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3 years ago

Combine like terms to create an equivalent expression. 17−3(37n−27)71 −3( 73 n− 72)

Mathematics

2 answers:

Nastasia [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Given : Expression To find : Combine like terms to create an equivalent expression ?Solution : Step 1 - Write the expression,Step 2 - Apply distributive property, Step 3 - Combine like terms,Therefore,

Read more on Brainly.com - brainly.com/question/14172736#readmore

patriot [66]3 years ago

4 0

Answer:

$\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})=1-\frac{9}{7}n$

Step-by-step explanation:

Given : Expression $\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})$

To find : Combine like terms to create an equivalent expression ?

Solution :

Step 1 - Write the expression,

$\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})$

Step 2 - Apply distributive property, $a(b+c)=ab+ac$

$=\frac{1}{7}-3\times \frac{3}{7}n+3\times \frac{2}{7}$

$=\frac{1}{7}-\frac{9}{7}n+\frac{6}{7}$

Step 3 - Combine like terms,

$=\frac{1}{7}+\frac{6}{7}-\frac{9}{7}n$

$=\frac{1+6}{7}-\frac{9}{7}n$

$=\frac{7}{7}-\frac{9}{7}n$

$=1-\frac{9}{7}n$

Therefore, $\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7})=1-\frac{9}{7}n$

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6th grade math help me plzzz

Brut [27]

Answer:

a summary is an average and an average is mean

Step-by-step explanation:

to get the mean add all the cakes sold together then divide by number of years

21+28+19+26+21=115

115/5=23

so....

first one: mean

second one: 23

7 0

3 years ago

Read 2 more answers

Y=–6x+2 –12x – 2y=–4 How many solutions does this linear system have?

DerKrebs [107]

The linear equation y = -6x + 2; -12x - 2y = -4 has no solution

<h3>Linear equation</h3>

y = -6x + 2

-12x - 2y = -4

Substitute y = -6x + 2 into (2)

-12x - 2y = -4

-12x - 2(-6x + 2) = -4

-12x + 12x -4 = -4

-12x + 12x = - 4 + 4

0 = 0

Solve for x

y = -6x + 2

y - 2 = -6x

x = (y - 2) / -6

Substitute into (2)

-12x - 2y = -4

-12(y- 2)/ 6 - 2y = -4

(-12y + 24) / 6 - 2y = -4

-2y + 4 - 2y = 4

0 = 0

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2 years ago

Please solve 5 f (Trigonometric Equations) #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

3 years ago

En la división sintética sólo son tomados en cuenta los coeficientes del divisor?

Airida [17]

La división sintetica sirve para el cociente entre polinomios, la cual es particularmente util para cuando tenemos un numerador de grado alto y un denominador de grado 1.

Veremos que si, en la división sintética solo son tomados en cuenta los coeficientes del divisor.

Para explicarla, usaremos un ejemplo.

x^3 - 2x^2 + 5x + 3 será el numerador

x - 2 será el denominador.

Para poder aplicar la división sintetica, el maximo exponente en el denominador debe ser uno.

Así, nuestro cociente es:

$\frac{x^3 - 2x^2 + 5x + 3}{x-2}$

Procedemos a igualar el denominador a cero:

x - 2 = 0

x = 2

Ahora veremos los coeficientes del numerador (el numerador es el divisor).

Lo que debemos hacer es tomar cada coeficiente (comenzando por los que multiplican a los terminos con mayor exponente) y multiplicarlos por este número.

En este caso, el primer coeficiente es 1.

2*1 = 2

Ahora le sumamos esto al proximo coeficiente, que es -2:

-2 + 2 = 0

Multiplicamos esto por el valor de x, que es 2.

2*0 = 0

Ahora sumamos esto al proximo coeficiente, que es 5

5 + 0 = 5

Multiplicamos esto por el valor de x, que es 2:

5*2 = 10

Sumamos esto al ultimo coeficiente, que es 3.

10 + 3 = 13

Este ultimo valor es el residuo, y los primeros 3 números que obtuvimos son los coeficientes del cociente, entonces el cociente será:

1*x^2 + 0*x + 10 = x^2 + 10

Como vimos, solo usamos los coeficientes del numerador/divisor para realizar esta operación, por lo que si, solo los coeficientes del divisor son tomados en cuenta.

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2 years ago

Nia made some warm salt water help her her sore throat. She mixed 1 teaspoon salt with 3 cups water. Nia’s mom wanted to make mo

vaieri [72.5K]

Answer:

5/3 teaspoons (if you don't want an improper fraction, it's 1 2/3 teaspoons)

Step-by-step explanation:

If she uses 1 tsp for 3 cups, then the amount needed for one cup is 1/3 tsp.

Since the mother is using 5 cups, just multiply 1/3 by 5, which equals 5/3.

8 0

3 years ago