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jolli1 [7]
3 years ago
15

16 - (-9 - -8)= ????

Mathematics
1 answer:
Wewaii [24]3 years ago
5 0
16-(-9- -8)= n
16- ( 9 - 8)= n
16- 1= 15
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<img src="https://tex.z-dn.net/?f=%20%7C7%20%2B%208x%7C%20%20%3E%205" id="TexFormula1" title=" |7 + 8x| &gt; 5" alt=" |7 + 8x|
ExtremeBDS [4]

The absolute value is defined as

|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

So for example, if <em>x</em> = 3, then |<em>x</em>| = |3| = 3, since 3 is positive. On the other hand, if <em>x</em> = -5, then |<em>x</em>| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.

For the inequality |7 + 8<em>x</em>| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.

• If 7 + 8<em>x</em> ≥ 0, then |7 + 8<em>x</em>| = 7 + 8<em>x</em>, so that

|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14

• Otherwise, if 7 + 8<em>x</em> < 0, then |7 + 8<em>x</em>| = -(7 + 8<em>x</em>), so that

|7+8x|>5\implies-(7+8x)>5\implies7+8x

The solution to the inequality is the union of these two intervals.

3 0
3 years ago
Write an equivalent multiplication expression for 1/3 divided by 3​
SpyIntel [72]

Answer:

1/3 times 1/3

Step-by-step explanation:

the answer is 1/3 * 1/3 because when you divide with fraction you make the 3 or 3/1 turned around which is 1/3, then you multiply 1/3 * 1/3

3 0
2 years ago
Help please!! I'm very confused
lawyer [7]

Answer:

6

Step-by-step explanation:

it goes by two so I think it'll be six , not so sure tho :)

4 0
2 years ago
What is the correct expanded form for the number 43.205?
nasty-shy [4]

Answer:

2nd one

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of
antoniya [11.8K]
The volume of a sphere is (4/3) (pi) (radius cubed).

The volume of one sphere divided by the volume of another one is

 (4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³

Divide top and bottom by (4/3) (pi) and you have     (radius-A)³ / (radius-B)³
and that's exactly the same as
                                                         ( radius-A / radius-B )  cubed.

I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.

Earth radius = 6,371 km
Pluto radius = 1,161 km

Ratio of their radii = (6,371 km) / (1,161 km)

Ratio of their volumes =  ( 6,371 / 1,161 ) cubed = about <u>165.2</u>

Note: 
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.
4 0
3 years ago
Read 2 more answers
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