:

1 cup -> 1/3 ounce

3 cups -> 1 ounce

? cups -> 30 ounce

Hence, ? = 30 x 3

                = 90

Answer: it is the 4 one which is 3(5-n)=2n+16

The point (2, 3) lies in the first quadrant.

Quadrant

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.

These are often numbered from 1st to 4th and denoted by Roman numerals: I (where the signs of the (x; y) coordinates are I (+; +), II (−; +), III (−; −), and IV (+; −).

Cartesian system

The Cartesian coordinate system uses a horizontal axis that is called the x-axis and a vertical axis called the y-axis. Equations for lines in this system will have both the x and y variable.

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The coefficient of Y is 10 in  2y 5.

Any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value is known as a coefficient in mathematics. In some phrases, a letter might be substituted for the usual number. For example, x is the variable and a and b are the coefficients in the formula: ax2 + bx + c.

What is a coefficient?

A coefficient is a quantity or number that is coupled with a variable. Frequently, an integer is multiplied by the variable and written next to it. The variables that don't have a corresponding number are presumed to have a coefficient of 1.

10 is the Y coefficient in 2y 5.

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The figure also has a line symmetry for the vertical line x is  5, and a line symmetry for the horizontal line y is 5 .Therefore the figure has both symmetry

A form or item is divided into two equal and symmetrical portions by a line of symmetry. Because it creates a symmetrical split in the figure and the separated pieces look like mirror reflections of one another, we also refer to this line as the axis of symmetry or the mirror line.

An imaginary line that splits a line or shape into two identical parts is called the axis or line of symmetry. The symmetry axis of a parabola will be required of you at higher level mathematics. This u-shaped line on the graph is a parabola.

B) The transformation that maps the figure unto itself are therefore;

1) Rotating the figure 180° about the point (5, 5) which is the center of the figure

2) The figure reflected across the line x = 5 and the figure reflected across the line y = 5

The complete question is : Determine if the figure below has rotational symmetry, line symmetry or both and

describe the transformation that mas the figure onto itself. BE SPECIFIC. You must

name the center of rotation and degree of rotation if it has rotational symmetry or lines of reflection if it has line symmetry

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Answer:

Step-by-step explanation:

You have three segments totaling 82 cm, with the first being 4/9 of the second, and the third being 16 cm more than the second.

We can describe the relationship by the equations ...

  a + b + c = 82

  a = 4/9b

  c = b +16

The equations give each segment in terms of the second one, so we can substitute those relations into the sum:

  (4/9b) +b +(b +16) = 82

  22/9b = 66

  b = 66(9/22) = 27

  a = (4/9)(27) = 12

  c = 27 +16 = 43

The first segment is 12 cm; the second is 27 cm; and the third is 43 cm.

__

Additional comment

We used an ad hoc solution based on the observation that segments 'a' and 'c' were defined in terms of 'b'. We could write the equations as a system of 3 linear equations in 3 unknowns, and solve using matrix methods:

The solution is shown in the attachment: a=12, b=27, c=43.

The length of the leg of the right-angled triangle is (11√2) / 2. The correct option is C.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the right angles triangle has 45-45-90 angles. The hypotenuse is 11.

The length of the leg will be,

Cos45 = Base / Hypotenuse

1 / √2 = Base / 11

Base = 11 / √2

Rationalize the numbers,

Base = 11√2 / 2

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Therefore , the solution of the given problem of equation comes out to be a=1 and b =-1.

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.

Here,

y' = 3x2 = 3(1) (1) 2 = 3

As a result, the slope-point form of the necessary tangent line is: => y-yo = m. (x - xo) y-1=3(x-1)

The two slopes just need to match for y = x2 + ax + b to share a tangent line at the location (1, 1). (In this manner, the slope-point forms of the two tangent lines will be identical.)

Therefore, y = x2 + ax + b must meet the following two requirements:

It must go through (xo, yo) because: (1, 1).

At this point, it must have a slope (y') of 3.

These will provide us with the two unknowns for our two equations. With the first, we have y'= + axo + b.

⇒ 1 = (1)2 + a(1) + b

⇒ 0 = a + b

and the second one gives us

y=2x0+ a

=> 3 = 2(1) + a

=> a = 1

Looks like we know exactly what a is. All we need is to plug this value into the first equation and we'll find b:

a+b=0

b = -a

b = -1

Therefore , the solution of the given problem of equation comes out to be a=1 and b =-1.

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The measure that provides the best information for the reevaluates of premiums by the homeowners insurance company, is  A. claims per dollar value of property.

Homeowners insurance companies may reevaluate premiums for a variety of reasons, including:

This shows that claims per dollar value of a property can affect how an insurance company reevaluates rates.

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Options for this question include:

A. claims per dollar value of property

B. claims per year per city

C. claims per year

D. claims per sub-division

The number of nonzero letters that will see Ash and Bea's engraving prices being the same, is  25 letters

The formula for the cost to engrave with Ash, given that the number of letters engraved is x, would be :

= Flat fee + Cost per letter x Number of letters after 21 letters

= 1. 50 + 0. 08 x

The formula for the cost to engrave with Bea, given that the number of letters engraved is x, would be :

= Flat fee + Cost per letter x Number of letters after 15 letters

= 1. 60 + 0. 07 x

Equating these equations together will show the number of letters :

1. 50 + 0. 08 x = 1. 60 + 0. 07 x

0. 08 x - 0. 07 x =  1. 60 - 1. 50

0. 01 x = 1. 10

x = 0. 10 / 0. 01

x = 10 letters

Number of non zero number of letters would be 25 letters :
= 15 + 10

= 25 letters

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The diameter of Mars is 6825 kilometers.

First we quantify angular size a = 8. 0 arcseconds in radians.

a = ( 8/ 3600) × (π/180)

a = 0.000039 radians

also, the distance from Earth to Mars in kilometres is 175,000,000 km

So, r = 175,000,000 km

We use the formula S = r x a to find the diameter of Mars

Substitute r = 175,000,000 and a = 0.000039 in above formula

S = 175,000,000 × 0.000039

S = 6825 km

Therefore, the diameter is 6825 km

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Answer:6 days

Step-by-step explanation:

62-26=36

36/6=

6

A. ∠F corresponds to ∠F' is True.

B. Segment EE' is parallel to segment FF' is False.

C. The distance from point D' to the origin is One-third the distance of point D to the origin is True.

D. The measure of ∠E' is One-third the measure of ∠E is False.

E. △DEF ~ △D'E'F' is True.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Given:

As triangle DEF was dilated according to the rule DO, One-third(x, y)(one-third x, one-third y) to create similar triangle D'E'F'.

and, The center of dilation = (0, 0)

Also, Triangle FDE has points: (- 9, 3), (- 9, 9), (- 6, 6).

Triangle F'D'E' has points : (- 3, 1), (- 3, 3), (- 2, 2)

A) ∠F corresponds to ∠F'. ( True)

B) Segment EE' is parallel to segment FF'. (False)

As they intersect each other at the origin.

C) The distance from point D' to the origin is One-third the distance of point D to the origin.    ( True)

Now, the length of DE

D = √(-9-0)² + (-9-0)²

D = 9√2

and, length of D'E'

D = √(-3-0)² + (-3-0)²

D = 3√2

Thus, DE / D'E' =  3√2/  9√2 = 1/3

D) The measure of ∠E' is One-third the measure of ∠E. ( False)

E)  △DEF ~ △D'E'F'.  ( True)

As they are similar triangles.

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Answer:

A. ∠F corresponds to ∠F'.

C. The distance from point D' to the origin is 1/3 the distance of point D to the origin.

E. △DEF ~△D'E'F'

Step-by-step explanation:

got it right on edge 23

To know if a triangle is a 30-60-90 triangle, you must check if the triangle's angles measure 30°, 60°, and 90°. Additionally, the sides of a 30-60-90 triangle will have a specific ratio. The longest side of the triangle is always double the length of the shortest side, and the side opposite the 60° angle is always the square root of 3 times the shortest side.

1. Measure the angles of the triangle.

2. Check if the angles measure 30°, 60° and 90°.

3. Measure the sides of the triangle.

4. Check if the longest side is double the length of the shortest side and if the side opposite the 60° angle is the square root of 3 times the shortest side.

To know if a triangle is a 30-60-90 triangle, you must check if the triangle's angles measure 30°, 60°, and 90°. Additionally, the sides of a 30-60-90 triangle will have a specific ratio. The longest side of the triangle is always double the length of the shortest side, and the side opposite the 60° angle is always the square root of 3 times the shortest side.

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To calculate log 10 on a calculator, you will typically use the "log" button. Depending on the type of calculator, you may need to enter the number 10 first, then hit the "log" button.

For example, if using a standard scientific calculator, you would enter 10, then hit the "log" button. On some calculators, you may need to hit the "10x" button first before hitting the "log" button.  On some graphing calculators, you may need to use the "log base" button. When using this button, you would enter 10 as the base and the number you are trying to calculate the log of.

In some cases, you may need to use the "ln" (natural log) button instead of the "log" button. In this case, you would need to use the conversion formula of "ln x = 2.303 log 10 x" to get the desired number.  Finally, some calculators may have an "antilog" button. This button will calculate the inverse of the logarithm or the power of 10 of a given number. To use this button, you would enter the number, then press the antilog button.

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The value of angle x in the triangle shown is 78°

An equation is an expression that shows the relationship between two or more numbers.

A triangle is a polygon that has three sides and three angles. The sum of angles in a triangle is 180 degrees. Types of triangles are isosceles, scalene, equilateral

In the large triangle let the missing angle by y, hence:

y + 87 + 36 = 180  (sum of angle in a triangle)

y = 57°

In the triangle containing the angle 45, let the missing angle be z, hence:

z + y + 45 = 180 (angle in a triangle)

z + 57 + 45 = 180

z = 78°

x = z (corresponding angles are equal)

x = 78°

The value of x is 78°

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Answer:

No

Step-by-step explanation:

Since [tex]2^2+3^2 \neq 5^2[/tex], the side lengths do not satisfy the Pythagorean theorem.