Is addition distributive?.

Answers

Answer 1

Yes, the distributive law is followed by the addition arithmetic operation. 

Distributive Property of Multiplication Over Addition: This implies that the operation involves dividing or distributing the things. The distributive law applies to addition and subtraction arithmetic operation.

Distributive Property of Multiplication Over Addition : If we need to multiply a number by the sum of two numbers, we are using the distribution properties of multiplication and addition. The expresion for distributive property is: p( q+ r) = pq + pr ; p,q,r are three whole numbers.

For example, let us multiply 8 by the sum of (20 + 3). Mathematically, we can represent this as 8 (20 + 3). First, use the distributive property to multiply each addend by 8. This is called distributing the number 8 over two addenda and then adding their products. That is, multiplication of 8(20) and 8(3) will be performed first, then addition. The result is 8 (20) + 8 (3) = 160 + 24 = 184.

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Related Questions

Is an example of distributive law *?.

Answers

Yes, 3 * ( 5 - 2 ) = ( 3 * 5 ) - ( 3 * 2 ) is an example of distributive law.

The distributive property is also known as the distributive law of multiplication over addition and subtraction. The name itself implies that the operation involves dividing or distributing something. The distributive law applies to addition and subtraction. The formula for the distributive property is expressed as:

Over addition : a( b + c ) = ab + ac

and subtraction : a( b - c) = ab - ac

Example: Solve the expression 7(20 + 3)

Multiplication of 7(20) and 7(3) is done before addition. This leads to 7(20) + 7(3) = 140 + 21 = 161.We have, an expression 3×(5 - 2) =(3 × 5 ) - (3× 2 ).

Consider the left hand side, 3×(5 - 2)

=> 3× 5 - 3× 2 = 15 - 6 = 9

Now, the right hand side, (3 × 5 ) - (3× 2 ) => 15 - 6 = 9 = LHS

Hence, it is an example of distributive law.

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Complete question:

Is 3 * ( 5 - 2 ) = ( 3 * 5 ) - ( 3 * 2 ) an example of distributive law *?.

Solve for x.
z = 6 π x y

This is to help others and myself who are stuck here!
Reward: Brainiest

Answers

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Enrique y Silvia van a dar una fiesta a su nieta
Sofía y desean saber cuántos niños como máxi-
mo deben invitar; el dinero que tienen está re-
presentado por D= $ 7 500x y los gastos están
representados por G = $ 5 900x + 25. ​

Answers

La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

Enrique y Silvia van a dar una fiesta a su nieta Sofía y desean saber cuántos niños como máxi-mo deben invitar; el dinero que tienen está re-

presentado por D= $ 7 500x y los gastos están representados por G = $ 5 900x + 25. ​

Establecer la ecuación.

D = 7500x  -  G

7 500x - 5 900x - 25 = 0

Resolver la ecuación.

1 500x = 25

x = 10

Interpretar la solución.

La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

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Rudy learned to sing a total of 14 pieces over the course of 7 weeks of voice lessons. After 10 weeks of voice lessons, how many pieces will Rudy be able to sing, in total? Solve using unit rates.

Answers

the answer should be 35 songs in total

I need help on this asap! Greatly appreciated!

Answers

We can fill in the fields as:

a) %6.50 shipping fee: x >= $0.01 and x < $20.

b) %9.00 shipping fee: x >= $20 and x < $50.

c) %11.00 shipping fee: x >= $50 and x < $75.

d) %12.25 shipping fee: x >= $75 and x < $100.

e) %13.10 shipping fee: x >= $100.

What is inequality?

An inequality is a mathematical statement that describes the relationship between two values, where one value is not equal to the other.

a) %6.50 shipping fee: x >= $0.01 and x < $20.

b) %9.00 shipping fee: x >= $20 and x < $50.

c) %11.00 shipping fee: x >= $50 and x < $75.

d) %12.25 shipping fee: x >= $75 and x < $100.

e) %13.10 shipping fee: x >= $100.

Each inequality represents a different shipping fee category at GoodSportsBuys.com, with the total cost of items purchased (x) falling within a certain range. The inequality symbol used in each statement represents the range of values that correspond to a particular shipping fee.

Hence, we can fill in the fields as:

a) %6.50 shipping fee: x >= $0.01 and x < $20.

b) %9.00 shipping fee: x >= $20 and x < $50.

c) %11.00 shipping fee: x >= $50 and x < $75.

d) %12.25 shipping fee: x >= $75 and x < $100.

e) %13.10 shipping fee: x >= $100.

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2(3b+6) =78 : Answer is 11

-2(6c-3) = -72 : Answer is 6.5

Check Right Side of both equations

Answers

Answer: The right side of the first equation is 78, and the right side of the second equation is -72. Both equations are correct.

In the first equation, 2(3b+6) = 78, if we solve for b we get b= 11.

In the second equation, -2(6c-3) = -72, if we solve for c we get c = 6.5.

Step-by-step explanation:

What is the ratio of all 30 60 90 triangles?.

Answers

Answer:

see attachement

Step-by-step explanation:

Given the relation, B = { (4,2), (5,-3), (12,4), (-3,6), (x, 7)), which of the numbered choices represents a value for x which will make B a function? 1) -3 2) 4 3) 5 4) 7

Answers

The numbered choice 7 represents a value for x which will make B a function.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A relation B =  {(4,2), (5,-3), (12,4), (-3,6), (x, 7)}.

To prove that the relation is a function:

Each input value gives only one output value.

Input →  output

4 →  2

5 →  -3

12 →  4

-3 →  6

x  → 7.

So, the value of x can not be 4, 5, 12, -3.

From the options, the value of x is 7.

Therefore, the value of x is 7.

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factorise
3x^2+22x+7

Answers

Answer:

(3x + 1)(x + 7)

Step-by-step explanation:

3x² + 22x + 7 =

3x² must factor into 3x and x.

= (3x +    )(x +     )

7 factors into 7 and 1. We can place 7 and 1, or 1 and 7.

= (3x + 7)(x + 1)

or

= (3x + 1)(x + 7)

Now we multiply both possibilities out to see which one produces the middle term 22x that we need.

= (3x + 7)(x + 1) = 3x² + 10x + 7     No what we need

or

= (3x + 1)(x + 7) = 3x² + 2x + 7      Exactly what we need

Answer: (3x + 1)(x + 7)

If 8% is 1400 what would be 100%

Answers

17,500

first find one percent by dividing 1400 by 8 which would give 175 then multiply by 100 to get the full 100%
17,500

1400 x 100 = 140,000

140,00/8 = 17,500

What is the measure of an angle if it is five times?.

Answers

The measure of an angle if it is five times its complement: 75 degrees

Let us assume that the complement of the angle measures m degrees.

we have been given the measure of the angle is five times its complement.

So we get the measure of the angle = 5 × m

We know that two angles are complementary when their measures add to 90 degrees.

So we get an equation, m + 5m = 90

We solve above equation to find the value of m.

m + 5m = 90

6m = 90

m = 90/6

m = 15 degrees

This means, the measure of complement of the angle is 15 degrees.

And the required angle would be,

5 × 15 = 75 degrees

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The comple question is:

What is the measure of an angle if it is five times its complement?.

How do you find the first term?.

Answers

To find the first term can be calculated an = a1 + d(n - 1).

The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). It is possible to obtain a formula for the nth term of the AP using this kind of development. A good example of an arithmetic progression (AP) is the series 2, 6, 10, 14,..., which follows a pattern in which each number is created by adding 4 to the previous term. The nth term in this series equals 4n-2. You may get the terms of the series by changing the nth term to n=1,2,3,... i.e.,

first term = 4n-2 = 4 when n = 1 (1)

-2 = 4-2=2

Second term for n = 2 is 4n-2 = 4. (2)

-2 = 8-2=6

When n is 3, the third term is 4n-2 (3)

-2 = 12-2=10

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One rule of thumb for estimating crowds is that each person occupies 360 square inchesUse this rule to estimate the crowd size of a section that is 20 feet deep by 20 feet wide of a parade route. HINTthere are 12 inches in one foot

Answers

Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.

Surface area is defined

Its surface area is a good indicator of how much space it takes up overall. When estimating the surface area of a three-dimensional shape, the entire environment is taken into consideration. Its surface area determines how big something is overall. The sum of the faces on any and all six of a cuboid's rectangular sides yields the amount of water contained within.

Here,

Given : one person occupies 360 square inches

is 2.5 square foot.

So,

The given dimension of region are :

length = 20 feet and width 20 feet.

Thus,

=> Area = 20*20

=> Area = 400 square foot.

So , number of people in that area will be :

=> 400/2.5

=> 160 peoples.

Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.

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The entire graph of the function f is shown in the figure below.
Write the domain and range of fas Intervals or unions of intervals.

domain
range

Answers

The graph of the entire function f has a domain of (-3 < x < -2) ∪ (0 < x < 1) and the range of (-5 < y < 5).

What do a function's domain and range mean?

The set containing all input values is known as a function's domain.

A function's range is the collection of all possible output values.

In a graph:

The x-values, or horizontal axis, define the domain.

The y-values, or vertical axis, define the range.

The domain of the graph is given by the coordinates of x. For the given graph the x- coordinates are:

(-3 < x < -2) ∪ (0 < x < 1)

The range of the graph is given by the y-coordinates of the graph. For the given graph the y-coordinates are:

(-5 < y < 5).

Hence, the graph of the entire function f has a domain of (-3 < x < -2) ∪ (0 < x < 1) and the range of (-5 < y < 5).

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The measure of an angle is 166.7°. What is the measure of its supplementary angle?
i need help plsss

Answers

An angle has a length of 166.7°. The extra degree at 166.7 is 13.3

How Do I Find Additional Angles?We are aware that two angles are supplementary if their sum is 180 degrees. It is claimed that each angle is a supplement to another angle. In order to obtain an angle's complement, we can subtract an angle from 180 degrees. A typical circumstance is when they are on the same side of a straight line.In geometry, two angles are referred to as supplementary angles if their sum is 180 degrees. For instance, if A + B = 180°, then A and B are considered supplementary angles.Complementary angles always result in a straight angle when combined (180 degrees).

Given,

The measure of an angle is 166.7°.

The supplement of 166.7 degrees is 180 - 166.7  = 13.3

Therefore the answer is 13.3°

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If the bae of the ail i 12 feet long and the height i 16 feet, what i the value of x?

Answers

The value of X will be 96 [tex]ft^{2}[/tex].

From the question, we can conclude that the shape is Triangle.

What is Triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Hence we will use the formula of the area of a triangle.

Area of Triangle = bh/2.

In question, it's given that our Base is 12 ft and our Height is 16 ft.

Area = (12*16)/2

Area = 96 [tex]ft^{2}[/tex]

Therefore our value of area i.e. X will be 96 [tex]ft^{2}[/tex].

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What is the product of 2x2x2?.

Answers

The product of 2x2x2 is 8.

A product is the outcome of multiplication in mathematics, or an expression that specifies the factors (numbers or variables) to be multiplied. For instance, the sum of 6 and 5 is 30. (the result of multiplication).

So 2x2x2 = 4x2= 8

Integers, natural numbers, fractions, real numbers, complex numbers, and quaternions are examples of typical special instances where it is possible to define the product of two numbers or the multiplication of two numbers.

In linear algebra, there are numerous different types of products. Some of them have names that sound confusingly close but have very distinct meanings (outside product, external product), while others have names that sound completely different but basically imply the same thing (outer product, tensor product, Kronecker product). These are briefly discussed in the sections that follow.

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How do you solve systems of equations with 3 variables using substitution?.

Answers

We can solve systems of equations with 3 variables using substitution by finding the value of one variable from one equation then putting the value of that variable in second equation and 3 equation then solving them properly.

The algebraic approach for system can significantly systems of equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another. In this manner, a pair of linear equations are combined into a single, simple linear equation with just one variable.

Equations linear in three variables:

1. Use all but one of your equations to find all the variables that can be expressed in terms of one of the variables.

2. Determine the variable's numerical value using the one remaining equation.

3. Using that figure, determine the answers to all of the other variables.

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What are the types of multiplication method?.

Answers

The types of multiplication method: addition method, long multiplication, grid method, drawing lines and by splitting two digit numbers into Tens and Ones

We know that the multiplication is nothing but a method of finding the product of two or more numbers.

In case of small numbers a multiplication is considered repeated addition, and we can solve simple multiplication problems by adding repeatedly.

But in case of larger numbers, we need to do long multiplication.

Multiplication methods:

1) by Repeated Addition

Consider example 4 × 5

This means, we can solve it as by adding 4 repeatedly five times 4  4 + 4 + 4 + 4 + 4 OR by adding 5 repeatedly four times 5 + 5 + 5 + 5

2) Long Multiplication

3) grid method,

4) by drawing lines

3) by splitting two-Digit Numbers into Tens and Ones

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How do you plot a graph given an equation?.

Answers

To plot a graph an equation starts by determining the equation's variables. Select the variables' possible ranges of values.  

Plot the equation using a graphing calculator or graphing software.

Enter the equation into the graphing calculator if you're using one. Enter the equation in the graphing software if you're using one. Modify the scale and labels of the graph to your specifications.

Draw the points on the graph by inputting the variables' values. Join the points together to create a graph.

All you have to do is change the variables in this formula to graph a linear equation. A linear equation is the simplest form of graph to create because no computations are required before drawing the graph. Draw a simple Cartesian coordinate plane.

Start at the y-intercept to plot the slope. The fraction's numerator is the rise (the number of spaces up), and its denominator is the run (the number of spaces to the side).

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Raul crosses Main Street when he walks home from school. The graph of the function d(t)=4|t-0.75) shows Raul's distance, in miles, from Main Street after thours. The domain of the function is 0 <= x <= 1.5 The graph shows his entire trip

Answers

Raul's distance from Main street decreases in the interval,

0 ≤ t ≤ 0.75. And Raul walks 6 miles to get to school.

What is the distance between two points?

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}.

Given:

Raul crosses Main Street when he walks home from school.

The graph of the function d(t)=4I(t-0.75)I shows Raul's distance, in miles, from Main Street after t hours.

The domain of the function is 0 ≤ x ≤ 1.5.

The graph shows his entire trip.

From the graph;

Raul's distance from Main street decreases in the interval,

0 ≤ t ≤ 0.75.

And to get to school,

Raul walks,

distance = (distance when t = 1.5) - (distance when t = 0)

Distance = (4 x 0.75) - (4 x -0.75)

Distance = 3 -(-3)

Raul walks = 6 miles.

Therefore, Raul walks 6 miles to get to school.

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The complete question is given on the attached image,

Are 1 3 and 2 7 equivalent fractions?.

Answers

No, 1/3 and 2/7 are not the equivalent fractions.

In mathematics, equivalent fractions are those with the same denominator and differing numerators. For instance, because 2/4 and 3/6 are both equal to 1, they are both comparable fractions. Part of a whole is a fraction. Identical portions of the whole are represented by equivalent fractions.

Every fraction has an equivalent fraction, which can be found by multiplying the numerator and denominator by the same integer. In spite of their visual differences, equivalent fractions are those that indicate the same value. For instance, if you take a piece of cake, divide it into two equal pieces, then eat one of them, you will have consumed half of the cake.

let us consider,

1/3 = 2/7

0.33 = 0.29

so, it is not equals.

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Correct Question:

Are 1/3 and 2/7 equivalent fractions?.

PLS HELP ASAP!!! (40 POINTS)

Answers

Answer:

the answer is option A

Step-by-step explanation:

Distance between two points

/XY/ = √((X2-X1)²+(Y2-Y1)²)

Therefore

/XY/= √((7-(-5)²+(15-4)²)

Answer:

First a farl we should know,

Distance (d) = √(x2-x1)^2+ (y2-y1)^2

x(-5,4) = (x1, y1)

y(7,15) = (x2, y2)

Now,

Distance (d) = √(x2-x1) + (y2-y1)

Ans = √(7-5)^2 + (15-4)^2

Answred by : - ||Ziddiboy||

What is 1 more than 99?.

Answers

The Number which is more than 99 is 100.

Number:

Numbers are mathematical objects used for counting, measuring, and labeling. The original example is the natural numbers 1, 2, 3, 4, etc. [1] Numbers can be linguistically represented by numerals. More generally, individual numbers can be represented by symbols called digits. For example, "5" is the number representing the number five. Since only a relatively small number of symbols can be remembered, basic numbers are usually organized into number systems, which are systematic ways of representing each number. The most common number system is the Hindu-Arabic number system, which can represent any number using combinations of 10 basic numeral symbols called digits.

Greater than Number:

Greater than or equal to in mathematics is an inequality used to compare two or more numbers, quantities, or values. Used when one quantity or number is greater than or greater than the second or remaining quantity or number. This indicates that one value is greater than or greater than or greater than the other. The above symbol is ">". This is also called greater than.  For example, Bella has a red pencil that is 5 cm long and a blue pencil that is 3 cm long.

According to the Question:

1 more than 99 is:

adding 1 +99 = 100.

Therefore,

1 more than 99 is 100.

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5. In the circle, arc AD = 79, and

Answers

Answer:34

Step-by-step explanation:

ad divided by 79=34

An 18-ounce bottle of milk costs $3.60. A 12-ounce bottle of milk costs $3.00. Which bottle of
milk costs less per ounce and by how much?

Answers

Answer:

the 18 ounce bottle by 0.05

Step-by-step explanation:

the 18 ounce bottle costs 0.2

the 12 ounce bottle costs 0.25

What are the three graphs of linear equation?.

Answers

The graphing of linear functions can be done in three basic ways. Plotting points and then drawing a line through them is the first method. The second method makes use of the slope and y-intercept.

Transformations of the identity function f(x)=x f (x) = x are the third option.

There is a single solution, an infinite number of solutions, and there is no solution in an equational system. The number of solutions to a system can be determined algebraically and graphically.

Which three kinds of linear equations exist?

Linear equations can take one of three main forms: the standard form, the point-slope form, and the slope-intercept form.

What exactly are linear equation graphs?

The term "linear" refers to the graph of a linear equation with two variables. Plotting these two points and drawing the line that connects them are (x1,y1) and (x2,y2).

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The model is 3.1 feet tall. The actual building is 41.65 feet tall. This means that each foot in Matt’s scale model represents how many actual feet for the building?

Answers

Answer:

13.43

Step-by-step explanation:

Estimate a 15% tip on a dinner bill of $39.62 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:50.00

Step-by-step explanation:

First you need to find what 15% of 39.62 is 5.94 or 6 so you would add 6 to 39.62 and get 34.62 then you round it all and get 35 and it is closer to 50 than 40.

The mass is 500
grams and the
volume is 40 cubic
centimeters
The mass is 125
grams and the
volume is v cubic
centimeters
The volume is 1.4
cubic centimeters
and the density is 80
grams per cubic
centimeter (et m
equal mass in
grams)
The mass is m
grams and the
volume is v cubic
centimeters.
Equation
The density of an object can be found by taking its mass
and dividing by its volume.
Write an equation to represent the relationship between
the three quantities (density, mass, and volume) in each
situation.
Let the density, D, be measured in grams/cubic
centimeters (or g/cm3).

Answers

The density is 12.5 grams per cubic centimeter and 80 grams per cubic centimeter.

What is the density?

Density is a measure of how much mass is contained in a given volume. It is defined as the ratio of mass to volume and is typically measured in units of grams per cubic centimeter (g/cm^3) or kilograms per liter (kg/L).

The mass is 500 grams and the volume is 40 cubic centimeters, therefore the density is:

density = mass / volume = 500 grams / 40 cubic centimeters = 12.5 grams per cubic centimeter

The mass is 125 grams and the volume is v cubic centimeters. To find the value of v, you can use the equation:

density = mass / volume = 125 grams / v cubic centimeters

so v = mass / density = 125 grams / 12.5 grams per cubic centimeter = 10 cubic centimeters

The volume is 1.4 cubic centimeters and the density is 80 grams per cubic centimeter. To find the mass you can use the equation:

mass = density x volume = 80 grams per cubic centimeter x 1.4 cubic centimeters = 112 grams

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