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Maru [420]
3 years ago
9

How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number. The large tire

has a diameter of 60 inches. The small tire has a radius of 9 inches.
Mathematics
1 answer:
VladimirAG [237]3 years ago
3 0
The large tire makes 3 rotations, and the small tire makes 11 rotations.

We must find the circumference of each tire to know how many feet are covered when it makes one complete rotation.

C=πd

For the large tire, this means:
C=3.14(60) = 188.4

Dividing 600/188.4, we get (to the nearest whole number) 3 rotations.

For the small tire, we have:
C= 3.14(2*9) = 3.14(18) = 56.52

Dividing 600/56.52, we get (to the nearest whole number) 11 rotations.
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Rewrite the equation by completing the square. f (x) = x^2 + 20x - 86
9966 [12]

Answer:

f(x) = (x+10)^2 - 86

Step-by-step explanation:

  1. f(x) = x^2 + 20x - 86
  2. f(x) = x^2 + 20x + 100 - 86 (because (20/2)^2 = 100)
  3. f(x) = (x+10)^2 - 86

Completing the square means you do (b/2)^2 where b is: a^2x + bx + c.

7 0
3 years ago
Which of the following is the correct definition for dependent events? A. Two events are dependent if they have no outcomes in c
tatuchka [14]

The correct definition of dependent events is two events are dependent if the outcome of the first event affects the outcome of the second event.

<h3>What are dependent events?</h3>

Two events are dependent if the outcome of one of the event depends on the outcome of the first event.  An example of a dependent event is if it rains, the floor would be wet.

To learn more about dependent events, please check: brainly.com/question/13075229

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5 0
2 years ago
5x - x + 12 +2x - 7 = 10
Degger [83]
Combine like terms. Like terms are completely the same excluding coefficients.
6x+5=10

Subtract 5 from both sides
6x=5

Divide bith sides by 6
x=5/6

Final answer: B
4 0
3 years ago
Read 2 more answers
Will give brainliest!!! The MTC Theater holds 250 people, and last night’s performance sold out! Students under the age of 16 pa
MakcuM [25]
60 children tickets and 190 adult tickets were sold.

Step-by-step explanation:

Let the no. of adult tickets sold be 'a'

Let the no. of children tickets sold be 'c'

Total tickets sold = 250

Cost of 1 children ticket = $2.5

Cost of 1 adult ticket = $4

Total money collected= $910

Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910

Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190
4 0
3 years ago
The perimeter of a rectangular field is 380 yd. the length is 70 yd longer than the width. find the dimensions.
GaryK [48]
P=2L+2W
380=2*70+2W
380=140+2W
2W=240
W=120

The dimensions are 70 yd and 120 yd

Hope this helps!
3 0
3 years ago
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