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3 years ago

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Ratling [72]3 years ago

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The answer to this question is D

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What value of x6x=322 makes the following equation true?<br><br> 6x=322

olga nikolaevna [1]

The value of x that makes the equation $6x=322$ true is x=53.67

Step-by-step explanation:

We need to find the value of x that makes the equation $6x=322$ true

The equation given is:

$6x=322$

Divide both sides by 6

$6x/6=322/6$

$x=53.67$

So, the value of x that makes the equation $6x=322$ true is x=53.67

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

5 0

3 years ago

What is the area of the prism below? I will give Brainliest to the best answer! Thanks in advance.

Yuliya22 [10]

The area of this prism is 21.

Here's how:

Area= lxwxh/2 <---- That's the formula

6 0

3 years ago

Considere a função de oferta como sendo y= 5x - 1/2 e a função de demanda como sendo y= -7x + 47/2 , onde x é a quantidade e y é

swat32

A) Temos que igualar isso a 2,50, que é o valor de y, ou seja, o valor do preço. Façamos isso, então, na função de demanda.

$y = -7x + \frac{47}{2}$

Substituir.

$2,50 = - 7x + \frac{47}{2}$

Passar o que é x de um lado e o que é número do outro lado.

$-7x = - \frac{47}{2} + 2,50$

A fração 47/2 corresponde a 23,5. É mais interessante para nós, nesse caso, utilizar o valor decimal.

$-7x = - 23,5 + 2,50$

Somar logo.

$-7x = -21$

Podemos multiplicar por -1 para tirar os sinais negativos.

$7x = 21$

Passar o x dividindo

$x = \frac{21}{7}$

Dividir

$\boxed{x = 3}$

Para um preço de R$ 2,50, a quantidade demandada é de 3 unidades.

B) Basta igualar as duas formulinhas.

$5x - \frac{1}{2} = -7x + \frac{47}{2}$

Passar o que é x de um lado e o que é número do outro lado.

$5x + 7x = \frac{47}{2} + \frac{1}{2}$

Somar tudo. Como as frações têm o mesmo denominador, <u>nada de </u><u>mmc</u>! Basta somar os numeradores.

$12x = \frac{48}{2}$

Podemos dividir lá, olha:

$12x = 24$

Passar o x dividindo

$x = \frac{24}{12}$

Dividir

$\boxed{x = 2}$

O ponto de equilíbrio é o valor 2.

C) Basta, então, igualar as fórmulas da oferta e da demanda a 10.

Fórmula da oferta

$10 = 5x - \frac{1}{2}$

Passar o que é x de um lado e o que é número do outro lado.

$5x = 10 - \frac{1}{2}$

Se 1/2 = 0,5, dá pra resolver sem fazer mmc:

$5x = 10 - 0,5$

Subtrair

$5x = 9,5$

Passar dividindo

$x = \frac{9,5}{5}$

Dividir.

$\boxed{x = 1,9}$

Fórmula da demanda

$10 = -7x + \frac{47}{2}$

Passar o que é x de um lado e o que é número do outro lado.

$-7x = \frac{47}{2} - 10$

Divide 47/2, vai.

$-7x = 23,5 - 10$

Subtrair.

$-7x = 13,5$

Passar o 7 dividindo.

$x = - \frac{13,5}{7}$

Vamos dividir e transformar em decimal.

$\boxed{x = -1,9285714285714285714285714285714}$

Subtrair a oferta pela demanda.

$x = 1,9 - (-1,9285714285714285714285714285714)$

Subtrair.

$\boxed{x = 3,8285714285714285714285714285714}$

Arredondando, o preço será de R$ 3,83.

8 0

3 years ago

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each

Ostrovityanka [42]

Answer:

There were 7 small boxes and 14 large boxes shipped.

Step-by-step explanation:

This problem may be solved by a system of equations:

I am going to say that:

x is the number of small boxes used

y is the number of large boxes used

There were twice as many large boxes shipped as small boxes shipped

This means that $y = 2x$

Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.

This means that $45x + 80y = 1435$

So we have to solve the following system:

$y = 2x$

$45x + 80y = 1435$

$45x + 80(2x) = 1435$

$205x = 1435$

$x = \frac{1435}{205}$

$x = 7$

$y = 2x = 2(7) = 14$

There were 7 small boxes and 14 large boxes shipped.

7 0

3 years ago

Which measure of central tendency is least appropriate for describing the given data set?

beks73 [17]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

6, 6, 6, 7, 8, 8, 29

We will calculate the measures of central tendency:

1) Mode - the most occurring element in the data set.

So, Mode = 6

2) Median - the middle value of organised data set

So, Median = 7

3) Mean - the average of all data set

So, Mean = $\dfrac{6+6+6+7+8+8+29}{7}=\dfrac{70}{7}=10$

So, we can see that Mode and Median are giving the closest value to each other, whereas Mean is giving the farthest value as compared to rest.

Hence, Mean is the least appropriate for describing the given data set.

Thus, Third option is correct.

3 0

3 years ago