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nlexa [21]
3 years ago
6

Solve | X-4| < 3 and graph the solution​

Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

Add 4 to both sides

x<7

Step-by-step explanation:

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The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your
Inessa [10]
"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or  (here)  C = 2*pi*(8 inches) = 16*pi inches.

                                                                       1 ft
Convert this to feet:  16*pi inches  times  ---------------
                                                                   12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft            2100 
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft        4
7 0
3 years ago
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d
Anika [276]

Answers:

P(A) = 7/12

P(B) = 1/4

====================================================

Explanation:

Instead of having one die, let's say we have two dice. I'll make one red and the other blue.

I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.

Using that table, we can see the following:

  • There are 6 copies of "7"
  • There are 5 copies of "8"
  • There are 4 copies of "9"
  • There are 3 copies of "10"
  • There are 2 copies of "11"
  • There is 1 copy of "12"

In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.

This is out of 36 ways to roll two dice.

Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12

-----------------------------------

If a number is divisible by 4, then it is a multiple of 4.

The multiples of 4 found in the table are: 4, 8, 12

We have

  • 3 copies of "4"
  • 5 copies of "8"
  • 1 copy of "12"

This gives 1+5+3 = 9 values that are a multiple of 4

P(B) = 9/36 = (1*9)/(4*9) = 1/4

8 0
2 years ago
Brad buys two packages of mushrooms. He paid $11.25 for 2/3 lb of Cremini mushrooms and $7.99 for 1/2 lb of Chanterelle mushroom
Genrish500 [490]

I think the answer is B if you ask me

8 0
2 years ago
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Round 26.32 to the nearest tenths.​
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Answer:

26.3

It’s really simple actually

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3 years ago
5) Ms Kelly originally was going to give a test with 20 questions on it. After talking with her team, she increased the number o
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Answer:

11.5

Step-by-step explanation:

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