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Alex17521 [72]
3 years ago
14

Part A: Explain why x = 6 makes 4x − 5 ≤ 19 true but not 4x − 5 < 19. (5 points)

Mathematics
1 answer:
navik [9.2K]3 years ago
8 0
PART A : If you start solving it, it will looks like this: 4*6  - 5 ≤ 19 -> 19<span>≤19 which is actually true because 19 is = to 19. 
But 19 < 19 because they're actually equal. 
<span>2 :
</span>PART A : 25 x = 930.75 
The number of ticker -> 25 The price of a ticket -> x ( as we don't know and it's what we are asked to find. 
930.75 is the total amount of money raised. 
PART B: 25 x = 930.75 
25 x : 25 = 930.75 : 25 
x= 37.23 £ 
To find out if this is correct, we replace ''x'' in the equation : 25 * 37.23 = 930.75 -> 930.75 = 930.75 
3. PART A  : x </span><span>≥ 18 
</span>     PART B: You create the number line, put the number 18 on it and draw a circle which must be filled. The arrow's direction must be right, to + infinite ( I don't know if this is the way it must be described but English is not my native language) 


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The wheel turned a total of 300 times in 1,884 feet.

Step-by-step explanation:

Step 1:

The wheels of the bicycle have a diameter of 24 inches. So the radius of the wheels is 12 inches.

To determine how many times the wheel turns we divide the distance traveled by the circumference of the wheels.

The circumference of a circle is given by multiplying 2π with the radius.

The circumference of the wheel = 2(3.1415)(12) = 75.396.

The circumference of the wheel is 75.396 inches.

Step 2:

Gia traveled 1,884 feet, we need to convert this into inches.

If 1 feet = 12 inches, 1,884 feet = 22,608 inches.

The number of times the wheel turned \frac{22,608}{75.396} = 299.8567.

Rounding this off, we get that the wheel turned a total of 300 times in 1,884 feet.

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