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hjlf
3 years ago
11

In an 8 hour and 30 minute shift a patrolman drove 272 miles. What was his average rate(mph) during the shift?

Mathematics
2 answers:
scZoUnD [109]3 years ago
7 0

Answer:

32 mph

Step-by-step explanation:

To answer this, find the average rate of change

 272 mi

------------- = 32 mph

 8.5 hr

uysha [10]3 years ago
3 0

Answer:

32 mph

Step-by-step explanation:

We want to find the patrolman's rate in miles per hour during the shift. Since we want to find miles per hour, we must divide the miles he drove by the number of hours.

rate = miles / hours

He drove 272 miles.

rate = 272 miles / hours

He drove for 8 hours and 30 minutes. There are 60 minutes in 1 hour. One half of 60 is 30. Therefore, we can also say he drove eight and a half, or 8.5 hours.

rate= 272 miles / 8.5 hours

rate = 32 miles / hour

rate= 32 mph

His average rate during the shift was 32 miles per hour.

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The cost for 5 adults and 3 children to attend a show is $210. ( /5)
liraira [26]

Answer: i. Cost of adult ticket = $ 30

ii.  Cost of child ticket = $20

Step-by-step explanation:

Define variables:

Let x= cost of 1 adult tickets , y= cost of 1 child tickets.

Form linear equations:

5x+3y = 210      (i)

2x+5y= 160  (ii)

Multiply (i) by 2 and (ii) by 5

10x +6y = 420       (iii)

10x+25y = 800        (iv)

Eliminate (iii) from (iv)

19y = 380

⇒ y= 20

Put this in (i)

5x+3(20)=210\Rightarrow\ 5x+60 = 210\\\\\Rightarrow\ 5x=150\\\\\Rightarrow\ x=30

Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20

4 0
3 years ago
The tree diagram represents an experiment consisting of two trials. ​
Afina-wow [57]

Answer:

.26

P(C) = .6*.3   + .4 *.2

      = .18+.08

     = .26

Step-by-step explanation:

4 0
1 year ago
A red kangaroo jumps along at 40 km/h. At this rate how long would it take to jump 2 km?
LenKa [72]

 

The solution would be like this for this specific problem:

Given:  40 km/h

2 km

t = d / v
t = 2 km / 40 km/h
t = 0.05 h * 60 minutes = 3 minutes

 

<span>At this rate, it would take 3 minutes for the red kangaroo to jump 2 km.</span>
7 0
3 years ago
Rewrite the square-root expression as an imaginary number: sqrt of -64<br><br> is it 8i?
IceJOKER [234]
The answer is 8i.

i = √(-1)

√(-64) = √((-1) * 64)
           = √(-1) * √64
           = i * √8²
           = i * 8
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6 0
3 years ago
Read 2 more answers
Can someone help with #3 and show your work !!
ioda
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
  5.00 + 0.58·s ≤ 13.00

To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
  0.58·s ≤ 8.00
  s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.

Kim can download 13 songs without exceeding her budget.
8 0
3 years ago
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