Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2 × (6 + 9) = (2 × 6) + 9
B. 2 × (6 + 9) = (2 × 6) + (2 × 9)
C. 2 × (6 + 9) = (2 + 6) × (2 + 9)

Answers

Answer 1

The answer is B It basically just expressing the 2×(6+9)

Answer 2

The expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.

What is distributive property?

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example we can write a(c+b)  in the form of (ac+bc).

We have an expression:

= 2 × (6 + 9)

After applying the distributive property:

= (2 × 6) + (2 × 9)

= (12) + (18)

= 30

Thus, the expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.

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Related Questions

canh square roots be rational numbers ?

Answers

When the square root of a number is a whole number, this number is called a perfect square. ... Not all square roots are whole numbers. Many square roots are irrational numbers, meaning there is no rational number equivalent
Very good question, i’ll try to answer this as best as I can so here we go hope you enjoy

All rational numbers have the fraction form
,
a
b
,
where a and b are integers(≠0
b

0
).

My question is: for what
a
and
b
does the fraction have rational square root? The simple answer would be when both are perfect squares, but if two perfect squares are multiplied by a common integer
n
, the result may not be two perfect squares. Like:
49→818
4
9

8
18

And intuitively, without factoring, =8
a
=
8
and =18
b
=
18
must qualify by some standard to have a rational square root.

Once this is solved, can this be extended to any degree of roots? Like for what
a
and
b
does the fraction have rational
n
th root?

Have a blessed day God bless.

A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 25 minutes? In 1 hour?

Answers

Answer: They would travel 17.25 miles in 23 minutes and 45 miles in 1 hour.

Step-by-step explanation:

If you divide 1 3/4 by 2 1/3 you get. 0.75 which is how far the car will travel each minute and then you can just multiply that number by however many minutes there are.

An entrepreneur wants to rent
a billboard at least 30 feet tall to display an
advertisement for her business. She is 5 feet 6 inches
tall and casts a shadow 7 feet long. At the same
time, a billboard casts a shadow 35 feet long. Is the
billboard tall enough?

Answers

The billboard is 73 ft talk

What are the leading coefficient and degree of the polynomial?
v +9-45-124

Answers

Answer

5x

Step-by-step explanation:

Please help thank you

Answers

I’m not sure, what is the unit called

The bearing of point Y from point X is 070°.
The bearing of point Z from point Y is 145°.
The bearing of point Z from point X is 100°.
Find the bearing of point X from point Z.

Answers

Answer:

i cant understand sorry

64 hundredths + 8 hundredths add decimals

Answers

Answer:

0.72

Step-by-step explanation:

64 hundredths= 0.64

8 hundredths= 0.08

0.64 + 0.08 = 0.72

Answer:

.72

Step-by-step explanation:

You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.

What is the missing measure?

Answers

Answer:

Step-by-step explanation:

This is a problem of ratios:

Set the problem up with matching similar side lengths equal:

50/10 = x/12

First simplify the left side:

50/10 = 5

Next, multiply both sides by 12.

We are left with:

x = 12(5)

x = 60

Helppppppppppppp please

Answers

Answer:

1.45 x 10^2

Step-by-step explanation:

In scientific notation, you get the number down to 1 digit before the decimal place and all the rest after it, then multiply by 10 raised to a power in order to get it back to the original. An easy way to do it is to count the number of times you moved the decimal and remember which direction you did it. The number is the power (in this case 2) and the direction tells you if it's positive or negative (in this case it was to the left, so it's positive two.)

In simpler terms, slide the decimal to the right two places and make it 1.45, then multiply it by 10^2 (which is 100) to make it equal to 145. This leaves you with 1.45 x 10^2.

Answer: 1.45 x 10^2


when making a whole number a decimal, the decimal is at the end of the number so you move it to make it have just one whole number. Then the times you moved the decimal forward is how many exponents you write in top
(Might sound confusing)

I need help in learning how to solve this equation using substitution:

-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4

Answers

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

A function f is defined by f(x) = 3x + 1. Find
a. f(0)=
c. f(2)=
F(-2)

Answers

Answer:

a) f(0)=3*0+1 =0+1= 1

b)f(2)=3*2+1=6+1=7

c)f(-2)=3*(-2)+1=-6+1=-5

Answer:

Step-by-step explanation:

f(x) = 3x+1

f(0) = 3x + 1

f(0) = 3*0+1

f(0) = 0+1

f(0) = 1

f(2) = 3x+1

f(2) = 3*2+1

f(2) = 6+1

f(2) = 7

f(-2) =3x+1

f(-2) =3*-2+1

f(-2) = -6+1

f(-2) = -5

f(-2) =

Which term best describes the geometric figure?

Line
Point
Ray
Segment

Answers

Answer:

point

Step-by-step explanation:

the dot has no connectives or no paths

The best describes the geometric figure is a point. SO option B is correct.

What is a line segment?

A line segment is a part of a line that connects two points which are considered to be its endpoints.

If points A and B are connected by a series of points that extended infinitely in opposite direction then AB is a line.

Therefore, The best describes the geometric figure is a point. SO option B is correct.

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Please help !!!! TIA
Draw Venn diagrams to show the prime factors for each of the following sets of three numbers.
a. 12, 14, 70
b. 6, 7, 8

Answers

Answer:

See attached file.

Step-by-step explanation:

-2/5x12 equivalent expressions

Answers

Answer:

-4.8

Step-by-step explanation:

so you * Good Times by 5 and each time you do by 12

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Answer:

w= 8/7

Step-by-step explanation:

1. divide the numbers

[tex]12w-1*10=6-2w[/tex]

2. multiply the numbers

[tex]12-10=6-2w[/tex]

3. rearrange terms

[tex]12-10=-2w+6[/tex]

4. add 10 to both sides of the equation

[tex]12w-10+1-=-2w+6+10[/tex]

5. simplify

[tex]12w=-2w+16[/tex]

6. add 2w to both sides of the equation

[tex]12w+2w=-2w+16+2w[/tex]

7. simplify

[tex]14w=16[/tex]

8.divide both sides of the equation by the same term

14w/14 = 16/14

9. simplify

w = 8/7

Answer:

[tex]w = 2[/tex]

Step-by-step explanation:

[tex] \frac{(12w - 20)}{2} = 6 - 2w[/tex]

[tex]6w + \frac{ - 20}{2} = 6 - 2w[/tex]

[tex]6w + \frac{( - 10.2)}{(1.2)} = 6 - 2w[/tex]

[tex]6w + 10 = 6 - 2w[/tex]

[tex]6w - 10 + 2w = 6 - 2w + 2w[/tex]

[tex]6w + 2w - 10 = 6 - 2w + 2w[/tex]

[tex]8w - 10 = 6 - 2w + 2w[/tex]

[tex]8w - 10 = - 2w + 2w + 6[/tex]

[tex]8w - 10 = 6[/tex]

[tex]8w - 10 + 10 = 6 + 10[/tex]

[tex]8w = 6 + 10[/tex]

[tex]8w = 16[/tex]

[tex] \frac{8w}{8} = \frac{16}{8} [/tex]

[tex]w = \frac{16}{8} [/tex]

[tex]w = \frac{2.8}{1.8} [/tex]

[tex]w = 2[/tex]

[tex]Thank \: you!!![/tex]

What ratio is equivalent to 9:6 ?

12:8
7:4
3:1
15:10

Answers

Answer:

15:10

Step-by-step explanation:

15:10 can be reduced into 3:2 by dividing with 5

and 9:6 can be reduced to 3:2 by dividing with 3

keep smiling.

Answer:

D

Step-by-step explanation:

just got in edg 2021

−1−(−5x)−2x+2x 2 +7
Simplify this expression as much as possible

Answers

Answer:

Hello, the simplified expression would be:

7x + 6

Un comerciante de ganado compro cierto número de novillos, todos al mismo precio, por un total de 1 440 000 colones. De estos, vendió 20 a 22000 colones cada uno. Si desea obtener una ganancia de 200 000 colones debe vender cada uno de los restantes novillos en 2000 más que el precio en que los compro. ¿Cuántos novillos compro y cuanto le costó cada uno?

Answers

Queremos encontrar y resolver un sistema de ecuaciones para encontrar el número de novillos comprados y el valor de cada uno.

Encontramos que las soluciones son:

Precio = 12,820.5 colones.Número = 112

La información que tenemos es:

El comerciante compro un dado número de novillos, digamos N.

El precio total fue de 1,440,000 colones.

Entonces si el precio de cada novillo es P, tenemos que:

N*P = 1,440,000

Sabemos que vendio 20 a 22,000 colones cada uno, es decir, obtuvo:

20*22,000 colones = 440,000 colones.

Es decir, de momento se tiene una perdida de:

1,440,000 - 440,000 = 1,000,000 colones.

Sí quiere obtener una ganancia de 200,000 colones, debe vender los (N - 20) novillos restantes a 2,000 colones más que P.

De esto planteamos la ecuación:

(N - 20)*(P + 2,000)= 1,000,000 colones + 200,000 colones = 1,200,000 colones.

Entonces tenemos el sistema de ecuaciones:

N*P = 1,440,000

(N - 20)*(P + 2,000) = 1,200,000

Para resolver esto comenzamos por aislar una de las variables en la primera ecuación, aislaremos N

N = (1,440,000)/P

Ahora reemplazamos esto en la otra ecuación:

(N - 20)*(P + 2,000) = 1,200,000

( (1,440,000)/P - 20)*(P + 2,000) = 1,200,000

Ahora debemos resolver esto para P.

1,440,000 - 20*P - 20*2,000 + 2,000*(1,440,000)/P = 1,200,000

- 20*P + 2,000*(1,440,000)/P = -180,000

Multiplicando ambos lados por P, obtenemos:

-20*P^2 + 2,880,000,000 = -180,000*P

Reescribimos esto como una ecuación cuadratica:

-20*P^2 +   2,880,000,000 + 180,000*P = 0

Y podemos resolver esto usando la formula de Bhaskara.

[tex]P = \frac{-180,000 \pm \sqrt{(180,000)^2 - 4*(-20)*(2,880,000,000)} }{2*-20} \\\\P = \frac{-180,000 \pm 512,640.22471 }{-40}[/tex]

Solo nos interesa la solución positiva, que es:

[tex]P = = \frac{-180,000 - 512,640.22471 }{-40} = 12,820.5[/tex]

Es decir, cada novillo le costó 12,820.5 colones.

y sabemos que:

N = 1,440,000/P = 1,440,000/12,820.5 = 112.3

Redondeamos al proximo numero entero, que es 112, donde ese 0.3 debe venir de algun error de redondeo (o más probablemente a un problema mal planteado).

Sí quieres aprender más puedes leer:

https://brainly.com/question/20868687

the price is three for $1.48 how much will one pepper cost?

Answers

Answer:

$0.4933

Step-by-step explanation:

i guess

Just divided by 3 ;)

17 in 24 in. 12 in) what is the area of the parallelogram??​

Answers

Answer:

53 in.

Step-by-step explanation:

17 + 24 + 12=53

don't forget the in.


A carpenter has already shingled 10 garage roofs and is shingling roots at a constant rate of 9 per day
Write an eguation that models the number of garage roofs, 1, after t days,
an
ok
The equation that models the given situation is?

Answers

The equation that models the situation is f(t) = 10 + 9t.

The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.

He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.

let

f(t) = number of garage roofs the carpenter shingles

t = time in days.

If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.

To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:

f(t)  = 10 + 9t

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a
A map has a scale of 1cm : 3 km
On the map, the distance between two towns is 7cm.
What is the actual distance between the two towns?
Include units for your answer.
A map has a scale of 1cm : 4 kilometres.
The actual distance between two cities is 52 kilometres.
What is the distance between the cities on the map?

Answers

Answer:

7/3=2.3

1. the distance between the towns is 2.3 km

52/4=13

2. the distance between the cities on the map is 13 cm

Step-by-step explanation:

4% of 50
Percent of a quantity
M

Answers

Answer:

4% of 50 is 2

Step-by-step explanation:

I don't get it please help and show me how to do it

Answers

Answer:

Step-by-step explanation:

You plug in the given values and compute s:

s = ut + 1/2 at^2

s  = 10*1/2 + 1/2*-2*(1/2)^2

= 5 + -1*1/4

= 4 3/4.

Is -45.58 an integer

Answers

Answer: Yes

Step-by-step explanation: Because a integer is -45.58

2. In our country today, what do you think are the possible application of pattern and sequence in the field of engineering? How?​

Answers

Engineering has many applications in our country focused on the construction and development of new technological devices.

Engineering is a term that refers to the set of scientific principles necessary to design and build machines, structures, and others such as:

BridgesTunnelsRoadsVehiclesBuildingsSystemsProcesses.

Engineering is characterized by:

Innovation and invention.Development and improvement of techniques and instruments.

According to the above, engineering has many applications in the country such as:

Construction of new and more technological buildingsManufacture of tools and devices for different applications such as education, medicine, construction, among others.

Learn more in: https://brainly.com/question/18564178

Solve: multiplying decimals with powers of 10, complete this and get brainliest

Answers

Answer:

1. 79,210

2. 6,231

3. 23.4

Step-by-step explanation:

1. 7.921 * 10^4

10 ^ 4 = 10000

move the decimal point four places to the right

= 79,210

2. 6.231 * 10^3

10 ^ 3 is 1000

move the decimal point three places to the right

6,231

3. 0.234 * 10^2

10 ^ 2 is 100

move the decimal two places to the right

23.4

What is the length of ef in the right triangle below?

Answers

Answer:

24

Step-by-step explanation:

You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]

Now isolate a on one side and solve for a.

[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]

if sin2x,1,cos2x are in gp ,then x =​

Answers

Answer:

Man I can't express how much joy I have rn. thanks man!

Someone please help me with this.

Answers

Answer:

Step-by-step explanation:

I know this is rather sneaky, but on a multiple choice question on a quiz, you need all the help you can get.  I'm not saying this is a quiz, by the way. It doesn't say that it is anywhere.

Look carefully at the first three statements. Is there an angle mentioned at all? There isn't, is there? That being the case (and since nothing is marked as a right angle), the only possible answer is SSS which D.

Answer:

D

Step-by-step explanation:

There are not any angles shown, and the triangle is not a right triangle, so it is SSS

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