What is the answer 8x-22=-60

1 answer:

7 0

$8x-22=-60\qquad|\text{add 22 to both sides}\\\\8x-22+22=-60+22\\\\8x=-38\qquad|\text{divide both sides by 8}\\\\\dfrac{8x}{8}=\dfrac{-38}{8}\\\\x=-4.75$

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One stack has 6 cups, and its height is 15 cm. The other one has 12 cups, and its height is 23 cm. How many cups are needed for

Ronch [10]

Answer:

Given

Number of stacks = 2

Stack 1 = 6 cups; h1 = 15cm

Stack 2 = 12 cups; h2 = 23cm

Let's first find the average:

With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:

50 / (4/3)

= 50 * 3/4

= 150/4

= 37.5

From the answer, we can see that the number of cups is not really proportional to the height of the stack, because the average of stack one and stack 2 are different.

Step-by-step explanation:

7 0

3 years ago

How do you solve an absolute value equation?

Mkey [24]

The distance between two real numbers $x,y$ is the absolute value of their difference, $|x-y|$ . So the statement "all $x$ that are 1/4 away from -6" is captured in the equation

$|x-(-6)|=\dfrac14$

$|x+6|=\dfrac14$

To solve, you can use the definition of absolute value: if $x$ is not negative, then $|x|=x$ ; otherwise, $|x|=-x$ .

So there are two cases to consider:

1. Suppose $x+6\ge0$ . Then $|x+6|=x+6$ , and the equation reduces to

$x+6=\dfrac14\implies x=-\dfrac{23}4$

2. Suppose $x+6$ . Then $|x+6|=-(x+6)=-x-6$ and

$-x-6=\dfrac14\implies x=-\dfrac{25}4$

$-6=-\dfrac{24}4$ , so the two solutions we found are correct because both $-\dfrac{23}4$ and $-\dfrac{25}4$ are indeed 1/4 away from -6.

- - -

For the question regarding inequality, you know that the absolute value must return a non-negative number. In other words, there is no $x$ such that $|x|$ .