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3 years ago

Apply the distributive property to create an equivalent expression. (6m – 7). 4=

Mathematics

2 answers:

tangare [24]3 years ago

7 0

Answer:

24m-28

Step-by-step explanation:

24m-28

Savatey [412]3 years ago

6 0

Answer: 24m-28

Step-by-step explanation:

According to the distributive property ,

$a(b+c) = ab+ac$

$(b+c)a = ba+ca$ , where a, b and c are any arbitrary expressions.

Given expression : $(6m-7)\cdot4$

By using distributive property , we have

$(6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28$

Hence, the required equivalent expression is 24m-28.

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HELPPPP PLZZ ND THANK YOU SOO MUCH

swat32

Answer:

50, 40, 30, 250, 350

Step-by-step explanation:

1/2 = 0.5, 0.5 x 100 = 50 (0.5 -> 5 -> 50)

2/5 = 0.4 (10 / 5 [the denominator] = 2, 0.2 x 2 [the numerator] = 0.4), 0.4 x 100 = 40 (0.4 -> 4 -> 40)

3/10 = (10 / 10 [the denominator] = 1, 0.1 x 3 [the numerator] = 0.3), 0.3 x 100 = 30 (0.3 -> 3 -> 30)

5/2 = 2.5 (2 1/2), 2.5 x 100 = 250 (2.5 -> 25 -> 250)

7/2 = 3.5 (3 1/2), 3.5 x 100 = 350 (3.5 -> 35 -> 350)

Note: I'm not sure if I understand the question completely, but I changed the fraction into a decimal and multiplied it by 100. Not sure what it means by "Divide fraction".

3 0

3 years ago

Use a proof by contradiction to show that the square root of 3 is national You may use the following fact: For any integer kirke

Ierofanga [76]

Answer:

1. Let us proof that √3 is an irrational number, using reductio ad absurdum. Assume that $\sqrt{3}=\frac{m}{n}$ where $m$ and $n$ are non negative integers, and the fraction $\frac{m}{n}$ is irreducible, i.e., the numbers $m$ and $n$ have no common factors.

Now, squaring the equality at the beginning we get that

$3=\frac{m^2}{n^2}$ (1)

which is equivalent to $3n^2=m^2$ . From this we can deduce that 3 divides the number $m^2$ , and necessarily 3 must divide $m$ . Thus, $m=3p$ , where $p$ is a non negative integer.

Substituting $m=3p$ into (1), we get

$3= \frac{9p^2}{n^2}$

which is equivalent to

$n^2=3p^2$ .

Thus, 3 divides $n^2$ and necessarily 3 must divide $n$ . Hence, $n=3q$ where $q$ is a non negative integer.

Notice that

$\frac{m}{n} = \frac{3p}{3q} = \frac{p}{q}$ .

The above equality means that the fraction $\frac{m}{n}$ is reducible, what contradicts our initial assumption. So, $\sqrt{3}$ is irrational.

2. Let us prove now that the multiplication of an integer and a rational number is a rational number. So, $r\in\mathbb{Q}$ , which is equivalent to say that $r=\frac{m}{n}$ where $m$ and $n$ are non negative integers. Also, assume that $k\in\mathbb{Z}$ . So, we want to prove that $k\cdot r\in\mathbb{Z}$ . Recall that an integer $k$ can be written as

$k=\frac{k}{1}$ .

Then,

$k\cdot r = \frac{k}{1}\frac{m}{n} = \frac{mk}{n}$ .

Notice that the product $mk$ is an integer. Thus, the fraction $\frac{mk}{n}$ is a rational number. Therefore, $k\cdot r\in\mathbb{Q}$ .

3. Let us prove by reductio ad absurdum that the sum of a rational number and an irrational number is an irrational number. So, we have $x$ is irrational and $p\in\mathbb{Q}$ .

Write $q=x+p$ and let us suppose that $q$ is a rational number. So, we get that

$x=q-p$ .

But the subtraction or addition of two rational numbers is rational too. Then, the number $x$ must be rational too, which is a clear contradiction with our hypothesis. Therefore, $x+p$ is irrational.

7 0

4 years ago

What is the decimal form of 1/125

pickupchik [31]

Answer:

0.008

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A type of fish for your aquarium costs $7 each. You can spend at most $28. How many of these fish can you buy? Write an inequali

makvit [3.9K]

Answer: 4

Step-by-step explanation: Divide 28 by 7

3 0

3 years ago

El caudal promedio del río chillón alcanzo 1,74 m3/s, cifra que representó un aumento de 5, 5% con relación al mes de agosto de

saul85 [17]

El caudal del río Chillón en agosto de 2.020 fue de 1,649 metros cúbicos por segundo.

Una lectura atenta al enunciado de la pregunta indica que el caudal promedio es 5,5 % mayor que el caudal del mes de agosto de 2.020. Por la definición de porcentaje tenemos la siguiente relación entre las dos cantidades:

$1,74\,\frac{m^{3}}{s} = \left(1+\frac{5,5}{100} \right)\cdot x$

En consecuencia, el caudal del río Chillón es igual a:

$x = 1,649\,\frac{m^{3}}{s}$

El caudal del río Chillón en agosto de 2.020 fue de 1,649 metros cúbicos por segundo.

Invitamos cordialmente a consultar este problema sobre porcentajes: brainly.com/question/18546712

7 0

3 years ago