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USPshnik [31]
3 years ago
10

Q10. Paul has 8 cards. There is a number on each card.

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Answer:

5/7

Step-by-step explanation:

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A highway patrol officer is seated on a motorcycle on a curvy section of Highway 1. The posted speed limit is 45 miles per hour
Alex787 [66]

Answer:

  80.7 mph

Step-by-step explanation:

In order to catch the car at the exit, the officer must cover the distance in 30 seconds less time than the car does. The time, speed, distance relation can be used.

<h3>Time for car to reach the exit</h3>

The relation between time, speed, and distance is ...

  time = distance/speed

Here, speed is in miles per hour, and distance is in miles. That means time will be given in hours by the straightforward application of this formula.

  time = (3.6 mi)/(68 mi/h) = (3.6/68) h = 9/170 h

<h3>Time for the motorcycle to reach the exit</h3>

There are 3600 seconds in 1 hour, so 30 seconds represents this fraction of 1 hour:

  30/3600 = 1/120

The motorcycle will have this amount of time less than the time the car takes to reach the exit, so ...

  (9/170 -1/120) h = (9(120)-170)/(170×120) h = 910/20400 h = 91/2040 h

<h3>Motorcycle speed</h3>

The speed required to cover 3.6 miles in 91/2040 hours is ...

  speed = distance/time

  (3.6 mi)/(91/2040 h) = 3.6×2040/91 mph = 7344/91 mph ≈ 80.7 mph

The officer's average speed in pursuit must be 80.7 miles per hour (or faster).

__

<em>Additional comment</em>

There are other ways the problem can be worked. One of them is to consider the remaining distance the car must travel when the officer begins pursuit. That will be 3.6 mi less (1/120 h)(68 mi/h) = 17/30 miles. The ratio of the officer's speed to the car's speed will be the same as the ratio of the officer's miles to the car's miles: 3.6/(3.6 -17/30) × 68 mph ≈ 80.7 mph.

Intermediate values used in the calculations should be kept at full calculator precision. Rounding should only be done at the end. Here, the actual speed required is 80.7032967... mph, rounded down for the above result.

6 0
2 years ago
111 is 15% of what number
Sindrei [870]

Answer:

16.65

Step-by-step explanation:

15 percent of 111 is the same as 15 per hundred of 111. We can therefore make the following equation:

15/100 = X/111

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 111, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

15/100 = X/111

X/111 = 15/100

X*111/111 = 15*111/100

X = 1665/100

X = 16.65

or

The work above shows the long way to explain how to calculate 15 percent of 111 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 15 percent of 111?", Y is 111 and P is 15:

(111 * 15)/100 = 16.65

And once again you see that the answer is 16.65.

3 0
3 years ago
Read 2 more answers
Emie ordered 3 buckets of fried chicken at $11.95 each 5 pints and Cole slaw at $2.19 each. The sales tax was $3.04. About how m
Oliga [24]

Answer:

Around $49 the actual answer is $49.84

3 0
3 years ago
HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 98 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Allisa [31]

Solution:

Find the LCM of 40 and 30 = 2

12:00 + 2 hours = 2PM

Final Answer:

They will ringt together at 2PM

6 0
3 years ago
Read 2 more answers
The product of 2 and the second power of y
Radda [10]

Answer:

(2)y²

Step-by-step explanation:

2 x y²

8 0
3 years ago
Read 2 more answers
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