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2 years ago

What is equal to x in x - 8pi = pi?

Mathematics

1 answer:

pochemuha2 years ago

8 0

Add 8π to both sides of the equation to get:

$x - 8\pi + 8\pi = \pi + 8 \pi$

$\boxed{x = 9 \pi}$

We have found that x = 9π. Remember that in solving problems like these with pi that it can often be helpful to treat pi as a variable.

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Students at a high school were polled to determine the type of music they preferred. There were 1940 students who

Reika [66]

Answer:

students preferred alternative music

= 461/1940 ×100%=23.7%

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2 years ago

Carlos is giving his friend in another state a new umbrella as a gift. He wants to ship the umbrella in a box he already has. Wh

notka56 [123]

Answer:

<h2>He could use the medium box.</h2>

Step-by-step explanation:

Notice that the umbrella is 37.5 inches long.

If you observe, each box doesn't have 37 inches wide, however, they are tridimensional figures, which means they have a certaing height.

So, the smalle box is too small to fit the umbrella.

But, the medium box is perfect, because it has 27 inches wide and 27 inches height, which is enough to fit the umbrella. These are the best dimensions to send the umbrella.

Therefore, the medium box is the answer, the one that has dimensions 27x14x27.

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2 years ago

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The square of a number decreased by 3 times the number 28 find all possible values for the number

stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

$a^2 - 3a = 28$

$a^2 - 3a - 28 = 0$

Let us solve the above quadratic equation

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28$

$\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}$

Thus the possible values of number are 7 and -4

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2 years ago

If a linear system has four equations and seven variables, then it must have infinitely many solutions. True or False

Savatey [412]

Answer:

The statement is False.

Step-by-step explanation:

Consider the provided information.

If a linear system has four equations and seven variables, then it must have infinitely many solutions.

We need to determine the above statement is true or false.

The above statement is false, it could be inconsistent, and therefore have no solutions,

For example:

$x_1+x_2+x_3+x_4 +x_5+x_6+x_7=0\\x_1+x_2+x_3 =1\\x_4 +x_5 =1\\x_6+ x_7=1$

Hence, there is no solution.

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2 years ago

Our competitors struggled to sell 350 products last month and we sold 46% more than they did. How many more did we sell?

vekshin1

<span>Find out how much is 46% of 350 and add this number to 350 to get the number of products we sold. 46 % of 350 = 350 * 46/100 (46% is converted intro a fraction) = 161. The number of products we sold = 350 + 161 = 511</span>

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2 years ago

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